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Math Level L: Logarithms, Calculus Level L marks the beginning of calculus. Students begin by studying logarithmic functions, followed by basic differentiation and definite and indefinite integration. The level concludes with an analysis of applications of integration, including areas, volumes, velocity and distance
Mathematics A set of small tools and utilities for academia, to be used to teach (and learn) different topics (at the undergraduate level) in computer science in the subject of the theory of computation and pure/theoretical computer scienceUltimate Scientific Calculator (USC) is a program to perform calculations with extreme precision on both extremely large or small numbers, and provide too many built-in and user-defined functions and formulas.
Burleson CalculusThis means that I will explain fundamentals with the aid of practical examples. I think the best way to understand a subject is to solve a large number of example problems. I consider myself a very patient and painstaking person
What level of education are you at? I'd expect high school math textbooks to have answers so you can check your work... because y'know it's not the answer that's important it's how you got the answer so you can reapply what you learnt It's honestly much more important to know how you got an answer in college than in high school. A lot of the time in high school you're just pluggin' and chuggin' for the answer, while as in college you're actually learning why the volume of a cylinder is the formula it is. But in college they can make more money off you if you have to buy the book and answer manual separate, so that's exactly what they do. Not really, Math is the same at all levels, If you don't know why 2 + 2 = 4, then you'll never be able to work out why 9+9=18, it's all about applying the same principals to different problems If you are doing high school stuff like... differentiating quadratic polynomials, you need to know how and why to do each step of working, otherwise you'll have the wrong answer. You can't plug and chug as much there, although there are a few rules to follow, and certain scenarios where you can take shortcuts which would be plug and chug also....I find it really odd, that I covered your college work, in the 7th grade You knew the formula for the volume of a cylinder in 7th grade. Knowing the formula doesn't mean you know how the math is applied in that formula, why are the numbers where they are and why does the actual calculation work? Yes we did go over why at the time. There really isn't much to that formula anyway, provided you understand why pi exists, and you know how to work out the area of a circle, then multiplying it by it's height provides the internal volume just like any other regular 3d shape....eg. area of a face of a rectangle, multiplied by it's depth.. which obviously is lwh To understand a mathematical principal, you need to be able to derive it yourself. I didn't say memorize, I said understand. Or maybe i'm not understanding what you're saying when you say "why it works" I'll admit, that in physics, we were given a set of formulas with little explanation as to why they work. But math, every formula was broken down for us and shown to us that it makes complete sense that they are the way they are. The equation of a circle is r^2=x^2+y^2, the area of a circle is A=pi(r^2). With calculus using just that equation I can come up with the formula for area without knowing prior what that formula is. Looking at the graph of a circle and figuring out the area is pretty damn easy. What I mean by "why it works" is why does multiplying it's height give the internal volume? Why does plugging in, like I said you were doing, the measurements given work? I'm talking, usually, about more complex shapes than a simple circle as well. Odd 3D shapes you're able to figure the area out much easier than you could in high school, and you don't need formulas or calculators for any of it really. Except some rather universal formulas such as trig identities and such, but most of those formulas like you said are just shortcuts because you can always calculate out why those are true. the only point I was trying to make originally, was that if you don't understand how the mathematical principals work you're going to get the wrong answer, hence why having the answer's available to check your working is important. It's been a long time since I left high school, and I'm not going to pretend that proving each of those formulas was my favorite part I think I agree. It's true if you don't know why simple things like distributing work, then you won't be able to understand how to use any information given. Factoring shows easily why something like that works, but then again I don't have the mind of a 7th grader anymore so maybe it's not so simple to them. Basically, if you don't know how to go backwards and forwards completely in an equation you truly don't understand what you did.
The best Collection of Math cheat sheetsMany Cheat Sheets in your mobile to have the formulas wherever and whenever you want.With this application you can use your travel time to study, or just have it as a quick reference when needed.NOTE: App can be moved to the SD Card!!Contents:=========Algebra. Elementary techniques for factoring binomials and trinomialsAlgebra. Exponent laws and factoring tipsAlgebra. Solving quadratic equations by completing the squareAlgebra. College Algebra quick referenceAlgebra. Solution of the 3rd degree polynomial equationAlgebra. Solution of the 4th degreee polynomial equationTrig. Basic trig identitiesTrig. Law of sines cosines etc and other triangle formulasTrig. Graphs of the trig functionsTrig. Inverse trig functionsTrig. Power reducing formulas for powers of sines and cosinesTrig. Graph paper for plotting in polar coordinatesTrig. Two unit circles with trig funcion valuesTrig. Single unit circle with trig function valuesCalculus. Basic differentiation formulas and some useful trig identitiesCalculus. Basic differentiation and integration formulasCalculus. Definitions and theorems pertaining to Riemann sums and definite integralsCalculus. A quick reference sheet on Taylor polynomials and seriesCalculus. A summary of convergence testsCalculus. Guidelines for evaluating integrals involving powers of sines and cosinesCalculus. Guidelines for evaluating integrals involving powers of secants and tangentsCalculus. Standard forms for conic sectionsCalculus. Common infinite seriesCalculus. Trigonometric substitutionCalculus. Cylindrical coordinatesCalculus. Spherical coordinatesCalculus. Hyperbolic functionsCalculus. Applications of integralsCalculus. Applications of integralsCalculus. Common ordinary differential equationsCalculus. Common ordinary differential equationsCalculus. Common ordinary differential equationsCalculus. Undetermined coefficients and variation of parametersCalculus. Vector formulasCalculus. Simple summary of cylindrical and spherical coordinatesMisc. Some prime and composite numbersMisc. Sets. Functions lines and sequencesStatistics formula sheet Page 1Statistics Page 2Statistics Page 3
Ohio Graduation Test Mathematics Review Author: Unknown ISBN-13: 9781932410303 ISBN: 1932410309 Pub Date: 2002 Publisher: American Book Company Summary: REA's new Mathematics test prep for the Ohio Graduation Test (OGT) provides all the instruction and practice that students need to excel. Passing this exam is required to receive a high school diploma. The book's review covers the areas articulated in Ohio's Academic Content Standards for Mathematics: Number, Number Sense, and Operations; Measurement; Geometry and Spatial Sense; Patterns, Functions, and Algebra; and ...Data Analysis and Probability . Includes two full-length practice tests and complete explanations of all answers. Details: - All materials in this book are aligned with Ohio's Academic Content Standards - Two full-length practice tests- Lessons enhance all skills necessary for the exam- Confidence-building tips reduce test anxiety and boost test-day readiness"REA ... Real review, Real practice, Real results."[read more]
Basic College Math - With Early Integers - 2nd edition Elayn Martin-Gay firmly believes that every student can succeed, and her developmental math textbooks and video resources are motivated by this belief.Basic College Mathematics with Early Integers, Second Editionwas written to help students effectively make the transition from arithmetic to algebra. The new edition offers new resources like theStudent Organizerand now includesStudent Resourcesin the back of the book to help students on th...show moreeir$37.73 +$3.99 s/h Good BookCellar-NH Nashua, NH 03217264346.269598.69 +$3.99 s/h New Stork Group Phoenix, MD Brand new and unread! Join our growing list of satisfied customers! $144.76321726438 $148
Archives We received this comment from a Geometry Approach curriculum user: "I'm finding myself very frustrated because there are no explanations of how the answers are obtained. Is there no teacher manual in addition to the answer book? The answer book is nice but it doesn't tell us how you got the answer if we are confused." This is a good point. The RightStart™ Mathematics; A Hands-On Geometric Approach level is a different format than the prior RS levels. Geometric Approach is set up more as exploration of math, which, of course, is more like your child's future learning. In high school and college, it is expected that the student will "read between the lines" and extract information that's not quite specifically stated. My high school senior and three college kids get so very frustrated with this, but that's the way it works! Real life is this way too. Think of a baby running a fever. There is no manual that specifically states the answer or provides the steps to the cure. Instead, we need to run with trial and error. Sometimes Tylenol brings the fever down. Sometimes a cool bath. Maybe both are needed. Sometimes it's a trip to the doctor for antibiotics! So, how do we help you and your child work through these lessons? Well, two things will help. First, read (or re-read) the "Hints on Tutoring" found in the front of the lesson book and attached below. A critical excerpt from this page reads "If a paragraph is unclear, the student should reread the paragraph, keeping in mind that sometimes more is explained in the following paragraph. No one learns mathematics by reading the text only once." I personally find not rereading the lesson is my greatest error when working through the Geometric Approach. My second most common error is reading too quickly, then jumping to conclusions, which mostly are wrong. Second, ask us a specific question and we will get an answer to you. Have your student send an email to either info@RightStartMath.com or to JoanCotter@RightStartMath.com, put "Math Student" in the subject line, and we'll get an answer to you as quickly as humanly possible. You may call us at 888-272-3291 and talk through the question with one of our competent people. Also, have you and your child watched the "How To Teach" recorded webinar? This will give both of you a firmer foundation in which to work through the program. Remember, if we did have a teacher's manual, it would be so tempting to following the instructions item by item, which may stifle true learning. So, although I understand and agree with some of the frustration, think of this as a change in your child's thinking and learning. It's now time to explore and think through situations, rather than just follow a rigid algorithm. Finally, remember to email and/or call us. We are here to help you and your child be the best you can be with your mathematics and with your future learning. As we've been going through the RightStart™ Mathematics Level A program, I'm absolutely amazed to see how quickly 5-year-old Aspen is picking it up. She is so excited about math and devours it each time we open up the kit. Currently the items we're doing are coinciding well with her kindergarten class. We'll go through her lessons at home and then a few weeks later, they'll touch on the same concept and she flies right through it with great success. Aspen carries around her AL Abacus Junior in her backpack and has been using it in her classroom. She says that the kids in her class love to use it as well! She is also using it in her daycare to "teach" the other kids math. Her daycare provider gets a huge kick out of watching her be the teacher and how excited the other kids are to learn from her. Aspen's grasp of math has been such a blessing. Time and time again, I'm wishing I had known about the program when her older brother was going through school…. Maren has continued to work with her daughter, Aspen. Let's hear how it's been progressing….. January 25, 2012 Aspen has been showing great understanding of organizing items by size in Level A. She is able to take any type of items and organize them both smallest to largest and in reverse. She continues to beg to go through her lessons each night and rarely gets frustrated with anything we've encountered thus far. She continues to want to "count items" using her AL Abacus. She wanders around the house and totals up her findings then has to verify that she is correct. When asked if a certain quantity has been added or subtracted, she has been stellar in her grasping of the concept and rarely gets them incorrect. I'm finding that the lessons are clear and concise and that it's been quite easy to give the instructions to her to follow. February 22, 2012 Aspen has been flourishing with her Level A lessons. She's still so very excited when we work a lesson. We were working on parallels and about a week following the lesson as we were driving down the highway, Aspen kept asking to play the "pallellell game". She definitely has a slight problem pronouncing it, however I was racking my mind trying to figure out what she was talking about. It finally came to me that she wanted to play a game to see if items were or were not parallel. We play our new game now whenever we have a drive, as well as when we are at home. She continues to verify with me if she's correct when she judges if any two items are parallel or not. Math has been becoming one game after another with her, and it's such a joy to see her enjoying herself and her new knowledge she's acquiring. March 27, 2012 Things are progressing nicely for Aspen, as she continues to enjoy her math. She loves working with the Abacus, and continues to play with it to work on her skills even when we're not doing a lesson. She's been working diligently on identifying numbers of items with her tally sticks, abacus and her fingers, and for the most part, she's been successful. She still struggles with the 7, 8 and 9, but is getting more successful with those all the time. She still has a tendency to try to count those out when she thinks I'm not looking. She was working on them the other night, when her big brother, who's 18, was watching. She was given an "8″ and she was looking at the abacus to figure out the appropriate beads to move, when her brother said, "Aspen just count them out on your fingers", in which Aspen replied: "Bohdey, we don't do it that way, we have to think about it." He just looked at her and grinned. Maybe a little of this will eventually rub off on him, as he didn't have the opportunity to take advantage of this product and he struggled all the way through school with his math classes. A mom can always be hopeful!
College Algebra : Graphs and Models - 3rd edition ISBN13:978-0077221287 ISBN10: 0077221281 This edition has also been released as: ISBN13: 978-0073051956 ISBN10: 0073051950 Summary: TheBarnett Graphs & Modelsseries in college algebra and precalculus maximizes student comprehension by emphasizing computational skills, real-world data analysis and modeling, and problem solving rather than mathematical theory. Many examples feature side-by-side algebraic and graphical solutions, and each is followed by a matched problem for the student to work. This active involvement in the learning process helps students develop a more thorough understanding of concepts and proce...show moresses.A hallmark of the Barnett series, the function concept serves as a unifying theme. A major objective of this book is to develop a library of elementary functions, including their important properties and uses. Employing this library as a basic working tool, students will be able to proceed through this course with greater confidence and understanding as they first learn to recognize the graph of a function and then learn to analyze the graph and use it to solve the problem. Applications included throughout the text give the student substantial experience in solving and modeling real world problems in an effort to convince even the most skeptical student that mathematics is really useful
Numerical well-respected text gives an introduction to the modern approximation techniques and explains how, why, and when the techniques can be expected to work. The authors focus on building students' intuition to help them understand why the techniques presented work in general, and why, in some situations, they fail. With a wealth of examples and exercises, the text demonstrates the relevance of numerical analysis to a variety of disciplines and provides ample practice for students. The applications chosen demonstrate concisely how numerical met... MOREhods can be, and often must be, applied in real-life situations. In this edition, the presentation has been fine-tuned to make the book even more useful to the instructor and more interesting to the reader. Overall, students gain a theoretical understanding of, and a firm basis for future study of, numerical analysis and scientific computing. A more applied text with a different menu of topics is the authors' highly regarded NUMERICAL METHODS, Third Edition. The new Eight Edition of Burden and Faires' well-respected Numerical Analysis provides a foundation in modern numerical-approximation techniques.
Mathematica is the world's only fully integrated environment for technical computing. First released in 1988, it has had a profound effect on the way computers are used in many technical and other fields. It is often said that the release of Mathematica marked the beginning of modern technical computing. Ever since the 1960s individual packages had existed for specific numerical, algebraic, graphical and other tasks. But the visionary concept of Mathematica was to create once and for all a single system that could handle all the various aspects of technical computing in a coherent and unified way. The key intellectual advance that made this possible was the invention of a new kind of symbolic computer language that could for the first time manipulate the very wide range of objects involved in technical computing using only a fairly small number of basic primitives. When Mathematica Version 1 was released, the New York Times wrote that "the importance of the program cannot be overlooked", and Business Week later ranked Mathematica among the ten most important new products of the year. Mathematica was also hailed in the technical community as a major intellectual and practical revolution. At first, Mathematica's impact was felt mainly in the physical sciences, engineering and mathematics. But over the years, Mathematica has become important in a remarkably wide range of fields. Mathematica is used today throughout the sciences—physical, biological, social and other—and counts many of the world's foremost scientists among its enthusiastic supporters. It has played a crucial role in many important discoveries, and has been the basis for thousands of technical papers. In engineering, Mathematica has become a standard tool for both development and production, and by now many of the world's important new products rely at one stage or another in their design on Mathematica. In commerce, Mathematica has played a significant role in the growth of sophisticated financial modeling, as well as being widely used in many kinds of general planning and analysis. Mathematica has also emerged as an important tool in computer science and software development: its language component is widely used as a research, prototyping and interface environment. The largest part of Mathematica's user community consists of technical professionals. But Mathematica is also heavily used in education, and there are now many hundreds of courses—from high school to graduate school—based on it. In addition, with the availability of student versions, Mathematica has become an important tool for both technical and non-technical students around the world. The diversity of Mathematica's user base is striking. It spans all continents, ages from below ten up, and includes for example artists, composers, linguists and lawyers. There are also many hobbyists from all walks of life who use Mathematica to further their interests in science, mathematics and computing. Ever since Mathematica was first released, its user base has grown steadily, and by now the total number of users is above a million. Mathematica has become a standard in a great many organizations, and it is used today in all of the Fortune 50 companies, all of the 15 major departments of the U.S. government, and all of the 50 largest universities in the world. At a technical level, Mathematica is widely regarded as a major feat of software engineering. It is one of the largest single application programs ever developed, and it contains a vast array of novel algorithms and important technical innovations. Among these innovations is the concept of platform-independent interactive documents known as notebooks. Notebooks have already become the standard for many kinds of courseware and reports, and with the new capabilities added in Mathematica Version 3 they have begun to emerge as a general standard for publishing technical documents on the web and elsewhere. The development of Mathematica has been carried out at Wolfram Research by a world-class team led by Stephen Wolfram. The success of Mathematica has fueled the continuing growth of Wolfram Research, and has allowed a large community of independent Mathematica-related businesses to develop. There are today nearly a hundred specialized commercial packages available for Mathematica, as well as several periodicals and more than two hundred books devoted to the system. THIS IS DOCUMENTATION FOR AN OBSOLETE PRODUCT. SEE THE DOCUMENTATION CENTER FOR THE LATEST INFORMATION.
Algebra.com is a free online algebra study guide and problem solver designed to supplement any algebra course. There are hundreds of solved problems, video solutions, sample test questions, worksheets, and interactives. Discussion for Algebra Study Guide with Videos John Redden (Faculty) I originally I wrote this study guide to benefit our online algebra students. Online students seldom see problems worked out by hand. In addition, the videos were designed to supplement regular course instructional materials. It soon became clear that my traditional in-class students were benefiting from the material as well. With that I decided to open it up to everyone on the web as an open educational resource. I truly hope it helps. Technical Remarks: This is a Blogger website linking to YouTube videos. It is mobile friendly.
