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Learn about linear graphs and vectors simply by just a swipe. Select graphs or vectors on intro page. Find the relationship between lines, gradients, vectors and equations by drawing a graph with your finger while this app does the rest. No input of values is necessary. This is an automatic graph app. Math Graph app – you draw graph, it works out the equation for you. Trace the graph with your finger. When done, sit back and study your graph. The app will draw the line and calculate gradient. It will also write down the graph equation at bottom left of screen. On vectors screen, you draw vectors with your finger, and this app analyzes them for you. It is an easy way to learn about simple vectors including addition of vectors. This native math app is meant for beginners in graphical methods, the first 2 years of learning graphs. If you have studied complex graphical methods but would still like to remind yourself about the basics, this app will do just that. You can work with the equations produced at your leisure, re-arranging them to discover more about graphical maths 4 3 2 2 1 1 11 good graph tool for basic math This app is a very good tool to study simple graphs and to analyze equations of a line. I like using it when relaxing in bed. A very useful Application A good application, very useful for graph equations,really helpful application and accurate. Overall a great application. A Google UserA Google User Adware-filled junk Horrible interface, very limited functionalty. Save yourself some time, and give this one a wide berth.Graph 89 - Emulator for the TI-89 graphing calculator. The ROM image is not included. You need to extract this from you own calculator. Make sure you have the ROM ready before downloading this emulator.
Math I/Accelerated Math I Questions and Answers 1. What prompted the change in the Georgia Math Curriculum? As part of the shift from the Quality Core Curriculum (QCCs) to the Georgia Performance Standards (GPS), the state convened an expert panel of mathematicians, math educators, business people, community members and educators to redesign all math curriculum for kindergarten through 12th grade. During this time, they reviewed standardized test scores and analyzed how students in Georgia fare in comparison to students from across the U.S. and around the world. They looked at how organizations, like the Fordham Foundation, rated the Georgia curriculum and noted that audits of the state math standards found the QCC's in mathematics to be repetitive, low-level, imprecise and unconnected to success on college readiness exams (SAT/ACT) and higherlevel coursework. The expert panel chose to use more rigorous performance standards written in terms where students not only have to "do" math, but must "apply" it to real world scenarios from a very early age. They also chose to integrate various topics so that students understand the connection among geometry, numbers and operations, algebra. This led the Georgia to create new high school courses that blend algebra, geometry and statistics. You can find the new Georgia Performance Standards for mathematics and the performance tasks at Click on MATHEMATICS and then click on Math Frameworks to find the tasks and units. 2. How is the new curriculum being taught? The basis of the high school curriculum is the Georgia math performance tasks. These are real-life problems that ask the students to apply mathematics concepts. Classroom teachers are doing a variety of things to help the students master the concepts, the skills, and the tasks. One method is direct instruction, where the teacher uses the interactive white board or other means to demonstrate/model for the students how to solve the problems. Another method is facilitated group work, where the teacher assigns a group of students a problem and they work collaboratively to solve the problem. When students have questions, the teacher is right there to assist by reviewing necessary skills and/or concepts to help them be successful. 3. Is there a textbook? Yes. The district adopted Carnegie Learning's Georgia Mathematics I and II to use with Math I, Accelerated Math I, and Math II. There were only two books designed for Georgia and the teacher committee chose the Carnegie learning resources because it was the best match for the new standards. Although the textbook was written for Georgia, the math performance tasks are not included in Updated 9/12/08 the new text as they are part of the curriculum published by the Georgia Department of Education. Teachers are working to balance the textbook and the tasks to ensure students have the support they need. 4. What are the student expectations? Leaders and teachers in Forsyth County Schools have been preparing for this new curriculum for well over a year. It has been anticipated that students and teachers across the state of Georgia would be challenged with the implementation of the new math curriculum. In order to best prepare, FCS teachers have been engaged in professional learning and collaborative lesson design. Teachers are working tasks together and determining how tasks can be broken down into necessary skills that students need to know and be able to do. There is a balanced approach between the tasks students must complete and ensuring students acquire the skills and concepts to be successful. FCS leaders and teachers recognize the pace and rigor of the course is challenging and will be monitoring implementation closely to inform any adjustments that need to be made. 5. How will you know if this is going well? FCS is committed to monitoring the implementation of the new curriculum through several different methods. Following the first six weeks of instruction students and teachers were asked to provide feedback on the curriculum the pacing, learning resources, homework, and where they may need additional support. This data helps to define the on-going professional learning conversations that are taking place among middle and high school teachers and allows us to adjust instruction as needed. In addition to having on-going conversations about student performance, a 12-week and 24-week district wide benchmark assessment has been developed to help gauge the progress of students on the concepts in math. These assessments will not count as a grade, but will tell the teacher exactly how well the students are doing and what has to happen next to improve student understanding. 6. Are all school systems in Georgia teaching the new math curriculum? The new math curriculum is Georgia's curriculum. Therefore, the End-ofCourse-Test (EOCT) that is required for Math I has been designed to reflect the new standards. Additionally, the Georgia High School Graduation Test that the 2008-2009 freshmen will be administered will be redesigned to reflect these new standards as well. While some systems have chosen to use different course names or adopt different textbooks, one thing is certain – all students in Georgia will be held to these new standards. With this being the first year that the Math I/Accelerated Math I courses have been taught in Georgia, the standards cannot be compared to other math programs or textbooks that may have been implemented. FCS is committed to high levels of student performance. Therefore, the choice not to teach the state curriculum would place our students at a disadvantage. Our leaders and teachers have outlined a proactive plan for monitoring the curriculum implementation and will go to great lengths to support our teaching professionals and students. Updated 9/12/08 7. Where can I go to get more information? Recognizing our parents are partners in any academic endeavor, we have compiled many different resources for your information as well as those that can assist you in supporting your student this year. A. FCS has designed a Math Parent Page to provide an overview of the new Georgia math standards and links to support materials. Go to > District Departments > Academics & Accountability > Curriculum and Instruction > Mathematics B. You can find the math standards and the state math tasks at Click on MATHEMATICS and then click on Math Frameworks to find the tasks and units. C. You can find Parent Information Letters from Georgia Tech at D. You can find the Carnegie Math Textbook online at Find the Georgia resources. All students have access through their classroom teacher. E. You can find more information from the Georgia Department of Education at This site includes a special section for parents, links to the online assessment system, and videos of standardsbased middle school and high school classrooms. This site also links to national research on the teaching and learning of mathematics, including the National Math Panel report. F. You can enroll your child in a Georgia Virtual School Help course at spx. There is a course for 8th grade remediation for our students who skipped 8th grade math and there is online help to support Math I and an online course for students who just moved into Georgia and are entering Math I not having had the middle school curriculum. Updated 9/12
Addendum to Course Description Students will be evaluated not only on their ability to get correct answers and perform correct steps, but also on the accuracy of the presentation itself. , Application problems must be answered in complete sentences. , Intended Outcomes for the course Upon successful completion students should be able to: , Choose and perform accurate arithmetic computations in a variety of situations with and without a calculator. ,Creatively and confidently apply mathematical problem solving strategies. ,Meet the prerequisite for future course work. Outcome Assessment Strategies 1. The following must be assessed in a proctored", closed-book, no-note, and no-calculator setting: basic arithmetic with fractions, decimals, and signed numbers, and order of operations. , 2. At least two proctored", closed-book, no-note examinations (one of which is the comprehensive final) must be given. These exams must consist primarily of free response questions although a limited number of multiple-choice and/or fill in the blank questions may be used where appropriate. , 3. Assessment must include evaluation of the student€™s ability to arrive at correct and appropriate conclusions using proper mathematical procedures and proper mathematical notation. Additionally", each student must be assessed on their ability to use appropriate organizational strategies and their ability to write conclusions appropriate to the problem. , 4. At least one of the following additional measures must also be used ,, Take-home examinations , Graded homework , Quizzes , Projects , In-class activities , Portfolios , Writing assignments , Course Content (Themes, Concepts, Issues and Skills) THEMES: ,, Mathematical vocabulary , Number sense , Computational proficiency , Critical thinking , Appropriate use of technology , Team work ,, SKILLS: ,, ORDER OF OPERATIONS, , Vocabulary (Define and use), , Grouping symbols , Exponents , Square roots (perfect squares) , , , , , SIGNED NUMBERS, , Vocabulary (Define and use), , Absolute value , Opposite vs. negative vs. minus (subtract) , , , Number sense, , Compare signed numbers using inequality and equality notations , Place signed numbers on a number line , , , Computation, , Add", subtract, multiply, and divide signed numbers , Simplify signed numbers to exponents , , , Order of operations with signed numbers , Applications with signed numbers , , , FRACTIONS, , Vocabulary (Define and use), , Proper fractions", improper fractions, mixed numbers , Reciprocal , Prime number , Composite number , Divisibility Rules 2",3,5,9, and 10 , , , Number Sense, , Compare fractions using inequality and equality notations , Place signed fractions on a number line , , , Computation, , €‹Add", subtract, multiply, and divide signed fractions , , , Order of operations with fractions , Applications involving fractions, , Write answers to application problems as complete sentences and using proper units , Ratios and rates , , , , , DECIMALS, , Vocabulary (Define and use), , Place values , Powers of ten , Terminating", repeating and non-terminating , , , Number sense, , Compare decimals using inequality and equality notations , Place signed decimals on a number line , Rounding decimals , , , Computation, , Add", subtract, multiply, and divide signed decimals , Convert between fractions and decimals , , , Order of operations with decimals, , Round at the end of the calculation , , , Applications, , Write answers to application problems as complete sentences and using proper units , Rates and ratios , Unit rate and unit price , , , , , PROPORTION AND PERCENT, , Vocabulary, , Proportion , Percent , , , Number sense, , €‹Convert between fractions", decimals, and percents , , , Computation, , Solve proportion problems for missing value , Solve percent problems , , , Applications, , Write answers to application problems as complete sentences and using proper units , Identify and solve problems that involve reasoning about proportions , Solving percent increase and percent decrease problems , , , Technology , , , GRAPHS, , Introduce", read and interpret graphs , , , FORMULAS AND CONVERSIONS, , Perimeter and area of rectangles", squares and triangles , Computing mean", median, and mode , Introduce unit conversions within each measurement system , Money", $0.35 vs. 35¢ (students often write 0.35¢) , , ,, ADDENDUM: , , Prerequisites - , The students in this course come from mathematically diverse backgrounds", from those who need a refresher and decide to start at the beginning, to those who have never been successful at mathematics. , , Intended Course Goals €" , Mth 20 is a review of arithmetic skills and provides a good foundation for students to take Mth 60", beginning algebra. Beginning algebra students often encounter difficulty operating with fractions and negative numbers, resulting in the need to take Mth 20. Thus, it would be beneficial to incorporate these topics throughout the course, whenever possible, so that students have ample exposure. This will lead to greater success in Mth 60. , When performing addition and subtraction operations with fractions (not mixed numbers) traditionally students perform the operations in a vertical format. This format however does not serve them at all in algebra", in which many cases the work is shown horizontally. Thus, to help students prepare for algebra, it is suggested that we have students perform computations in a horizontal format also. , Vertical Format Horizontal Format , , , , The Mathematics SAC recognizes that how one presents the steps to a problem that lead to the desired goal is as important as the answer itself. We want all of our students to recognize this fact; thus an instructor will need to emphasize the importance of how to write mathematics properly. All students in a Math 20 course should consistently write proper mathematical steps; students must adhere to correct use of syntax. A portion of the grade for any problem", when applicable, should be based on mathematical syntax.
Book This book gives you insight into teaching mathematics without memorization of algorithms. It explains how children learn math and apply their own algorithms to the learning process to understand math in depth.
Engineering Mathematics, 5 Edition Book Newnes \| 2007 \| ISBN: 0750685557 \| 584 pages \| PDF \| 3,8 MB John Bird's approach to mathematics, based on numerous worked examples supported by problems, is ideal for students of a wide range of abilities. Theory is kept to a minimum, with the emphasis firmly placed on problem-solving skills, making this a thoroughly practical introduction to the mathematics engineering students need to master. The book presents a logical topic progression, rather than following the structure of a particular syllabus and is suitable for all Level 3 vocational students and first year undergraduates in Engineering. However, coverage has been carefully matched to the mathematics units within the 2007 BTEC National specifications. In this fifth edition, new material on inequalities and differentiation of parametric equations, implicit and logarithmic functions as well as an introduction to differential equations has been added. The book now also includes two new revision tests and even more problems for students to work through.
The content of Algebra 1 is organized around families of functions, with special emphasis on linear and quadratic The content of Algebra 1 is organized around families of functions, with special emphasis on linear and quadratic functions. In addition to its algebra content, Algebra 1 includes lessons on probability and data analysis as well as numerous examples and exercises involving geometry. 1 In addition to its algebra content, Algebra 2 includes lessons on probability and data analysis as well as numerous examples and exercises involving geometry and trigonometry. These math topics often appear on standardized tests, so maintaining your familiarity with them is important. To help you prepare for standardized tests, Algebra 2 In addition to its algebra content, Algebra 2 includes lessons on probability and data analysis as well as numerous examples and exercises involving geometry and trigonometry. Geometry: Concepts and Skills has been written so that all students can understand geometry. The course focuses on the key topics that provide a strong foundation in the essentials of geometry. Lesson concepts are presented in a clear, straightforward manner, supported by frequent worked-out examples. The page format makes it easy for students to follow the flow of a lesson, and the vocabulary and visual tips in the margins help students learn how to read the text and diagrams. Checkpoint questions within lessons give students a way to check their understanding as they go along. The exercises for each lesson provide many opportunities to practice and maintain skills, as well as to apply concepts to real-world problems. The content in the book is organized around families of functions, including linear, quadratic, exponential, logarithmic, radical, rational functions and includes lessons on probability and data analysis. McDougal Littell Middle School Math will help you be successful in this course. The clearly written lessons with frequent step-by-step examples make even difficult math concepts and methods easier to understand. The number and variety of problems, ranging from basic to challenging, give you the practice you need to develop your math skills. This book will also help you develop your notetaking and problem-solving skills. Look for notetaking strategies and Help Notes that support problem solving, vocabulary, reading, homework, technology, and review. To help you get ready for tests, there are test-taking strategies and test-taking practice exercises throughout the book. Enjoy the Brain Games -- they will challenge your thinking skills
First blog, for this series of blogs on Edexcel Alevel Mathematics. This blog will contain a small introduction to the course and which modules it consists of. This blog shall also contain the first module (C1),(C2). Thursday, 5 January 2012 C2 - Introduction C2 is the second module, of the Alevel Maths which is core. It is in my opinion the hardest module of AS, for Edexcel, it is one of the longer modules of the whole course.The topics are : Trigonometry - Sine and Cosine Rule, Area of Triangle, Radians, Arc length, area of a sector and segment, Sin,Cos and Tan Graphs, Use of Trig. Identities, Solving simple equations. Integration - Indefinite Integration, Evaluation of definite integrals, Finding area of a region bounded by a curve and line,. Trapezium Rule. There is alot of new content, and alot which is expanded from the topics learnt in C1. To Achieve a top grade, you should ensure you can apply everything used in C1, these modules are synoptic, and they can ask you a c1 question in c2, or ask a question which relates to c1 content. 1 comment: Aw, this was an extremely good post. Taking the time and actual effort to create a really good article… but what can I say… I procrastinate a whole lot and never manage to get anything done. Feel free to surf my blog : Real Casino Slots
Mathematics Enrichment Program The Mathematics Enrichment Program (PDF107KB) has been offered by the University of Southern Queensland since 2007 and is a structured program designed to improve mathematical problem solving skills in gifted high-school students who display aptitude for mathematics beyond what is offered in the standard high school currirculum. Such students could potentially benefit from exposure to more problem solving techniques not traditionally offered. Program Aims Encourage further study in mathematics; Challenge students; Help students perform at a high level in mathematics competitions. Who can attend? The program is aimed to suit the mathematical ability of Year 9 and 10 students. Please note that the proposed topics for discussion may not necessarily be offered on the date listed. Presenters Presenters will include Linda Galligan, Brad Carter and Ron Addie who are staff from the Department of Agricultural, Computational & Environmenta Sciences at USQ; Ashley Plank past member of the Department of Mathematics & Computing who now works as a consultant in statistics for medical research; Tim Dalby from Open Access College at USQ; and Bob Nelder, previous Head of Mathematics at Mt Lofty State High School and past president of TMTA. We look forward to creating a lively and fun Mathematics Enrichment program. This file is in Portable Document Format (PDF) which requires the use of Adobe Acrobat Reader. A free copy of Acrobat Reader may be obtained from Adobe . Users who are unable to access information in PDF should contact sciences.engage@usq.edu.auto obtain this information in an alternative format.
• Number sense and operations • Patterns, ... More About This Book • Number sense and operations • Patterns, relations, and algebra • Geometry and measurement • and Data analysis, statistics, and probability. The manual is filled both with example problems and practice problems that reflect the test's format and style, plus two full-length practice MCATs with all questions answered
MATH 084Learning Strategies for Math Success• 3 Cr. Department Division Description: Through small group interactions and tutoring, Math 094 builds confidence in students who have struggled trying to learn mathematics. Math 094 facilitates the understanding of math concepts, learning effective study skills, and overcoming math anxiety / avoidance. Math 084 students must be simultaneously enrolled in a mathematics course numbered below 100. Prerequisite: Entry code. . Outcomes: After completing this class, students should be able to: After completing this course, students should be able to 1. Recognize how their attitude toward math affects their learning 2. Identify defeating / negative thinking and overcome these with empowering thoughts 3. Confidently exchange math knowledge as a productive member of math learning community in a small group setting 4. Identify the combination of study techniques and test taking strategies that they need to be successful in math classes
Construct a consistent vocabulary of problems that can begin in Algebra 1 and extend through to Calculus, Statistics, and all courses in between. The problems must have the potential to be engaging to learners. The problems must hit at least 4 of the eight Mathematical Practices & high school math standards (CCSS). My idea started with this idea for Algebra 2: Model the escape velocity of a rocket on the Moon and the Earth. ( PDF and Word DOCX) This ended up being a far more difficult task than I expected, mainly because the learners did not connect the idea of writing the equation of a line with the fact we had a function in front of us. I Desmosed the project for a visual display, and we spent another day discussing it and achieved the goal. [Is it okay to use the name as a verb? I don't care, I am doing it anyway.] It turned out great in the end, but it made me start thinking hard about how to connect Algebra 1 through Calc and Stats and make the ideas more real, more understandable, and more connected. From there came the idea of using an "off the shelf" structure in a new or different manner to extend the lessons. Enter . Dan Meyer started the Graphing Stories with a long time ago, and they are awesome. But they also fit the idea of using the video / graph combination to write the equations of lines and finding area under the curves. Notice that the line does not go through exactly all 4 points! That allows for discussion of variability and observation skills. I also used the (h, k) form to write the function f(x) because it is the easiest way to show the line. What does the slope MEAN? A standard AP Statistics interpretation is: As the time increases by 1 second, the water increases by 40.67ml. Next, find the area under the curve. Move the slider for "b" to the right and you see the area highlighted. Okay, standard triangle, ½ bh, and you get 5205.33 mlsec. ??? What does that even mean? It is called "absement" and it is the time-integral of displacement. Yes, we don't need to discuss that for Algebra 1, but as teachers we should know it. The area is the sum of all the instantaneous moments of water before. With the Desmosed file, you can see and clearly communicate what it means. It means that you are adding up the area of the little triangle when b=1 with the larger triangle when b=1.5, and then with b=2, etc. Except the area is the sum of the instantaneous areas, not the discrete areas. Notice that this one lesson required the learner to interpret a real life action, pouring water, into a graph, and then find the slope and write the equation of a line, and then interpret the slope, and then find the area under the curve. These are all essential skills of the Calculus learner, done at the Algebra 1 level! Now we are removing cups from a scale. There are actually several questions that the video brought to my mind, like is this really a continuous line, or should it be more discrete? Time is continuous, but the weights really are stepped. But, I left it as is though because I wanted to not change it from what the video shows. That is a larger conversation in class. We now have a negative slope to calculate, which does not really make a huge difference for interpreting the slope: As the time increases by 1 second, the weight of the cups decreases by 3 grams. The fact the line only hits 1 point absolutely creates some conversation about which point to pick, variability, ect. The area gets fun, however. Notice that the FULL area is still a triangle. However, if you move the "b" slider across, you notice the partial areas, the area at 5 seconds, 8 seconds, etc, are trapezoids! Now the learner can be challenged and pushed to incorporate some extra questions of find the area of trapezoids. We still are doing and absement calculation and not a displacement calculation. Finally, the Desmosed Lunar Modeling I started with: It is far more complex and involved, but that is why it is an Algebra 2 lesson and not an Algebra 1 lesson. I am trying to come up with ways to connect the ideas of Statistics and Calculus down through the curriculum in all levels, even into Algebra 1. I think I have a way to do it that makes partial sense and can be done with reasonable effectiveness, but I have an interpretation problem. If anyone can see a way out of it at the end, please let me know in the comments. First off, I started with and selected the water volume exercise. My reasons are focused and simple. 1. It is linear, so it works well in the algebra 1 course during the first semester. 2. Finding the slope of the line is straightforward, and requires some transfer of skills, but not a lot of transfer. 3. The area part of it is just a triangle, so the math is not complex. I am trying to build from simple through the more complex, so starting off simple is helping me wrap my brain around it. So, I start with this video: You end up with a graph that looks like this (click to enlarge): Great, now for some math. Find the rate of change of the line: Best guess: (610ml – 0ml)/(15 sec-0sec) = 40.67 ml/sec. What does that mean? As the seconds increase by 1, the water volume increases by 40.67 ml. The equation of the line is milliliters= 40.67 ml/sec * seconds + 0. So far so good. The interpretation of everything so far makes complete sense. It is attainable for algebra 1 or geometry, and has meaning in context of the video. So I want to inject a little geometry into the problem and I find the area under the curve. No big deal, it is a triangle, so it is 1/2610 ml 15sec = 4575 mlsec. What does that even mean? Does it have a meaning? Am I doing something that should not be done? What does a value of 4575 mlsec even mean? It is not the total volume, that is 610 ml. It is not the sum from 1 to 610, that is 186,355 according to wolframalpha. In calculus, we find the areas under curves all the time, but they are specific types of curves. We find the area and it is the displacement, or it is the total distance. But does this area have a context or meaning? I really would like to figure out a way to make sense of this, but if there is not a way, then I will have to go back to the drawing board. I am soon to be embarking on a new direction / undertaking in my professional career, and in doing so will need to seriously delve into the realm of research and resources. Starting this summer, I am beginning a Ph.D. in Mathematics Education at the University of Reno, NV in the Math, Science, Technology and Society area of emphasis. As a high school math teacher I need to be an expert in CCSSM. As a Ph.D. student I MUST, without question be an expert in CCSSM. To that end and because I have always been interested in research, I am going to compile lots of CCSSM resources and create a page here to house the ongoing collection. The page can be found here: or at the top of the page. [I really need to return to blogging. My lack of focus on reflection has hampered me this semester, and I need to fix that. To that end, I am making a commitment to blog and to jog. Those are the foci this year of the ellipse that is my world.] Yea, how often does that happen that a class gets excited about logs? It has not happened to me in several years, but this year I found a way. We started the second semester with graphing again. We have a standard list of things we look for, identify, and document on every single graph. The list is: Domain: Range: Asymptototes (vertical and / or slant): Minimums: Maximums: Vertex: Y-intercept: X-intercept: End state behavior: Every graph we do, we have to document all of these items. If we graph a line, most of the list is "none" but it creates the connection between all the graphs. Every graph has the same questions, it is just that some of the graphs / functions do not have those features. So, I am doing this file on Desmos, and we are documenting. They have done all these as homework, so really we are checking answers and ensuring learning. Then weird things happen. They notice the symmetry of the inverses. Nice. Then they ask to see the graph of the line of symmetry. Even nicer. THEN! OMG. We put the translation into the h-k form of the line, and we see the translation of the line of symmetry. [Okay, seriously. If you are not using the h-k forms to make connections, why not. See This post, or This post or any other of the several posts I have on this topic.] And then I graph the exponential. …. …. They know there must be an inverse, but nothing we have done in class looks like that. …. And then, because I have the list of all the h-k forms on the board, someone asks, "Is that what the log thingy is for?" And now they have a reason to learn logs. They are intrigued by logs. They are asking questions about logs. Because EVERYTHING in math has a forwards and a backwards, addition has subtraction, squares have square roots, and exponentials have logarithms. They are interested and inquisitive about a topic that normally is not approached this way. I have done something good I think. Only time will tell if I can continue that on this topic. Introduction I am a math teacher in search of better teaching and success with my learners. Sometimes I find it, sometimes I don't. Technology is a passion of mine, and I share that often with my learners as well. Feel free to visit my website,
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----------------------------------------SD Installation supportPERMISSIONS:============Why READ_PHONE_STATE / CHECK_LICENSE permissions?The application verifies it has been been purchased using google licensing library (CHECK_LICENSE). Google recommends to use the telephone identifier (READ_PHONE_STATE) to avoid piracy. Not used for anything else
More About This Textbook Overview New York Algebra 1 is the first of three books in Glencoe's New York High School Mathematics Series. This series offers complete coverage of New York's Mathematics standards, strands, and performance indicators. As students learn to integrate a comprehensive array of tools and strategies, they become proficient in mastering concepts and skills, solving problems, and communicating mathematically. This series of books helps your students identify and justify mathematical relationships; acquire and demonstrate mathematical reasoning ability when solving problems; use visualization and spatial reasoning to analyze characteristics and properties of geometric shapes; and succeed on the Regents Examin
Course Descriptions Essential Algebra I prepares the student for the study of algebra. Numerical topics include operations with numbers; simple powers and roots; factoring of natural numbers; properties and order of operations; and real numbers. The course introduces basic algebraic ideas as well as graphing in the rectangular coordinate plane. Problem solving is stressed throughout the course. PR: recommendation based on placement test or equivalent SCCC courses below the 100-level are developmental in nature and the 3 credit equivalents do not satisfy degree or certificate progam requirements. All deveopmental courses are offered on a pass/fail basis. MAT095 Essential Algebra II (3-0-3) Essential Algebra II is a basic course in algebra. Topics include linear equations in one and two variables, graphing solutions of equations, polynomials and factoring, rational expressions and equations, and quadratic equations. PR: MAT 085, Equivalent preparation, or placement test scores SCCC courses below the 100-level are developmental in nature and the 3 credit equivalents do not satisfy degree or certificate progam requirements. All deveopmental courses are offered on a pass/fail basis. MAT118 Technical Math (3-0-3) MAT126 Descriptive Statistics (3-0-3) This practical statistics course focuses on simple statistical presentations common to a variety of career fields. The course will include the following topics: descriptive vs. inferential statistics, organizing data, measures of central tendency, measures of variation, measures of the position, the normal distribution with applications, linear correlation, and regression. PR: CSS 120 or equivalent Note: Credit for this course does not satisfy the A.A. or A.S. degree program requirements MAT128 Algebra I (3-0-3) This course focuses on the real number system, polynomials, solving first degree linear equations, solving linear inequalities in one variable, the Cartesian Coordinate System, graphing linear equations by point plotting, slope, equations of lines in general form and in slope-intercept form, factoring polynomials, solving polynomial equations by factoring and the zero property, rational expressions, integer exponent and problem solving. PR: CSS 120 or equivalent F,S Note: Credit for this course does not satisfy the A.A. or A.S. degree program requirements MAT129 Algebra II with Trigonometry (4-0-4) This course focuses on functional notation, linear functions, absolute value functions, quadratic functions and equations, other basic algebraic functions and the graphs of those basic algebraic functions with the translations of those graphs. Also included are linear equations and inequalities, methods of solving polynomial equations, the basics of radicals and rational exponents, the basics of exponential and logarithmic functions and their graphs, geometry, and right triangle trigonometry. PR: MAT 128 F,S Note: Credit for this course does not satisfy the A.A. or A.S. degree program requirements MAT145 Mathematical Topics (3-0-3) This course is designed to acquaint the student with various areas of mathematics. Topics may include mathematical systems, groups, logic, truth tables, Euclidean and non-Euclidean geometries, probability, statistics, and modeling with linear, quadratic, exponential, and logarithmic functions. PR: MAT 129 or equivalent This course introduces the student to mathematical modeling and traditional topics of finite math with applications to business, economics, social sciences, and/or life sciences. Topics may include linear, quadratic, polynomial, exponential, and logarithmic functions as well as mathematics of finance, linear programming, matrices, probability, probability distributions, games and decisions. PR: MAT 129 or equivalent This course, in the calculus of a single variable, includes, but is not limited to, the following topics: limits, continuity, derivatives of algebraic functions, formulas for differentiation, implicit differentiation, related rates, the Mean Value Theorem, applications of differentiation such as curve sketching and optimization problems, antiderivatives, the definite integral, the Fundamental Theorem of Calculus, and applications of integration such as area and average value. Also included are the integration and differentiation of logarithmic, exponential, and trigonometric functions. PR: MAT 167 or four years of high school mathematics including trigonometry and precalculus, or consent of the department. F,S MAT181 Calculus II (4-0-4) This course, in the calculus of a single variable, concerns recognizing, analyzing, and calculating problems in the following topic areas: the calculus of inverse trigonometric functions, integration techniques, application of the integration, L'Hopital's Rule, improper integrals, infinite sequences and series, plane curves, parametric equations, polar coordinates, and polar curves. PR: MAT 180 F,S MAT210 Discrete Structures: Logic & Proof (3-0-3) MAT240 Calculus III (4-0-4) Topics covered in this course include three- dimensional analytic geometry, vectors, calculus of functions of several variables, partial differentiation and multiple integration. Additionally, The Fundamental Theorem of Line Integrals and Green's Theorem, as well as vector fields are covered. PR: MAT 181
Mathematica for Students 5 Offers All the Power of Mathematica at a Special Student Price July 28, 2003--Mathematica for Students 5 is now available, giving students access to the latest Mathematica technology at a special low price. Mathematica for Students 5 contains all of the same innovative features and functionality as Mathematica 5, the new high-performance version of Wolfram Research's award-winning technical computing software that is part of the information infrastructure at top universities, leading corporations, and government organizations worldwide. Mathematica for Students 5 surpasses other educational computing software with its unique combination of speed, functionality, and ease of use. A new quick-start interactive tutorial will help students familiarize themselves with Mathematica, while key new technologies deliver tremendous performance improvements and further extend the scope of Mathematica's already broad capabilities. Numerical computations in Version 5 are vastly faster than in earlier versions, meaning that students will be able to complete their assignments in less time than ever before. Mathematica for Students 5 can also tackle significantly larger, more challenging and computationally intensive problems, giving students a virtually limitless environment in which to experiment and do their work. "Mathematica 5 is a much more powerful program. It represents the state of the art in numerical and symbolic algorithms and, as a result, runs like greased lightning," says Joanne Mason, Director of Math Studies at the prestigious Harker School, located in California's Silicon Valley. "Our students use Mathematica extensively in all math classes from precalculus on, as well as in many of our upper-level science and computer science courses." With over 2,500 functions for technical computation, Mathematica for Students is suitable for all levels and fields of study from high school through graduate school, including computer science, economics, engineering, mathematics, the physical sciences, and statistics. With Mathematica for Students, students can: Perform all of the symbolic and numeric calculations needed for their classes In addition to adding extensive new functionality, Mathematica for Students 5 provides enhancements to its uniquely productive programming language and publication-quality technical word processing. Extensive integration with other software and standards also makes Mathematica for Students ideal for use in conjunction with other tools, including Wolfram Research's other educational products such as Mathematica Teacher's Edition, Calculus WIZ, and The Mathematical Explorer. Using Mathematica for Students in their studies will help students develop skills that will be needed throughout their educational careers and that are sought by future employers. "Mathematica can take the pain out of the 'brute-force' calculations that often overshadow the ideas that students need to learn," says Barry Cherkas, Professor of Mathematics at CUNY's Hunter College, which operates under a systemwide Mathematica license. "It permits us to aim for a higher level of mathematical sophistication than is otherwise possible without this technology."