Mathematics from the Visual World The University of Texas at AustinPh.D., University of Wisconsin at Madison Video or Audio? While this course works well in both formats, the video version features graphics to enhance your learning experience, including illustrations, images of people and events, and on-screen text. Video Exclusive This course is richly illustrated with animations and hundreds of images to enhance your comprehension of the material. Audio Exclusive This course is available exclusively for audio. Which Format Should I Choose? Digital Discs Watch or listen immediately Play on your PC, laptop, or iPad Keep track of your course progress Choose download or live streaming Play as many times as you want Receive DVDs (or Audio CDs) What are CD Soundtracks? CD Soundtracks are the entire audio portion of this video course. They contain some references to visual images, animations, graphics and content designed for the video experience. What are Digital Soundtracks? Digital Soundtracks are the entire audio portion of this video course. They contain some references to visual images, animations, graphics and content designed for the video experience. 73% off for a limited time Choose a Format Choose DIGITAL to play now online or download. Choose DVD to get discs in the mail. DVD$69.95$254.95 DVD will ship on November 9 Mathematics from the Visual World COURSE DESCRIPTION Plato's Academy in Athens was the think tank of the ancient world and bore this motto over its door: "Let no one ignorant of geometry enter here." Ever since, geometry has been recognized as not only a useful and fascinating skill, but also as a gateway to the highest realms of human thought. Seemingly simple geometric ideas such as the Pythagorean theorem turn out to have profound implications in unexpected places, including our modern conception of space and time. Mathematics from the Visual World, taught by veteran Teaching Company Professor Michael Starbird of The University of Texas at Austin, takes Plato's dictum to heart and introduces you to the terms, concepts, and astonishing power of geometry. In 24 richly illustrated lectures, you learn that geometry is everywhere. It is the key to scientific disciplines from cosmology to chemistry. It is central to art and architecture. It provides deep insights into algebra, calculus, and other mathematical fields. And it is stunning to contemplate in its beauty. Consider these intriguing applications of geometry: Conic sections: Euclid and other ancient mathematicians investigated conic sections—the shapes produced by the intersection of a plane and a cone. Two thousand years later, Galileo, Kepler, and Newton discovered that these shapes describe the paths followed by free-falling objects in a gravitational field. Non-Euclidean geometry: Euclidean geometry is simple and intuitive, and it appears to govern the world around us. But a nagging problem with Euclid's concept of parallel lines led to the discovery of new geometries in the 1800s. These non-Euclidean geometries accurately reflect phenomena in physics and other disciplines. Topology: Under what conditions can a coffee cup and a doughnut be considered the same? When they are analyzed in topology—the branch of mathematics that deals with shapes that retain their identity after twisting and stretching. Topology captures fundamental geometric properties of objects, giving us a new perspective on reality. Intellect and Eye From the simplicity of the golden rectangle to the infinitely complex realm of fractals, no other area of mathematics is so richly endowed with interesting examples as geometry, which appeals to both the intellect and the eye. All of geometry's many applications make use of the bedrock concepts of axioms, theorems, and proofs. In Mathematics from the Visual World, you discover that these traditional techniques are not ends in themselves but tools for gaining new insights such as these: In exploring the surprisingly diverse ways of defining the center of a triangle, you learn that one type of center, and the associated circle that inscribes the triangle with that center, led to a breakthrough in skin-grafting techniques for surgeons. The unusual shape of art galleries, with many nooks and crannies, raises the question of how many security cameras suffice to protect the room. You learn creative strategies for attacking this problem and reaching a solution. The shape of the universe itself is subject to simple geometric analysis. The observations themselves may be tricky, but Dr. Starbird shows that distinguishing among three possible geometries is relatively straightforward once we have the data. On a more everyday level, you may be interested to know that the age-old problem of how to cut a square cake so that each piece has the same quantity of icing is easily solved. Famous Problems Geometry is also richly endowed with famous problems, some with life-or-death implications. Take the Delian Problem: Legend has it that in ancient Athens the citizens consulted the oracle at Delos for advice on how to stop a deadly plague. The oracle replied that the plague would end if the Athenians doubled the size of their cube-shaped altar to the god Apollo. So the Athenians doubled each side. But the plague continued unabated. The oracle had meant that they should double the altar's volume, not its linear dimensions. Doubling the cube in this way is a classic problem from antiquity, which Professor Starbird proves is impossible to solve with the traditional tools of a straightedge and compass. However, in the 17th century Isaac Newton showed that the construction can be done if one is allowed to make two marks on the straightedge. Dr. Starbird explains how this clever trick works. Here are some other famous problems that you investigate in Mathematics from the Visual World: How large is the Earth? The problem of measuring the Earth was solved around 200 B.C. by the Greek mathematician Eratosthenes. All he needed were observations of the shadow cast by the sun at two particular locations on a special date—plus a bit of geometry. Why is it dark at night? A geometrical argument by 19th-century German astronomer Heinrich Wilhelm Olbers proved that the universe cannot be infinite in size, infinitely old, and compositionally the same in all directions. Otherwise, the night sky would be ablaze with light—which it isn't. Königsberg bridges: Walkers in 18th-century Königsberg in Prussia amused themselves by seeing if they could cross all seven bridges in the central city without passing over the same bridge twice. Mathematician Leonhard Euler showed there is no solution, laying the foundation for the field of graph theory. A Delightful, Enlightening, and Invigorating Journey A specialist in geometry and topology, Dr. Starbird is not only Professor of Mathematics at The University of Texas at Austin but also University Distinguished Teaching Professor. He has won an impressive array of teaching awards, including most of the major teaching awards at UT, a prestigious statewide teaching award, and the national teaching award from the Mathematical Association of America. Professor Starbird believes that there is no excuse for a dull course on mathematics, a philosophy he pursues throughout Mathematics from the Visual World. In Lecture 1 he says, "To me, the satisfying aspect of a great proof occurs when the proof reveals some underlying, often surprising connection or relationship from which we see some truth that we previously could not fathom. When we see such a proof, we might say, 'Aha, that's why it's true.'" Although they don't always come easily, you have many such "aha" moments in this course. An old story recounts that King Ptolemy of Egypt asked Euclid, the father of geometry, whether there was a simpler way to understand the axioms, theorems, and proofs of the subject. Euclid's famous answer was, "There is no royal road to geometry." However, now there is Professor Starbird's road, which is a delightful, enlightening, and invigorating journey through one of the most glorious inventions of the human mind. LECTURES 24Lectures Shapes, patterns, and forms have intrigued humans for millennia. You start your exploration of the world of geometry by examining the contributions of the ancient Greek mathematician Euclid, who wrote the most famous textbook in any subject for all time: the Elements. What geometrical objects qualify as being the same? This lecture explores the concepts of congruence and similarity, which Professor Starbird uses to give two proofs of the Pythagorean theorem, including one discovered by Leonardo da Vinci. You investigate basic features of the circle, including its radius, diameter, circumference, and the famous constant pi. On the practical side, you learn that a belt that is snuggly encircling the Earth can be comfortably loosened by adding just a few feet to the circumference, and that manhole covers need not be circular. Delving into the hidden complexity of triangles, you discover the many ways of defining the center. There are the incenter, circumcenter, and orthocenter, to name just a few. Every triangle has circles naturally associated with it, which recently inspired an innovative technique for grafting skin. This lecture looks at three theorems about triangles that illustrate different strategies of proofs. The nine-point circle proof takes simple geometric properties and extends them to explain an amazing relationship. Napoleon's theorem can be proved with a process called tessellation. And the proof of Morley's Miracle proceeds backward! Every student of Euclidean geometry learns how to construct basic geometric figures using a straightedge and a compass. You see how these methods reveal a connection between the construction of the golden rectangle and the regular pentagon. A surprisingly deep question is, Which of the other regular polygons can also be constructed? You investigate three famous construction problems that were posed in antiquity and remained unsolved until the 1800s. Using a straightedge and a compass, is it possible to (1) double a cube, (2) trisect every angle, or (3) construct a square with the same area as a given circle? A plane passing through a right circular cone produces one of four classic shapes depending on the angle at which it intersects the cone. These "conic sections" are a circle, ellipse, parabola, or hyperbola. They arise frequently in physics; for example, the orbits of the planets are ellipses. Professor Starbird starts with formulas for simple polygons such as a rectangle, a parallelogram, and a triangle. Then he shows how to deduce the area formulas for a circle and an ellipse. Finally, he demonstrates ingenious methods developed recently to compute the areas of various curved figures. How many security cameras are needed in an art gallery that has many nooks and crannies? You examine a clever proof that illustrates two effective strategies for analyzing the problem: divide and conquer, and seek essential ideas. The proof delivers an "aha" moment when the pieces fall into place. The challenge of depicting three dimensions on a two-dimensional plane leads you to an exploration of map projections, in which various strategies are used to render a globe on a flat surface. Artistic perspective is another technique for dealing with three dimensions on two. You investigate the method devised by the ancient Greek mathematician Archimedes for determining the volume of a sphere. Then you explore some surprising features of the two-dimensional plane that are revealed by projecting shapes into a third dimension. Challenging you to imagine what a cube that is spinning on two opposite corners looks like, Professor Starbird uses this exercise to introduce a proof of Brianchon's theorem, in which you discover the fascinating properties of the architectural shape common to nuclear reactor cooling towers. The most controversial of Euclid's axioms was his parallel postulate, which mathematicians sought in vain to prove from Euclid's other axioms. Two millennia later, this problem led to the breakthrough of non-Euclidean geometries. One of these is spherical geometry, which you study in this lecture. You explore hyperbolic non-Euclidean geometry, which has the property that for any point not on a given line there are infinitely many lines through the point that are all parallel to the line. A model for hyperbolic geometry called the Poincaré disk was the source for artistic work by The dark night sky is proof that the universe is not infinitely expansive, infinitely old, and isotropic. You see how geometry is used to prove this and other features of the universe, including the size of the Earth and the nature of planetary orbits. Is the universe best described as having spherical, hyperbolic, or Euclidean geometry? Another way of asking this question is, Does the universe have positive, negative, or zero curvature? You examine the possible observations that would help determine the true shape of the universe. Higher-dimensional geometry is a rich domain with truly surprising insights. This lecture uses thought experiments in the first, second, and third dimensions to help you reason by analogy into the fourth dimension. Once you have this skill, there's no obstacle to going to even higher dimensions. One of the most fundamental features of decorative designs is symmetry, seen in the repeated patterns on floor tiles, carpets, wall coverings, building ornamentation, screensavers, and paintings. You learn that different patterns have different ways of repeating. This lecture investigates Penrose and pinwheel tilings as illustrations of symmetry that is, paradoxically, at once orderly and chaotic. Such examples of aperiodic geometry have an uncanny ability to describe the real physical world and also lead to a new aesthetic sense. Fractals have caught the popular imagination due to their beautiful complexity, and apparent symmetry and self-similarity. But how are they made? In this lecture, you see how infinitely intricate images arise naturally from repeating a simple process infinitely many times. Examples include Mandelbrot and Julia sets. You focus on three famous geometric problems that relate to graph theory: the Königsberg bridge problem, the traveling salesman problem, and the four-color problem. Although easy to state, each leads into a fascinating thicket of mathematical ideas that can be explored with graphs. Topology deals with shapes that retain their identity after twisting and stretching. For example, a coffee cup and a doughnut are topologically equivalent because each can be continuously deformed to produce the other. You look at surprising transformations that can occur in the topological realm. Professor Starbird concludes by stepping back to survey the big picture of the geometrical questions explored during these lectures. From Euclid to fractals, the evolution of geometrical ideas over thousands of years is a model for how concepts spring from one another in marvelous profusion and grow in unexpected directions. The University of Texas at Austin Ph.D., University of Wisconsin at Madison Dr. Michael Starbird is Professor of Mathematics and University Distinguished Teaching Professor at The University of Texas at Austin, where he has been teaching since 1974. He received his B.A. from Pomona College in 1970 and his Ph.D. in Mathematics from the University of Wisconsin–Madison in 1974. Professor Starbird's textbook, The Heart of Mathematics: An Invitation to Effective Thinking, coauthored with Edward B. Burger, won a 2001 Robert W. Hamilton Book Award. Professors Starbird and Burger also collaborated on Coincidences, Chaos, and All That Math Jazz: Making Light of Weighty Ideas, published in 2005. Professor Starbird has won many teaching awards, including the Mathematical Association of America's 2007 Deborah and Franklin Tepper Haimo National Award for Distinguished College or University Teaching of Mathematics, which is the association's most prestigious teaching award. It is awarded nationally to 3 people from its membership of 27,000. Professor Starbird is interested in bringing authentic understanding of significant ideas in mathematics to people who are not necessarily mathematically oriented. He has developed and taught an acclaimed class that presents higher-level mathematics to liberal arts students. VIDEO OR AUDIO?
An Introduction to Orthogonal Polynomials An Introduction to Orthogonal Polynomials Assuming no further prerequisites than a first undergraduate course in real analysis, this concise introduction covers general elementary theory related to orthogonal polynomials. It includes necessary background material of the type not usually found in the standard mathematics curriculum. Suitable for advanced undergraduate and graduate courses, it is also appropriate for independent study. Topics include the representation theorem and distribution functions, continued fractions and chain sequences, the recurrence formula and properties of orthogonal polynomials, special functions, and some specific systems of orthogonal polynomials. Numerous examples and exercises, an extensive bibliography, and a table of recurrence formulas supplement the text. Reprint of the Gordon and Breach Science Publishers, New York, 1978 edition.
what does pre-algebra mean?? - damainmind, Monday, August 25, 2008 at 9:15pm so am i dumb for learning this in 8th grade?? well um basically its elementary math what does pre-algebra mean?? - bobpursley, Monday, August 25, 2008 at 9:21pm That is the main critism of prealgebra, it is a rehash of things taught before. However, my experience tells me that all kids learn by repetition, and they learn things at specific times of brain (cognitive)(look that word up) development, and in that, all kids are different. So what is taught in the sixth grade class is not absorbed by all kids, some have to have more repetition, and some need more time to handle the abstract concepts. what does pre-algebra mean?? - Grace, Thursday, June 7, 2012 at 9:25pm pre algebra is like a bunch of math that comes before algebra in middle school. what does pre-algebra mean?? - Delilah, Wednesday, September 26, 2012 at 7:35pm Pre-Algebra is basically preparing you for Algebra. Pre-Algebra teaches you Order of Operations, Properties of Numbers, Rational and Irrational Numbers, Exponents, PEMDAS, ect. pre-algebra - write an inequality for the sentence. The total t is greater than ... Pre-Algebra: Help - I have to do a webquest for pre-algebra and we have to make ... pre-algebra - kk my teach told me to describe and draw things that are about pre... Pre-Algebra - This is about Reasoning Strategy, I really need help on this, I ... pre- algebra - what does grams mean?? Pre- Algebra - What does the prefix centi- mean??? Pre-Algebra - What does P-E-M-D-A-S mean? I know they are the orders of ... Pre-Algebra B - 5 \| 4,5,5,6,6,6,7,8,8,9 6 \| 0,0,1,1,2,2,2,3,4,4,4,5,6,7 7 \| 0,1... Spanish - Answer the following questions what does pre viernes el pescado o el ... Statistics - In Professor White's statistics course the correlation between the ...
... read more Concepts of Modern Mathematics by Ian Stewart In this charming volume, a noted English mathematician uses humor and anecdote to illuminate the concepts of groups, sets, subsets, topology, Boolean algebra, and other mathematical subjects. 200 illustrations. The Theory of Remainders by Andrea Rothbart An imaginative introduction to number theory and abstract algebra, this unique approach employs a pair of fictional characters whose dialogues explain theories and demonstrate applications in terms of football scoring, chess moves, and more. A Course in Algebraic Number Theory by Robert B. Ash Graduate-level course covers the general theory of factorization of ideals in Dedekind domains, the use of Kummer's theorem, proofs of the Dirichlet unit theorem, and Minkowski bounds on element and ideal norms. 2003 edition. Sieve Methods by Heine Halberstam, Hans Egon Richert This text by a noted pair of experts is regarded as the definitive work on sieve methods. It formulates the general sieve problem, explores the theoretical background, and illustrates significant applications. 1974 editionElementary Number Theory: Second Edition by Underwood Dudley Written in a lively, engaging style by the author of popular mathematics books, this volume features nearly 1,000 imaginative exercises and problems. Some solutions included. 1978 edition. Product Description: recommend the book unreservedly to all readers." — Martin Gardner
Yes, lots of maths. Yes, headaches ensue. If you're learning about it for AI/machine learning kinds of situations, I recommend Tom Mitchell's Machine Learning [google.com] textbook. The easiest to understand of any, although (if you're like me) you'll still need to spend a lot of time with flashcards and note-taking to have it make sense. Orwant's got the brain I'm most envious of. He can look at almost any math I run across and understand it. I'm planning a brain transplant at OSCON, but don't tell him that. I'll bring the adze and the slotted spoon if you bring the fermented grain anaesthetic...
books.google.com thirteen books of Euclid's Elements. The works of Archimedes, including The method. Introduction to arithmetic User ratings
Math Using Calculators With this new text and a calculator, students can develop math skills they'll need on the job and in their daily lives. Math and Workplace Skills ...Show synopsisWith this new text and a calculator, students can develop math skills they'll need on the job and in their daily lives. Math and Workplace Skills Projects are at the end of each chapter. Students can use the text long after they have completed the course. In this edition, the following are new: Pretests are included in the student edition, a template disk for spreadsheet applications are packaged with student editions and it has a complete set of assessment options with answers included in the instructor's annotated edition.Hide synopsis
MATLAB Student Version 04/01/03 Students in engineering, math or science have a new technical computing resource designed for their needs. The MathWorks' MATLAB Student Version includes full-featured versions of MATLAB and Simulink, the software products used by engineers, scientists and mathematicians at leading universities, research labs, technology companies and government labs. MATLAB integrates computation, data analysis, visualization and programming in one environment. Simulink is one of the leading interactive environments for modeling, simulating and analyzing dynamic systems. In addition, there is no difference between the student and professional versions of the program, which, according to the company, is important because students are learning skills with the same tools they may use in a professional arena. The program also comes with MATLAB and Simulink books to help students get started. This product has a special student price of $99. The MathWorks, (508) 647-7000, This article originally appeared in the 04
Linear Algebra the most geometric presentation available, Linear Algebra with Applications, Fifth Editionemphasizes linear transformations as a unifying theme. This elegant textbook combines a user-friendly presentation with straightforward, lucid language to clarify and organize the techniques and applications of linear algebra. Exercises and examples make up the heart of the text, with abstract exposition kept to a minimum. Exercise sets are broad and varied and reflect the author's creativity and passion for this course. This revision reflects car... MOREeful review and appropriate edits throughout, while preserving the order of topics of the previous edition.
9780495389613 ISBN: 0495389617 Edition: 4 Pub Date: 2008 Publisher: Cengage Learning Summary: Algebra can be like a foreign language. But one text delivers an interpretation you can fully understand. Building a conceptual foundation in the "language of algebra," approac...hes Tussy, Alan S. is the author of Elementary and Intermediate Algebra (with CengageNOW Printed Access Card), published 2008 under ISBN 9780495389613 and 0495389617. Three hundred seventy seven Elementary and Intermediate Algebra (with CengageNOW Printed Access Card) textbooks are available for sale on ValoreBooks.com, one hundred twenty four used from the cheapest price of $23.62, or buy new starting at $163.49ISBN-13:9780495389613 ISBN:0495389617 Edition:4th Pub Date:2008 Publisher:Cengage Learning Valore Books is the top book store for cheap Elementary and Intermediate Algebra (with CengageNOW Printed Access Card) rentals, or used and new condition books available to purchase and have shipped quickly.
Calculator provides advanced graphing for calculus, AP courses and university studies. Permitted for use on many state and standardized tests. Includes official AP calculus review questions on the enclosed product CD. Graphs functions, parametric and polar equations, recursively-defined sequences, three-dimensional surfaces, and differential equations. Includes EE*Pro App for electrical ... Dynamic full-color display with backlit capability. Thin and lightweight with easy touchpad navigation. Use digital images or your own photos and overlay with graphical elements on the screen. Student Software allows students to continue and/or complete assigned work outside of the classroom. Rechargeable battery included; lasts up to two weeks on a single charge. The TI-34 MultiView scientific calculator comes with the same features that made the TI-34 II Explorer Plus so helpful at exploring fraction simplification, integer division and constant operators. Enter statistical data for 1- and 2-var analysis as well as for exploring patterns via list conversions to see different number formats like decimal, fraction and percent side-by-side. Quickly view From the kitchen table to the playground, children are intrigued by their world. The TI-15 is a pedagogically sound tool that helps students make connections between classroom learning and real-world situations.The TI-15 combines the fraction capabilities of the Math Explorer with a two-line display, problem solving, place value and more. When the TI-15 is combined with traditional learning ... The TI-84 Plus Silver Edition graphing calculator comes with a USB cable, plenty of storage and operating memory, and lots of pre-loaded software applications all to help you gain an academic edge from pre-algebra through calculus, as well as biology, chemistry and physics. You can use this TI graphing calculator on the PSAT, SAT, and ACT college entrance exams andWhat's your vision of learner success?The TI-Nspire™ CAS with Touchpad handheld device lets you map out your lessons, steer learners on their journey and help them to reach their goals with state-of-the-art TI-Nspire technology. With CAS (Computer Algebra Systems) you can perform numeric, exact and symbolic calculations, factor and expand expressions and solve equations and prepare and teach ... The sleek TI-Nspire CX handheld is the thinnest and lightest TI graphing calculator model to date Overlay and color-code math and science concepts on digital images or your own photos The installed TI-Nspire Rechargeable Battery is expected to last up to two weeks of normal use on a single charge Color-code equations, objects, points and lines on the full-color, backlit ... Multiple line fraction scientific calculator that replaces the TI-34II Explorer. The MultiView display shows up to 4 lines of calculations, including the entry and result. Ideal for middle grade students. Recall and edit previous entries. See math expressions and symbols in proper math notation. DETAILS: Middle Grade Graphing Calculator The Texas Instruments TI73 graphing calculator is designed for middle-grade students. It has a large screen to help students see patterns and analyze data. It features stacked fractions and data analysis functions that allow students to easily view and edit numeric and alphanumeric data in the list editor. They will be able to plot data ... The two-line display scientific calculator combines statistics and advanced scientific functions and is a durable and affordable calculator for the classroom. The two-line display helps students explore math and science concepts in the classroom.Color: Raspberry
... Show More insight. There are many diagrams to illustrate the physical meaning of the mathematical concepts, which is essential for a full understanding of the subject. Each chapter concludes with a summary of the most important points, and there are worked examples that cover all of the material. The final chapter introduces some of the most important applications of vector calculus, including mechanics and electromagnet
MATH 1020 Intermediate Algebra Course info & reviews This course is the second preparatory algebra course and readies students for the first college-level mathematics course. Concepts studied in the course include rational expressions and equations, functions, radical expressions and equations, complex numbers, and solving equations using factoring, completing the square, and the quadrat...
Foundations of Computational Mathematics ISSN: 1615-3375 (Print)1615-3383 (Online) Description Foundations of Computational Mathematics (FoCM) publishes research and survey papers of the highest quality, which further the understanding of the connections between mathematics and computation, including the interfaces between pure and applied mathematics, numerical analysis and computer science.