Signals & Systems: Continuous and Discrete, 4e Suited for junior-level electrical engineering curricula, this book stresses the systems approach while providing studnets with the tools and techniques for understanding and analyzing both continuous-time and discrete-time linear systems. The book assumes the background of mathematics through differential equations and the usual introductory circuit theory course or courses. Many examples based on traditional circuit theory are included in the book to illustrate the various systems analysis techniques that are introduced. The first seven chapters deal with continuous-time linear systems in both the time domain and the frequency domain. The remainder of the book deals with discrete-time systems, including z-transform analysis techniques, digital filter analysis and synthesis, and the discrete Fourier transform and fast Fourier transform algorithms. MATLAB is used for solving many of the in-chapter worked examples, exercises, and problems.
Thinking Mathematically - With 2 CDs - 4th edition Summary: This general survey of mathematical topics helps a diverse audience, with different backgrounds and career plans, to understand mathematics. Blitzer provides the applications and technology readers need to gain an appreciation of mathematics in everyday life. Demonstrates how mathematics can be applied to readers' lives in interesting, enjoyable, and meaningful ways. Features abundant, step-by-step, annotated Examplesthat provide a problem-solving approach to reach the ...show moresolution; annotations are conversational in tone, explaining key steps and ideas as the problem is solved. Begins each section with a compelling vignette highlighting an everyday scenario, posing a question about it, and exploring how the chapter section subject can be applied to answer the question. A highly readable reference for anyone who needs to brush up their mathematics skills. ...show less Good A good reading copy in clean condition. All pages are intact, and the cover is intact (including dust cover, if available). The spine may show signs of wear. Pages can include limited notes and...show more highlighting, and the copy can include "From the library of"14
College Algebra : Concepts and Models - 5th edition Summary: College Algebra: Concepts and Models provides a solid understanding of algebra, using modeling techniques and real-world data applications. The text is effective for students who will continue on in mathematics, as well as for those who will end their mathematics education with college algebra. Instructors may also take advantage of optional discovery and exploration activities that use technology and are integrated throughout the text. The Fifth Edition en...show morehances problem solving coverage through Make a Decision features. These features are threaded throughout each chapter, beginning with the Chapter Opener application, followed by examples and exercises, and ending with the end-of-chapter project. This edition also features Eduspace, Houghton Mifflin's online learning tool, which allows instructors to teach all or part of a course online, and provides students with additional practice, review, and homework problems. A brief version of this text, College Algebra: A Concise Course, provides a shorter version of the text without the introductory review. New! Make a Decision features thread through each chapter beginning with the Chapter Opener application, followed by examples and exercises, and ending with the end-of-chapter project. Students are asked to choose which answer fits within the context of a problem, to interpret answers in the context of a problem, to choose an appropriate model for a data set, or to decide whether a current model will continue to be accurate in future years. The student must examine all data and decide upon a final answer. Chapter Projects extend applications designed to enhance students understanding of mathematical concepts. Real data is previewed at the beginning of the chapter and then analyzed in detail in the Project at the end of the chapter. Here the student is guided through a set of multi-part exercises using modeling, graphing, and critical thinking skills to analyze the data. A variety of exercise types are included in each exercise set. Questions involving skills, modeling, writing, critical thinking, problem-solving, applications, and real data sets are included throughout the text. Exercises are presented in a variety of question formats, including free response, true/false, and fill-in the blank. New! "In the News" Articles from current media sources (magazines, newspapers, web sites, etc.) have been added to every chapter. Students answer questions that connect the article and the algebra learned in that section. This feature allows students to see the relevancy of what they are learning, and the importance of everyday mathematics. Discussing the Concept activities end most sections and encourage students to think, reason, and write about algebra. These exercises help synthesize the concepts and methods presented in the section. Instructors can use these problems for individual student work, for collaborative work or for class discussion. In many sections, problems in the exercise sets have been marked with a special icon in the instructor's edition as alternative discussion/collaborative problem. Discovery activities provide opportunities for the exploration of selected mathematical concepts. Students are encouraged to use techniques such as visualization and modeling to develop their intuitive understanding of theoretical concepts. These optional activities can be omitted at the instructor's discretion without affecting the flow of the material. 2006 Hardcover New Book New and in stock. 7/5201.00 +$3.99 s/h New Textbookcenter.com Columbia, MO Ships same day or next business day! UPS(AK/HI Priority Mail)/ NEW book $242.26 +$3.99 s/h New PaperbackshopUS Secaucus, NJ New Book. Shipped from US within 4 to 14 business days. Established seller since 2000 $248.73 +$3.99 s/h New indoo Avenel, NJ BRAND NEW $279.45 +$3.99 s/h New Lyric Vibes Geneva, IL Hardcover New 061849281X New Condition ~~~ Right off the Shelf-BUY NOW & INCREASE IN KNOWLEDGE... $284.39 +$3.99 s/h New PROFESSIONAL & ACADEMIC BOOKSTORE Dundee, MI 061849281285.52
Summary: This best-selling K to 8 math methods text has the most coverage of NCTMs principles and standards, the strongest coverage of middle school mathematics and the highest student approval of any other text on the market. Elementary and Middle School Mathematics provides an unparalleled depth of ideas and discussion to help students develop a real understanding of the mathematics they will teach. John Van de Walle is one of the foremost experts on how children...show more learn mathematics, and 80 percent of students keep his book for reference when they enter the classroom. The text reflects the NCTM Principles and Standards and the benefits of constructivist, or student-centered, mathematics instruction. Moreover, it is structured for maximum flexibility, offering 24 brief, compartmentalized chapters that may be mixed and matched to fit any course or teaching approach. Features Four-color design. Stronger coverage of middle school mathematics topics than any other book on the market. The most coverage of the 2000 NCTM's Principles and Standards on the market. This text provides a textual discussion (Ch.1), the actual Content and Teaching standards (App. A, B), and references throughout the text, denoted by a (NEW!) NCTM marginal icon. The numerous activities found in every content chapter are problem-based tasks that engage students in doing mathematics. The activities help make this book a resource as well as a textbook. Widely admired pedagogy includes Big Ideas, which provide clear and succinct exploration of the most critical concepts in mathematics; Literature Connections that offer strategies for teaching math through specific children's literature; and Assessment Notes that show how assessment is an integral part of instruction. TECHNOLOGY ADVANTAGE--Technology Notes in every chapter provide a focused discussion of how computer software can help (or hinder!) mathematics teaching. New To This Edition NEW! Content Connections feature in the content chapters includes brief descriptions of other content areas in mathematics that are related to the content of the current chapter. These highlight the connections between content topics. NEW! NCTM icons appear in nearly every chapter and point explicitly to the alignment of this book with the NCTM Principles and Standards through excerpts and commentary. NEW! "Investigations in Number, Data, and Space and Connected Mathematics" features spotlight two examples of popular reform curricula for the K-5th and 5th-8th grade markets, respectively. These reform curricula excerpts occur in nearly every chapter in Section 2 and include an actual activity and provide a description to acquaint students with these materials, reflecting the spirit of the NCTM Standards and the constructivist theory in the book. NEW! "Stop and Reflect" features indicate places throughout the book to pause and become truly engaged with an idea. NEW! Field Guide for Students features reproducible handout masters, grids, questionnaires, activities, and other resources students can use during their field experiences. REVISED! The inclusion chapter (Ch. 7) has been thoroughly revised and enhanced to include more in-depth coverage of multicultural issues and ethnomathematics, as well as other issues related to special needs. REVISED! The technology chapter (Ch. 8) has been enhanced to show the most cutting-edge technology for elementary mathematics teaching, including online tools, such as NCTM's e-standards, and available computer programs and electronics. REVISED! The geometry chapter (Ch. 20) is completely revised to reflect the four goals of the NCTM Standards--Shapes and Properties, Transformations, Location, and Visualization. 1. Teaching Mathematics in the Context of the Reform Movement. 2. Exploring What It Means to Do Mathematics. 3. Developing Understanding in Mathematics. 4. Teaching Through Problem Solving. 5. Building Assessment into Instruction. 6. Planning in the Problem-Based Classroom. 7. Teaching All Children Mathematics. 8. Technology and School Mathematics.3.99 +$3.99 s/h Acceptable Borgasorus Books, Inc. MO Wentzville, MO PAPERBACK Fair 020538689X4.99 +$3.99 s/h Acceptable Once Upon A Time Books AR Tontitown, AR 2003
Questions About This Book? The Used copy of this book is not guaranteed to inclue any supplemental materials. Typically, only the book itself is included. Summary You can succeed in math with the clearly explained concepts, problem-solving strategies, and study skills help found in Basic College Mathematics, Third Edition by Elayn Martin-Gay. Good study skills are essential to your success in mathematics. This text features Study Skill Builders to help make sure you are getting the most from the time you spend doing homework and studying.
Teaching Secondary Mathematics, Third Edition is practical, student-friendly, and solidly grounded in up-to-date research and theory. This popular text for secondary mathematics methods courses provides useful models of how concepts typically found in a secondary mathematics curriculum can be delivered so that all students develop a positive attitude... more...