Intermediate Algebra - With 2 CDs - 10th edition Summary: This concise and cumulative guide shows students the art of technical writing for a variety of contexts and institutions. Using examples from the business and non-corporate world, the book emphasizes transactional writing through practical explanations, real-world examples, and a variety of ''role-playing'' exercises. Each section builds on the next as readers learn a variety of models of style and format. This edition features a stronger emphasis on electronic commu...show morenication, integrated coverage of ethics, and more explanation of how to create technical documents that produce concrete results. ...show less 3.1 The Rectangular Coordinate System 3.2 The Slope of a Line 3.3 Linear Equations in Two Variables Summary Exercises on Slopes and Equations of Lines 3.4 Linear Inequalities in Two Variables 3.5 Introduction to Functions Chapter 4: Systems of Linear Equations 4.1 Systems of Linear Equations in Two Variables 4.2 Systems of Linear Equations in Three Variables 4.3 Applications of Systems of Linear Equations 4.4 Solving Systems of Linear Equations by Matrix Methods 9.1 The Square Root Property and Completing the Square 9.2 The Quadratic Formula 9.3 Equations Quadratic in Form Summary Exercises on Solving Quadratic Equations 9.4 Formulas and Further Applications 9.5 Graphs of Quadratic Functions 9.6 More about Parabolas and Their Applications 9.7 Quadratic and Rational Inequalities 11.1 Additional Graphs of Functions 11.2 The Circle and the Ellipse 11.3 The Hyperbola and Functions Defined by Radicals 11.4 Nonlinear Systems of Equations 11.5 Second-Degree Inequalities and Systems of Inequalities14436240321443624
Introduction: High school graduation requires a minimum of 20 units of Math, and must include passing Algebra 1 or its equivalent. The paths below are models to be used as guidelines only in creating your own unique program. Consult your SHS Course Catalog for ideas and ask your parents, teachers and counselor for suggestions in developing a meaningful four-year plan which will best prepare you for your particular post-graduation plans. The future is yours; plan for it! Course Descriptions ALGEBRA 1* Grade Duration Credits Repeat Status 9-12 Year 5/5 No Fulfills Requirements: Math for SHS, for UC/CSU, c Prerequisite: Algebra Readiness or teacher recommendation Course Description: This course is designed to meet the California state requirement for Algebra 1. Its topics include operations of real numbers, equations and their applications, graphing, systems of equations, exponents and radicals, polynomials and factoring, quadratic functions and equations, rational expressions. Students must pass Algebra 1 (or its equivalent in Algebra 2) to graduate. * Also Sheltered Algebra 1 Fulfills Requirements: Math for SHS, for UC/CSU, c Prerequisite: "B" or better in Algebra I. Freshmen must have an excellent score on the SHS placement test as well as a teacher recommendation and a satisfactory GPA. Course Description: This course will study proofs and applications of angle relationships, perpendicular lines, parallel lines and planes, component triangles, similar polygons, constructions, loci, coordinate geometry, areas and volumes. Trigonometry and symbolic logic may also be introduced. Recommended for math and physical science majors. ALGEBRA 2 Grade Duration Credits Repeat Status 10-12 Year 5/5 No Fulfills Requirements: Math for SHS, for UC/CSU, c Prerequisite: A "C" or better in Algebra and Geometry Course Description: This course is designed for college-prep students who would like to continue their study in algebra but who do not intend to pursue a math or physical science major. Topics of study include systems of numbers, polynomials and rational expressions, linear equations and inequalities, coordinate geometry, relations and functions, quadratic functions, conic sections and trigonometry. Sequences and series may be included if time permits. Fulfills Requirements: Math for SHS, for UC/CSU, c Prerequisite: Previous teacher recommendation. Freshmen must have an excellent score on the SHS Placement Test, a satisfactory GPA and a teacher recommendation. Course Description: This course is open to freshman students with an exceptionally strong history of high math achievement who are also motivated to accelerate their math education. Topics will include systems of numbers, polynomials, rational expressions, linear equations and inequalities, coordinate geometry, relations and functions, quadratic functions, systems of sentences, real exponents, logarithmic functions, conic sections, sequences and series. May also include probability, statistics, trigonometry, matrices, determinants and vectors. Recommended for math and science majors. Much self-discipline is required in this course. Fulfills Requirements: Math for SHS, for UC/CSU, c, g Prerequisite: Previous teacher recommendation Course Description: This is a very challenging, fast-paced course with major emphasis on an introduction to calculus. AP CALCULUS (B/C) Grade Duration Credits Repeat Status 10-12 Year 5/5 No Fulfills Requirements: Math for SHS, for UC/CSU, c, g Prerequisite: Pre-Calculus Course Description: AP Calculus is a university-level calculus course intended for those who may wish to continue to advanced work in mathematics, the sciences, engineering or business at the college level. The course content and expectations will conform to the Advanced Placement Calculus BC curriculum as described in the current College Board "acorn" book. These topics include: functions and graphs; derivatives (concept of derivative, techniques for finding derivatives, and application of derivative); integrals (interpretations applications of integrals, applications of integral, techniques of antidifferentiation); polynomial approximations and aeries. Students are expected to take the AP Calculus BC Exam in May. Fulfills Requirements: Math for SHS, for UC/CSU, c, g Prerequisite: Algebra 2 with a grade of A or B both terms or consent of instructor Course Description: The purpose of this course is to introduce students to the major concepts and tools for collecting, analyzing, and drawing conclusions from data. Students are exposed to four broad conceptual themes: The advanced placement statistics course curriculum will be covered in two high school semesters. Students who successfully complete the course and examination may receive credit and/or advanced placement for a one-semester introductory college statistics course. Fulfills Requirements: Math for SHS Prerequisite: None Course Description: This course is designed to prepare students for Algebra 1. Its topics include preliminary mathematical and arithmetic concepts and skills. Additionally, it introduces students to 3 Algebraic concepts that students will then build upon in Algebra 1. TUTORING If your student is struggling with his/her homework, check out hotmath.com. It is a free resource for our students which shows the step-by-step process for solving math problems that have been assigned as homework. Contact your student's math teacher for the password. Contact your teacher for lists of private tutors in the Santa Cruz area.
Course Description Intended Outcomes for the course Upon successful completion of this course, the student will have satisfactorily accomplished the goals and objectives listed in this course content guide. The course content guides are developed by college-wide area faculty and are approved by management. 1.0 ARITHMETIC REVIEW Instructional Goal: To review the fundamental operations of arithmetic. Instructional Goal: To learn the principles of algebra and their technical applications. Objectives: 3.1.0 Solve linear equations in more than one unknown by the following methods: a. graphically b. substitution c. determinants 3.1.1 Add, subtract, multiply and divide: a. monomials b. polynomials 3.1.2 Identify and factor polynomials which are: a. the perfect square of a binomial b. the product of binomials of the form (Ax + By) and (Ax - By) c. factorable by completing the square d. the cube of a binomial 3.1.3 Solve equations requiring the addition, subtraction, multiplication and division of fractions containing one or more terms with one or more variables. 3.1.7 Identify the domain and range of various functions. Use functional notation in relating the independent and dependent variables for graphing and/or evaluating fractions symbolically. Course Activities and Design A brief review of selected topics in arithmetic and elementary algebra will be followed by intensive treatment of more advanced topics in algebra. The class activities will include lectures (questions are invited), students problem solving at the chalkboards and frequent tests. Homework is assigned and required. Grades will be based on tests, homework, class participation and on other student performances as detailed by the instructor during the first week of class. Evaluation: At the discretion of the instructor based upon homework, test scores, and final examination.
NCEA Algebra Description This app is a simple and effective study tool to prepare you for your NCEA Algebra exams. Practice as many times as you would like from the convenience of your Android device; anytime or anywhere. Created as a study aid, Algebra encourages you to work through each question as you would in an exam. We can provide you with the help you need if you get stuck. Think you have got the correct answer?...
9780470904121 Buy New Textbook Not Yet Printed. Place an order and we will ship it as soon as it arrives. $207.68Engineers looking for an accessible approach to calculus will appreciate Precalculus, 2nd Edition. The book offers a clear writing style that helps reduce any math anxiety they may have while developing their problem-solving skills. It incorporates Parallel Words and Math boxes that provide detailed annotations which follow a multi-modal approach. Your Turn exercises reinforce concepts by allowing them to see the connection between the exercises and examples. A five-step problem solving method is also used to help engineers gain a stronger understanding of word problems
Errors and Misconceptions in Maths at Key Stage 2: Working Towards Success in SATS - 1853469203This is a new edition of this popular title, which provides a fantastic reference point for students studying for their SATs and GCSEs. It is split into...... more This is a new edition of this popular title, which provides a fantastic reference point for students studying for their SATs and GCSEs. It is split into 4 main sections covering all aspects of the national curriculum, from algebra to APRs, volume to vectors and trigonometry to transformation. It is brightly and clearly illustrated. It includes a glossary of mathematical terms and symbols. It comes with internet-links to help learners find out more about maths. Junior Illustrated Dictionary of Science: A new science dictionary full of clear, straightforward explanations of the key terms and concepts from KS2 and up. It offers hundreds of useful examples and illustrations. It follows the success of the "Junior Illustrated Maths Dictionary". It is suitable for students and parents alike. Advantages: Very clear and understandable Disadvantages: I haven't found any so far ...confident to explain situations and scenarios with my daughter in order to give her practical experience behind the theories and concepts. The site is easy to navigate (and having a KS1 child doing SAT's as well this year it's a great help as she isn't greatly computer literate, as you can imagine) this is a big help. It is bright, interesting and very interactive. I would happily (and have... Advantages: well written, incredibly useful, well laid out, suitable for all exam boards, sensible size Disadvantages: can be a little expensive ...~~~~~~~~~~~~~~~~~~~~~~~~~~~~ Successful ICT Projects In Excel. ~~~~~~~~~~~~~~~~~~~~~~~~~~~~ Just under a year ago I was told that for my A level ICT coursework I would have to do an ICT project, preferably in Access. Now me being stubborn and demanding argued that I wanted to do my project in Excel as I preferred working with it and felt that Excel was far more suitable for the project I had...
ALEX Lesson Plans Title: We Are Family (Analyze Families of Functions) Description: Students 23: Rearrange formulas to highlight a quantity of interest, using the same reasoning as in solving equations. [A-CED4] [MA2010] ALT (9-12) 15 Mathematics (9 - 12) Title: We Are Family (Analyze Families of Functions) Description: Students
I really don't know why God made math, but you will be happy to know that a group of people also came up with Algebrator! Yes, Algebrator is a program that can help you crack math problems which you never thought you would be able to. Not only does it provide a solution the problem, but it also gives a detailed description of how it got to that solution. All the Best! Algebrator truly is a masterpiece for us algebra students. As already said in the post above, it solves questions andAlgebrator is a user friendly software and is definitely worth a try. You will also find several interesting stuff there. I use it as reference software for my math problems and can say that it has made learning math more fun.
COLL.MATH.F/BUS,ECON,LIFE.. by BARNETT List Price: $143.00 Annotated Instructor Edition Rent Our Price: $29.59 Term: Description This accessible text is designed to help readers help themselves to excel. The content is organized into three parts: (1) A Library of Elementary Functions (Chapters 12), (2) Finite Mathematics (Chapters 39), and (3) Calculus (Chapters 1015). The book's overall approach, refined by the authors' experience with large sections of college freshmen, addresses the challenges of learning when readers' prerequisite knowledge varies greatly. Reader-friendly features such as Matched Problems, Explore & Discuss questions, and Conceptual Insights, together with the motivating and ample applications, make this text a popular choice for today's students and instructors.
Beginning Algebra 9780321769527 ISBN: 032176952X Edition: 8 Pub Date: 2011 Publisher: Prentice Hall PTR Summary: Tobey, John Jr, Jr. is the author of Beginning Algebra, published 2011 under ISBN 9780321769527 and 032176952X. Six hundred fifty Beginning Algebra textbooks are available for sale on ValoreBooks.com, one hundred sixteen used from the cheapest price of $119.35, or buy new starting at $166the primary subject of this book is math. The book is effective. It helped me to not only go over what I already knew and review it but also take my time to understand what I didn't know or already forgot. The most interesting thing I learned in this book was shortcuts with fractions. I am one of many people who does not like fractions. This book has ways to simplify those fractions which makes it easier to do them. I didn't really find anything in this book to be not helpful. I like that it has an online part to compete homework, and to help explain different parts of algebra problems so you would understand better I think this book is closely related to other algebra books I've had to use, mostly in high school.
Mathematical Excursions - 3rd edition Summary: MATHEMATICAL EXCURSIONS, Third Edition, teaches students that mathematics is a system of knowing and understanding our surroundings. For example, sending information across the Internet is better understood when one understands prime numbers; the perils of radioactive waste take on new meaning when one understands exponential functions; and the efficiency of the flow of traffic through an intersection is more interesting after seeing the system of traffic lights represented in a math...show moreematical form. Students will learn those facets of mathematics that strengthen their quantitative understanding and expand the way they know, perceive, and comprehend their world. We hope you enjoy the publisher notations on cover New inside no writing or marks includes all Students content and all answers. new-text only no acc...show moreess code or other supplements. ship immediately - Expedited shipping available ...show less $137.55 +$3.99 s/h New JUGGERNAUTZ Troy, MI 1111578494 INSTRUCTORS EDITION. Exact Same Content as Student Edition but May Contain Answers and/or Teaching Notes. DOES NOT Include Supplements such as Online Access Codes or CDs. Ships Same Day! $202.12 +$3.99 s/h New Textbookcenter.com Columbia, MO Ships same day or next business day! UPS(AK/HI Priority Mail)/ NEW book $233
By connecting applications, modeling, and visualization, Gary Rockswold motivates students to learn mathematics in the context of their experiences. In order to both learn and retain the material, students must see a connection between the concepts and their real-lives emphasis on the rule of four (verbal, graphical, numerical, and symbolic representations). A flexible approach allows instructors to strikeMore... their own balance of skills, rule of four, applications, modeling, and technology
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The following is a summary of main duties for some occupations in this unit group: Mathematicians conduct research to extend mathematical knowledge in traditional areas of mathematics such as algebra, geometry, probability and logic and apply mathematical techniques to the solution of problems in scientific fields such as physical science, engineering, computer science or other fields such as operations research, business or management. Statisticians conduct research into the mathematical basis of the science of statistics, develop statistical methodology and advise on the practical application of statistical methodology. They also apply statistical theory and methods to provide information in scientific and other fields such as biological and agricultural science, business and economics, physical sciences and engineering, and the social sciences. Actuaries apply mathematical models to forecast and calculate the probable future costs of insurance and pension benefits. They design life, health, and property insurance policies, and calculate premiums, contributions and benefits for insurance policies, and pension and superannuation plans. They may assist investment fund managers in portfolio asset allocation decisions and risk management. They also use these techniques to provide legal evidence on the value of future earnings generally only a requirement for limited hearing in this job
The Calculus Tutor DVD Series will help students understand the fundamental elements of calculus- -how to take algebra and extends it to include rates of change between quantities. Concepts are introduced in an easy to understand way and step-by-step example problems help students understand each part of the process. This lesson introduces students to the technique of integration known as integration by parts; students are taught how to recognize when a problem could be solved using this technique of integration. Grades 9-12. 29 minutes on DVD.
It has again been a while since I have reviewed a manga book. This is one of several atypical educational books that use graphic art to help teach difficult concepts or illustrate the action and another wonderful entry in the "Manga Guide to…" series that I have been reviewing. I keep requesting review copies of each title in the series as they come out, and I have yet to be disappointed. This is an impressive series that consistently makes very difficult academic topics more interesting and a little easier for students. I would not consider these a replacement for a textbook, and neither would the publishers of the series, but every book that I have reviewed from the series would make an excellent supplement, especially for the struggling student. The Manga Guide to Linear Algebra follows the actions of a Reiji, who wants a black belt in Karate and to gain the interest of the girl of his dreams, Misa. She happens to be the younger sister of the captain of the university Karate club, and although her brother is intimidating, he offers to give Reiji lessons in exchange for Reiji tutoring Misa. You will have to read the book to see how that turns out. The book starts with an introduction to the characters, then an introduction to linear algebra. I admit, it has been many years since I studied the topic and I was interested to see how quickly I would pick it back up. The book made it easier than I anticipated, partially because it gives context for each concept presented. Knowing why something is important and how it fits into a greater scheme makes it much easier to understand and remember. Topics covered in the book include fundamentals like number systems, implication and equivalence, set theory, functions, combinations and permutations. We then transition into matrices with a "what is a matrix?" section, calculations, special matrices and lots more. Once matrices are covered in depth, vectors are introduced along with calculations, geometric interpretations, linear independence, bases, dimensions, and coordinates. Once we move into linear transformations and spend some time trying to get a handle on this difficult topic, the presentation turns to an interesting discussion of the relationship between linear transformations and matrices–again, this helps provide some useful context to a difficult idea to grasp. Finally, the book discussed Eigenvalues and Eigenvectors, including how to calculate them, multiplicity, and diagonalization. Then, the storyline surrounding the mathmatical topic is brought to a close. Studying linear algebra? This won't replace your textbook and doing your homework, but it may help you figure out the context for and gain a deeper understanding of what you are doing. That alone makes the book valuable and earns it my recommendation as a quality introduction to the topic. Disclosure: I was given my copy of this book by the publisher as a review copy. "The Manga Guide to Linear Algebra" [...] The Manga Guide to Linear Algebra. August12. It has again been a while since I have reviewed a manga book. This is one of several atypical educational books …matthewhelmke.net/2012/…/the-manga-guide-to-linear-algebr… [...]
Basics: -Enter values and view results as you would write them -Swipe up, down, left, or right to quickly switch between keyboard pages. -Long click on keyboard key to bring up dialog about key. -Undo and Redo keys to easily fix mistakes. -Cut, Copy, and Paste. -User defined functions with f, g, h Graphing: -Graph three equations at once. -View equations on graph or in table format. -Normal functions such as y=x^2 -Inverse functions such as x=y^2 -Circles such as y^2+x^2=1 -Ellipses, Hyperbola, Conic Sections. -Inequalities -Logarithmic scaling -Add markers to graph to view value at given point. -View delta and distance readings between markers on graph. -View roots and intercepts of traces on graph. Q. Is there are tutorial anywhere explaining how to use the graphing calculator? A. There are three into tutorials in the app for the calculator, graph equations, and graph screens. Additional tutorials can be found on our website Q. How do I get to the keys for pi, e, solve, etc? A. There are four keyboard pages. Each swipe direction across the keyboard moves you to a different page. The default page is the swipe down page. To get to the page with trig functions, swipe left. To get to the matrix keys, swipe up. To get to the last page, swipe right. No matter what page you are on, the swipe direction to move to a specific page is always the same. Q. What do you have planned for future releases? A. You can keep up to date on the latest news on our blog at . This news will include what is coming up in future releases. Also feel free to leave comments and let me know what you think! This is an active project. I am continuing to work to add more features to make this the best free graphing, symbolic, and scientific calculator for android. If you find a bug or have questions, please email me. For the latest news, visit our blog. Nov 26 -Keys on keyboard turn blue when pressed. -Added taylor key to compute taylor series. -Solve function can now solve systems of equations with up to 6 equations. -Cubic equations can now be solved in exact mode. -logs can simplify to fractions in exact mode. For example, log(9,3) will now simplify to ½. Add radius circumference and diameter also a rounding feature and a temp converter and a money feature (75 stars) by Michael Corbit on 02/11/2013 Uninstalled after about 15 minutes to replace it with the paid version. It's worth supporting an app that does what you want. What I wanted was a calculator that displays math like it would if you wrote it out by hand, and does it without being painful. A (75 stars) by Vaibhav Tayal on 31/10/2013 The graph of arccot(x) is being mistaken in the app... please fix it as fast as possible.. one star gone for that :(... the range is (0,pi) and it shows graph between (-pi/2,pi/2)... PLEASE CHECK
Math Made Nice - N - Easy, Book #3 - 00 edition Summary: Almost everyone needs some math in everyday life, at work, in a career, for study, for shopping, for paying bills. dealing with a bank, in sports, using credit cards, etc. This series of books simplifies the learning, understanding, and use of math, making it non-threatening, interesting, and even fun. The series develops math skills in an easy-to-follow sequence ranging from basic arithmetic to pre-algebra and beyond. These books draw on material developed by the U....show moreS. Government for the education of government personnel with limited math and technical backgrounds. Volume III covers factoring, ratios, linear equations, proportions, variations, and functions
Maths Maths is all around you and you can't stop it happening! You handle cash most days, walk on intricate paving, look at a clock, walk up a set of stairs, catch a bus, work out the value for money, look in a mirror, sit on a chair. Maths provides opportunities to communicate anywhere in the world in a universal language - no translations needed! It genuinely helps with thinking skills, problem solving techniques and quantifying skills - three things you definitely need in life. In Years 8 and 9 students study topics covering the Mathematics attainment targets: Number and Algebra, Shape, Space and Measures and Handling Data. All topics covered have been taken from the National Strategy Framework and are taught at Support, Core or Extension level. Students have also used and applied their mathematical skills in various situations. During the Flexidays students consider the relationships between Mathematics and other areas of life. Students have the opportunity, through Flexidays, to revise concepts, skills and knowledge required for the National Curriculum Tests and to explore Mathematics in a wider concept. At the end of Year 9 the National Curriculum Test grade, target grades and teacher assessment will be used to place students in the most suitable KS4 GCSE Mathematics set. There are two levels of entry for Mathematics GCSE: Higher offers grades D to A* and Foundation offers grades G to C. At KS4 students follow the OCR unitised modular course. Students prepare for three module examinations; two in year 10 and one in year 11 covering all possible grades for the tier of entry. The first two modules each make up 25%, whilst the third makes up 50% of the overall grade. From September 2012 Year 10 students will commence with the linear OCR course, whereby the whole of their GCSE grade will be assessed at the end of Year 11. For the top groups there is also the opportunity to take GCSE Statistics (AQA course) which involves one piece of controlled assessment and a terminal examination
Practical Problems In Mathematics For Health Occupationsractical Problems In Mathematics For Health Occupations This newly revised book provides a strong foundation in the essential math processes that are employed by health occupations workers in all areas of health care. Exercises are presented in a word problem format with concrete examples of how the math process is used in different health care careers. Problems start with simple examples and progress to complex paradigms that induce readers to tackle difficult situations. In addition to basic applications with whole numbers, fractions, and decimals, information is also featured on common graphs, charts, and gauges that are likely to be encountered in the health care field. This edition includes a large portion of coverage that is devoted to problems involving medications, intravenous solutions, and other emulsions
A powerful tool for building mathematical graphs. The perfect tool for students, teachers and anyone involved in math: - supports standard graphs in Cartesian coordinate system, parametric graphs, graphs in polar coordinates and parametric graphs in polar coordinates, point graphs; - simple and easy to use intuitive interface; - 46 mathematical functions, built-in constants; - any number of graphs on one screen; - save graphs as images with various options; - work in real time, gesture support, two virtual keyboard to choose, examples, help section, history, settings and more.
This book delivers a balance of theory and practice, and provides relevant, hands-on experience to develop your modeling skills. The book emphasizes key facets of modeling, including creative and empirical model construction, model analysis, and model research, and provides myriad opportunities for practice. The authors apply a six-step problem-solving process to enhance the problem-solving capabilities of readers of all levels. They first help readers learn how to identify problems, construct or select models, and figure out what data needs to be collected. By involving you in the mathematical process as early as possible—beginning with short projects—this text facilitates your progressive development and confidence in mathematics and modeling.
About this product Book Information Spectrum Algebra helps students apply essential math skills to everyday life The lessons strengthen math skills by focusing on factors and fractions, equalities and inequalities, functions, graphing, proportion, interest, and more The variety of activities also helps extend problem-solving and analytical abilities. Spectrum Algebra
0521457MP 11-16 Book G8 (School Mathematics Project 11-16) SMP 11-16 is a mathematics course for secondary schools which emphasises the relationship between mathematics and the world around us. The course materials fall into two parts. Part 1, covering the first two years, consists mainly of topic booklets arranged in strands, which enable pupils to work at their own pace. Part 2, covering the next three years, consists mainly of four inter-related series of books for class use: Y(yellow), R(red), B(blue) and G(green). This book forms part of the G(green) series, which is written for pupils of lower ability (apart from those with special learning difficulties). The new edition of Book G8 has been produced in response to the mathematics content of the National Curriculum (England and Wales).
Download Microsoft Mathematics (32-bit) Microsoft Mathematics (32-bit) is a window version 32bit tool used by students to do the mathematical operations quickly and easily. This help in solving and side by side understanding the solution step by step. It helps in understanding the fundamental concept of pre-algebra, trigometry, physic, chemistry. It looks like the hand used calculator due to well graphic support. It also gives additional features like unit conversion and solving the equations. It gives scope to solve problems in 2d and 3d scope. It does not require any specific requirement for installation in the system. Advanced version are being developed which have far better features.
with Boundary Value Problems Introductory Differential Equations with Boundary Value Problems is designed for a first semester course in introductory ordinary differential equations. The text is also appropriate for a second course that emphasizes boundary value problems. Print Book Key Features Technology Icons These icons highlight text that is intended to alert students that technology may be used intelligently to solve a problem, encouraging logical thinking and application Think About It Icons and Examples Examples that end in a question encourage students to think critically about what to do next, whether it is to use technology or focus on a graph to determine an outcome *Differential Equations at Work These are projects requiring students to think critically by having students answer questions based on different conditions, thus engaging students Description This text is for courses that are typically called (Introductory) Differential Equations, (Introductory) Partial Differential Equations, Applied Mathematics, Fourier Series and Boundary Value Problems. The text is appropriate for two semester courses: the first typically emphasizes ordinary differential equations and their applications while the second emphasizes special techniques (like Laplace transforms) and partial differential equations. The texts follows a "traditional" curriculum and takes the "traditional" (rather than "dynamical systems") approach. Introductory Differential Equations is a text that follows a traditional approach and is appropriate for a first course in ordinary differential equations (including Laplace transforms) and a second course in Fourier series and boundary value problems. Note that some schools might prefer to move the Laplace transform material to the second course, which is why we have placed the chapter on Laplace transforms in its location in the text. Ancillaries like Differential Equations with Mathematica and/or Differential Equations with Maple would be recommended and/or required ancillaries depending on the school, course, or instructor. Martha Abell Martha L. Abell and James P. Braselton are graduates of the Georgia Institute of Technology and the Ohio State University, respectively, and teach at Georgia Southern University, Statesboro where they have extensive experience in Mathematica-assisted instruction at both the undergraduate and graduate levels. Martha recently received Georgia Southern's award for 'excellence in research and/or creative scholarly activity.' In addition, they have given numerous presentations on Mathematica, throughout the United States and abroad. Other books by the authors include Differential Equations with Mathematica, Second Edition and Statistics with Mathematica. James Braselton Martha L. Abell and James P. Braselton are graduates of the Georgia Institute of Technology and the Ohio State University, respectively, and teach at Georgia Southern University, Statesboro. Martha recently received Georgia Southern's award for 'excellence in research and/or creative scholarly activity.' Both authors have extensive experience with using Mathematica as well as Mathematica-assisted instruction at both the undergraduate and graduate levels. In addition, they have given numerous presentations on Mathematica, throughout the United States and abroad. Other books by the authors include Differential Equations with Mathematica, Second Edition and Statistics with Mathematica.
Guys, I am in need of help on factoring, cramer's rule, inverse matrices and triangle similarity. Since I am a newbie to Remedial Algebra, I really want to understand the basics of Intermediate algebra completely. Can anyone recommend the best place from where I can begin learning the fundamental principles? I have an exam next week. Hi, Algebrator available at the site can be of great aid to you. I am a math tutor who give private math classes to students and I recommend Algebrator to my pupils since that aids them a lot when they sit to solve their homework by themselves at home. That's true, a good software can do miracles . I used a few but Algebrator is the best. It doesn't make a difference what class you are in, I myself used it in Basic Math and Algebra 1 too, so you don't have to worry that it's not on your level. If you never had a program before I can assure you it's not complicated, you don't need to know anything about the computer to use it. You just have to type in the keywords of the exercise, and then the software solves it step by step, so you get more than just the answer. I remember having difficulties with simplifying expressions, decimals and graphing lines. Algebrator is a really great piece of algebra software. I have used it through several algebra classes - Intermediate algebra, Algebra 2 and Algebra 2. I would simply type in the problem and by clicking on Solve, step by step solution would appear. The program is highly recommended.
innovative book, two experienced educators present a fresh and engaging approach to mathematics learning in the middle grades with the transition from arithmetic to algebra. The authors provide a collection of balanced, multi-dimensional assessment tasks designed to evaluate students' ability to work with mathematical objects and perform mathematical actions. Assisting teachers in their efforts to put into practice the NCTM and Common Core State Standards, these assessments were carefully developed and tested to make them as revealing and adaptable as possible, suitable for incorporation into any curriculum. Teachers will appreciate the explicit and illustrative material the authors include to specifically help assess the mathematical understanding of students in grades 58. The text features a teachers' guide to each task, reproducible student tasks, and solutions and rubrics.
You are here Math for Teachers: An Exploratory Approach Edition: 2 Publisher: Kendall Hunt Number of Pages: 645 Price: 0.00 ISBN: 9780757581069 At my current institution, "Mathematics for Elementary Teachers" is a one-semester course that meets for 6 hours per week, ostensibly divided into three hours of lecture and three of laboratory weekly. I have been teaching that course for many years — indeed, no one else currently in my department has taught it — and in that time, I have looked at many textbooks for that audience and that course. As is the case with many standard service courses, there seems to be considerable agreement on most of the topics to be covered, so I have developed my own core list of criteria for evaluating these books. First, I hope that a math-for-elementary-teachers textbook will be a resource for future teachers — something they can keep with them as they move out of my class and into their first teaching position. On that score, Stein and Wallace have written a fine text. The emphasis is on the mathematics, and while the students' goal to teach is not far from the surface, the content manages to dominate. Indeed, there is no laundry list of NCTM Standards to detract from the primacy of the mathematics. (I accept that others may regard this as a flaw.) I also hope that students will find the mathematics they will use as professionals in their textbook, and so I look carefully for a full section explaining the normal distribution and the mathematics behind percentiles, which teachers will need when trying to interpret their students' standardized test results. Unfortunately, no such section is present here, though there is a very brief mention of percentiles. While that is a flaw in my opinion, it's one that can be easily filled in by those who feel it's important. That, however, is the only concern I have about this book. The standard topics are all here and covered in an unusual level of detail — which is to be expected when the book includes more than a year's worth of material. A student armed with this book and with the experience of learning from it will be well-prepared, mathematically, for a career as an elementary school teacher. Mark Bollman (mbollman@albion.edu) is associate professor of mathematics at Albion College in Michigan. His mathematical interests include number theory, probability, and geometry. His claim to be the only Project NExT fellow (Forest dot, 2002) who has taught both English composition and organic chemistry to college students has not, to his knowledge, been successfully contradicted. If it ever is, he is sure that his experience teaching introductory geology will break the deadlock. Comments This book provides a wonderful range of topics across all grades. In addition to the content typically covered in an elementary and middle school mathematics class you can find star polygons, Fermat's last theorem, semi-regular tessellations, perspective drawings, line designs, box puzzles and many more. Many chapters also contain interesting historical connections or explorations. I like the balance between short descriptions and examples and the wealth of interesting explorations. In working with school teachers I often find it challenging to convey to them what I consider a "good problem" and how to find one. In my opinion a good problem motivates students to explore a mathematical question for which they want to know the solution without having to be told how to do it. Well, this book really provides a school teacher with many good problems to run or enrich a mathematics classroom. The material is challenging enough to cover part of high school mathematics as well. Having taught classes for future teachers and offered professional development for many years now, I strongly believe that it is necessary to focus on inquiry-based learning and teaching instead of a mostly lecture-centered classroom. It is very difficult for College students and school teachers to shift their beliefs towards teaching mathematics in an inquiry-based way - mostly because their own experiences in lecture based mathematics classrooms have left them to expect that a problem cannot be solved unless an expert first explains how to do it. For that reason I find it essential to use books like Robert Stein's that support the inquiry of mathematics. The focus of the book is clearly the mathematics (and not the methods of teaching it) but the book does provide much more: It covers in detail the different models for the operations, it repeatedly emphasizes the need to understand rather than memorize, and gives many helpful suggestions and connections for the use of the problems in a classroom. I highly recommend Robert Stein's book as a resource for content and methods classes for future teachers as well as a support for in service school teachers.
books.google.co.jp - Cont... Theory Number Theory, 第 1 巻 Cont sumsbull; zeta and L-functionsbull; uniform distributionbull; diophantine approximationbull; geometry of numbersbull; transcendental numbersbull; polynomialsbull; finite fieldsbull; algebraic number theorybull; arithmetic algebraic geometrybull; computational number theory.
Here are a bunch of programs that I've written. All of these are for the TI 83 series calculators, which means that they work for the TI 83 plus, TI 83 plus silver edition, TI84 plus, and TI 84 plus silver edition calculators. These are all written in the TI Basic language, on my TI 84 plus silver edition. To put these programs on your calculator, you need a TI graph link cable and the TI connect software that comes with the calculator. To get more detailed instructions, visit the TI website. There are several categories of programs - games, utilities, animations, and miscellaneous fun. To download the programs, click the blue names of the categories to download a zip file with all of those programs. Calculator Dance Party These are programs that make your calculator more useful. Some solve common equations or formulas and make it quicker for you to do simple mathematical functions, others help make the use of your calculator easier or better. Ambiguous Case This is a simple utility for solving the ambiguous case - a part of the pre-calculus curriculum where you determine the number of solutions a triangle could have based on one side and two angles. The ambiguous case involves comparing the sine of several numbers. This program just needs side A and angle a "little a" and angle b "little b" and it solves it for you. Chemistry Help This program is possibly the most useful one I've written. To find the conversion factor between one mole of a molecule and the number of grams, you have to multiply the atomic mass of each element by the number of that element and add those numbers to get the total. This program does that and then stores the result for X so that you can easily use it in a calculation. Chemistry Help 2 This program helps you finds the percent composition of a substance from the atomic mass and number of atoms of each element in a molecule. Chemistry Help 3 This program helps you find the molecular formula. It takes the atomic mass and number of atoms of each element in a compound, and then the molecular mass, and tells you the number you need to multiply the empirical formula by. Distance Formula This is a simple program that finds the distance between two points using the formula d = squareroot((x1-y1)squared + (x2-y2)squared). It saves a few keystrokes and helps if you forget the formula. Graph Edit This program allows you to set the window to one of several different preset views. The default view can be difficult to use because the pixels are irrational numbers, so this utility has views that make each pixel .25 or 1, making it much easier to find points on a line. Key Find This is mostly for writing other programs. It simply tells you the getkey value of the button you press. The getkey function is used for receiving input when writing programs. Quadratic Formula This is a simple utility to solve the quadratic formula. Simplify Squareroot This utility helps you simplify complex squareroots, or even roots to other powers, like cube roots. Stats This utility does some basic statistical functions like mean and standard deviation with the numbers in list 1. Stick Figure Dance Chuck This is one of several programs built along the same idea. Whenever you type something in, instead of getting the answer, you get something else. In this one whenever you hit "enter", the calculator says "Chuck Norris is watching you". IM Bored And so I was when I wrote this program. This simply makes a little asterisk bounce around the screen. Keypad Arrows This program simply makes an asterisk move around the screen. It is different from the many other programs that do this because it uses the keypad (numbers 8, 4, 6, 2) as arrows instead of the arrow keys. Move 0 Yep. It moves a 0 around the screen. This is a good program to learn to write if you are trying to learn to program calculators. Not Quite This change any answer by a random number between -3 and 3. So you cold type in 1+1 and get randomly -1, 0, 1, 2, 3, 4, or 5. Great for stumping friends. Wrong Answer Instead of giving you the answer the calculator says "Im not telling you". The purpose of these is to provide a basis for writing other programs. I keep these on my calculator so I can copy them into other programs to save me time writing them. To copy a program into another one, be in the program editing screen and then press [2nd] [RCL] (above the STO-> button) and hit the left arrow. Select a program and it will copy into the one you are currently editing. Basic Menu This is a 5 option dynamic menu written on the graph screen instead of using the default menu option. Direction Input This is an empty frame for programs where you are using the arrows to move something around the screen.
... Show More.* Engineering and Science Applications. Over 600 examples and problems representing a wide range of engineering and science applications, related to engineering disciplines ranging from mechanical, chemical, and electrical engineering to cutting-edge fields such as genetic, robotic and environmental engineering.* Five-Step Problem Solving Methodology. The five-step problem solving methodology is consistently used throughout this Edition. The five steps are:* State the problem clearly.* Describe the input and the output.* Work the problem by hand (or with a calculator) for a specific set of data.* Develop a solution that is general in nature.* Test the algorithm with a variety of data sets.* Engineering Case Studies. The application sections form a set of 30 engineering case studies. Each case study includes a detailed development of the problem's solution along with sample data to illustrate testing the algorithm.. Fortran 90 Coverage. Fortran 90 is discussed in detailed notes throughout the text and in a special chapter at the
Careers in Mathematics Through the study of mathematics, students develop their problem-solving and critical thinking skills. There are career opportunities in all sectors of business and industry for individuals trained in the mathematical sciences, which include computer science and statistics. A mathematics background is also excellent preparation for entry into several of the professions as well as for graduate work in many areas. Okay. So what can you do with a degree in mathematics? Actually, just about anything. No really, we mean it -- for pretty much any list you can make of aspects you'd like in a job (dress up? just jeans? work with people? work on your own? etc.), there's some mathematical career that's right for you. One of the reasons that mathematically-trained people are needed in almost every field is that we are known for our excellent problem-solving and critical thinking skills. Furthermore, according to the Jobs Rated Almanac by Les Krantz, many of the most desirable careers (see a cool summary and a long list and the 1999 top-ten lists) are technical in nature and require some expertise in the mathematical sciences. Career Opportunities Actuarial Mathematics The application of mathematics, particularly probability and statistics, to the insurance industry. For more info, check out Be An Actuary. Here is also an actuarial job search site and an actuarial info and jobs site. There's a local company which deals with worker's compensation (in fact, they do it for XU). Here's their home page. Some of their positions are actuarial in nature and require passing actuarial exams, but others require a strong math background and don't require actuarial exams. Biostatistics Computer Science A high level of mathematical ability and background is needed. Financial Mathematics (or Mathematical Finance) Mathematics used on Wall Street, for mortgage backing, financial derivatives, and stock market analysis. The U of Edinburgh has a good description of the field; here's a book list. The field is fairly new, and there are lots of professional master's programs springing up (see google and google). Law or Medicine A major in mathematics is a good preparation for law or medical school. Operations Research The application of mathematics to problems of optimization, especially in the field of business. For more info, check out the INFORMS Career Booklet on Is a Career in Operations Research/Management Science Right for You? Research Mathematics The study of mathematics for its own sake. Just about any mathematics faculty member will be more than happy to chat with you about this. As a career, this almost always requires graduate school; to investigate the possibilities, think about doing something during the summer. Statistics The study of methods for collecting, classifying, analyzing and making inferences from data. Technical Writing This includes everything from science reporting for periodicals to writing documentation for computer software to editing textbooks. For more info, check out Careers in Technical Writing. Here's a technical writing jobs site. Also check out this mini-biography of Allyn Jackson, who is a technical writer with the American Mathematical Society. (Not in the mini-bio: she's trained in modern dance as well...) What about Graduate School? Lots of opportunities are available to those with a bachelor's degree in mathematics. In some fields, such as biostatistics, financial mathematics, or operations research, a professional master's degree is preferred (or at least qualifies one for a higher salary). In research mathematics, a Ph.D. is required. Keep in mind: graduate school in the mathematical sciences is often free. Most Ph.D. programs in pure mathematics have financial support available in the form of tuition waivers plus a research stipend or a part-time teaching/grading job. This is also true for Ph.D. programs in statistics, applied mathematics, computer science, and operations research. Financial support for master's degrees varies wildly from field to field and sometimes from school to school; it's rarely available for pure mathematics, but is much more available for applied mathematics, statistics, financial mathematics, and biostatistics. The Xavier University Career Services Center assists students in their search for employment by offering individual career counseling sessions, by conducting an annual workshop series on interviewing and resume; writing techniques, and by maintaining a current educational, vocational and employer information resource center. Each year over 100 corporate representatives from national and local companies visit the Xavier campus and conduct over 1,000 interviews for full-time seniors and graduate students. Internship and part-time and summer job referral service is also a function of the office of career and leadership development.
Basic Math and Pre-Algebra For Dummies Tips for simplifying tricky operations Get the skills you need to solve problems and equations and be ready for algebra class Whether you're a student preparing to take algebra or a parent who wants to brush up on basic math, this fun, friendly guide has the tools you need to get in gear. From positive, negative, and whole numbers to fractions, decimals, and percents, you'll build necessary skills to tackle more advanced topics, such as imaginary numbers, variables, and algebraic equations. * Understand fractions, decimals, and percents * Unravel algebra word problems * Grasp prime numbers, factors, and multiples * Work with graphs and measures * Solve single and multiple variable equations Customer Reviews: Would not have passed without it!! By Donald R. Poling "natas09" - September 21, 2008 Amazing book! I HATED math in high school! When I found myself going to college at 35, the entrance exam with all the algebraic problems was all French to me...I took the Pre-Algebra prep course at the college but found the textbook to be overwhelmingly confusing. This book cured all that. The For Dummies series is one of the best inventions since the wheel and this volume helped me pass Pre-Algebra as well as showing me that math can actually be a better experience than going to the dentist. Not for the Kinesthetic learner / No practice problems in the book By Rita S "Rita S" - March 5, 2009 This book, while well written, is not adequate for someone like me who learns better from doing and practicing. I am going back to school after a 12 year sabbatical and was nervous about having to take a college math class. Math has always been my worst subject and the old saying, for me, is true. "If you don't use it, you lose it". I know how to add, subtract, multiply, divide, and figure up percentages. As for working fractions some of the facts have escaped me and I remember nothing of Algebra. So, I got this book to help me remember how to do it. This book gives you a brief explanation of how to do it, again very briefly, and then they jump to a new subject. No practice problems for you to try to work the problem yourself to make sure you understand. If I don't practice by doing the problem myself I'm going to forget how to do it. So, if you can do the math if someone just tells you how to do it, then you may like this book. If I wanted someone to rush through... read more So helpful!! By Jennifer C. Bledsoe "book lover" - January 18, 2008 I've been out of high school for almost 14 years and really need a refresher. These "dummies" books are great. The book explains math very well. A great help!