9780534495015 ISBN: 053449501X Pub Date: 2005 Publisher: Brooks/Cole Summary: An increasing number of computer scientists from diverse areas are using discrete mathematical structures to explain concepts and problems. Based on their teaching experiences, the authors offer an accessible text that emphasizes the fundamentals of discrete mathematics and its advanced topics. This text shows how to express precise ideas in clear mathematical language. Students discover the importance of discrete ma...thematics in describing computer science structures and problem solving. They also learn how mastering discrete mathematics will help them develop important reasoning skills that will continue to be useful throughout their careers. Schlipf, John is the author of Discrete Mathematics For Computer Science With Student Solutions Manual on CDROM, published 2005 under ISBN 9780534495015 and 053449501X. Six hundred seven Discrete Mathematics For Computer Science With Student Solutions Manual on CDROM textbooks are available for sale on ValoreBooks.com, one hundred thirty nine used from the cheapest price of $4.49, or buy new starting at $42
0470108770Designed for the newest version of the popular MATLAB software program, MATLAB: An Introduction with Applications, 3/e requires no previous knowledge of computer programming. The first chapter describes basic features of the program and shows how to use it in simple arithmetic operations with scalars. The next two chapters focus on the topic of arrays (the basis of MATLAB), while the remaining text covers a wide range of other applications. Computer screens, tutorials, samples, and homework questions in math, science, and engineering, provide the student with the practical hands-on experience needed for total proficiency. Related Subjects Meet the Author Amos Gilat, Ph.D., is a Mechanical Engineering Professor at the Ohio State University. Dr. Gilat's research has been supported by the National Science Foundation, NASA, FAA, Department of Energy, Department of Defense, and various
Maple's syntax-free Clickable Math will be used to explore topics from basic algebra, trigonometry, and "precalculus." So, algebraic and trigonometric equations will be solved, graphs will be drawn, the binomial theorem explored, induction illustrated, etc., all without having to grapple with the syntax of a programming language, all with syntax-free Clickable Math. Interwoven in the demonstrations is the pedagogical principle of "resequencing skills and concepts" whereby insights, understanding, and conceptual mastery receive first attention through the process of obtaining a Maple solution, exploring that solution, and then using Maple to implement the steps of the algorithm leading to that solution. This sets the "big picture" and shows where the details fit in, thereby motivating and enlightening students on the acquisition of the requisite manipulative skills. Clickable Calculus™, the idea of powerful mathematics delivered using very visual, interactive point-and-click methods, responds to the most common complaint of faculty who integrate software into the classroom – time is spent teaching the tool, not the concepts. The ease-of-use features supporting Clickable Calculus flatten the learning curve so the emphasis is on the math, not on the tool. Dr. Robert J. Lopez, Emeritus Professor of Mathematics at the Rose-Hulman Institute of Technology in Terre Haute, Indiana, USA, is an award winning educator in mathematics and is the author of several books, including Advanced Engineering Mathematics. For over two decades, Dr. Lopez has also been a visionary figure in the introduction of math technology into undergraduate education and has received awards for View Webinar Fill out the form below to view the webinar "Algebra, Trig, and Precalculus Math – All by Syntax-Free Maple
Numerical Methods Numerical Methods for Scientists and Engineers 2nd edition by R. W. Hamming provides detailed guidelines to use worksheet functions to work with matrix to find roots of equations and solve systems of simultaneous equations and solve ordinary differential equations and partial differential equations For this book, the author has extensively rearranged, rewritten, and enlarged the material. It is unique in its emphasis on the frequency approach and its use in the solution of problems. It also presents the fundamentals of numerical methods with emphasis on the most essential and widely used methods. Students enhance their programming skills using the MATLAB environment to implement algorithms. The goals of the book's problems are three-fold: to improve the understanding of numerical methods, to provide the opportunity to improve programming skills, and to use MATLAB as a tool for solving realistic problems in engineering and science. Designed for the newest version of the popular MATLAB, the brevity makes this textbook the perfect introduction to numerical methods or second- or third-year students. Material is appropriate for 2nd and 3rd year students and professionals unfamiliar with Numerical Methods. Realistic applications from engineering and science motivate students. Text includes many examples and end-of-chapter problems to help students learn numerical methods. Three levels of homework problems address applying numerical methods techniques with traditional pencil and paper and with MATLAB—see end-of-chapter problem sets. Students use MATLAB's built-in functions as tools for problem-solving and become familiar with a variety of numerical methods useful to practicing engineers. Advanced Strength and Applied Stress Analysis 2nd Edition, by Richard G. Budynas gives broad coverage of the theoretical, experimental, and numerical methods employed in the field of stress analysis. This book is designed to provide a clear transition from the subjects of elementary to advanced mechanics of materials. Its broad vary of protection allows instructors to easily select many different subjects to be used in one or more courses. The highly readable writing style and mathematical readability of the first edition are continued in this edition. Major revisions on this book include an expanded protection of three-dimensional stress/strain transformations; further matters from the speculation of elasticity; examples and problems which check the mastery of the prerequisite elementary topics. This text additionally includes new sections on fracture mechanics and structural stability; a totally rewritten chapter on the finite element method; a brand new chapter on finite element modeling strategies employed in follow when utilizing commercial FEM software; and a big enhance in the variety of finish of chapter train problems a few of which are oriented in direction of computer applications. Advanced Strength and Applied Stress Analysis 2nd Edition is intended for students beginning the study of mechanical engineering design. The focus is on blending fundamental growth of ideas with sensible specification of components. College students of this text should discover that it inherently directs them into familiarity with each the premise for selections and the requirements of business components. For that reason, as student transition to training engineers, they will find that this text is indispensable as a reference text. The objectives of the text are to cowl the basics of machine design, together with the design course of, engineering mechanics and materials, failure prevention underneath static and variable loading, and traits of the principal varieties of mechanical elements. It additionally provides a practical approach to the subject via a wide range of real-world purposes and examples This book encourages readers to hyperlink design, evaluation and fundamental ideas with practical component specification. The presentation of fatigue loading of bolted joints now handles general fluctuating stresses, treating repeated loading as a particular case. A Guide to Writing as an Engineer 3rd edition by David F. Beer and David A. McMurrey shows engineering students how to write, speak and develop the communication abilities essential to success in their tutorial careers and on the job. The authors focus specifically on what an engineer wants on a day-to-day basis, offering an "engineering method" to technical communication that features practical examples and conditions from at this time's industry. Based mostly on the engineering concept that something that interferes with efficient communication is "noise," the book shows students how one can make their sign-to-noise ratio as excessive as possible. Things like grammar errors, typos, poor group, and fuzzy thinking are handled as noise that needs to be eradicated from the message, so that communication could be as efficient and environment friendly as the engineering concepts it conveys. With a mixed experience of 30 years instructing and working within the industry, the authors ship a sensible book devoted to the writing concerns of engineers and those planning to enter the profession. Authors address vital writing ideas which apply to professional engineering communication to take care of the content material, group, format, and magnificence of particular sorts of engineering composition corresponding to reviews, enterprise letters, office memoranda, and e-mail. This text additionally covers oral presentations and tips on how to find engineering info in traditional methods and on the Internet. It introduces the idea of noise in communication reasonably than focusing on errors and poor writing, as in conventional programs, alleviates detrimental emotions students have about the writing and revision process. There are numerous examples from real engineering writing give attention to the engineering discipline and particular area of focus that the student is studying and will probably be practicing as a professional. The presentation within the ultimate chapter of two totally different Engineering Codes of Ethics (IEEE and ABET) reveals how engineers or student interns can implement these codes on the job if faced with moral decision. And the rest of the turbine engine material is up to date and presented aside from reciprocating engines, allowing for the pliability of instructing materials individually or together. New material added to the propeller section offers with composite propellers, dynamic propeller blancing, and auxiliary propeller methods reminiscent of auto-feather, de-synchro-phasing, and de-ice. The up to date and reorganized material on aircraft systems includes the newest information on control, indicating, and warning systems. All through the text, particular emphasis has been launched on the integration of information regarding how particular person components and systems function together. The topic consists of reciprocating and turbine engines plus details and maintenance needs of powerplant equipment corresponding to ignition, fuel, lubrication, exhaust, propeller, and operational needs. This text also discusses extreme cylinder head temperatures, increase airspeed, enrich the combination, and/or cut back power. Any of these procedures help in reducing the engine temperature. On airplanes equipped with cowl flaps, use the cowl flap positions to regulate the temperature. Cowl flaps are hinged covers that match over the opening through which the hot air is expelled. If the engine temperature is low, the cowl flaps will be closed, thereby proscribing the flow of expelled scorching air and rising engine temperature. Doubly Fed Induction Machine: Modeling and Control for Wind Energy Generation by Gonzalo Abad gives sensible information to capturing the potential of DFIM technology. These wind turbines have confirmed to be a cheap, efficient, and reliable method for producing power. Readers curious about DFIM technology can flip to this text to discover not solely the current state of the expertise and future instructions for research and growth, but in addition be taught the tools they should devise their own innovations and solutions. This text additionally presents clear mathematical descriptions of primary dynamic DFIM models in addition to a detailed steady-state analysis. The authors present a more subtle mannequin of a DFIM that takes into consideration grid disturbances such as voltage dips and stability disruptions. The second a part of the book surveys DFIM management strategies. Readers will learn about commonplace options used by wind turbine manufacturers, new developments designed to enhance the behavior of excessive-energy wind generators, as well as hardware-primarily based options that address defective grid scenarios. The book concludes with a forecast of the future of DFIMs. This book is a perfect, practical reference for engineers, researches, and students focused on fully learning the ability era capabilities of DFIM technology. This book helps readers grasp and apply complicated ideas by utilizing numerous aids all through together with diagrams and graphs with step-by-step calculations, illustrations and photographs of DFIM elements and systems. The management methods studied, range from commonplace solutions used by wind turbine manufacturers, to the last developments oriented to improve the behavior of high power wind generators, as well as management and hardware based options to deal with different faulty situations of the grid. As well as, the standalone DFIM generation system can be additionally analyzed. Doubly Fed Induction Machine: Modeling and Control for Wind Energy Generation (IEEE Press Series on Power Engineering) [Hardcover] Pipe Stress Engineering book, by Liang-Chuan Peng emphasizes three main concepts: using engineering common sense to foresee a potential piping stress problem, performing the stress analysis to confirm the problems of design of piping systems for optimizing the design to solve the problem. This textbook also provides comprehensive analytical method for evaluating the stresses, reactions and deflections in an irregular piping system in space, unlimited as to the character, location or number of concentrated loadings or restraints. Profusely illustrated and meticulously detailed. All equations have legends and the book's index includes a seven-page nomenclature reference. An engineering degree is not required to understand the overviews, but familiarity with piping components and piping design is necessary to fully understand the material. Systematically, Pipe Stress Engineering book proceeds from basic piping flexibility analyses, spring hanger selections, and expansion joint applications, to vibration stress evaluations and general dynamic analyses. Emphasis is placed on the interface with connecting equipment such as vessels, tanks, heaters, turbines, pumps and compressors. Chapters dealing with discontinuity stresses, special thermal problems and cross-country pipelines are also included. The Pipe Stress Engineering book is ideal for piping engineers, piping designers, plant engineers, and mechanical engineers working in the power, petroleum refining, chemical, food processing, and pharmaceutical industries. It will also serve as a reference for engineers working in building and transportation services. It can be used as an advance text for graduate students in these fields. Pipe Stress Engineering Vector Mechanics for Engineers: Statics 10th Edition, by Ferdinand Beer, Jr., E. Russell Johnston and David Mazurek gives conceptually correct and thorough coverage along with a significant refreshment of the exercise sets and online delivery of homework problems to your students. The Beer/Johnston textbooks launched vital pedagogical improvements into engineering mechanics teaching. The consistent, accurate drawback-solving methodology gives your college students the most effective alternative to learn statics and dynamics. On the same time, the cautious presentation of content material, unmatched ranges of accuracy and a spotlight to element have made these texts the standard for excellence. The Questions are multiple selection issues that require few, if any, calculations are included. College students are encouraged to resolve these issues utilizing the ideas and techniques mentioned in the text and to make use of these rules to assist develop their intuition. Vector Mechanics for Engineers: Statics 10th Edition permits college students to see essential key drawback types and with the solution laid out on a single page, organized to offer a potent model for pupil problem solving. Sample Issues serve the twin objective of amplifying the text and demonstrating the type of neat and orderly work that college students ought to cultivate in their own solutions. This book also presents a clear sort-set presentation and group of problem solutions. As well as, Instructors are provided with assignment grids, designed so that instructors can assign different homework problems each semester for up to six semesters. Additionally included is a description of the material lined in every chapter and hints to assist instructors assign acceptable homework problems. Design Issues are supplied on the end of every chapter. While the issues are generic they're designed to be easily solved using well-liked computational packages like Matlab®, Mathcad®, and Maple™. The computer issues concentrate on symbolic manipulation and plotting quite than programming. Flame and Combustion 3rd Edition, by John F. Griffiths and John Allan Barnard offers full introduction for postgraduate and undergraduate students to the chemical principles of flame and combustion phenomena. The examination of combustion phenomena is multi-disciplinary, embracing chemistry, engineering, arithmetic, and physics. A fundamental understanding of how these subjects interact is necessary to underpin any work in this area. This book has been rigorously ready to maintain the strengths of the earlier editions, while updating the understanding and considerations of combustion scientists and engineers. Flame and Combustion 3rd Edition focuses on the impact of pressure and high inlet velocity of turbulent premixed flames on the adiabatic flame temperature of a methane-Air Flame. Turbulent premixed flames are extensively spread in technical applications and they are used especially in stationary gas turbines for an excessive-environment friendly and low emission power conversion of gaseous fuels. Authors show the variation of adiabatic flame temperature along the combustion chamber as a function of both the strain and inlet movement velocity. The revision has been thorough, leading to a considerable modification or enlargement of many areas. Both postgraduate and undergraduate students of chemistry, chemical and mechanical engineering, fuel technology and environmental science will discover this book relevant to their research. This book should be of curiosity to undergraduate/postgraduate chemists; chemical engineers; undergraduate/postgraduate mechanical engineers and environmental scientists; and industrial combustion technologists. Flame and Combustion. Third Edition [Hardcover] Photovoltaic Systems Engineering 3rd Edition book, by Roger A. Messenger presents a complete solution manual in engineering foundation for photovoltaic (PV) system design, so engineers can realize the what, why, and the way connected with the electrical, mechanical, economic, and aesthetic elements of PV technique design. The authors discover the significant development and new concepts within the PV market. This book contains intellectual tools to help engineers and students to understand new systems and tips in exploring these tips making use of updated track record of power production and intake with mathematical history for knowing energy provide and summary of the photo voltaic spectrum, the way to locate the sunlight, and the best way to optimize the seize of its energy. Photovoltaic Systems Engineering 3rd Edition educates concerning the design of PV systems to ensure that when engineering judgment is needed, the engineer could make intelligent choices according to a clear comprehension with the parameters concerned. This aim differentiates this textbook in the numerous design and installation manuals that prepare the reader how you can make design decisions, but not why. The authors explain why a PV design is executed a particular way, and just how the design approach is basically applied. The text is complete of further sensible considerations added towards the theoretical qualifications connected with mechanical and structural design. A modified top-down method organizes the material to promptly cover the constructing blocks from the PV technique. Photovoltaic Systems Engineering 3rd Edition focuses on adjusting the parameters of PV systems to optimize efficiency. The final two chapters discuss about the physical basis of PV cell operation and optimization.
Problem Solving Approach to Mathematics for Elementary School Teachers, A (11th Edition) 9780321756664 ISBN: 0321756665 Edition: 11 Pub Date: 2012 Publisher: Addison Wesley Summary: This is the leading textbook for students learning how to teach mathematics to elementary school students, focusing on problem solving. It remains current with its discussion of standards in teaching today and it teaches students the value of professional development for their future careers. It encourages active learning and provides many exercises, study tools and opportunities for active learning. Students will ga...in valuable insight into how they can apply their mathematics and teaching knowledge in the classroom. We offer many high quality discounted mathematics textbooks to buy or rent by semester. Rick Billstein is the author of Problem Solving Approach to Mathematics for Elementary School Teachers, A (11th Edition), published 2012 under ISBN 9780321756664 and 0321756665. Six hundred twenty one Problem Solving Approach to Mathematics for Elementary School Teachers, A (11th Edition) textbooks are available for sale on ValoreBooks.com, two hundred four used from the cheapest price of $77.62, or buy new starting at $166.45 text book (same content, just cheaper!!). May not contain access card/supplementary materials. Second day shipping available, ships same 2nd day shipping available, ships same or next business day. Get bombed!!This is the U.S. stud [more] ALTERNATE EDITION: This is a loose-leaf edition text book (same content, just cheaper!!). 2nd day shipping available, ships same or next business day. Get bombed!!edited shipping within U.S. will arrive in 3-5 days. Hassle free 14 day return policy. Contact Customer Service for questions.[less]
MATLAB - Guida all'uso Written for beginners, this book is structured to help readers gradually learn the basics of MATLAB. By solving some well-known problems of numerical calculation, the reader will acquire proficiency in managing the numerical simulation of mathematical models. Topics covered include a MATLAB overview, elements of programming in MATLAB, numerical calculus, and numerical methods for computational problems.
Geometry Formulas and Facts - An excerpt from the 30th Edition of the CRC Standard Mathematical Tables and Formulas, covering the area of Geometry (minus differential geometry), by Silvio Levy. Glossary of Math Terms - Explains commonly used words specialized to this field. Includes examples and some graph illustrations. K-12 math textbook content analysis - Spreadsheets on the distribution of 1000 common math terms as used in K-12th grade mathematics textbooks over the last 30 years. Analysis in English, Spanish and French. Math formulas - A large , free online lists of mathematics formulas. Collection of all basic and advanced formulas related to mathematics. Mathematics Resources - Offers a large number of links to mathematical resources, dedicated to various topics. Mighty Number: A Search Engine for Numbers - Mighty Number contains information about every integer. Information includes relevance of number, mathematical information such as square root, and decoding of telephone numbers. NIST Digital Library of Mathematical Functions - Result of a project to provide a modern revision of Abramowitz and Stegun's "Handbook of Mathematical Functions". The site includes definitions, properties, and graphs of many special functions. Numerical Prefixes - Tables for Greek and Latin number values alone and as a part of other words.
Summary: Demonstrates how some of the fundamental ideas of algebra can be introduced, developed, and extended. Focuses on repeating and growing patterns, introducing the concepts of variable and equality, and examining relations and functions. Features activities with questions that stimulate students to think more deeply about the mathematical ideas. Discusses expectations for students' accomplishment and provides helpful margin notes and blackline masters. Edition/Copyright: 01 Cover: Paperback Publisher: National Council of Teachers of Mathematics Published: 01/28/2001 International: No62 +$3.99 s/h Good Booksavers MD Hagerstown, MD 2001 Paperback 2001. A good used copy with clean pages, usual school markings and moderate cover wear. Book only-does not include additional resources. Booksavers receives donated books and recycles...show more them in a variety of ways. Proceeds benefit the work of Mennonite Central Committee (MCC) in the U.S. and around the world. ...show less $1757 +$3.99 s/h New Textbookcenter.com Columbia, MO Ships same day or next business day! UPS(AK/HI Priority Mail)/ NEW book
More About This Textbook Overview This text provides a comprehensive introduction to convex sets and functions. Requiring only a basic knowledge of analysis and linear algebra, the book clearly discusses topics as diverse as number theory, classical extremum problems, combinatorial geometry, linear programming, game theory, polytopes, bodies of constant width, the gamma function, minimax approximation, and the theory of linear, classical, and matrix inequalities. The book clearly shows how convexity links many different topics in mathematics, from linear algebra to analysis. Suitable for upper-level undergraduate and graduate students, this book offers full solutions to over 200 exercises as well as detailed suggestions for
Linear Algebra Description: Every student of mathematics needs a sound grounding in the techniques of linear algebra. It forms the basis of the study of linear equations, matrices, linear mappings, and differential equations, and comprises a central part of any course inMore... Every student of mathematics needs a sound grounding in the techniques of linear algebra. It forms the basis of the study of linear equations, matrices, linear mappings, and differential equations, and comprises a central part of any course in mathematics. This textbook provides a rigorous introduction to the main concepts of linear algebra which will be suitable for all students coming to the subject for the first time. The book is in two parts: Part One develops the basic theory of vector spaces and linear maps, including dimension, determinants, and eigenvalues and eigenvectors. Part Two goes on to develop more advanced topics and in particular the study of canonical forms for matrices. Professor Berberian is at pains to explain all the ideas underlying the proofs of results as well as to give numerous examples and applications. There is an abundant supply of exercises to reinforce the reader's grasp of the material and to elaborate on ideas from the text. As a result, this book presents a well-rounded and mathematically sound first course in linear algebra
Summary: Featuring updated content, vivid applications, and integrated coverage of graphing utilities, the ninth edition of this hands-on trigonometry text guides readers step by step, from the right triangle to the unit-circle definitions of the trigonometric functions. Examples with matched problems illustrate almost every concept and encourage readers to be actively involved in the learning process. Key pedagogical elements, such as annotated examples, think boxes, cautio...show moren warnings, and reviews, help readers comprehend and retain the material. ...show less Shows definite wear, and perhaps considerable marking on inside. 100% Money Back Guarantee. Shipped to over one million happy customers. Your purchase benefits world literacy! $6.48 +$3.99 s/h Good 1upbooks Columbia, MO "Fast shipping! May contain notes, highlighting, and/or cover wear." $6.49 +$3.99 s/h VeryGood AlphaBookWorks Alpharetta, GA 04717465680471746568 THIS BOOK IN STOCK & WILL SHIP SAME DAY! NOTICEABLY READ/USED.CLEAN & INTACT PAGES.AVERAGE WEAR TO COVER(MAY HAVE SPINE CREASES),PAGES AND /OR SPINE, SLIGHT BEND TO BOTTOM OF BOOK DUE TO ST...show moreORAGE
Reference numbers for each problem so students and parents can see where a problem was first introduced A digital gradebook that can manage multiple student accounts and be easily edited by a parent Built in back up and gradebook transfer feature Compatible with PC (Windows XP or later) and Mac (OS 10.4 or later) Students watch video lectures on CD-ROM, do problems from the 654-page workbook. When they need help or review, you've got a printed Answer Key plus audiovisual step-by-step solutions to every homework and quiz problem. Sample Pages Sample Lectures TheLecture & Practice CD'scontain 10-15 minute lectures for every lesson in the print textbook. They also feature multimedia step-by-step explanations to the 5 practice problems that accompany each lesson. This set of CDs is ideal for students who prefer listening and watching to reading. Sample Solutions TheSolution CD's contain a multimedia step-by-step explanation to every single one of the almost 3,000 homework problems in the textbook. If you're tired of having to help your child do half his homework, or if you simply want to give him access to a library of quality explanations which will undoubtedly supplement and reinforce his understanding, this is the tool you need.
Exploring Analytic Geometry with Mathematica Donald L. Vossler, 1999, Academic Press. 865 pp., softbound, CD-ROM. Vossler's Exploring Analytic Geometry with Mathematica is a hefty tome, but worth the bicep-building effort if you're interested in or use analytic geometry. EAGM is designed for use as both a comprehensive textbook and a reference for analytic geometry. The subject is treated with extensive depth and breadth, making it a good volume for either use. The CD-ROM includes a Mathematica package for interactive geometric exploration, Descarta2D, which is useful as both a pedagogical and research tool. (The code is slightly DOS-centric. We had to make a small tweak to one of the included files in order to get it to work on the Macintosh.) All of the Mathematica code for Descarta2D is included in the printed book, an excellent reference for those who aren't especially fond of reading from the screen. Symmetrically, the entire book is included on the CD-ROM in both help-browser/notebook form and in PDF, making searching for specific information simple and fast. You get the best of both worlds: you can read, search, or explore using the format most appropriate for the job at hand. Further enhancing the online version is the liberal use of links, which makes it easier to "flip" through the electronic pages. The writing is clear and concise. Layout and design are excellent, thanks in part to , as are the extensive number of illustrations, many produced with the assistance of Mathematica and Descarta2D's Sketch2D routine. The subject matter is treated well; subjects move smoothly from elementary geometry through conics, geometric functions, and tangent curves. Multiple examples are provided in each chapter, and the student can be further challenged by the dozens of "explorations" whose completed versions are available on the CD-ROM.
Fundamentals of Trigonometry - 9th edition Summary: Taking a unit-circle first approach, this proven book helps students learn, understand, and appreciate trigonometry without compromising mathematical integrity. The book incorporates the use of the graphing calculator (although use of the graphing calculator is not required). Numerous application problems are used throughout to help motivate students toward success in learning trigonometry. Step-by-step ...show moreexplanations accompany the examples and help students better understand the material. Graphics and scientific-calculator exercises are integrated within the text so students can apply the latest technology. The book features more than 1,000 pieces of mathematically precise artwork and figures. This edition places a greater emphasis on technology and graphing calculators, set up in a flexible format so professors can use as much or as little as desired. The appendix contains problem-solving exercises using the TI-82/83. Chapter one has been reworked as a stand-alone, optional review chapter. Expanded discussion exercises. New "Discussion Exercises" have been added at the end of each chapter to promote further exploration of concepts and group work. Increased number of modeling applications. Color is used pedagogically to clearly distinguish parts of figures and includes matching, color-coded labels. New discussion exercises at the end of each chapter to promote further exploration of concepts and group work. Many engaging new exercises require students to estimate, approximate, interpret a result, create a model, explore, or find a generalization. Overall, there are an increased number of modeling applications. The Law of Sines. The Law of Cosines. Trigonometric Form for Complex Numbers. De Moivre's Theorem and nth Roots of Complex Numbers. Vectors. The Dot Product. Chapter 4 Review Exercises. Chapter 4 Discussion Exercises.75Buy with Confidence. Excellent Customer Support. We ship from multiple US locations. No CD, DVD or Access Code Included. $36.90 +$3.99 s/h VeryGood Greatextbooks Auburn, CA 0534361285 **VERY GOOD COPY** NO WRITING INSIDE BUT MIGHT HAVE SHELF WEAR. SHIPS SAME OR NEXT BUSINESS DAY!!!! $49.48$53.11 +$3.99 s/h Good Mav173 Mankato, MN 1998 Hardcover Good $6772.0872.18 +$3.99 s/h Acceptable AlphaBookWorks Alpharetta, GA 0534361285
Beginning Algebra 9780321784919 ISBN: 032178491X Edition: 6th Revise Pub Date: 2011 Publisher: Pearson Education Summary: Written by Elayn Martin-Gay, Beginning Algebra was released in 2011 in this 6th revised format. Complete with plenty of new material compared to earlier versions, you can find out more about getting to grips with algebra and learning how to start in the right way. Published by Pearson Education, this text book is available at the cheapest prices. Buy Beginning Algebra online now and take advantage of the lowest price...s on previously owned text books. Sell back your copy now if you already own it and make the most of a good deal. Try Valore Books for Beginning Algebra deals now. Martin-Gay, Elayn is the author of Beginning Algebra, published 2011 under ISBN 9780321784919 and 032178491X. Seven hundred ten Beginning Algebra textbooks are available for sale on ValoreBooks.com, two hundred thirty seven used from the cheapest price of $56.91, or buy new starting at $125 shipping within U.S. will arrive in 3-5 days. Hassle free 14 day return policy. Contact Customer Service for questions.[less]
Elementary & Intermediate Algebra A Unified Approach 9780073309316 ISBN: 0073309311 Edition: 3 Pub Date: 2007 Publisher: McGraw-Hill College Summary: A Unified Text That Serves Your Needs. Most colleges offering elementary and intermediate algebra use two different texts, one for each course. As a result, students may be required to purchase two texts; this can result in a considerable amount of topic overlap. Over the last few years, several publishers have issued "combined" texts that take chapters from two texts and merge them into a single book. This has allow...ed students to purchase a single text, but it has done little to reduce the overlap. The goal of this author team has been to produce a text that was more than a combined text. They wanted to unify the topics and themes of beginning and intermediate algebra in a fluid, non-repetitive text. We also wanted to produce a text that will prepare students from different mathematical backgrounds for college algebra. We believe we have accomplished our goals. For students entering directly from an arithmetic or pre-algebra course, this is a text that contains all of the material needed to prepare for college algebra. It can be offered in two quarters or in two semesters. The new Review Chapter found between chapters 6 and 7 serves as a mid-book review for students preparing to take a final exam that covers the first seven chapters. Finally, we have produced a text that will accommodate those students placing into the second term of a two-term sequence. Here is where the Review Chapter is most valuable. It gives the students an opportunity to check that they have all of the background required to begin in Chapter 7. If the students struggle with any of the material in the Review Chapter, they are referred to the appropriate section for further review. Baratto, Stefan is the author of Elementary & Intermediate Algebra A Unified Approach, published 2007 under ISBN 9780073309316 and 0073309311. One hundred nineteen Elementary & Intermediate Algebra A Unified Approach textbooks are available for sale on ValoreBooks.com, fifty five used from the cheapest price of $1.99, or buy new starting at $60073309316 ISBN:0073309311 Edition:3rd Pub Date:2007 Publisher:McGraw-Hill College is a student's number one resource for cheap Elementary & Intermediate Algebra A Unified Approach rentals, or used and new condition books available to purchase and have shipped quickly.
Developing Mathematics: Some Applications of Geometric Thinking: While geometry is a wonderful field in its own right, geometric ideas are also useful tools for studying and understanding all kinds of phenomena inside and outside mathematics. Teachers in this course will look at some basic geometric habits of mind like studying continuous change and looking for things that don't change, and they'll apply these habits to a wide variety of situations. For example, we may look at Geometric optimization: what are some general-purpose tools for minimizing paths or maximizing area? Geometric invariants: what attributes of a figure stay the same when the figure is changed in some regular way? The fundamental theorem of algebra: what does it say, why is it fundamental, and why is it true? Fixed points: If you pick a positive number, take its square root, take the square root of that, and keep up the good work, what happens and why? What geometric thinking is common to all these and similar questions? No background with any of these questions will be assumed. One of the tools we may use in the course is a dynamic geometry environment (like The Geometer's Sketchpad® or Cabri). Here, too, we'll start from scratch. By the end of week three, we promise some beautiful and exciting applications of geometry
A full course in differential equations involves applications of derivatives to be studied after two or three semester courses in calculus. A derivative is the rate of change of one quantity with respect to another; for example, the rateThis morning I was awoken by my alarm clock powered by electricity generated by the public power monopoly regulated by the US department of energy. I then took a shower in the clean water provided by the municipal water utility. After that, I turned ... Is that juicy nugget of information about your buddy nagging at you, begging you to release it to the rest of your friends? Do you feel the urge to gossip about others behind their back in order to make yourself look like the joker in the...
Written for the gifted math student, the new math coach, the teacher in search of problems and materials to challenge exceptional students, or anyone else interested in advanced mathematical problems. Competition Math contains over 700 examples and problems in the areas of Algebra, Counting, Probability, Number Theory, and Geometry. Examples and full solutions present clear concepts and provide helpful tips and tricks. "I wish I had a book like this when I started my competition career." Four-Time National Champion MATHCOUNTS coach Jeff Boyd "This book is full of juicy questions and ideas that will enable the reader to excel in MATHCOUNTS and AMC competitions. I recommend it to any students who aspire to be great problem solvers." Former AHSME Committee Chairman Harold Reiter
User menu You are here of brief examples created by scientists and engineers showing how math and science topics taught in K-12 classes have real world applications.
Elementary Number Theory 9780697059192 ISBN: 0697059197 Publisher: McGraw-Hill Higher Education Summary: "Elementary Number Theory," Sixth Edition, is written for the one-semester undergraduate number theory course taken by math majors, secondary education majors, and computer science students. This contemporary text provides a simple account of classical number theory, set against a historical background that shows the subject's evolution from antiquity to recent research. Written in David Burton's engaging style, Elem...entary Number Theory reveals the attraction that has drawn leading mathematicians and amateurs alike to number theory over the course of history. Burton, David M. is the author of Elementary Number Theory, published under ISBN 9780697059192 and 0697059197. Seventeen Elementary Number Theory textbooks are available for sale on ValoreBooks.com, twelve used from the cheapest price of $5.86, or buy new starting at $83
0521559871 9780521559874 An Introduction to Homological Algebra:The landscape of homological algebra has evolved over the past half-century into a fundamental tool for the working mathematician. This book provides a unified account of homological algebra as it exists today. The historical connection with topology, regular local rings, and semi-simple Lie algebras is also described. The first half of the book takes as its subject the canonical topics in homological algebra: derived functors, Tor and Ext, projective dimensions and spectral sequences. Homology of group and Lie algebras illustrate these topics. Intermingled are less canonical topics, such as the derived inverse limit functor lim1, local cohomology, Galois cohomology, and affine Lie algebras. The last part of the book covers less traditional topics that are a vital part of the modern homological toolkit: simplicial methods, Hochschild and cyclic homology, derived categories and total derived functors. Back to top Rent An Introduction to Homological Algebra 1st edition today, or search our site for Bela textbooks. Every textbook comes with a 21-day "Any Reason" guarantee. Published by Cambridge University Press.
not necessarily have to be completed in the 10th Grade, but this structure reflects a typical high school ... Algebra 1/2 Algebra I Geometry Algebra II Advanced Mathematics Calculus Algebra I online Geometry online Algebra II online Social Studies: 4 Credits Regarding students currently enrolled in Algebra 2 (10th graders): can they take the Algebra 1 test in an arena setting, like they can take the Geom EOC in an arena setting? A: Students taking Algebra 2 will take the Makeup 1 exam, arena style. end of 9th grade year must take both Geometry Honors and Algebra II Honors in the 10th grade Pre-IB Program. These students will have no elective 10th grade year. 8. If accepted, students will register for 10th grade Pre-IB courses, MATHEMATICS – New 2009-10. Three (3) credits of Mathematics are required for graduation. It should also be noted that a minimum of Algebra 1, Geometry, and Algebra II are required for admission to most 4-year colleges and many 2-year Released Test Questions Algebra II Introduction - Algebra II The following released test questions are taken from the Algebra II Standards Test. This test is one of the California Standards Tests administered as part of the Standardized Testing and Reporting (STAR) Program Linear Algebra and its applications (10th edition) by Gilbert Strang, ISBN-0030105676. (This textbook is often used as an alternative to our textbook). Linear Algebra ( 4th edition) by Friedberg, Insel, and Spence, ISBN-0-13\|88451-4. Elementary Linear Algebra with Supplemental Applications. 10th Edition International Student Version Description: Elementary Linear Algebra10th edition gives an elementary treatment of linear algebra that is suitable for a first course for undergraduate students. Algebra I.. Horizons identified students MUST register for Horizons courses. ... *In order to be classified as an 10th grader, students must have 1 year of attendance and 5 credits, including credits in English I and Algebra I.. The focus on algebra has increased with the push for formal algebra instruction by the 8th grade. ... 70 percent of 10th grade students that previously failed passed the TAKS math assessment. Passing TAKS math is critical to graduating and these students are ALGEBRA Students will investigate exponential, logarithmic, and polynomial functions of higher degree; understand matrices and use them to solve problems; and solve linear programming problems in two variables. MA2A1. Students will explore exponential functions. Accelerated CCGPS Coordinate Algebra/Analytic Geometry A – At a Glance . NOTE: Mathematical standards are interwoven and should be addressed throughout the year in as many different units and tasks as possible in order to stress the natural connections that exist among mathematical topics.