Get the correct answer quickly! With its ergonomic keyboard and displays, its ability to handle arbitrary combinations of units, and its seamless integration of real and imaginary numbers, the Numerari scientific calculator app sets new standards for ease of use, unit conversion, and complex number support. Designed for the iPad and iPad mini, the keyboard puts keys within easy reach and includes user-defined keys that you can customize with a simple drag and drop. With Numerari's popup unit keypads, you can assemble any arbitrary combination of units and convert them to any other consistent set of units---there are no limitations on what physical quantities can be converted. Units and constants can also be included in any of your calculations so that Numerari can check for unit consistency and even suggest appropriate units for the answer! The complex number capabilities are just as comprehensive. Any combination of rectangular or polar forms can be included in calculations, and the final answer can be instantly toggled between rectangular or polar form and between radians or degrees using our "last answer" keys. To help you get the correct answer: Calculations Are Clearly Formatted—The displays clearly format your calculations in two dimensions with practically textbook quality. When entering calculations, Numerari is unique in its ability to combine the ease of algebraic entry with the clear two-dimensional formatting so there is never any doubt about your expression's structure. Finally, there is built-in help to get you started quickly, and a variety of color themes to let you customize your Numerari. Calculations Are Clearly Formatted Correctness starts with clarity. As you enter a calculation, Numerari formats it so that the structure of your calculation is always clear. Powerful cursor controls and undo/redo keys make it simple to edit and to recover from mistakes. It's Easy to Add Units and Constants to Calculations and to Convert Units Numerari is the first calculator—app or handheld—that makes using units and constants so easy that they can be a routine part of your calculations. Adding units and constants to your calculations allows Numerari to check for unit consistency and catch possible errors. To add units and constants, there is no searching through deep menu hierarchies or trying to type names on a calculator keyboard. Numerari uses simple popup keypads that make all the common units and constants just one or two key taps away. You can also add metric prefixes and create arbitrary combinations of units. When you create a combination of units, Numerari lets you copy those units somewhere else with just a tap. If you will need that unit combination in the future, you can save it to a user-defined key. All this capability also makes Numerari a great unit converter. One Tap Copies an Answer or Expression from Your Calculation History Few calculations are done in isolation. You often pull in earlier results and slightly change or correct previous calculations. Anything you see in the history or build displays can be copied to the current cursor location with just a tap. For example, tap a number in your calculation history to copy it to the expression you are building. Tap units to copy them to another place where they are needed. Our intelligent copying algorithm automatically selects logical blocks of content. User-Defined Keys Reduce Key Taps Many calculators offer memory storage locations or variables to hold important values, but using this memory often requires sequences of key taps. For some systems, you need a good memory just to remember what was stored in which location. Numerari uses a simple but powerful approach with user-defined keys that show their content as their labels. With just a drag and drop, you can save any selectable part of an expression to a user-defined key, and then one tap of that key copies its content to the current cursor location. Advanced Functions Support a Wide Range of Applications In addition to the fundamental scientific functions on the main keyboard, the advanced functions keypad adds 42 more for math, science, and engineering. Complex Numbers Without the Complexity Complex numbers are fully integrated into Numerari's capabilities. You can easily enter complex numbers in rectangular or polar form, you can put units on complex numbers just like any other number, and you can tap a complex number to copy it and its units to the cursor. Dedicated keys select the default answer form (rectangular or polar) and the default angle measure (radians or degrees). The "last answer" keys let you quickly see a complex number in alternative forms. Archive History Images for Reference, Documents, and Sharing You can generate images of your calculation history with a variety of options. Crop your history by specifying how many of your calculations should be included and set the background color to the normal calculator color, to white, or to transparent (for mixing with other graphics). You can specify left or right alignment of your calculations, you can turn dividing lines on or off, and you can even turn off the display of unit conversion specifications to give your calculations a more standard appearance. The images can be emailed or viewed full-screen so they can be saved with a screen capture. Lots of Number Formatting Options If You Want Them The default number formatting mode has special features that make it very useable and perhaps the only mode you will ever need. If your answer is turning into just a string of insignificant leading zeros, the default mode automatically shows you more fractional digits. If a number gets too large or too small, the default mode switches to scientific notation (or engineering notation if you prefer). You may never want to change the settings, but if you are particular about number formatting, many options are available. Help Examples Show You the Fine Points Although most features are obvious from looking at the keyboard, the built-in help has examples and discussions that fill in details and show you how to get the most out of Numerari. Each help example has a contract button that you can tap to move the help to the top of the screen as shown below. Tap the button again to expand the help. Help Supplement The help key in Numerari displays examples for getting started along with discussions of some important details. It is probably best to review that information first. This section supplements the help with answers to additional questions. How do you pronounce Numerari and what does it mean? We pronounce it "New-mer-are-ee" and it is a form of the Latin verb numerare meaning "to count" or "number". Since counting is the foundation of calculating, we thought it would a make a good name for a new kind of calculator app. What is the maximum number of expressions that can appear in the history display? The history display saves up to 35 expressions. This conserves memory and keeps response time fast. If you want an old expression to stay in the history display, you can always tap the delete button on the left side of more recent history expressions to remove them and prevent the old expression from being pushed out of the history. Another way of preserving an expression or answer would be to save it to a user-defined key. Note that any size expression or answer can be saved to a user-defined key. Can I turn the keyboard click on and off? Open the iPad Settings app (not the settings inside of Numerari). Depending on your iOS version, the "Sounds" category will be visible at the top level or you may have to tap the "General" category first to see the "Sounds" category. In either case, when you tap "Sounds", you should see a switch called "Keyboard Clicks" that controls whether or not you want keyboards to make a clicking sound in your various iPad apps. Numerari follows this setting to turn its click sounds on or off. Depending on your iOS version, you may have to restart an app for changes in this setting to take effect. Can I leave the constant and unit keypads up while I work? You do not have to show and then hide these keypads every time you put in a constant or unit. If you want to, you can show them all the time and only hide them when you need to check the history. Can I do calculations without using units? Yes, you can take advantage of Numerari's ease of use, touchable history, user-defined keys, complex numbers, and many other features without using units. If you are not working with units but you still want to use our predefined constants, you should turn off the "Constants Include Units" switch in the settings. Normally, one of our constants represents a number along with its units and if the surrounding expression does not have units, Numerari might complain about the units being inconsistent. Turning the "Constants Include Units" switch off in the settings means that a constant will simply represent a number without any units. How does Numerari determine the units on my answer? Note first that you can always specify the units you want on your answer by ending your expression with the convert key and specifying the desired units. In this case, Numerari will check to make sure that the units you specified are consistent with the units of the expression and will then apply the proper scale factor to express the answer in those units. If you do not specify the units, Numerari internally simplifies the units in your expression and then attempts to choose reasonable units for the answer. Its goal is to use answer units that are as simple as possible, and it is often able to recognize when a single unit, such as J (joule) for energy or Pa (pascal) for pressure, is appropriate. However, there are cases when it is impossible for Numerari to always choose the desired units for the answer. For example, energy is usually specified in J (joule) and torque is usually specified in N-m (newton-meter). Unfortunately, both of these have the same dimensions and it is not possible to examine the expression and tell which of these the user wants on the answer. Since energy is much more common, Numerari chooses energy. If you were doing a lot of torque calculations, you could set up a user-defined key that specified a conversion to N-m and then just tap that key when you wanted the answer in units of N-m. The help in Numerari shows how to create user-defined keys. Why did I get a message about inconsistent units when I think my units are correct or I am not using units? Are you using our predefined constants? If so, check the "Constants Include Units" switch in the settings. If you like to use units in your expressions, this switch should be turned on so that a predefined constant represents a number along with its units. If you do not like to use units in your expressions, this switch should be turned off so that a predefined constant just represents a number. What is the difference between CLR and CLR ALL? CLR clears the build display but it can be undone if you change your mind. CLR ALL clears the build and history displays and cannot be undone. Note that CLR ALL does not clear the user-defined keys. To clear a user-defined key, touch and hold the key for several seconds until it clears. How does Numerari determine the matching of parentheses? Numerari uses an algorithm for matching parentheses that is more sophisticated than algorithms you might be familiar with from other software. Once a parenthesis finds a match, the two parentheses "lock" together and are treated as a matching pair (unless, of course, one of them is deleted). This is important for supporting the two-dimensional formatting of expressions. With a more primitive algorithm, entering a new parenthesis could suddenly cause a distant parenthesis to be unmatched and this could result in a disturbing "jerking" of the two-dimensional expression formatting. With our algorithm, the overall structure of the expression is more stable. When you enter a new parenthesis in the middle of an expression in which all parentheses are currently matched, the new parenthesis will not match one of the current parentheses—they are all locked into matching pairs. Instead, the new parenthesis will remain unmatched until you enter a matching parenthesis for it. Note that an unmatched parenthesis has a reddish color instead of black.
More About This Textbook Overview to help students reach different results. A variety of fundamental proofs demonstrate the basic steps in the construction of a proof and numerous examples illustrate the method and detail necessary to prove various kinds of theorems. Jumps right in with the needed vocabulary-gets students thinking like mathematicians from the beginning Offers a large variety of examples and problems with solutions for students to work through on their own Includes a collection of exercises without solutions to help instructors prepare assignments Editorial Reviews From the Publisher "I really enjoyed the "Collection of Proofs." It is a great addition. These exercises will really stretch a student's imagination, and go a long way to impressing on them the standards for a believable proof and the necessity of understanding a proposition before embarking on its proof (or the search for a counter-example). It should be clear that I find NBP an indispensable adjunct to my linear algebra course and to my efforts to increase my students' mathematical maturity. The new material only makes a great book even greater." Robert Beezer, University of Puget Sound. Meet the Author Antonella Cupillari is an associate professor of mathematics at Pennsylvania State Erie in Behrend College. She received her Laurea in Mathematics in Italy, and her M.A. and Ph.D. at the State University of New York at Albany. She has been a participant in the Mathematical Association of America/National Science Foundation Institute on the "History of Mathematics and Its Use in Teaching." Cupillari is the author of several papers in analysis, mathematics education, and the history of mathematics. She is also the author of the first edition of The Nuts and Bolts of Proof
Rent Textbook Buy New Textbook eTextbook 180 day subscription $92.39 Used Textbook We're Sorry Sold Out More New and Used from Private Sellers Starting at $105Normal 0 false false false KEY BENEFIT: Ratti and McWaters write at a level that professors want and in a way that will engage students. Included are relevant and interesting applications; clear, helpful examples; and lots and lots of exercisesall the tools that you and your students need to succeed. KEY TOPICS: Trigonometric Functions; Right Triangle Trigonometry; Radian Measure and Circular Functions; Graphs of the Circular Functions; Trigonometric Identities; Inverse Functions and Trigonometric Equations; Applications of Trigonometric Functions; Vectors; Polar Coordinates and Complex Numbers MARKET: For all readers interested in trigonometry. Author Biography J.S.Ratti has been teaching mathematics at all levels for over 35 years. He is currently a full professor of mathematics and director of the "Center for Mathematical Services" at the University of South Florida. Professor Ratti is the author of numerous research papers in analysis, graph theory, and probability. He has won several awards for excellence in undergraduate teaching at University of South Florida and known as the coauthor of a successful finite mathematics textbook. Marcus McWaters is currently the chair of the Mathematics Department at the University of South Florida, a position he has held for the last eight years. Since receiving his PhD in mathematics from the University of Florida, he has taught all levels of undergraduate and graduate courses, with class sizes ranging from 3 to 250. As chair, he has worked intensively to structure a course delivery system for lower level courses that would improve the low retention rate these courses experience across the country. When not involved with mathematics or administrative activity, he enjoys playing racquetball, spending time with his two daughters, and traveling the world with his wife.
Trigonometry, Books a la Carte Edition, 3rd Edition Description This edition features the exact same content as the traditional text in a convenient, three-hole- punched, loose-leaf version. Books à la Carte also offer a great value—this format costs significantly less than a new textbook. Dugopolski's Trigonometry, Third Edition gives readers the essential strategies to help them develop the comprehension and confidence they need to be successful in this course. Readers will find enough carefully placed learning aids and review tools to help them do the math without getting distracted from their objectives. Regardless of their goals beyond the course, all readers will benefit from Dugopolski's emphasis on problem solving and critical thinking, which is enhanced by the addition of nearly 1,000 exercises in this edition. Table of Contents P. Algebraic Prerequisites P.1 The Cartesian Coordinate System P.2 Functions P.3 Families of Functions, Transformations, and Symmetry P.4 Compositions and Inverses Chapter P Highlights Chapter P Review Exercises Chapter P Test 1. Angles and the Trigonometric Functions 1.1 Angles and Degree Measure 1.2 Radian Measure, Arc Length, and Area 1.3 Angular and Linear Velocity 1.4 The Trigonometric Functions 1.5 Right Triangle Trigonometry 1.6 The Fundamental Identity and Reference Angles Chapter 1 Highlights Chapter 1 Review Exercises Chapter 1 Test 2. Graphs of the Trigonometric Functions 2.1 The Unit Circle and Graphing 2.2 The General Sine Wave 2.3 Graphs of the Secant and Cosecant Functions 2.4 Graphs of the Tangent and Cotangent Functions 2.5 Combining Functions Chapter 2 Highlights Chapter 2 Review Exercises Chapter 2 Test Tying it all Together 3. Trigonometric Identities 3.1 Basic Identities 3.2 Verifying Identities 3.3 Sum and Difference Identities for Cosine 3.4 Sum and Difference Identities for Sine and Tangent 3.5 Double-Angle and Half-Angle Identities 3.6 Product and Sum Identities Chapter 3 Highlights Chapter 3 Review Exercises Chapter 3 Test Tying it all Together 4. Solving Conditional Trigonometric Equations 4.1 The Inverse Trigonometric Functions 4.2 Basic Sine, Cosine, and Tangent Equations 4.3 Multiple-Angle Equations 4.4 Trigonometric Equations of Quadratic Type Chapter 4 Highlights Chapter 4 Review Exercises Chapter 4 Test Tying it all Together 5. Applications of Trigonometry 5.1 The Law of Sines 5.2 The Law of Cosines 5.3 Area of a Triangle 5.4 Vectors 5.5 Applications of Vectors Chapter 5 Highlights Chapter 5 Review Exercises Chapter 5 Test Tying it all Together 6. Complex Numbers, Polar Coordinates, and Parametric Equations 6.1 Complex Numbers 6.2 Trigonometric Form of Complex Numbers 6.3 Powers and Roots of Complex Numbers 6.4 Polar Equations 6.5 Parametric Equations Chapter 6 Highlights Chapter 6 Review Exercises Chapter 6 Test Tying it all Together Appendix A: Solutions to Try This Exercise Appendix B: More Thinking Outside the Box Answers to All Exercises This title is also sold in the various packages listed below. Before purchasing one of these packages, speak with your professor about which one will help you be successful in your course.
Purpose: To introduce the learner to the behaviour and analysis of nonlinear systems, in particular nonlinear and forced oscillations. Solutions to linear differential equations can only behave in a fairly limited number of ways, but the presence of nonlinear elements may introduce totally new phenomena. Seemingly simple nonlinear differential equations can lead to unexpectedly complex solution structures. This module introduces analytical approximation methods as well as qualitative methods for analysing the behaviour of solutions to the nonlinear systems. Contents: Perturbation methods, forced oscillations, harmonic and subharmonic response, stability of periodic solutions, bifurcation, structural stability, chaos.
This book introduces a beginning graduate student in Mathematics to the essentials of measure theory. This theory extends the notion of the length of an interval to more general notions of the size... More > of a set. These ideas are then used to build abstract versions of integration theory. We discuss how to build many such measures, Lebesgue and Lebesgue-Stieljes Integration and include a lengthy treatment of classical Riemann and Riemann-Stieljes integration tools as these are covered very incompletely these days.< Less This book is the first volume of a comprehensive treatise on modern abstract measure theory. It covers the construction of Lebesgue measure, integration in general measure spaces and the basic... More > convergence theorems, with notes on further topics.< Less
Senoia TrigonometryWithout the ability to factor polynomials you will be unable to complete this course. Rational Expressions In this section we will define rational expressions and discuss adding, subtracting, multiplying and dividing them. Differential Equations, another Mathematics course, is a little unusual at first glance.
Simple calculator is a general purpose calculator which combines use simplicity and calculation power. It handles simple arithmetic operations and complex formulas. The Simple Calculator has three windows or boxes: Edit Window, Result Window, and History Window. In the Edit Window you enter formulas using buttons and keyboard. When you use a keyboard, you can use all standard rules of text editing. The most convenient is use of numerical pad on the right of standard keyboard. Buttons also provides full functionality of Simple Calculator. If you mistake in typing formula, like square root of a negative number, you just get a message in the Result Window that the formula is unclear. The Simple Calculator tries to handle all possible ambiguities, following the standard mathematical rules. For example, formula 3/-4 - 5^2 will be treated as 3/(-4) - (5^2) . If you want to be completely sure in the result, use parentheses. window. If you forget to enter x, then the x=1 will be assumed. If you forget to enter f(x), then f(x)=x will beGraphing Calculator 2D has two panels. The Left Panel has the Magnifying Square represented by Small Square with gray border on the Left Panel. It is 16 times smaller than the Left Panel. The Right Panel shows content of the Magnifying Square magnified 16 times. You can press button "zoom +". Then the Left and Right Panels will be zoomed twice each. Maximum zoom is 8 (tree clicks of "zoom +"). After that you can click "zoom -". Clicking button "C" (for Center) on Zoom returns picture to starting position with no zoom and Magnifying Square at the center of Left Panel. When Panels are zoomed you can move Left Panel in horizontal direction along with imaginary zoomed graph by group of buttons "Navigate left window". Anytime you can move Left Panel in vertical direction. A group of buttons "Navigate right window" represents buttons by which you can move the Magnifying Square on the Left Panel. Button "C" returns Magnifying Square to the center of Left Panel. For fast movement of Magnifying Square click on the Left Panel at point where you want to place Magnifying Square. Clicking inside Right Panel gives x and y coordinates of click point. The greater is zooming, the more precise are the coordinates. Current menu: Graphing Calculator 2D Graphing Calculator in Vista Graphing Calculator in Windows XP Graphing Calculator in white palette suitable for printing Insertion of graph into Microsoft Word page Advanced Calculator Advanced Calculator in Vista Advanced Calculator in Windows XP Simple Calculator Simple Calculator in Vista Simple Calculator in Windows XP Hardware requirements for Math Center Level 1 are low. The main requirement for Graphing Calculator 2D is a monitor of minimal size 1024 x 768 pixels. The program was successfully tested on ten year old computers with Windows XP.
Algebra From Uncyclopedia, the content-free encyclopedia Alegebra, an academic subject (Yes, it is spelled incorrectly; this is because it was written by a second-year Algebra student.) This is a disambiguation page - words should always mean more than one thing, and we're working hard to ensure that each word you look up refers to at least two completely unrelated articles. If an article link referred you here, you should make it to point directly to the article where you think the confused link-maker thought it would point, or go nuts and pick one at random. Just make sure it doesn't point here.
Your Toolbox There are several starting points in the department curriculum. Most students start in the calculus sequence, in discrete math, in a statistics course, or in a computer science course. If you want calculus, or statistics, you need to enroll in the correct one, based on your prior experience with math and on your academic and career goals. Below you will find answers to the questions "Which Calculus Course Should You Take?" and "Which Stats Course Should You Take?" and "Which CS Course Should You Take?" followed by descriptions of our introductory courses, their prerequisites, and advice for what to do after each. Which Calculus Class Should You Take? Math 135, Applied Calculus, is Macalester's introductory calculus course designed specifically for students in the biological and social sciences. It also serves as an introduction to calculus for students heading into the physical or mathematical sciences. This course looks and feels very different from the traditional approach to calculus. It gives students the skills needed to begin applying calculus to problems in the sciences. It also prepares students for Math 155, Introduction to Statistical Modeling. Math 135 includes topics such as functions of multiple variables, models of dynamical systems, and the geometry of high-dimensional spaces. It is appropriate both for students who have never seen calculus and for those who have but would like to gain more insight into how it is used. Students who have studied calculus in high school can take Math 135, Applied Calculus, or Math 137, Single Variable Calculus, or, if they are ready, Math 237, Multivariable Calculus. In Math 137, Single Variable Calculus, students learn the tools of calculus that will be needed for success in Multivariable Calculus, Differential Equations, and other analysis-based courses. This course is required for students who will study physics or chemistry beyond the introductory courses. Students who enter Macalester with an Advanced Placement BC-Calculus score of 3 or higher or an IB score of 6 or higher have many options for their first mathematics course. If they wish to take a calculus course, they are encouraged to take Math 237, Multivariable Calculus. Which Stats Class Should You Take? Math 155 is our introductory statistics course. It is required for the Math major, the AMS major, the Statistics minor, and other majors on campus (including Biology and Economics). Math 155 is a course unique to Macalester; the emphasis is on multivariate modeling. Math 155 cannot be replaced by AP Statistics credits. Which CS Class Should You Take? Students seeking an introductory computer science course typically choose among four options: Comp 120, 121, 123, or 124. The first three courses are suitable for students with little or no background in computing, programming, or computer science. All three function as both the first course in the major and minor as well as an introduction to the discipline for those not planning to take further coursework. Students who have significant prior experience of computer science may choose to enroll in Comp 124. Intro Math and Stats Course Descriptions Math 135 Applied Calculus Topics: Mathematical functions of one and two variables as models; rates of change and derivatives; optimization; introduction to differential equations; introduction to linear algebra. Prerequisites: none. Counts toward: Science Division requirement. What to take next: Math 155 is for students whose primary interest is not mathematics, and who have a statistics requirement to fulfill and/or a desire to learn statistics anyway. Math 137 is for students wishing to continue their calculus education, likely for a math or physics major (but not exclusively). Math 237 is for students who are continuing with their calculus education and who did very well in Math 135 and have had integration before. Math 136 is for students with a primary interest in math who want exposure to different type of mathematics involving rigorous mathematical proof. Math 137 Single Variable Calculus Topics: Calculus of functions of a single variable for students who have already had at least a semester of high school calculus (otherwise, you are advised to begin with Math 135); review of differentiation in the context of an introduction to the exponential and logarithmic functions; chain rule; exponential growth and basic differential equations; limit definition of the derivative and the integral; Riemann sums and numeric integration; substitution and integration by parts; applications of integration; improper integrals, geometric series, Taylor polynomials. Prerequisites: At least one semester of high school calculus (Math AB with score of 3, 4, or 5 or Math IB with score of 5) or Math 135. Counts toward: Science Division Requirement What to take next: Math 237, Math 236, or Math 136. Math 155 Statistical Modeling Topics: An introductory statistics course with an emphasis on multivariate modeling. Topics include descriptive statistics, experiment and study design, probability, hypothesis testing, multivariate regression, single and multi-way analysis of variance, logistic regression. Prerequisites: Mathematics 135 or Mathematics 137 or Mathematics 236 or Mathematics 237 or permission of instructor. Required for: Math Major What to take next: If you are interested in more statistics, take Math 253, Applied Multivariate Statistics. Math 237 Multivariable Calculus Topics: Integration and differentiation of functions of 2 or more variables; applications including optimization and Lagrange multipliers; vector fields, contours, and gradients; parametric equations; line and surface integrals, Green's theorem. Prerequisites: Math 137 or Math BC with score of 3, 4, 5 or Math IB with score of 6 or 7. Required for: Math Major, AMS Major. What to take next: Math 236 Linear Algebra, Math 136 Discrete Math, a 300 level math class. It does not matter which you take first, Math 236 or Math 237. They can also be taken concurrently. Intro CS Course Descriptions COMP 120 Computing and Society Topics: A topics course that introduces students to the field of computing by way of a central theme. Topics vary; offerings include Internet Communities, Robots in the World, and Web Development. Full description given in advance of registration. This course is suitable for students with little or no experience with computing, but it can serve as a starting point for the Computer Science major. COMP 121 Introduction to Scientific Programming Topics: Focuses on the applications of computing in the physical sciences, natural sciences, and other fields such as economics and geography. This would be an ideal first course for students majoring in a scientific or quantitative area. It is also appropriate for potential computer science students who would like their first course to be an introduction to a scientifically-oriented language such as MatLab and its use in solving a range of interesting scientific problems. Prerequisites: none. Counts toward: Math Major, CS Major, Science Division requirement. What to take next: Comp 124 COMP 123 Core Concepts in Computer Science Topics: Recommended for those who think they may be computer science majors or minors. Comp 123 investigates key ideas that underlie computer science, in the context of multimedia (image, sound, and text) processing and programming robots. Central concepts include the design of algorithms, and the representation of data within a computer.