Find a Fayville StatisticsOnce this is mastered, we begin exploring how mathematics and the natural sciences "reason logically" and how our basic understandings of natural laws develop from basic relationships between words and objects. Social studies explores the relationship between individuals and their government at ...
Job Description: Mathematics teaching application and answering questions, using the camera, a forum, and video lectures
Book summary Have you ever wondered how you can use your microcomputer to learn something useful whilst still having fun? If you have then you will certainly enjoy this entertaining guide to the fascinating world of mathematics. And you do not need to be an expert in mathematics or computing! Each chapter introduces an important part of mathematics. The basic ideas are explained in a lively and instructive style, and then incorporated into computer games and 'fun' programs. Find out how to make snowflakes and about polar honey bees; discover hidden treasure, and learn what bouncing balls, rockets and bacteria have in common; create amazing patterns on screen. All of the computer programs are written in BASIC, and in such a way that they are readily adaptable to your own microcomputer; conversion notes are provided. The programs have been tested on several different microcomputers and the programs listings have been printed directly from running programs. The book will provide an endless source of ideas, and what you learn will enable you to write your own even more sophisticated programs. [via]
Mammoth, AZ SAT Math have taken and passed the AP Calculus AB, AP Calculus BC, and AP Statistics tests; scoring a 5, a 5 (with a 5 on the AB section), and a 3.I also received a perfect score of 800 on the Math portion of the SAT. I completed Intro to Discrete Structures (CSC 245) at the University of Arizona. I'v... ...In modern Algebra we most frequently use "x" to represent "the thing". Start any word problem with labeling the unknown, "Let x = the number of ...." It is this great art that has so greatly advanced all the modern sciences. Think of it as the art that supports the sciences!
Math The website presents math as knots, logic, infinity, and imaginary shapes, not just numbers, and for teachers the materials have been made with the assumption that there is little or no experience with the mathematical topics they cover. The project is designed to be approached as a discovery for both student and teacher and offers extensive online help. In addition, teachers can receive the accompanying workbook for free! This comprehensive directory of links to statistical data sources covers topics from agriculture to education to health to transportation. The site offers some fairly expensive courses on statistical methods, but the use of the site's other resources is free and worth the visit. Users will find free software, discussion groups, booklists for online and print materials, a host of links to interactive statistical calculation pages, and a homework discussion for getting help with statistics problems. is a great resource for students and teachers alike. Students will find help with homework and study tips, practice lessons that include in-depth explanations and quizzes, interactive games and a host of calculators and tools. Teachers can use this site to supplement the math curriculum and to provide extra practice for their students. Included for teachers are classroom resources, an algebra work sheet generator, and interactive applets that generate printable graphs. Additionally, the site provides a glossary of math terms and experts can answer your math questions. Includes a Shortcut to World of Math's Online Math Reference Tables. This site is a useful and user-friendly tool for performing statistical computation. It is based at Vassar, and includes various utilities and statistical procedures, including an online and sometimes interactive statistical textbook.
About This Book: Master the fundamentals of discrete mathematics and proof-writing with MATHEMATICS: A DISCRETE INTRODUCTION! With a clear presentation, the mathematics text teaches you not only how to write proofs, but how to think clearly and present cases logically beyond this course. Though it is presented from a mathematician's perspective, you will learn the importance of discrete mathematics in the fields of computer science, engineering, probability, statistics, operations research, and other areas of applied mathematics. Tools such hints and proof templates prepare you to succeed in this course
NCERT Books for Class 12 \| NCERT Solutions for Class 12These solutions help the students of class 12 to find out the conceptual way to solve the questions with very easy method.. NCERT textbooks solutions for class ... Oswaal Study Material Based on NCERT Textbook English For This book offers a complete solution to the NCERT Textbook in the given subject. It aims at explaining each and every chapter effectively thereby leading to ... NCERT English Guide For Class 12 Part 2 free preparationNCERT books are an important reference for UPSC, SSC , Other All india Competitive exam and Civil Services Preparation. standard in English. National ... Ncert Solved Book \| Pioneer Mathematics - CBSE Study Material These solutions have been copied from the guides and given to students free of cost. Solutions to some questions in NCERT math books is ... NCERT Solutions Class 11 Mathematics - School / Foundation BooksThe book NCERT Solutions Class 11 Mathematics is exclusively written for CBSE students of class 11. The book provides Quick Revision of the concepts ...
Solve Word Problems in Algebra, 2nd Edition Solving word problems has never been easier than with this bestseller. This new complete update features solution methods that are easy to learn and ...Show synopsisSolving word problems has never been easier than with this bestseller. This new complete update features solution methods that are easy to learn and remember, plus a self-test. 140 illustrations.Hide synopsis Description:New. Word problems? ? No problem! ! Be prepared when you get to...New. Word problems? ? No problem! ! Be prepared when you get to the word-problem section of your test with Schaum's "How to Solve Word Problems in Algebra"! With this easy-to-use pocket guide, solving word problems in algebra become almost fun. This anxiety
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To explore and observe the recursive nature and iterative tendencies of Newton's Method through numerical and graphical processes in order to determine zeroes of various functions. Through this process, the students will create recursive formulas that will enable an easier method for getting infinitely close to the actual value of any zeroes on a given curve. Also, drawbacks of Newton's Method will be explored and discussed. Hooked on Conics! Peter Kaczmar and Lars Nordfelt Hooked on Conics! is an activity to help precalculus students discover conic sections and their properties. Most of the activity uses files that require the software application The Geometer's Sketchpad®. Usually students would work as pairs (2 students to each computer) and enter their responses on the computer. Students will investigate the geometric definitions, the rectangular and polar equations, and the effect of parameter changes on the graphs. They will study the ratio (the eccentricity) of distance from any given point to a focus to the distance from the given point to the corresponding directrix and will then be able to define all conics in terms of this ratio. An introduction to periodic functions using a monochord James Stallworth and Susan Antonsen Using common household materials, students will construct a monochord, a one-stringed instrument, which they will then use to investigate the relationship between string length and musical octaves. We will include a video demonstrating the construction of the monochord along with step by step instructions. After the construction and initial exploration, they will discover the relationship between ratios of string length to the notes on Pythagoras' and Ptolemy's musical scales. The students will then use their musical instrument and the calculator based laboratory to see what the sounds look like in terms of period, amplitude, and frequency. Students explore a recursive SIR model that is based on the differential equations model developed in 1927 by W.O. Kermack (public health physician), and A.G. McKendrick (biochemist) for predicting the behavior of various epidemic diseases. Students engage in several activities that use the SIR model including a spreadsheet simulation. At the conclusion of the activities students are able to determine the smallest percentage of the population that should be immunized in order to prevent the spread of a disease
Product Details: GIK1078: Pythagoras would be proud! The theorems and principles of basic geometry are clearly presented in these workbooks, along with examples and exercises for practice. All concepts are explained in an easy-to-understand fashion to help students grasp geometry and form a solid foundation for advanced learning in mathematics. Each page introduces a new concept, along with a puzzle or riddle which reveals a fun fact. Features "The theories and principles of basic geometry All concepts are explained in an easy-to-understand fashion Beginning geometry workbook Each page introduces a new concept, along with a puzzle or riddle" Students grasp geometry and form a solid foundation for advanced learning in mathematic
Note: Citations are based on reference standards. However, formatting rules can vary widely between applications and fields of interest or study. The specific requirements or preferences of your reviewing publisher, classroom teacher, institution or organization should be applied. Thinking in problems : how Mathematicians find creative solutions .Read more... Abstract: This in-depth guide to creative problem-solving techniques in mathematics shows how to use a range of valuable methods, including calculus and combinatorics, to tackle thorny academic obstacles in other fields such as engineering and applied technology.Read more... Reviews Editorial reviews Publisher Synopsis From the reviews: "This marvelous collection of problems represents an interesting and valuable resource for students who prepare various types of mathematics contests. ... very strongly recommends this book to all undergraduate and graduate students curious about elementary mathematics. Teachers would find this book to be a welcome resource, as will contest organizers." (Teodora-Liliana Radulescu, zbMATH, Vol. 1270, 2013)Read more... "."
Product Description Singapore's Discovering Mathematics: Common Core State Standards (CCSS) curriculum replaces the now-discontinued Discovering Mathematics 1A, and has been revised to meet common core standards. This "Discovering Math Common Core 7A Workbook" is designed for the first semester of grade 7, and is a supplement to the "Discovering Math Common Core 7A Textbook". Emphasizing the empowerment of students to learn math independently and effectively, a variety of approaches are used to help students master concepts. Questions are arranged by topic, and are categorized into four sections according to difficulty and thinking skills. "Basic Practice" questions are simple and drill concept comprehension; "Further Practice" questions are harder and involve direct application; "Challenging Practice" questions require synthesis; and "Enrichment" questions demand higher order thinking skills. Exercises follow the text, and cover factors and multiples, real numbers, algebra, linear equations, ratio, percentage, and more. A line-listed answer key is included in the back of the book. 66 perforated, consumable pages (not-reproducible), softcover.
Math Survival Guide Tips and Tricks for Science Students 9780471270546 ISBN: 0471270547 Edition: 2 Pub Date: 2003 Publisher: Wiley & Sons, Incorporated, John Summary: This second edition of 'Math Survival Guide' provides tips for science students in the form of a quick reference/update guide. It uses an approachable tone and appropriate level and includes good problem sets. Appling, Jeffrey R. is the author of Math Survival Guide Tips and Tricks for Science Students, published 2003 under ISBN 9780471270546 and 0471270547. Nine hundred twenty three Math Survival Guide Tips... and Tricks for Science Students textbooks are available for sale on ValoreBooks.com, three hundred eighty six used from the cheapest price of $3.63, or buy new starting at $32.36.[read more [more
Plane Geometry Description This traditional text acquaints students with the fundamental tools of geometry in an interesting way. Students are impressed with the necessity of a formal proof before being plunged into demonstrative geometry. Many proofs are done for the students to train them in the thinking process. Students are taught to think naturally, logically, and systematically through a well-written text and through abundant exercises. Students enjoy the many "extras," which include the mathematical information on several famous buildings, biographies of great mathematicians, and geometry in the world around us
This is a book containing over 200 problems spanning over 70 specific topic areas covered in a typical Algebra II course. Learners can encounter a selection of application problems featuring astronomy, earth science and space exploration, often with...(View More) more than one example in a specific category. Learners will use mathematics to explore science topics related to a wide variety of NASA science and space exploration endeavors. Each problem or problem set is introduced with a brief paragraph about the underlying science, written in a simplified, non-technical jargon where possible. Problems are often presented as a multi-step or multi-part activities. This book can be found on the Space Math@NASA website.(View Less) booklet containing 87 problem sets that involve a variety of math skills, including scale, geometry, graph analysis, fractions, unit conversions, scientific notation, simple algebra, and calculus. Each set of problems is contained on one...(View More) page. Learners will use mathematics to explore varied space science topics in the areas of Earth science, planetary science, and astrophysics, among many others. This booklet can be found on the Space Math@NASA website.(View Less) This is a booklet containing 15 problems that incorporate data and information from the Hinode solar observatory. The problems involve math skills such as finding the scale of an image to determine actual physical sizes in images, time calculations,...(View More) volumes of cylinders, graph analysis, and scientific notation. Learners will use mathematics to explore solar science topics such as sunspot structure, spectroscopy, solar rotation, magnetic fields, density and temperature of hot gases, and solar flares. This booklet can be found on the Space Math@NASA website.(View Less) This is a booklet containing 36 problem sets that involve a variety of math skills, including scientific notation, algebra, geometry, and calculus. Each set of problems is contained on one page. Learners will use mathematics to explore varied space...(View More) science topics including radiation effects on humans and technology, solar science, and other mathematics topics a booklet containing 24 problem sets that involve a variety of math skills, including scientific notation, simple algebra, and calculus. Each set of problems is contained on one page. Learners will use mathematics to explore varied space...(View More) science topics including solar storms, solar energy, coronal mass ejections, and doppler shift, among others.(View Less) This is a booklet containing 20 problem sets that involve a variety of math skills, including equations and substitution, time calculations, reading, algebra, and more. Each set of problems is contained on one page. Learners will use mathematics to...(View More) explore space science topics related to our Sun, auroras, solar features, space weather, sunspots, and solar storms. This booklet can be found on the Space Math@NASA website.(View Less) This is an activity about the mathematics of oscillation. Using data obtained in ninth and tenth activities in the Exploring the Earth's Magnetic Field: An IMAGE Satellite Guide to the Magnetosphere educators guide, learners will plot the formula...(View More) X(t)=X(0)cos(ft) or X(t)=X(0)sin(ft), depending on the data obtained during the oscillation experiments. Then, the mathematical model for oscillation is further refined by including damping. This is the eleventh activity in the guide and requires prior use and construction of a soda bottle magnetometer.(View Less)
Elementary Linear Algebra - 6th edition ISBN13:978-0618783762 ISBN10: 0618783768 This edition has also been released as: ISBN13: 978-0547004815 ISBN10: 0547004818 Summary: The cornerstone of Elementary Linear Algebra is the authors' clear, careful, and concise presentation of material--written so that students can fully understand how mathematics works. This program balances theory with examples, applications, and geometric intuition for a complete, step-by-step learning system.The Sixth Edition incorporates up-to-date coverage of Computer Algebra Systems (Maple/MATLAB/Mathematica); additional support is provided in a corresponding tec...show morehnology guide. Data and applications also reflect current statistics and examples to engage students and demonstrate the link between theory and practice3250.00 +$3.99 s/h Good ocbookstx Richardson, TX 06187837680618783768 Brand New. Exact book as advertised. Delivery in 4-14 business days (not calendar days). We are not able to expedite delivery. $158158.75
Math 6/5 expands upon Math 5/4. Your child learns to apply mathematical tools and techniques to real-life mathematical situations using word problems. Includes incremental development of order of operations; geometry and measurement; integers; divisibility concepts; ratios; statistics and probability; prime and composite numbers; patterns and sequences; and powers and roots. The solutions manual includes full step-by-step solutions for all lesson and investigation problems and for all 23 cumulative tests. Also includes answers to Supplemental Practice Problems and Facts Practice problems. Customer Reviews for Math 65, Third Edition, Solutions Manual This product has not yet been reviewed. Click here to continue to the product details page.