Mathematics The basic beginning college math sequences at the UW are MATH 111, 112 and MATH 120, 124. To register for either MATH 111 or 120 you must either pass a placement test or complete the noncredit algebra review course, MATH 098. All the math courses required by UW majors, except the non-credit review course MATH 098, require either a prerequisite college math course or a passing score on a math placement test. MATH 098 MATH 098, Intermediate Algebra, is a non-credit algebra review course. It's equivalent to the second year of high school algebra. MATH 098 isn't covered by your regular tuition; it requires a separate fee of about $405. For students taking the placement exam for the UW, approximately one quarter place into MATH 098. Most students who place into MATH 098 are understandably unhappy about having to start with a non-credit review course that, insult added to injury, even costs extra money. Many students retake the placement test, attempting to place higher. (There are restrictions on how many times and when you can retest. See the placement test page for more information.) While you may wish to do this, it's usually a better idea to take MATH 098 and get a solid review of algebra. Most students find UW math courses to be much more challenging than high school math. In particular, the functions you were allowed to complete on a calculator in high school you'll be expected to understand and be able to do yourself in college math courses. Although you receive no credit for MATH 098, resist the temptation to add an extra course to your schedule to "make up" the credit. MATH 098 will take at least as much of your time as any 5-credit course, and it does count as 5 credits toward the minimum 12 credits/quarter required by financial aid (be sure to alert the Office of Student Financial Aid) MATH 111, 112 The MATH 111, 112 pathway is taken mainly by pre-business students. It's a "terminal" sequence, meaning that it doesn't lead into higher-level math courses. The MATH 111, 112 sequence is accepted by UW programs that require only one quarter of calculus, including business, the economics B.A., and microbiology. If your math placement test score is high enough, you can skip MATH 098 and start with MATH 111. You can't skip MATH 111 — you must take MATH 111 before MATH 112. MATH 120, 124 The MATH 120, 124 pathway is taken mainly by students interested in science and engineering majors, and students preparing for professional programs such as medical, dental, or veterinary school. MATH 124 is the first quarter of a year of calculus: MATH 124, 125, 126. If your math placement test score is high enough, you can skip MATH 098 and start with MATH 120, or skip MATH 120 and start with MATH 124. If you are considering some majors that require MATH 124 and other majors that accept MATH 112, you should take MATH 124. Some science majors require only one or two quarters of calculus; if you're planning on a science major but haven't decided which one yet, we recommend that you complete the whole year of calculus. This keeps all your options open. UW offers several options to the MATH 124 sequence. See calculus options, below. Crossing Between Pathways You can't cross over between sequences. MATH 111 can't be used as a prerequisite to MATH 120 or 124, and MATH 120 can't be used as a prerequisite to MATH 112. Calculus Options MATH 124, 125, 126 is one of four different calculus sequences offered by the UW. All require at least MATH 120 or a passing placement test score. All majors that require MATH 124, 125, 126 (or any part of the sequence) will also accept the MATH 124H and MATH 134H sequences. Check the requirements of the majors you are considering to see if the Q SCI 291 sequence would be a good option for you. MATH 124, 125, 126 - Calculus with Analytic Geometry An introduction to single- and multivariable calculus, with emphasis on modeling and word problems. Recommended for students interested in engineering, computer science, physical science, and biological science majors. More information is available at the math department's home page. Q SCI 291, 292, 293 - Analysis for Biologists Introductory calculus sequence with an emphasis on biological problems, particularly in ecology. Recommended for biological science majors, particularly programs in Forest Resources and Fisheries. More information is available from the Center for Quantitative Science. MATH 124H, 125H, 126H - Calculus with Analytic Geometry (Honors) A parallel sequence to MATH 124/5/6, but with less emphasis on modeling and more emphasis on mathematical technique. Recommended for students interested in math-intensive disciplines such as math, engineering, and sciences. More information is available at the math department's home page. Entry code required; contact the mathematics adviser (advising@math.washington.edu). MATH 124H is offered in autumn quarter only. MATH 134H, 135H, 136H - Accelerated (Honors) Calculus Appropriate for students with strong enthusiasm and talent for mathematics. More information is available at the math department's home page. Admission by special permission only; contact the mathematics adviser (advising@math.washington.edu). MATH 134H is offered in autumn quarter only. Prerequisites There are two special points about math prerequisites: Not only must you take the prerequisite course, but you must achieve a minimum grade. This grade, usually 2.0 or 2.5, is indicated in the Course Descriptions. Because you register for next quarter before you've finished this quarter's classes, you're allowed to register for the next course in the sequence while you have the prerequisite in progress. If you don't complete the prerequisite with the required grade, however, your registration in the next course will be cancelled. Example: You must achieve at least a 2.5 grade in MATH 120 to continue on to MATH 124. If you register to take MATH 120 in autumn quarter you'll be allowed to register for MATH 124 for winter quarter, but if you receive a grade of 2.1 in MATH 120 your registration in MATH 124 will be cancelled and you'll be removed from the course. You must repeat MATH 120 and earn a higher grade (or pass the placement test, see below) to qualify to take MATH 124 in a later quarter. Placement Tests You must have a passing score on a math placement test, or college credit for the prerequisite math course, to register for any UW math course numbered 111 or above. For more information, see our page on placement tests. AP and IB scores Your score on the College Board Advanced Placement Calculus exam can be used instead of a placement test to determine your math level. In fact, AP scores are the only way to qualify to start with the second or third college quarter of calculus; UW placement tests do not place students any higher than MATH 124. See our AP tables for the chart of credit awards and placement for the Calculus AB and Calculus BC exams
Rent Textbook Buy Used Textbook Buy New Textbook Currently Available, Usually Ships in 24-48 Hours $33.47 eTextbook We're Sorry Not AvailableStrategies for Successprovides a series of study skills activities designed to help you succeed in college mathematics. These proven, class-tested activitieshave been developed over many semesters from the authors' firsthand experience with their own students. This workbook contains 34 activities, in ready-to-use worksheet format. The activities can be used in several ways-individual work, group work, or large group discussion. Some of the topics covered include Notebook Preparation, Reading a Math Textbook, Successful Student Behavior, Time Management, Test Preparation Skills, Study Group Ideas, and much more. Author Biography Lynn Marecek and MaryAnne Anthony-Smith are Professors of Mathematics at Santa Ana College in Santa Ana, California. They have worked together on many projects focused on improving student learning in the developmental mathematics courses. Lynn and MaryAnne believe teachers of developmental mathematics should proactively assist their students in improving their study skills. To this end, they created study skills activities,Strategies for Success. The authors actively participate in the AMATYC, CMC³, ICTCM, and NCTM conferences. They have also given workshops on implementing Strategies for Success at many colleges.
The Simpsons and Their Mathematical Secrets by Simon Singh Publisher Comments You may have watched hundreds of episodes of The Simpsons (and its sister show Futurama) without ever realizing that cleverly embedded in many plots are subtle references to mathematics, ranging from well-known equations to cutting-edge theorems and... (read more) Math in 100 Key Breakthroughs by Richard Elwes Publisher Comments Math in 100 Key Breakthroughs presents a series of essays explaining the fundamentals of the most exciting and important mathematical concepts everyone should know. Professor Richard Elwes profiles the most important, groundbreaking, and astonishing... (read more) Math for Life by Jeffrey Bennett Publisher Comments... (read more) The Joy of X: A Guided Tour of Math, from One to Infinity by Steven Strogatz Publisher Comments "Delightful . . . easily digestible chapters include plenty of helpful examples and illustrations. You'll never forget the Pythagorean theorem again!"—Scientific American Many people take math in high school and promptly forget much of it.... (read more) Practical Statistics: A Handbook for Business Projects by John Buglear Publisher Comments Statistics is the most widely used quantitative method in business. It is concerned with extracting the best possible information from data in order to aid decision making. Practical Statistics is a clear and concise introduction to business statistics... (read more) Oxford Figures: Eight Centuries of the Mathematical Sciences by John Fauvel Publisher Comments This is the story of the intellectual and social life of a community, and of its interactions with the wider world. For eight centuries mathematics has been researched and studied at Oxford, and the subject and its teaching have undergone profound... (read more) Business Statistics for Dummies by Alan Anderson, Ph.d. Publisher Comments Learn to:Grasp the core concepts and principles of business statisticsMake sense of problems and processes common to the world of global business and economicsScore your highest in your business statistics course Make sound business decisions and produce... (read more) Business Statistics: For Contemporary Decision Making by Ken Black Publisher Comments Business Statistics: For Contemporary Decision Making, 8th Edition continues the tradition of presenting and explaining the wonders of business statistics through the use of clear, complete, student-friendly pedagogy. Ken Black's text equips readers with... (read more) Statistics by Robert S. Witte Publisher Comments Drawing upon over 40 years of experience, the authors of Statistics, 10th Edition provide business professionals with a clear and methodical approach to essential statistical procedures. The text clearly explains the basic concepts and... (read more) In Pursuit of the Unknown: 17 Equations That Changed the World by Ian Stewart Publisher Comments Most people are familiar with historys great equations: Newtons Law of Gravity, for instance, or Einsteins theory of relativity. But the way these mathematical breakthroughs have contributed to human progress is seldom appreciated. In In Pursuit of the... (read more) Applied Calculus by Deborah Hughes-hallett Publisher Comments The 5th Edition of Applied Calculus continues to exhibit the same strengths from earlier editions including a focus on creative conceptual and modeling problems and the "Rule of Four", an emphasis on concepts and modeling, exposition that teaches a... (read more) Decision Analytics: Microsoft Excel by Conrad Carlberg Publisher Comments Crunch Big Data to optimize marketing and more! Overwhelmed by all the Big Data now available to you? Not sure what questions to ask or how to ask them? Using Microsoft Excel and proven decision analytics techniques, you can distill all that data... (read more) Probability: With Applications and R by Robert P. Dobrow Publisher Comments An introduction to probability at the undergraduate level Chance and randomness are encountered on a daily basis. Authored by a highly qualified professor in the field, Probability: With Applications and R delves into the theories and applications... (read more) Handbook of Probability (Wiley Handbooks in Applied Statistics) by Ionut Florescu Publisher Comments The complete collection necessary for A CONCRETE understanding of probability Written in a clear, accessible, and comprehensive manner, the Handbook of Probability presents the fundamentals of probability with an emphasis on the balance of theory
From the Publisher: Discrete Mathematics combines a balance of theory and applications with mathematical rigor and an accessible writing style. The author uses a range of examples to teach core concepts, while corresponding exercises allow students to apply what they learn. Throughout the text, engaging anecdotes and topics of interest inform as well as motivate learners. The text is ideal for one- or two-semester courses and for students who are typically mathematics, mathematics education, or computer science majors. Part I teaches student how to write proofs; Part II focuses on computation and problem solving. The second half of the book may also be suitable for introductory courses in combinatorics and graph theory. Description: Far more "user friendly" than the vast majority of similar books, this volume is truly written with the unsophisticated reader in mind. The pace is leisurely, but the authors are rigorous and maintain a serious attitude towards theorem proving ... Description: Aimed at undergraduate mathematics and computer science students, this book is an excellent introduction to a lot of problems of discrete mathematics. It discusses a number of selected results and methods, mostly from areas of combinatorics and graph theory, ...
Web Codes Algebra Readiness Algebra Readiness is designed for the middle school learner and provides a smooth transition from Course 1 and Course 2 Math. Students of all levels benefit from the structured leveled set of exercises in the homework sections. First, students practice by example. Next, they apply the skills they have learned, and finally, students are challenged with problems that require them to apply concepts on an accelerated level. The Go For Help icon refers students back to examples for help on similar problems previously introduced in the chapter. Topics covered include algebraic expressions and integers, solving one-step equations and inequalities, area and volume, and linear functions. The Manipulatives Kit allows students to explore concepts in a hands-on way using a variety of measurement, geometry, algebra, and probability tools. The kit is designed for a class of 30 students. Designed for use with overhead projectors, this kit helps you demonstrate concepts in a using probability tools, including algebra tiles, tangrams, a geoboard with rubber bands, a spinner, and pattern blocks.
Another major theme in Algebra II is groups of equations, all rolled into one. This might seem complicated at first, but there are ways to organize the chaos. One way is using matrices. Yes—the singular is matrix. And yes—we are in it. In addition to matrix notation, we will also introduce the concept of series and sequences. This section might go on…and on…and on…but it's another helpful way to keep track of lots of numbers and equations.
Mathematical Excursions - 3rd edition Summary: MATHEMATICAL EXCURSIONS, Third Edition, teaches students that mathematics is a system of knowing and understanding our surroundings. For example, sending information across the Internet is better understood when one understands prime numbers; the perils of radioactive waste take on new meaning when one understands exponential functions; and the efficiency of the flow of traffic through an intersection is more interesting after seeing the system of traffic lights represented in a math...show moreematical form. Students will learn those facets of mathematics that strengthen their quantitative understanding and expand the way they know, perceive, and comprehend their world. We hope you enjoy the journey168179.64 +$3.99 s/h VeryGood SellBackYourBook Aurora, IL 1111578494 Item in very good condition and at a great price! Textbooks may not include supplemental items i.e. CDs, access codes etc... All day low prices, buy from us sell to us we do it all!! $216.57 +$3.99 s/h Good Facetextbooks Pittsburg, KS Hardcover 3rd Edition text. Hardcover. CLEAN INSIDE Book is in good condition. tape on cover, curved edges. Used items may have stickers on the cover and may have varying degrees of wear. Orders s...show morehip same day or next day. Orders placed on Saturday will ship on the following Monday.. Ships fast. Expedited shipping 2-4 business days; Standard shipping 7-14 business days. Ships from USA! ...show less $233.45
What Do Parents Say? I LOVE Time4Learning! It holds the attention of my kids, plus I can keep track of their learning without hovering over their shoulders.Online Algebra Lessons Scope & Sequence of Activities Time4Learning's integrated algebra curriculum combines pre-algebra & algebra into one course that allows students to start the sequence at many different entry points, to progress at their own pace, and to move ahead or back up at any time. Algebra is available by request at no additional cost. Time4Learning's online algebra program combines engaging lessons in a logical sequence to build a sound foundation for algebra. Each unit begins with multimedia lessons followed by interactive practice exercises. Printable worksheets offer additional practice and online assessments are available to parents in order to track progress. For more information, view the algebra overview or learn how Time4Learning can help to conquer math anxiety. Time4Learning's educational content is provided primarily by CompassLearning Odyssey®. Math - Algebra Lesson Plans Total Activities: 313 Non-Scored Scored Worksheet Answer Key Quiz Test Chapter 1: "Algebra Tool Tutorials" Lesson Activity Name Type LA# Worksheet Odyssey Writer Algebra Tool Tutorials: Algebra Balance Tutorial AL178 Algebra Tiles Tutorial AL179 Calculator Tutorial AL180 Equation Writer Tutorial AL181 Grapher Tutorial AL182 Test Chapter 2: "Arithmetic with Letters" Lesson Activity Name Type LA# Worksheet Odyssey Writer Arithmetic and Algebra: This lesson introduces true, false, and open statements. Range, Mean, Median, and Mode: This lesson defines range, mean, median, and mode and explains how to calculate each for a given set of data. Range, Mean, Median, and Mode AL068 Lesson Quiz: Range, Mean, Median, and Mode Box-and-Whiskers Plot: This lesson explains how to construct a box-and-whiskers plot to illustrate the concentration and spread of data in a set Box-and-Whiskers Plot AL069 Lesson Quiz: Box-and-Whiskers Plot The Probability Fraction: This lesson explains probability and how to calculate it. The Probability Fraction AL070 Lesson Quiz: The Probability Fraction Probability and Complementary Events: This lesson explains how to classify probabilities as not likely or very likely, more likely or less likely. It then shows how to determine the complement of a probability event. Probability and Complementary Events AL071 Lesson Quiz: Probability and Complementary Events Tree Diagrams and Sample Spaces: This lesson models the use of a tree diagram to show possible combinations in a sample space. Tree Diagrams and Sample Spaces AL072 Lesson Quiz: Tree Diagrams and Sample Spaces Dependent and Independent Events: This lesson explains how to determine the probability of events that are dependent or independent of one another. Dependent and Independent Events AL073 Lesson Quiz: Dependent and Independent Events The Fundamental Principle of Counting: This lesson explains how to use the fundamental principle of counting to find the number of possible outcomes. The Fundamental Principle of Counting AL074 Lesson Quiz: The Fundamental Principle of Counting Application: Multistage Experiments: This lesson illustrates an application of calculating probability for experiments with multiple stages. Powers and Roots: Calculator: Explore powers and roots using a calculator Powers and Roots: Calculator AL172 Odyssey Writer: Powers and Roots: Calculator AL173 Chapter Test: Irrational Numbers and Radical Expressions: Test Chapter 14: "Geometry" Lesson Activity Name Type LA# Worksheet Odyssey Writer Angle and Angle Measure: This lesson defines types of angles and line segments and demonstrates computation of angle measures. Angle and Angle Measure AL118 Lesson Quiz: Angle and Angle Measure Pairs of Lines in Plane and in Space: This lesson contrasts relationships of pairs of lines in a plane and in space and explains the relationships among angles formed in a plane. Pairs of Lines in Plane and in Space AL119 Lesson Quiz: Pairs of Lines in Plane and in Space Angle Measures in a Triangle: This lesson demonstrates the proofs of the theorems that the sum of the measures of the angles of any triangle is 180 degrees and the measure of an exterior angle of a triangle is equal to the sum of the measures of the two nonadjacent interior angles. Angle Measures in a Triangle AL120 Lesson Quiz: Angle Measures in a Triangle Naming Triangles: This lesson classifies triangles by their angles and by their sides. Naming Triangles AL121 Lesson Quiz: Naming Triangles Quadrilaterals: This lesson presents five types of quadrilaterals and the measurement of their angles. Quadrilaterals AL122 Lesson Quiz: Quadrilaterals Congruent and Similar Triangles: This lesson introduces congruent and similar triangles and the theorems that prove congruence. Congruent and Similar Triangles AL123 Lesson Quiz: Congruent and Similar Triangles Trigonometric Ratios: This lesson explains trigonometric ratios and the formulas for calculating sine, cosine, and tangent. Trigonometric Ratios AL124 Lesson Quiz: Trigonometric Ratios Application: Using Geometric Shapes: This application explores the number of diagonals that can exist in a geometric shape, as a predictable pattern, related to the number of sides. Sign up for Time4Learning and gain access to a variety of educational materials, which will engage and challenge your child to succeed. Make Time4Learning a part of your children's homeschool resources.
Believe me, it's sometimes quite hard to learn a topic alone because of its difficulty just like how to solve cubes on a ti-30x iis. It's sometimes better to request someone to explain the details rather than knowing the topic on your own. In that way, you can understand it very well because the topic can be explained clearly. Luckily, I found this new software that could help in solving problems in algebra. It's a not costly fast convenient way of learning math concepts. Try using Algebrator and I assure you that you'll have no trouble solving math problems anymore. It displays all the pertinent solutions for a problem. You'll have a good time learning math because it's user-friendly. Try it. Algebrator is one beneficial tool. I don't have much interest in math and have found it to be complicated all my life. Yet one cannot always leave math because it sometimes becomes a compulsory part of one's course work. My younger brother is a math expert and I found this program in his palmtop. It was only then I understood why he finds this subject to be so easy. I am so reassured to hear that there is hope for me. Thanks a lot. Why did I not think about this? I would like to start on this without any further delay. How can I get hold of this program? Kindly give me the particulars of where and how I can get this program.
Addition Facts is designed to help elementary students develop basic arithmetic skills. The product includes Addition Flash Cards to help encourage recognition and recall of addition facts. When us...gebra Concepts is a tool for introducing many of the difficult concepts that are necessary for success in higher level math courses. This program includes a special feature, the Algebra Tool Kit, wh... More: lessons, discussions, ratings, reviews,... Algebra Concepts is an interactive learning system designed to provide instruction in mathematics at the 7th grade enrichment through adult levels. The instructional goals for Algebra Concepts include... More: lessons, discussions, ratings, reviews,... An algebra practice program for anyone working on simplifying expressions and solving equations. Create your own sets of problems to work through in the equation editor, and have them appear on all of
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Applications of Algebra and Geometry to the Craft of Teaching: How do you generate Pythagorean triples? Scalene triangles with integer side-lengths and a 60-degree angle? Cubic polynomials with integer zeros and extreme points? Triangles on the Cartesian plane whose vertices have integer coordinates and whose side lengths are integers? A mathematical analysis of how to design problems that "come out nice" leads to investigations into foundational ideas from number theory, algebraic geometry, and analytic geometry. We'll use this theme as a springboard into investigations of the structure of different algebraic systems and geometric curves. This applied mathematics - choosing and designing tasks - is mathematics applied to the work teachers do
This text, which takes a unit circle approach to trigonometry, has been written to maximize student comprehension. Emphasis is on computational skills, ideas, and problem solving, rather than mathematical theory. Most derivations and proofs are omitted except where their inclusion adds significant insight into a particular concept. One of the primary objectives of this book is to give the student substantial experience in modeling and solving real-world problems. For more information about Precalculus: Functions and Graphs, click on mhhe.com/barnett
Multiplication with Exponents Division with Exponents Operations with Monomials Addition and Subtraction of Polynomials Multiplication with Polynomials Binomial Squares and Other Special Products Dividing a Polynomial by a Monomial Dividing a Polynomial by a Polynomial Summary Review Cumulative Review Test Projects 5. FACTORING The Greatest Common Factor and Factoring by Grouping Factoring Trinomials More Trinomials to Factor The Difference of Two Squares Factoring: A General Review Solving Equations by Factoring Applications Summary Review Cumulative Review Test Projects Review of Solving Equations Equations with Absolute Value Compound Inequalities and Interval Notation Inequalities Involving Absolute Value Factoring the Sum and Difference of Two Cubes Review of Systems of Equations in Two Variables Systems of Equations in Three Variables Summary Review Cumulative Review Test Projects 8. EQUATIONS AND INEQUALITIES IN TWO VARIABLES The Slope of a Line The Equation of a Line Linear Inequalities in Two Variables Introduction to Functions Function Notation Algebra with Functions Variation Summary Review Cumulative Review Test Projects53 +$3.99 s/h Good One Stop Text Books Store Sherman Oaks, CA 2003-02-26 Paperback Good $30.95 +$3.99 s/h Good Books Revisited Chatham, NJ Possible retired library copy, some have markings or writing. $52.00 +$3.99 s/h Good a2zbooks Burgin, KY The text has some marking, the cover has wear with lower front corner curl, creases and has clear tape on the upper lower spine. The title page is missing. Quantity Available: 1. ISBN: 0534398790. I...show moreSBN/EAN: 9780534398798. Inventory No: 1560805222. ...show less $52.00 +$3.99 s/h Good A2ZBooks Ky Burgin, KY Pacific Grove, CA 2004 Softcover Good Condition The text has some marking, the cover has wear with lower front corner curl, creases and has clear tape on the upper lower spine. The title page is mis...show moresing. Quantity Available: 1. ISBN: 0534398790. ISBN/EAN: 9780534398798. Inventory No: 1560805222 NO CD. Has a name inside the front cover and a school stamp on the title...show more a "pink" stain on the lower corner outer page edges. Has NO CD. Quanti...show morety Available: 1. ISBN: 0534398790. ISBN/EAN: 9780534398798. Inventory No: 1560780740 NO CD. Has a name insi...show morede the front cover and a school stamp on the title a "pink" stain on the ...show morelower corner outer page edges. Has NO CD. Quantity Available: 1. ISBN: 0534398790. ISBN/EAN: 9780534398798. Inventory No: 1560780740
The SSAC Library SSAC modules are PowerPoint presentations that lead students to build Excel spreadsheets while they examine and solve elementary mathematics problems in non-mathematics context. In working through the modules, students apply their problem-solving abilities to three, interacting sets of problems simultaneously. The students determine the correct cell equations to populate the spreadsheets. They work through the embedded mathematical content. They solve the in-discipline problem or problems of the context. Module Design Slide-sorter view of the 15 slides of SSAC2004.QE420.LV1.1, "How Large is a Ton of Rocks?" The modules consist of about 15 PowerPoint slides. The PowerPoint presentations are designed with the assumption that the students will work through the slides on their own. That is, the presentations are self-contained (e.g., requiring no textbooks), and they are written for the students, not the instructors. The first slide is a title slide that includes a list of the quantitative concepts and skills that come into play in completing the module. The list can serve as a prompt to discerning students who wonder "what is going to be on the quiz?" The bookends of the modules are one or more slides at the beginning that set the nonmathematics context and one or more slides at the end that give "end-of-module assignments." The beginning, context slides typically state the problem that is addressed by the module, give some background information on the context, and preview the content and objectives of the following slides. The end-of-module assignments, which are intended as homework, commonly include one or more questions that ask the students to change some of the parameters in the spreadsheets that they made while working through the module. The core of the module is the sequence of slides that takes the students through the construction of the spreadsheets. The spreadsheets do the calculations that address the in-context problem. In many cases, this part of the module involves graphing. The modules that are aimed at beginning spreadsheet users include Excel instructions. In all cases, the exception is that students duplicate the spreadsheets on their computer. The slides are strongly color-coded. Blue text boxes contain information in the mainstream of the narrative. Green text boxes signify a "command" such as "Recreate this spreadsheet." Red text boxes give sideline information that may be interesting or useful. The embedded spreadsheets are also color-coded. Although numbers appear on both yellow and orange cells, the yellow cells are for numbers and the orange cells are for cell equations. Students are supposed to figure out the cell equations that go in the orange cells. They use the numbers that appear in the orange cells as checks on their equations. The longer modules are longer because of additional slides at the bookends -- generally because of fuller development of the context. Some of the later modules make extensive use of hyperlinks to end notes and Internet resources. Regardless of the length and detail of the module, the core in which the students build the spreadsheets usually does not exceed 10-12 slides. In some cases it is considerably less. Code Numbers Each module has a three-part code number that appears in the upper-left corner of the title slide. The code number is of the form SSAC2005.QA1.SJ1.1. The SSAC2005 segment indicates the year of the series. SSAC2005, SSAC2006 and SSAC2007 indicate modules associated with the workshops of Summer 2005, 2006, and 2007, respectively. SSAC2004 indicate modules reformatted from the precursor proof-of-concept project -- "Spreadsheets for Geological-Mathematical Problem Solving." The QA1 part of SSAC2005.QA1.SJ1.1 corresponds to the Library of Congress classification of subjects. For example, QE531 for the module on the popping-popcorn analogy for radioactive decay catalogs the module in geochemistry. The SJ1.2 part codes for the author. For example GTF1.2 for the module on the trade-offs in driving a distance for cheaper gas prices indicates the module is Gary Franchy's second SSAC module. Similarly, CC1.3 signifies Cheryl Coolidge's third SSAC module, and CC2.2 indicates Chuck Connor's second. Cover Pages Beginning of the SERC cover page for "Driving Across Town for Cheaper Gas." Annotation lists the subheadings for the write-up of the module. As part of SERC's Pedagogical Services project, each module has a descriptive cover page in which the author of the module gives pedagogical information such as learning goals, context of use, and teaching tips. The cover page also includes an image of the module's title slide, which lists the various quantitative concepts and skills targeted by the module. Collage showing the link to download the student version of the module and the request form for the instructor version. The link to the student version of the module is under Teaching Materials in the cover page. In the student version, the spreadsheets are embedded as pictures rather than as worksheets, so clicking on the spreadsheets does not activate Excel. Instructors who would like instructor versions, in which spreadsheets are embedded as worksheets, are invited to click on "request" and fill out the request form that comes up. View of the browse page that lists the available modules (in July 2007, when only 27 modules were live). The titles of the modules in each of the collections are listed in a browse page that links to the cover pages. The browse page includes a couple ways to search for modules. The search box at the upper left provides a full-text search of the cover pages, so you can search by author, subject, or keyword. There are also three Narrow the View search boxes on the right using index tags (click on the links to see the full vocabularies): Math content (Quantitative Concept)(Microsoft Word 41kB Jun17 10), Context (Subject)(Microsoft Word 29kB Jul13 07), and Excel Skill(Microsoft Word 32kB Jul13 07).
Introduction Calculus on ehow.com How to Find a Limit in Calculus \| eHow Calculus is a mathematical discipline that is based on limits. The first lessons in any introduction to calculus course concerns limits, which is the value of a ...
Barry McQuarrie's Math 1001 Archive Math 1001 Survey of Math Course Prerequisites To succeed in this course you will need to have had two years of high school math. Goals This course provides an overview of mathematics as used in our society. A student who successfully completes this course will gain proficiency with mathematical models relating to a wide spectrum of real life situations, including scheduling, the traveling salesman problem, and personal finance. be able to critically assess these models, the assumptions inherent in the models, and their applicability to different situations, understand basic statistics and probability, understand symmetry, and identify symmetry in the world around them, understand tiling, and construct simple tilings, use a spreadsheet to analyze data and understand personal finance and other mathematical ideas. Textbook NOTE: TEXTBOOK EDITION IS ACCURATE FOR SPRING 2010. The textbook for the course is For All Practical Purposes, 8th Ed., COMAP. The bookstore will have the latest edition, and the course calendar below is based on the 8th Edition. The differences between the editions is usually minimal, but if you use an earlier edition be aware that some of the sections may be numbered differently, content may be slightly different, and problems listed as practice below may not line up with your older edition. This is a very good book, in my opinion, but it certainly contains far more material than we will cover in this class. It should prove to be an excellent resource for you in the future. To be prepared for the lectures you should read the section the lecture is on before the lecture is given. I will typically not be able to cover everything from the section in the lecture, but I will indicate what material you are responsible for from each section. Time Commitment To succeed in this course you will need to be willing to spend, per week, nine hours outside of class reading the textbook and working problems (UMM policy is that one credit is defined as three hours of learning effort per week for an average student to earn an average grade in the course: 4 credits times 3 hours/week/credit - 3 hours/week in lecture = 9 hours/week outside class). Course Components Practice. On the course webpage I suggest practice homework problems for each lecture. You should do as much extra practice as you deem necessary to enhance your understanding of a topic. Falling behind in this course, as in any university course, can lead to disaster, so it is important that you keep up with the material. Practice problems are not graded. Brain Builders. In class I will hand out short Brain Builders, which are exercises based on some of the concepts we are studying. Sometimes these Brain Builders will be completed and turned in during class, sometimes I will let you take them home and turn them in the following class. The Brain Builders should take about half an hour to complete. The course calendar below list tentative dates for the Brain Builders. Assignments. Assignments will involve more complex problems than on the Brain Builders. Assignments will be handed out in class, and collected in class (the due dates are listed on the calendar below). Assignments will be handed in at the beginning of class on the day they are due, unless you have spoken to me beforehand and I have granted an extension. Putting assignments in my mailbox or under my office door while I am teaching another course is severely frowned upon unless we have agreed that you will be doing this. If this is done when I am teaching your class I will not accept the work--believe it or not, people have actually done this! I am demanding that solutions be written up well. This means solutions should be a self-contained document. They should be written legibly, contain diagrams or tables where appropriate, and should state the problem and explain the solution. Interspersing English sentences which explain what you are doing can help in this regard. With its worked-out examples, the book provides many examples of a good solution. To say it a different way, solutions with totally correct computations lacking in necessary good explanations will tend to receive 85%, not 100%. It is OK to collaborate on assignments, and I anticipate many of you will work with other students in the class, however, every student turns in their own solutions to all the problems on each assignment. Collaboration does not mean that others do your thinking for you. Collaboration in this course means there is a good back and forth conversation among study partners, but never direct copying of another's work. For example, if a study partner gets stuck on a problem, you should help them get unstuck by telling them in words what it was that you did to get past the part they are stuck on. Using words instead of showing them your work is important, since they will then have been provided a hint but will still need to do the work themselves. This facilitates learning, which simply copying your work will not. If in helping a classmate you get to the point where you think you need to show them your work for them to be able to answer the question, don't show them your work--it is time for them to come visit office hours. Excel. Excel is a component of some assignments, and each student will create their own Excel-based solutions when these are asked for. Basically, you should not work two people to one computer--if two people are working on separate computers they can talk with each other if they get stuck, but each person creates their own solution, and that is what I want. Do not leave copies of your assignments on public computers! Copy them to your own disk and then delete them from the Recycle Bin before you leave a public computer. Exams. You will not be allowed any outside material on your desks during these exams. You will need a calculator that can do exponents (23=8 for example) for some of the problems on the tests and final. Debriefing after tests should be done during office hours, after you have had a chance to reflect on the exam. Grading Here is the University-wide uniform grading policy. A Represents achievement that is outstanding relative to the level necessary to meet course requirements. C Represents achievement that meets the course requirements in every respect. D Represents achievement that is worthy of credit even though it fails to fully meet the course requirements. F Represents failure and indicates that the coursework was completed but at a level unworthy of credit, or was not completed and there was no agreement between the instructor and student that the student would be temporarily given an incomplete. A few of you may be taking the course S-N. In this case, you need to earn a C- to receive an S. An incomplete grade (I) is only given under truly extraordinary circumstances (falling behind in the course is not a sufficient reason for an I to be granted). The grade for the course will be calculated by the following formula: Brain Builders 20% Assignments 45% Tests 35% Your numerical grades will be converted to letter grades and finally Grade Points via the following cutoffs (see the UMM Catalog for more on Grades and Grading Policy): Numerical 95% 90% 87% 83% 80% 77% 73% 70% 65% 60% Below 60% Letter A A- B+ B B- C+ C C- D+ D F Grade Point 4.00 3.67 3.33 3.00 2.67 2.33 2.00 1.67 1.33 1.00 0.00 Respectful Classroom Be in class on time. I nor you fellow classmates enjoy the disruption late arrival causes. I know that situations crop up that will entail late arrival (please come even if you are late!) but try to ensure it is the exception and not the rule. If you need to leave class early, let me know before class and slip out as unobtrusively as possible. During class, cell phones and music devices should be turned off, and headphones removed from ears. To ask a question during class, you can get my attention by saying my name (``Barry, could you explain how you know the graph has an Euler circuit?") or raise your hand. As a student you may experience a range of issues that can cause barriers to learning, such as strained relationships, increased anxiety, alcohol/drug problems, feeling down, difficulty concentrating, and/or lack of motivation. These mental health concerns or stressful events may lead to diminished academic performance or reduce a student`s ability to participate in daily activities. If you have any special needs or requirements to help you succeed in the class, come and talk to me as soon as possible, or visit the appropriate University service yourself. You can learn more about the range of services available on campus by visiting the websites: Cooperation is vital to your future success, which ever path you take. I encourage cooperation amongst students where ever possible, but the act of copying or other forms of cheating will not be tolerated. Academic dishonesty in any portion of the academic work for a course is grounds for awarding a grade of F or N for the entire course. Any act of plagiarism that is detected will result in a mark of zero on the entire assignment or test for both parties. If you are in any way unclear about what constitutes academic dishonesty, reread the earlier section on Assignments where I discuss collaboration, and please come and talk to me if you have any questions. UMM's Academic Integrity policy and procedures can be found at Since the assignments are handed out days in advance, only under exceptional circumstances (which can be officially documented) will I accept late work. You will receive a mark of zero if an assignment is submitted late. However, please talk with me asap (do not wait until the next class) if you missed turning something in, even if it is after the deadline. If you are going to miss an exam, let me know in advance so we can work out alternate plans. Taking an exam early can usually be arranged. Lecture Preparation The majority of your learning will take place outside of lectures, as you work problems and read the text. You will not learn everything you need to learn in this course simply by coming to lectures, nor if you miss lectures. You must come to lectures and put in the time outside of class to master the material. To get the most out of the course you should work on homework for the course every day. I can not stress enough how important it is that you work problems! The homework identifies the types of problems from the text that should be mastered. read the section before the lecture and do not fall behind. Make sure when you are reading that you are reading for comprehension. This means you are thinking about what you are reading, rereading paragraphs when necessary, and pausing to work through examples to ensure you understand them completely. Make notes about the material, especially anything you don't fully understand. Then come see me, your study group, or a tutor to discuss these concepts so that you do understand them. Reading for comprehension takes practice, but it is an essential skill to develop to help you succeed at university. As you read, try to focus on understanding rather than memorization. discuss any difficulties with me during office hours, or by appointment,. Please make the most of my Office Hours! When you come to office hours, come prepared: for conceptual questions bring your notes on the topic and any problems you have done relating to that topic; for homework questions, bring the work you have done on that problem. form a study group. Exam Preparation Here are some suggestions to guide your preparation for tests. If you have a technique which works for you and isn't listed here, please let me know so I can pass it on to your peers! Review assignments and homework solutions. This will provide you with an overview of the material you need to be studying. Review the concepts and vocabulary in the text. Can you talk about the concepts? Do you know the basic results from the concept review? Make notes on the topics you are studying as you review. Write short sentences to describe how to solve problems. Describe verbally to a friend how you would solve a particular type of problem. This verbal description will help you remember the process of solving particular problems during the test. Do problems from the text which have solutions that are similar to problems seen in class or assigned as homework. Branch out and do other types of problems that appeared less frequently throughout the section. Studying in many short sessions is more effective than one or two marathon studying sessions. Consider making a time schedule which maps out when and what you will study. You might choose a long term time frame (Friday Morning: History, Friday Afternoon: Precalculus, etc), and a short term time frame for each day that lists what exactly you will focus on. The short term time frame can be created every day and be more flexible. Create goals which you can reasonably be expected to meet. Get as much sleep as possible while you study for tests. Come to your exams well rested, and mentally sharp. Study in an environment that mimics the environment the test will take place in. It should be quiet and clear of clutter. Use the practice tests questions provided on the course webpage as a practice test, maybe only doing a selection of the problems so it is a bit shorter. Answer these questions as if you are taking a test, without the textbook or any other resources that will not be provided on the test. For a given chapter (or section), create practice "tests" for yourself, maybe three or four questions which you have the solution to, and then answer them without reference to the text. Correct your test yourself, or work with a friend and have them correct your test and you correct theirs. Do not move on to other questions until you have mastered these ones. You might consider imposing a time limit on these mini-tests. If you do study in groups, also study alone so you can focus on the types of questions you need to work on. Come and talk with me (email me to set an appointment if necessary) if there are questions you have. Course Calendar Here is the tentative lecture schedule. You are responsible for any changes to this schedule which are announced in class.
Can low achieving mathematics students succeed in the study of linear inequalities and linear programming through real world problem based instruction? This study sought to answer this question by comparing two groups of low achieving mathematics
Elayn Martin-Gay firmly believes that every student can succeed, and her developmental math textbooks and video resources are motivated by thi... MOREs belief. Prealgebra, Sixth Edition was written to help readers effectively make the transition from arithmetic to algebra. Martin-Gay's emphasis on Study Skills ensures that students make the most of their valuable study time in order to help them succeed in this course. Student Resources, located in the back of the text, gives students a variety of tools that are conveniently located in one place to help them achieve success in math. The new edition offers new resources like the Student Organizer (available separately) and now includes Student Resources in the back of the book to help students on their quest for success. 3.2 Solving Equations: Review of the Addition and Multiplication Properties Integrated Review - Expressions andEquations 3.3 Solving Linear Equations in One Variable 3.4 Linear Equations in One Variable and Problem Solving 4. Fractions and Mixed Numbers 4.1 Introduction to Fractions and Mixed Numbers 4.2 Factors and Simplest Form 4.3 Multiplying and Dividing Fractions 4.4 Adding and Subtracting Like Fractions, Least Common Denominator and Equivalent Fractions 4.5 Adding and Subtracting Unlike Fractions Integrated Review - Summary on Fractions and Operations on Fractions 4.6 Complex Fractions and Review of Order of Operations 4.7 Operations on Mixed Numbers 4.8 Solving Equations Containing Fractions 5. Decimals 5.1 Introduction to Decimals 5.2 Adding and Subtracting Decimals 5.3 Multiplying Decimals and Circumference of a Circle 5.4 Dividing Decimals Integrated Review - Operations on Decimals 5.5 Fractions, Decimals, and Order of Operations 5.6 Solving Equations Containing Decimals 5.7 Decimal Applications: Mean, Median, and Mode 6. Ratio, Proportion, and Triangle Applications 6.1 Ratios and Rates 6.2 Proportions Integrated Review - Ratio, Rate, and Proportions 6.3 Proportions and Problem Solving 6.4 Square Roots and the Pythagorean Theorem 6.5 Congruent and Similar Triangles 7. Percent 7.1 Percents, Decimals, and Fractions 7.2 Solving Percent Problems with Equations 7.3 Solving Percent Problems with Proportions Integrated Review - Percent and Percent Problems 7.4 Application of Percent 7.5 Percent and Problem Solving: Sales Tax, Commission, and Discount 7.6 Percent and Problem Solving: Interest 8. Graphing and Introduction to Statistics 8.1 Reading Pictographs, Bar Graphs, Histograms, and Line Graphs 8.2 Reading Circle Graphs 8.3 The Rectangular Coordinate System and Paired Data Integrated Review - Reading Graphs 8.4 Graphing Linear Equations in Two Variables 8.5 Counting and Introduction to Probability 9. Geometry and Measurement 9.1 Lines and Angles 9.2 Perimeter 9.3 Area, Volume, and Surface Area Integrated Review - Geometry Concepts 9.4 Linear Measurement 9.5 Weight and Mass 9.6 Capacity 9.7 Temperature and Conversions between the U.S. and Metric Systems 10. Exponents and Polynomials 101. Adding and Subtracting Polynomials 10.2 Multiplication Properties of Exponents Integrated Review - Operations on Polynomials 10.3 Multiplying Polynomials 10.4 Introduction to Factoring Polynomials Appendices Appendix A. Tables 1. Geometric Figures 2. Percents, Decimals, and Fraction Equivalents 3. Finding Common Percents of a Number 4. Squares and Square Roots Appendix B. Quotient Rule and Negative Exponents Appendix C. Scientific Notation Appendix D. Geometric Formulas Student Resources Study Skills Builders Bigger Picture–Study Guide Outline Practice Final Exam Answers to Selected Exercises Solutions to Selected Exercises CDs useful for review. Her textbooks and acclaimed video program support Elayn's passion of helping every student to succeed.