books.google.com - An engaging survey of the fundamental concepts of mathematics and the many ways math is used in everyday life. This is a stimulating and simple reintroduction to all the math we all learned in high school but have forgotten, using many examples of how math applies to the real world. Highlights the math... in numbers
The sixth edition of this best-selling text balances solid mathematical coverage with a comprehensive overview of mathematical ideas as they relate to varied disciplines. This book provides an appreciation of mathematics, highlighting mathematical history, applications of mathematics to the arts and sciences across cultures, and introduces students to the uses of technology in mathematics. Exercise sets are now organized into Concept/Writing, Practice the Skills, Problem Solving, Challenge Problems/Group Activities, Research Activities. An updated Consumer Math section including updated material on sources of credit and mutual funds. Motivational, chapter-opening material demonstrates connections between math and various other disciplines. KEY MARKET For those who require a general overview of mathematics, especially in the fields of elementary education, the social sciences, business, nursing and allied
Find a Devault Science'd like to turn your road block into a 10-lane un-obstructed super highway! In pre-algebra we learn the concept of numbers and how they are manipulated, managed, and represented on the xy-coordinate system. The crucial skills gained in this course include analysis of numerical relations and spatial-visual understanding of graphing principles
Workshop problems usually can be solved with mathematics, but as this interesting book shows, there's often a no-math solution too. In most situations, the savvy craftsman can get the answers either with math or by applying common-sense rules of thumb. This handbook presents both approaches so readers can choose what works best in their particular situation. With this handbook on the bench, readers will enjoy success in the workshop whether or not they are comfortable with mathematics.Hundreds of illustrations guide readers through the solutions to everyday workshop problems. Straightforward writing and a simplified approach to calculations lead readers step-by-step to the answers they need. Dozens of useful tables put essential reference information into this single, easy-to-follow resource. This practical handbook, packed full of facts, formulas and shortcuts, is essential for woodworkers of all skill levels. {"currencyCode":"USD","itemData":[{"priceBreaksMAP":null,"buyingPrice":17.03,"ASIN":"1892836157","isPreorder":0},{"priceBreaksMAP":null,"buyingPrice":19.29,"ASIN":"1892836211","isPreorder":0},{"priceBreaksMAP":null,"buyingPrice":16.17,"ASIN":"1565233425","isPreorder":0}],"shippingId":"1892836157::LDwubXYAgGXHEIEkpwgdkOzLmelfqdKKS3PqKT50in0J0Vt0nKWYcY5%2BkuCVDayhIV0BtDs2%2FGrRqHmWvUWjOhBePBUH1Uk6gI2YXLzurKM%3D,1892836211::oYbfH53Gk5jFQXh%2Bx94G5tkICo0vAQxdX0kIyLSngvnfJtp3cpxVxpvGAXDNgM%2FZZ%2FzKWOIsX6mqIA35WjmZXSRHKCU3AuX71ucIJpKxy3HglXP5C2styg%3D%3D,1565233425::LFMWRjg1fOckb3Mzf%2Bf93Qq%2Fgtrj%2B7O9NZaJdc0xfP5SpuqlqFsmSmZP%2BU%2BU6DrYooVFcn0QLn6p35my2bcleS5Z7XNlzyhFMFSt6UAx9 two books of Ken Horner (Woodworker Essentials one and two) are NOT beginning woodworker friendly. Ken Horner jumps in with both feet with math, math and math. The first couple of days I had to read the same chapters over and over. Then it all started to click. He (Mr. Horner) talks to the reader as intelligent readers. No spoon feeding here. Sooooooo.......whip out the calculater be patient and you will get out as much useful information as you want. So basically not an easy read but both books have become the first books I grab when I get stuck on an angle cut or anything else angle related. He gives you 'Just the Facts Ma'am). I didn't really need to buy this or it's sequel "More Essential ....". Perhaps this is meant for contractors (which I'm not), but I could have done without both of these. Not that there isn't stuff of interest in here, but I have the nuts & bolts of that from other sources. This is not a book for someone starting in woodworking. It's very hard to give a rating on this. If you need this technical information, they are both probably five star books. If you are a hobby woodworker like me, however, they are at best two stars worth of practical usage.
MA101 - Calculus I for the Natural Sciences Contact Andrew, the Lab Coordinator, as soon as possible if you are going to miss or have missed a lab session. There are no 'deferred' lab writes. Description of Lab Sessions: At the start of each lab session, a short introduction by the Laboratory Supervisor (or an undergraduate Instructional Assistant) will summarize the intended goals of the lab. A set of problems based on current work and required skill level will be handed out and each student will complete as much of the report as he/she can in the time allotted. Students should work independently on the problems, but may ask questions of the lab IA concerning general approaches, etc., to take. The final 20 minutes of the lab session will consist of a closed book quiz that's completed online using WeBWorK (introduced to students in first week). Schedule of Lab Topics/Lab Prep/Solutions: To help you prepare, see the "MA101 Lab Information" link under "Content" on the MA110 Lab MyLearningSpace homepage. The website will be updated on a weekly basis and contain weekly summary notes, an introduction to any additional applications, prep questions, solutions to assignments, and outline any Maple commands related to the material to be covered in the lab. The prep questions are to be completed online using WeBWorK and will be of great assistance when it comes to completing the online quiz! You should also review the relevant sections of the text and complete the assigned homework problems before attending the lab each week. *MyLearningSpace updates for Winter Courses will start early September, 2013.*
Math & Pre-Algebra Workbook For Dummies (Paperback) topic......more topics that probably inspired fear before will seem simple when you realize that you can solve math problems, from basic addition to algebraic equations. Lots of students feel they got lost somewhere between learning to count to ten and their first day in an algebra class, but help is here! Begin with basic topics like interpreting patterns, navigating the number line, rounding numbers, and estimating answers. You will learn and review the basics of addition, subtraction, multiplication, and division. Do remainders make you nervous? You'll find an easy and painless way to understand long division. Discover how to apply the commutative, associative, and distributive properties, and finally understand basic geometry and algebra. Find out how to: Complete with lists of ten alternative numeral and number systems, ten curious types of numbers, and ten geometric solids to cut and fold, Basic Math and Pre-Algebra WorkbookFor Dummies will demystify math and help you start solving problems in no time! Mark Zegarelli is a math tutor and writer, as well as the author of Logic For Dummies. He holds degrees in math and English from Rutgers University. For anyone who is looking to improve their math skills this product is the one to use. The intructions and methods used to solve the problems are simple and easy to understand. I have only one drawback of this product and that is there is not enough practice problems
Math MATH 065 - Fundamentals of Mathematics (5 Credits) The course covers addition, subtraction, multiplication, and division of whole numbers, fractions, and decimals. The course also includes an introduction to percentages, ratio and proportion, estimation and solving applied math problems. MATH 075 - Pre-Algebra (5 Credits) This course lays the foundation for the study of algebra. The topics covered include: whole number operations, fractions, decimals, percents, ratio and proportion, signed numbers, geometry, units of measurements, graphs, and statisticsMATH 085 - Beginning-Algebra (5 Credits) This introductory course in algebra covers the following topics: review of selected pre-algebra topics, introduction to set theory and the real numbers; algebraic expressions; linear equations in one variable and their applications; linear inequalities; introduction to graphing; systems of two equations in two unknowns and their applications; systems of inequalities; polynomial operations75 with a 2.0 or higher or placement by COMPASS or Math Placement Test. MATH 095 - Intermediate-Algebra (5 Credits) This course covers the following topics in algebra: review of selected elementary algebra topics; factoring polynomials; rational expressions; rational exponents and radicals; quadratic equations and complex numbers; functions and their graphs, and various non-linear equations or higher or placement by COMPASS or Math Placement Test. AMATH 170 - Mathematics for the Health Sciences (5 Credits) Mathematics for the Health Sciences is an introductory course developed to introduce mathematics concepts related to a variety of fields in the health sciences. The content is designed to promote student success in mathematics and to develop problem-solving skills. Topics covered include, but are not limited to: fractions, decimals, ratios/ proportions, percentages, measurement systems (metric, apothecary, and household), conversions involving dimensional analysis, dosage calculations, mixture calculations, body surface area and body weight calculations, introductory solution calculations, and a variety of health related application problems. Prerequisite: acceptable scores on the COMPASS test. AMATH 175 - Applied Mathematics for Business and Industry (5 Credits) Applied Mathematics for Business and Industry (5 credits) This course covers mathematics and its applications in business and industry. Instruction includes coursework in mathematics.) AMATH 185 - Applied Algebra for Business and Industry (5 Credits) This course covers algebra and its applications in a variety of programs. Instruction includes coursework in algebraAMATH 195 - Advanced Applied Algebra (5 Credits) This course offers students a higher level of applied algebra utilizing applications in a variety of programs. Instruction includes coursework in mathematics, with additional time devoted to studying the GPA or higher or placement by COMPASS or Math Placement Test. AMATH 205 - Intermediate Algebra with Analytical Geometry (5 Credits) This course covers sequences and series inequalities, conic sections, and the concept of limits. This course is offered through the Land Surveying/Land Survey Technician professional technical program. Please see the Land Surveying/Land Survey Technician profession technical program for prerequisites. MATH& 107 - Contemporary Mathematics (5 Credits) This college level course is provides a mathematical perspective of contemporary issues. The course is designed for students who do not intend to continue in mathematics or science. Topics vary but may include areas of finance, statistics, data analysis, logic, and applications relevant to humanities, social sciences and education. Content emphasis is on problem solving and quantitative reasoning. Prerequisite: Placement by COMPASS, or MATH 095 with a C- or better. MATH& 110 - College Algebra (5 Credits) This course covers the following topics: functions and graphing; logarithmic and exponential functions; theory of equations; nonlinear systems of equations; conic sections; topics in linear algebra; induction, sequences and series; combinatorics and probability. This class is taught either in traditional lecture mode or through individually tailored, interactive computer instruction that provides the student's primary method of learning, with the instructor available to assist students on an individual basis during the class period. Prerequisites: Completion of MATH 095 with a 2.0 or higher, or placement by COMPASS or Math Placement Test. MATH& 141 - Pre-Calculus I (5 Credits) Elementary functions, their graphs and transformations of their graphs, with applications to mathematical modeling. Examples include linear, quadratic, polynomial, rational, exponential, logarithmic, composite functions, and inverse functions. Prerequisite: completion of Math 95 with a 2.0 or higher or placement by assessment. MATH& 142 - Pre-Calculus II (5 Credits) Trigonometric and inverse trigonometric functions, their graphs and transformations of their graphs, with applications to mathematical modeling. Solving trigonometric equations, the derivation and use of trigonometric identities. Polar coordinates and parametric equations, with applications to mathematical modeling. Conic sections, with applications to mathematical modeling. Prerequisite: completion of MATH& 141 with a 2.0 or higher or placement by assessment. MATH& 146 - Intro to Statistics (5 Credits) This course is an introduction to statistics and how it may be applied in the analysis of numerical data. It includes the following topics: structure of data sets, central tendency, dispersion, means, standard deviation, correlation, regression, binomial and normal probability distributions, sampling methods, and hypothesis testing. Prerequisites: Completion of MATH 095 with a 2.0 GPA or higher, or placement by COMPASS or Math Placement Test. MATH& 148 - Business Calculus (5 Credits) Introduction to Differential and Integral Calculus of elementary functions with emphasis on business applications and its use in optimization. Prerequisite: completion of MATH& 141 with a 2.0 or higher or placement by assessment. MATH& 151 - Calculus (5 Credits) Differential calculus. The definition and interpretation of the derivative, with applications to mathematical modeling. Derivatives of algebraic and transcendental functions. Prerequisite: completion of MATH& 142 with a 2.0 or higher or placement by assessment. MATH& 152 - Calculus II (5 Credits) Integral calculus. The definition, interpretation and application of the definite integral. The Fundamental Theorem of Calculus, techniques of integration and definite integrals involving parametrically described curves. Introduction to differential equations. This class is taught either in traditional lecture mode or through individually tailored, interactive computer instruction that provides the student's primary method of learning, with the instructor available to assist students on an individual basis during the class period. Prerequisite: completion of MATH& 151 with a grade of 2.0 or higher.
Pre Algebra- The purpose of this course is to assist students in making the jump from basic mathematics to algebra. We will spend the first third of the year sharpening skills such as ... Algebra I-Saxon's newest edition of Algebra I, the 4th edition ... Algebra II-Saxon's Algebra2 is the ... With the addition of a third math teacher, class size for math has been reduced in the third grade Saxon ... 4-8 are in an accelerated math program and successfully complete Algebra by ... of TerraNova was used in 2006-2008. The ThirdEdition/2008 of TerraNova was used in ... ... almost half of all adults could not perform tasks at the level necessary as defined by the third level of quantitative proficiency, ... And according to Boylan and Saxon ... Algebra ASSET AR 19 460 41 Inter. Alg: ... ... Century 21 Accounting, 1st Year, 6th Edition (Southwestern Publishing) 1995. Fee: ... This is the third course in the Communications/broadcasting sequence at Gillespie ... 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This course, designed for Miami Dade Community College, integrates arithmetic and beginning algebra for the undergraduate student. By applying math to real-life situations most students experience during college, the... Presented by HippoCampus, a project of the Monterey Institute for Technology and Education, this free online course follows up on a previous course, Algebra 1A, which "develops algebraic fluency by providing students... Created by artist Cynthia Wilson at Spokane Falls Community College, this lesson combines art, geometry, and algebra to create two-dimensional models for abstract paintings. On this page, visitors will find a very... The University of Akron has created these excellent algebra tutorials that review some of the main topics in the discipline. There are ten lessons, which focus on topics like radicals and exponents, basic algebra,... Go with Alice to a wonderland of math! This website utilizes Lewis Carroll?s bright universe and most-recognizable character in order to teach mathematical concepts. Many students may feel as though they have s...