Algebra: Getting Off to the Right Start A Sequential Step by Step Process First of all, math cannot be fully understood or learned well without practicing. Algebra is no different. If you just remember all the rules and procedures without truly understanding the concepts, you will no doubt have difficulty learning algebra. Algebra can begin to make sense with the determination to take small steps, practice and increase the difficulty in the types of equations you solve in a step-by-step sequential process. Sometimes it helps to treat algebra like driving a car. You learn to drive with practice and there are certain rules to follow, knowing the rules makes driving easier and you avoid making mistakes. Algebra requires you to apply certain rules and the better you become at following the rules - which takes practice, the better you become a solving algebraic equations. Don't let the rules and procedures throw you off - those are part of life, you use them to drive, to follow recipes, to use a computer and to play games. Don't let rules and procedures throw you off algebra - treat it like a game and most of us seem to like games! Why learn Algebra? For starters - it's math! Careers today demand skills like problem solving, reasoning, decision making, and applying solid strategies etc. Algebra provides you with a wonderful grounding in those skills - not to mention that it can prepare you for a wide range of careers. Algebra is a great mental workout and it's the only path to moving on to more advanced maths. And....believe it or not algebra IS much easier to learn than many of us think! The Basics of Algebra Take the real situation and turn it into an equation. Find out what the unknown is. For example.........Here's the 'real' situation: Tabitha was carrying 20 balloons until the wind carried a few away and she was left with 15. Now you need to take this and turn it into an equation: 20-x=15 That's the first step! Now this is pretty easy to figure out, however, when the problems get harder you will want to understand exactly what you do to solve the problem. That's when the balance scale comes into effect. Algebra is like a balance scale. To keep a balance scale balanced you will need to do the same to each side. If you have an 8 ounce block on both sides and add a 4 oz. block to one, you'll need to add it to the other side to keep it balanced. Let's apply this strategy to solve our equation. 20-x=15 We need to isolate x. So, if we subtract 15 from one side and subtract 15 from the other side, we'll solve x What happens? You've taken 15 from the left side leaving nothing. You've taken 15 from 20 which gives you x=5 Easy? Well, that's step 1 and as I stated earlier, you will want to progress solving algebraic equations in an increasing level of difficulty. You keep trying to manipulate the equation to try to isolate the unknown. Always do the same thing to each side whether you add, subtract, multiply or divide. Learning algebra is a sequential process. When you are struggling, it's time to back up and review, I call this, closing the gap! Remember, there's lots of full year courses at a variety of levels devoted to Algebra! A slow steady approach with lots of practice will provide you with the path to success! Good luck!
Math Working Model There are various concepts in the field of mathematics and they can be used to generate models. These models can be termed as mathematical models. There can be different types of models ranging from the quadratic equation concept to exponential series. Working models help in solving the problems. Differential equations can be an example of mathematical modelling system. Mathematical models can be various fields of mathematics and science. There are subjects like physics, chemistry or biology or even metrology where this finds application. Every model is designed with a purpose. They can be used to study the behavior of various components present in the system and also used in the prediction of the behavior of the system. There are also various competitions designed in the field of mathematics keeping in view to explore newer talents. They are known as Olympiads and are also for the students of the ninth grade. The 9 class Math working models are considered to be less complex compared to the real time working models used in the field of science and technology. They can deal with various concepts and the language of Mathematics. These are heavily used in the field of operations research and also in the field of Statistics. Statistics will be interesting for the people who have a desire for number crunching; otherwise it is kind of boring. People who do not have a penchant for numbers cannot excel in the field of statistics. Operations research can also be used to generate lot of models. Operations research can be used to generate models for optimization of costs or variables which are related to business. Mathematical models usually are placed in two categories. This classification is based on the principle of availability of data. If no data is available before the development of a model then it is known as the black box model and if some information is available before the development of the model then it is called the white box model. The concept of black box is used in various fields. There can be various variables used in the development of the models. Variables are those whose values do not remain constant and changes over time. The variables can be classified as the decision variable, the variable that acts as the input, and the variable that represents the output and so on. Then there are the random variables as well. One of the example of the several models that are used in the lower grades in mathematics is the bar model. Mathematical problems can be solved easily and without much effort when these are used. Basically a model is created for a problem and the problem is analyzed. This makes the analysis and the process of arriving at the solution gets simplified. The solution obtained could easily be verified as well. This is one of the major advantages and time can also be saved. Time is a major resource and has to be used efficiently. The 9 class math working models can be helpful in solving the problems based on the needs of the 9th grade students. The field of geometry can also be explored with the help of these. There are various theorems that must be learnt in the field of geometry. Before the use of a theorem this must also be proved. The proof is obtained with the help of axioms. The axioms are nothing but the facts that are to be accepted without any proof. They can come in handy in finding the proof of a theorem. Once the theorems are proved they can be easily used to solve the problems and obtain the solutions. Best Results From Wikipedia Yahoo Answers Youtube From Wikipedia Working class Working class (or Lower class, Labouring class) is a term used in the social sciences and in ordinary conversation to describe those employed in lower tier jobs (as measured by skill, education and lower incomes), often extending to those in unemployment or otherwise possessing below-average incomes. Working classes are mainly found in industrializedeconomies and in urban areas of non-industrialized economies. As with many terms describing social class, working class is defined and used in many different ways. When used non-academically, it typically refers to a section of society dependent on physical labor, especially when compensated with an hourly wage. Its use in academic discourse is contentious, especially following the decline of manual labor in postindustrial societies. Some academics question the usefulness of the concept of a working class. The term is usually contrasted with the Upper classandMiddle class, in general terms of access to economic resources,education and cultural interests. The cut-off between Working class and Middle class is more specifically where a population spends money primarily as a lifestyle rather than for sustenance (for example, on fashion versus merely nutrition and shelter). Its usage can alternately be derogatory, or can express a sense of pride in those who self-identify as Working class. Definitions Definitions of social classes reflect a number of sociological perspectives, informed by anthropology, economics, psychology and sociology. The major perspectives historically have been Marxism and Functionalism.. The parameters which define working class depend on the scheme used to define social class. For example, a simple stratum model of class might divide society into a simple hierarchy of lower class, middle class and upper class, with working class not specifically designated. Due to the political interest in the working class, there has been debate over the nature of the working class since the early 19th century. Two broad schools of definitions emerge: those aligned with 20th-century sociological stratum models of class society, and those aligned with the 19th-century historical materialism economic models of the Marxists and anarchists. Key points of commonality amongst various ideas include the idea that there is one working class, even though it may be internally divided. The idea of one single working class should be contrasted with 18th-century conceptions of many laboring classes. Sociologists Dennis Gilbert, James Henslin, William Thompson, Joseph Hickey and Thomas Ayling have brought forth class models in which the working class constitutes roughly one third of the population, with the majority of the population being either working or lower class. Marxist definitions Karl Marx defined the working class or proletariat as individuals who sell their labor power for wages and who do not own the means of production. He argued that they were responsible for creating the wealth of a society. He asserted that the working class physically build bridges, craft furniture, grow food, and nurse children, but do not own land, or factories. A sub-section of the proletariat, the lumpenproletariat (rag-proletariat), are the extremely poor and unemployed, such as day laborers and homeless people. In The Communist Manifesto, Marx argued that it was the destiny of the working class to displace thecapitalist system, with the dictatorship of the proletariat, abolishing the social relationships underpinning the class system and then developing into a future communist society in which "the free development of each is the condition for the free development of all." In Capital, Marx dissected the ways in which capital can forestall such a revolutionary extension of the Enlightenment. Some issues in Marxist arguments about working class membership have included: The class status of people in a temporary or permanent position of unemployment. Question:i have to make a working model on algebraic expressions. how to make a WORKING MODEL? help!first tell me what a working model is! the algebraic identity is (a+b)squared = asq+bsq+2ab so pls help! Answers:take a cardboard....stick a paper on it...write on the left side a+b^2 solving by putting in values.....on the right side rite a^2 +b^2 +2ab....and use matchsticks to represent values....hope u understand??? Question:i am in class 9th, i have to make such model which is best in school.please give some topics name & their explaniation with their simple method to made. Answers:Can you get hands on pulleys ? Pulley systems relatively easy to set up and awesome demonstration of Lever type system. If set up right (firm ring stand or mounted) they can lift quite interesting amounts of weight with little force. Perfect for "Work and Energy" in Class IX physics. Web site might give some help if you are in India ?
From differentiation to integration - solve problems with ease Got a grasp on the terms and concepts you need to know, but get lost halfway through a problem or, worse yet, not know where to begin? Have no fear! This hands-on guide focuses on helping you solve the many types of calculus problems you encounter in a focused, step-by-step manner. With just enough refresher explanations before each set of problems, you'll sharpen your skills and improve your performance. You'll see how to work with limits, continuity, curve-sketching, natural logarithms, derivatives, integrals, infinite series, and more! 100s of Problems! Step-by-step answer sets clearly identify where you went wrong (or right) with a problem The inside scoop on calculus shortcuts and strategies Know where to begin and how to solve the most common problems Use calculus in practical applications with confidence We do not deliver the extra material sometimes included in printed books (CDs or DVDs).
Glencoe Secondary Mathematics to the Common Core State Standards, Algebra 2 SE Supplement Mastering the Achieve ADP Algebra II EOC Exam Math Triumphs--Foundations for Algebra 2 Summary TheStudy Guide & Intervention Workbookcontains two worksheets for every lesson in the Student Edition. Helps students: Preview the concepts of the lesson, Practice the skills of the lesson, and catch up if they miss a class. Tier 2 RtI (Response to Intervention) addresses students' needs up to one year below grade level.
2nd Edition Today's mathematics classrooms increasingly include students for whom English is a second language. Teaching Mathematics to English Language Learners provides readers a comprehensive understanding of both the challenges that face English language learners (ELLs) and ways in which educators might
Find a Gladwyne AlSome basic operations of set theory include the union and intersection of sets. Combinatorics studies the way in which discrete structures can be combined or arranged. Graph theory deals with the study of graphs and networks and involves terms such as edges and vertices.
MERLOT Search - category=2513&materialType=Online%20Course A search of MERLOT materialsCopyright 1997-2013 MERLOT. All rights reserved.Fri, 6 Dec 2013 10:39:54 PSTFri, 6 Dec 2013 10:39:54 PSTMERLOT Search - category=2513&materialType=Online%20Course 4434Algebra2go: An Online Supplemental Instruction Tool Array Algebra2go is a free unrestricted collection of pre-algebra and algebra related study materials designed to address the affective dimensions of student learning.Algebra I Online This course contains both content that reviews or extends concepts and skills learned in previous grades and new, more abstract concepts in algebra. Students will gain proficiency in computation with rational numbers (positive and negative fractions, positive and negative decimals, whole numbers, and integers) and algebraic properties. New concepts include solving two-step equations and inequalities, graphing linear equations, simplifying algebraic expressions with exponents, i.e. monomials and polynomials, factoring, solving systems of equations, and using matrices to organize and interpret dataAn Introduction to Complex Numbers This is a free, online textbook/course that teaches about complex numbers. It is a workbook that has exercises through-out, with some of the answers provided as audio files.ASCII Art cool site on ascii artCalculusCalculus for Beginners and Artists This complete course in Calculus for beginners is one of MIT's OpenCourseWare offerings. It includes nearly a dozen Java applets to illustrate some of the concepts covered; there is a corresponding set of Flash applets with accompanying audio.Calculus I This free and open online course in Calculus 1 was produced by the WA State Board for Community & Technical Colleges [ is the mathematics of CHANGE and almost everything in our world is changing.CalBut II This free and open online course in Calculus II.YouCalculus III This free and open online course in Calculus III Causal and Statistical Reasoning This online course comes from the Open Learning Initiative (OLI) by Carnegie Mellon. "The course includes self-guiding materials and activities, and is ideal for independent learners, or instructors trying out this course package."״Does excessive exposure to violent video games cause violent behavior? Does increased gun availability cause more crime or less? This course examines the nature of causal claims and the statistical sorts of evidence used to support them." 'Our material is delivered in three forms - Concept modules, Case studies, and the Causality Lab. The Case Studies are a collection of over one hundred short news pieces (1-3 pages) - that each deal with some study concerned with a causal claim. They are listed in the Syllabus as part of the Appendix - and they can viewed alphabetically or in hierarchy by topical area (e.g. Health, Social Sciences, etc.). You will read several of them as part of the concept modules, but they are interesting in their own right and we urge you to explore them and find your own over the web. If you find a particularly interesting study we have not included, please send us the URL by email <oli-help@lists.andrew.cmu.edu>, and we will try to incorporate the study into the repository.The Causality Lab is a virtual environment to simulate the science of causal discovery. The lab contains a "true" causal model behind the scenes that was created by the instructor (or another student), and your job is to set-up experiments, collect data, create hypotheses, and compare the predicitons from your hypotheses against the data to find the truth. Causality Lab exercises are included as a regular part of the course, but they are also available as a series of stand alone lessons accessible from the Syllabus in Unit 7: Causality Lab Lessons.The "Concept modules" are meant to present the basic concepts and terminology behind Causal and Statistical Reasoning. Each is meant to cover about the same amount of material delivered in a textbook chapter. Each includes text, pictures, movies, simulations, questions for you to answer, and a quiz at the end of the module that you might be assigned to take for credit. They take anywhere between one to five hours to complete. We have grouped the modules into five topical areas: •Area 1: Causal Theories •Area 2: Statistical Evidence: Association and Independence •Area 3: Causal Theories --> Statistical Evidence •Area 4: Statistical Evidence -->Causal Theories: Problems •Area 5: Statistical Evidence -->Causal Theories: Strategies'
More About This Textbook Overview Learn to think mathematically and develop genuine problem-solving skills with Stewart, Redlin, and Watson's COLLEGE ALGEBRA, Sixth Edition. This straightforward and easy-to-use algebra book will help you learn the fundamentals of algebra in a variety of practical ways. The book features new tools to help you succeed, such as learning objectives before each section to prepare you for what you're about to learn, and a list of formulas and key concepts after each section that help reinforce what you've learned. In addition, the book includes many real-world examples that show you how mathematics is used to model in fields like engineering, business, physics, chemistry, and biology. Editorial Reviews Booknews Coverage extends from basic algebra and coordinates to sequences and series and counting and probability. Pedagogical features include exercises and answers, focus sections on modeling and problem solving, three types of projects, and integration of the use of graphing calculators and computers. Other learning features are short biographies and vignettes, real-world applications, discussion and writing exercises, and chapter reviews and tests. This third edition contains new material on basic equations, the coordinate plane, and graphs of equations, plus new projects. The author is affiliated with McMaster University. Annotation c. Book News, Inc., Portland, OR (booknews.com) Related Subjects Meet the AuthorLothar Redlin grew up on Vancouver Island, received a Bachelor of Science degree from the University of Victoria, and a Ph.D. from McMaster University in 1978. He subsequently did research and taught at the University of Washington, the University of Waterloo, and California State University, Long Beach. He is currently Professor of Mathematics at The Pennsylvania State University, Abington Campus. His research field is topology. Saleem Watson received his Bachelor of Science degree from Andrews University in Michigan. He did graduate studies at Dalhousie University and McMaster University, where he received his Ph.D. in 1978. He subsequently did research at the Mathematics Institute of the University of Warsaw in Poland. He also taught at The Pennsylvania State University. He is currently Professor of Mathematics at California State University, Long Beach. His research field is functional
It is strongly recommended that students complete one year of geometry and two years of algebra to prepare for this course. It is available only to students with a declared major in elementary education, early childhood education, exceptional child education, middle school education, or secondary mathematics education. MA123 This course, a liberal arts approach to mathematics, is for students in degree programs for which MA134 is not required. Many majors are considering changing their mathematics requirements; do not assume MA134 is still required. MA133 One year of high school geometry is strongly recommended, but not required. This course does not meet the Logical Systems requirement. MA155 This course, an introduction to statistical literacy, is for students in degree programs for which MA134 is not required. Many majors are considering changing their mathematics requirements; do not assume MA134 is still required. MA138 MA134 with a grade of C or higher OR ACT Math Sub-score greater than or equal to 21 and at least 4 credits of high school mathematics that include 2 credits of algebra and 1 credit of pre-calculus mathematics (or equivalent). MA139 MA134 math (or equivalent). Note: A student with an ACT Math sub-score from 21 to 23 may appeal to be placed into MA139 if he/she has completed 5 credits of high school mathematics (as above) with a high school GPA at least equivalent to a 3.5 on a 4-point scale. MA140 MA134 and MA133 with grades of C or higher or MA135 mathematics (which includes trigonometry). Note: A student with an ACT Math sub-score from 21 to 23 may appeal to be placed into MA140 if he/she has completed 5 credits of high school mathematics (as above) with a high school GPA at least equivalent to a 3.5 on a 4-point scale. MA145 MA140 with a grade of C or higher. Note that MA139 is not sufficient. Note 1. Students who have college credit for MA134 or MA140 should be advised to take the next higher course and not repeat, since they will, in essence, lose their previous credit. If they desire a review before attempting the next course, they may opt to audit the course for which they have credit. Note 2. In all courses in the Mathematics Department, it is required that students have a grade of C or better in the prerequisite course to enroll in the next course. Note 3. A student should complete any required developmental courses (MA101 or MA102) within the first 60 semester hours of course work. MA090 and MA095 are no longer offered. MA134 College Algebra includes significant coverage of specific algebraic skills and understandings needed in higher courses, and involves a certain amount of abstract thinking. MA134 is a prerequisite for several other mathematics courses and for some courses in other departments – e.g., Accounting 221, Economics 215, Physics 120. MA123 Survey of Mathematics is a liberal arts approach to mathematics. MA155 Statistical Reasoning is an introduction to statistical literacy. MA123 and MA155 are not prerequisites for any other course. MA118 Mathematics I is for certain education majors, and non-education majors are not admitted. PL120 Symbolic Logic I is taught in the Department of Philosophy. MA134 is not designed to be a terminal course, but rather to prepare students for other courses; by contrast, MA123 and MA155 are designed specifically as terminal courses, to provide students with more immediate applications, more directly relevant ideas and less abstraction than MA134. Students who are very sure that they will take only one more mathematics course would do well, in general, to take MA155 or MA123 instead of MA134. MA134 is still the best course for people who are considering more mathematics courses, for those unsure of their major, for those who might be transferring to another university, or for those who may consider graduate studies in the future. The Mathematics Department recommends to students that they check with their major advisors before choosing MA123 or MA155 over MA134. The descriptions from the Undergraduate Bulletin of the five courses satisfying the Logical Systems requirement: MA134. College Algebra. Includes the study of functions and graphs, polynomial and rational functions, exponential and logarithmic functions, systems of equations and inequalities, and the binomial theorem. MA155. Statistical Reasoning. Introduces statistical ideas to students, enabling student to deal critically with statistical arguments, and gain an understanding of the impact of statistical ideas on public policy and in other areas of academic study. MA123. Survey of Mathematics. Provides a sampling of topics which mixes mathematics history, its mathematicians, and its problems with a variety of real-life applications. MA118. Mathematics I. Provides an introduction to problem solving strategies, sets, whole numbers and their operations and properties, number theory, numeration systems, computer usage, informal geometry, and the historical significance and applications of these topics in the K-9 mathematics curriculum. For students who have declared an education major in elementary, early childhood, exceptional child, middle school, or secondary mathematics. PL120. Symbolic Logic I. A formal study of argument and inference, emphasizing the application of symbolic techniques to ordinary language. Any questions about math placement issues should be directed to the Department of Mathematics at 651-2164.
Product Description The final stop for Saxon's middle school math, Math 8/7 continues teaching students the way they learn best...through incremental development of new material and continual review of the old. Following Math 7/6, concepts such as arithmetic calculation, measurements, geometry and other skills are reviewed, while new concepts such as pre-algebra, ratios, probability and statistics are introduced as preparation for upper level mathematics. Lessons contain a warm-up, introduction to new concepts, lesson practice where the new skill is practiced, and mixed practice, which is comprised of old and new problems. Designed for students in Grade 7, or Grade 8 for students struggling with math. The "Tests and Worksheets" book provides a "facts practice test" for each lesson as well as a test covering 5-10 lessons. Investigations are also included. The solutions manual provides answers for all problems in the lesson (including Warm-up, lesson practice, and mixed practice exercises), as well as solutions for the supplemental practice found in the back of the student text, and the facts practice tests, activity sheets, and tests in the separate tests & worksheets book. Product Reviews Math 87, Third Edition 4.7 5 34 34 Excellent! great book, love the approach. Very detailed. September 5, 2013 Great Math Series! I purchased Saxon Math 8/7 for my 4th grader after she finished Saxon Math 7/6. We use it as part of our homeschool curriculum. I love that Saxon Math has such great explanations of new concepts, and constant repetition of those concepts throughout the book. The result is that when a child finishes a Saxon book, they thoroughly know all the concepts taught in that book. Great series! March 28, 2013 Best Math text for middle school!! Saxon Math 8/7 is the best I have seen for teaching middle school math students. The lessons flow at a comfortable pace; while the Mixed Practice keeps past lessons fresh in students minds during the introduction of new facts and procedures. September 18, 2012 Solid math program with plenty of explanation and review. Student can use textbook to "self teach". Lots of drill practice which has been very helpful. Very little teacher prep required! September 7, 2012
Learn Programming and Mathematics with MATLAB, 2e Written for undergraduate students, this E-book presents MATLAB as both a programming language and a tool to solve mathematical problems. The first half of the book introduces the user to the MATLAB environment, programming M-files, and graphical user interfaces. The second half of the book discusses the application of MATLAB to solve mathematical problems such as matrices and arrays, polynomials, differential equations, and more. The author has developed a supplementary set of MATLAB M-files and GUIs to accompany the text. These files are available on the CD. Free Algorithm Development Technical Kit Learn why MATLAB lets you develop algorithms much faster than low-level languages such as C, C++, or Fortran.

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