IBMathematicalStudies. An InThinking workshop for teachers new to the course. ... It might be something you feel passionate about at least strongly enough to have debated on it in the past. ... Here are errors that occur frequently on exam papers. Knowing the difference between the number ... Welcome to the start of a new school year! This year, IB Learning Partners will be studying the ... The majority of these students will expect to need a sound mathematical background as they prepare for future studies in subjects ... There are two papers at the end of the two year ... Many students taking physics courses have not reached a point of mathematical proficiency to solve computations, ... This project has been written up in previous research papers (Source 1, 2, ... IB Math Studies ... International Baccalaureate Diploma Subject Area Descriptions. Group One, ... 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Criteria for MathematicalReasoning courses (requires placement via placement exam) I. Description of Purpose and Content The ability to understand and apply quantitative, mathematical and computational reasoning is an Mathematicalreasoning and proof offer powerful ways of developing and expressing insights about a wide range of phenomena. People who reason and think analytically tend to note patterns, structure, or regularities in both Focusing on MathematicalReasoning 16 their own story problems to reinforce the connection between computation and real-life skills. Share the problems with the class, providing a mixture of computational Reasoning with Functions F UNCTIONS are one of the most important mathematical tools for helping students make sense of the world around them, as well as preparing them for further study in mathematics represent and write about mathematicalreasoning. Presenting tasks to students that are open-ended and rich in context provides stu-dents with opportunities to develop reasoning skills. When we present problems to Project: 30% + 5% - Each participant will create a task (or set of tasks) that helps to develop mathematicalreasoning in their students. Participants are expected to present their tasks and rationale on the last day of the course. 3. Being clear about the differences between quantitative reasoning and mathematical content knowledge relates closely to the fairness and validity of assessments. Thus it is critical to specify for any quantitative reasoning assessment what mathematical MATHEMATICALREASONING IN TASK SOLVING 167 i) is founded on mathematical properties of the components involved in the reasoning, and ii) is meant to guide towards what probably is the truth, without neces- mathematicalreasoning and justification based on some understanding of directly proportional relationships. Sample Performance Assessment (SPA) for Number and Operations Your local school board has decided to focus on the how mathematics By mathematicalreasoning or logical reasoning we mean—and we believe that state standards should include in a significant way—precise deductive reasoning. Deductive reasoning skills are crucial in mathematics (as well as in many other walks of life). 1 Focus in High School Mathematics: Reasoning and Sense Making Questions and Answers 1. What do reasoning and sense making mean? In mathematics, reasoning involves drawing logical conclusions based on evidence or
When I received documents from my students I mark them electronically and convert them from the original format e.g. a word document to PDF. Then I put a custom stamp called "Marked" and put my signature on it which also has the date on it which denotes the date of marking. This is collected as part of the evidence for audits. This is an e-Portfolio which I had originally created using Acrobat Pro 9 and then converted to Acrobat Pro XI. This is recorded on a CD or USB and given to each student/trainee as resources, activities and assessments. It is a guide to what they have to complete and when we meet fact to face clarification can be made. It contains my profile, information on all the units of the course. Each unit is then in the respective folder with the unit title and code. the activities and resources are within the folderThere are so far 8 common methods to solve quadratic equations in standard form ax^2 + bx + c = 0. They are: graphing method, completing the squares, factoring FOIL method, quadratic formula, the Bluma method, the Diagonal Sum method, the factoring AC Method, and the new Transforming Method. When the given quadratic equation can be factored, the 2 best solving methods are the popular factoring AC Method and the recently introduced Transforming Method. This article generally describes these 2 methods then compare them through specific examples. There are so far 8 common methods to solve quadratic equations in standard form ax^2 + bx + c = 0. So, sometimes students are confused to select the best solving method. When the quadratic equation can be factored, the new Transforming Method (recently introduced on Adobe Edu Exchange website) would be the best choice since it can immediately obtain the 2 real roots without factoring and solving the binomials. When the equation can't be factored, the quadratic formula would be the obvious choice. Reminder: there is an improved quadratic formula called "The quadratic formula in graphic form" that may be simpler and easier to remember. Studies on solving methods of quadratic equations have been various and diversified. There are so far 8 common solving methods. They are: graphing, completing the square, factoring FOIL method, quadratic formula, the Bluma Method, the Diagonal Sum Method, the improved factoring AC Method, and the new Transforming Method. The Diagonal proceeds through a very different way from other methods. It directly find 2 real roots, in the form of 2 fractions, knowing their sum (-b/a) and their product (c/a). This article explains the concept and practices of this new solving method. So far, the systematic factoring AC Method has been the most popular one to solve quadratic equations in standard form ax^2 + bx + c = 0. However, this method can be considerably improved if we apply the Rule of Signs of a quadratic equations into its solving process. This article generally explains how does the Rule of Signs improve the AC method. When a = 1, the improved method can immediately obtain the 2 real roots without factoring by grouping and solving the binomials. Visual Design: Foundations of Design and Print Production is a yearlong, project-based curriculum that develops career and communication skills in print production and graphic design, using Adobe tools. Visual Design develops four key skill areas:Project management and collaboration Design Research and communication Professional print production using graphic design tools Students develop these key skills in a spiral—each project adds more challenging skills to foundation proficiencies. Students experience subject areas and skills across careers in graphic design, photography, print and layout design, and production. Adobe collaborated with a community of educators across the US and UK to develop the appropriate depth and breadth of each project. Additionally, Adobe collaborated and co-developed this content with the International Society of Technology Education (ISTE) to create standards-aligned, career-track, course materials that focus on print production and graphic design. Vi... Read More
This book came to join some other very good works in the literature of Clifford algebras. It is a clear and concise introduction to Clifford algebras directed to advanced undergraduate and graduate students. The work it divided into three major parts. The first part is concerned with the background needed to develop the theory of Clifford algebras. Some definitions and results involving the concepts of groups, vector spaces and algebras are recalled, and taking advantage to fix the notation and terminology used in the rest of the text. The second is the main part of the book, where Clifford algebras are constructed over real quadratic spaces. Real Clifford algebras have a much richer structure than the complex Clifford algebras, and this is exploited in detail. All important properties of Clifford algebras are discussed, in particular the periodicity theorems, which are key to their classification. Spinor spaces and spin groups are also discussed. The final part of the book is concerned with applications of Clifford algebras. Some important applications in Physics (as in Maxwell and Dirac equations), generalizations of complex analysis, and differential geometry, are discussed in order to call the reader's attention and to invite him/her to go deeper in those studies, using references that are suggested at the end. The book has dozens of exercises distributed throughout the text. In the opinion of this reviewer, the book is well written and is recommended to all those wishing to start a mathematical study of Clifford algebras.
Math Textbooks These comprehensive, completely digital math textbooks are fully interactive and engage students with hundreds of activities and whiteboards, thousands of interactive problems, audio, video lectures, built-in scoring, and much more. The textbooks are available for Pre Algebra Focuses on the fundamentals of algebraic expressions and equations, includes extensive work with ratios and proportions, and introduces several other topics, including functions and graphs, geometry, exponents, and polynomials. Algebra I The curriculum focuses on solving more sophisticated linear equations, inequalities, graphing lines, systems of equations, exponents, and polynomials. It concludes with rational, radical, and quadratic equations. Algebra II Focuses on solving and graphing polynomials, exponential and logarithmic functions, sequences and series, conic sections, probability, and trigonometry. This extensive curriculum covers all the topics found in most pre-calculus courses. Geometry Focuses on reasoning and proof, congruent triangles, similar figures, transformations, circles, area and volume, conics, probability, and right triangle trigonometry. This extensive curriculum covers all the topics found in most geometry courses. Math Online Homework Online grading is available for all math texts. The required functionality is built into the digital text and can be activated for $10 per student per year. More information "We adopted the Kinetic Books Algebra text for this school year and couldn't be happier. The students love the interactive features and the instant feedback, and the faculty is thrilled that the text shows all the work in proper form so that the students are able to demonstrate the process through which they obtained their answer." - Pennsylvania Teacher Home school families, please check out our home school web site describing new math products designed specifically for you. The textbooks are available in three versions, designed to meet the needs of different physics courses. Conceptual Physics Algebra-based designed text for students taking their first physics course in high school. Principles of Physics Designed for high school students who want to take the Physics AP/B exam. This text is more rigorous than Conceptual Physics but does not require calculus. Physics for Scientists and Engineers Comprehensive, calculus-based textbook, appropriate for high school students who want to take the Physics AP/C exam. Physics Labs Virtual labs, covering topics ranging from one-dimensional motion to special relativity, augment any physics instructor's toolkit. Students can discover the principles of orbits and conduct a mission to Mars, learn projectile motion with a multi-player cannon exercise, interact with wave superposition and create stringed-instruments, experiment with charges in electric fields, build an RLC circuit and analyze it with a virtual oscilloscope, and much more. Physics Online Homework Online grading is available for all physics texts. The required functionality is built into the digital text and can be activated for $10 per student per year. More information "Kinetic Books increases the learning potential that each student has on their own. It's better because several learning styles are addressed at once. About the only thing this book doesn't do is make kids get up and dance..though we've been close at times." - Kentucky Teacher
By June E. Oliver. An enjoyable way to introduce a variety of topics for algebra. Each placemat focuses on a specific algebra topic and contains a range of activities that may include matching activities, simple problem solving, true-fal.. By June E. Oliver. Blackline masters include a review of functions, continuity and limits, differentiation and its applications, and integration and its applications. The jokes reinforce the concepts. 67 pages, spiral bound. Contains ample d.. The Standard Deviants once again bring you complicated math concepts in an entertaining and comprehensible manner. This six-title set is great for complimenting or supplementing your regular math curriculum. Get your fill of degree and radiant measu.. .. Students can make sense of linear equations by matching slope and y-intercept cards. They will quickly grasp the relationship between cards and how graphs, point pair, slope, and y-intercept fit with equations. When used together, decks provideBy Harry T. Roman A game designed to improve factoring of quadratic equations and binomial expansions. Students are challenged to find the right answers within 30 seconds in order to earn points. Game challenges students to practice algebrai.. An assortment of 6 releasable, adhesive-backed 3" x 3" graph paper pads mounted on 8-1/2" x 11" card stock. The pads and card stock can be stored in a 3-ring binder. Instructions are on the back of the card stock. Each pad ha.. Prices listed are U.S. Domestic prices only and apply to orders shipped within the United States. Orders from outside the United States may be charged additional distributor, customs, and shipping charges.
WEB MATH: An Interactive Tutorial for Mi 1999 This web page will teach middle school students Pre-Algebra and Algebra I concepts using step by step tutorials and interactive pages. The tutorial pages will teach the formulas and concepts involved in Pre-Algebra and Algebra. Using VB Script and Java Script, the interactive pages will generate problems that will test what the student has learned, check answers for correctness, and provide feedback.
Matrix Algebra: An Introduction (Quantitative Applications in the Social Sciences) Book Description: Matrix Algebra is a vital tool for mathematics in the social sciences, and yet many social scientists have only a rudimentary grasp of it. This volume serves as a complete introduction to matrix algebra, requiring no background knowledge beyond basic school algebra. Namboodiri's presentation is smooth and readable: it begins with the basic definitions and goes on to explain elementary manipulations and the concept of linear dependence, eigenvalues, and eigenvectors -- supplying illustrations through fully-worked examples
More About This Textbook Overview Mathematics of Fuzziness – Basic Issues introduces a basic notion of 'fuzziness' and provides a conceptual mathematical framework to characterize such fuzzy phenomena in Studies in Fuzziness and Soft Computing. The book systematically presents a self-contained introduction to the essentials of mathematics of fuzziness ranging from fuzzy sets, fuzzy relations, fuzzy numbers, fuzzy algebra, fuzzy measures, fuzzy integrals, and fuzzy topology to fuzzy control in a strictly mathematical manner. It contains most of the authors' research results in the field of fuzzy set theory and has evolved from the authors' lecture notes to both undergraduate and graduate students over the last three decades. A lot of exercises in each chapter of the book are particularly suitable as a textbook for any undergraduate and graduate student in mathematics, computer science and engineering. The reading of the book will surely lay a solid foundation for further research on fuzzy set theory and its applications. Editorial Reviews From the Publisher From the reviews: "Aptly titled, it is an interesting undergraduate course resource for those who are just getting their feet wet in the study of fuzziness. … All basic concepts are duly presented … . authors manage to marry two things that other textbooks fail to: extensive coverage of topics in only 200 pages in combination with a wealth of end-of-chapter exercises. … reviewer wishes that this volume was available when he was an undergrad! Summing Up: Highly recommended. Upper-division undergraduates, graduate students, and general readers." (G. Trajkovski, Choice, Vol. 47 (3), November
Mathematics Of Voting And Elections A Hands-on Approach 9780821837986 ISBN: 0821837982 Pub Date: 2005 Publisher: American Mathematical Society Summary: The results of an election depend not just upon the wishes of the electorate, but also upon the mathematics used to calculate the result. Using numerous case studies & featuring discussions of actual elections from the perspectives of both politics & popular culture, this text explores vote counting systems. Hodge, Jonathan K. is the author of Mathematics Of Voting And Elections A Hands-on Approach, publishe...d 2005 under ISBN 9780821837986 and 0821837982. Two hundred fifty one Mathematics Of Voting And Elections A Hands-on Approach textbooks are available for sale on ValoreBooks.com, one hundred forty two used from the cheapest price of $6.00, or buy new starting at $40
GMAT Math Section The GMAT Math section of the GMAT CAT tests the Math skills of the student. The student is expected to answer 37 Math questions in 75 minutes. The GMAT Math questions are all multiple choice and dealing with subject matters ranging from Number Systems Percentages Fractions Decimals Algebra (including Quadratic Equations) Geometry (including Basic Coordinate Geometry) Ratio & Proportion Area & Volume of 2-D and 3-D figures Probability The list is a never ending one. These GMAT Math questions are basically of two kinds in nature Problem solving Data Sufficiency Questions pertaining to both the fields are given in a combined format. GMAT Math - Problem Solving The questions that deal with problem solving are completely mathematical by nature. They are related to the subject area such as Arithmetic, algebra, and geometry. The student is presented with a problem and five consecutive answers. He is required to choose the correct answer for the question. The only way to arrive at the correct answer is through solving the problem presented to him. The fundamental requirement for answering these GMAT Math questions is basic mathematical knowledge. The difficulty level for these questions does not exceed the general high school mathematics. GMAT Math - Data Sufficiency The Data Sufficiency questions are a type that is exclusive to the GMAT CAT. While dealing with a Data Sufficiency problem, the student is face with a question that is followed by two numbered statements. the student is expected to examine the statements and resolve whether the information contained there is sufficient to answer the question. This question category helps to determine not just the understanding of general mathematical concepts, but also the student's skill in evaluating data for its content and relevance. Many students find the questions dealing with Data Sufficiency perplexing and the most difficult in the entire GMAT CAT. Many institutes that coach the students for GMAT exam focus chiefly on familiarizing the student with this format of questions. The students are taught to deal with this section through specific techniques and strategies that throw light on how to easily approach even the trickiest Data Sufficiency questions
ractional Calculus: Theory and Applications of Differentiation and Integration to Arbitrary Order This text explains the theory underlying the properties of the generalized operator and its many applications. Topics include integer order, ...Show synopsisThis text explains the theory underlying the properties of the generalized operator and its many applications. Topics include integer order, functions, semiderivatives and semi-integrals, and applications in calculus and diffusion problems. 1974 edition.Hide synopsis
A lot of machine learning techniques were appropriated from statistics, so just studying statistics will expose you to a lot of what's out there, especially the different kinds of regression. Understanding probability is essential for anything with the word "Bayesian" in it and also helps to understand how monte carlo techniques work (although I find them pretty intuitive). Linear algebra will help you understand the nitty gritty of how a lot of ML algorithms work. You've probably seen algorithms described as "vectorized" to make them more efficient: this basically means that they deal with arrays using matrix multiplication (linear algebra) instead of looping through array elements using programmatic flow-control elements like FOR or WHILE loops. A modest handle on linear algebra helps understand the formulas of vectorized algorithms, especially stuff like neural networks. Finally, some of the more robust theory (such as the backpropagation algorithm for neural networks) requires some calculus to understand. I threw graph theory in there because graphical models are pretty cool (e.g. Hidden Markov Models), but you can really handle the math involved with those with probability alone. Thanks for the quick response, I have taken Statistics, Calculus I and Calculus II but quite a lot of time has passed since then. I've also been exposed to monte carlo techniques as well. I'm trying to put together a curriculum for myself for home/night school after work. So far I have the following: Honestly, I'm in sort of a similar position and have been...surveying/collecting available resources online. That lecture series you posted is amazing, but really math heavy. I wouldn't recommend it as a starting point. The same prof does a more general class that was really popular last fall. The video lectures are interactive (they prompt you to answer questions to make sure you're getting the material) and designed for general consumption, and you're expected to submit homework and take quizzes. I took the course last fall and enjoyed it. sign-up here Here's another video series: Stanford Stats 202 @ Google Tech Talks. The first half of this course is a combination of basic stats/probability and basic excel/R usage which you can most likely skip through. In fact, the main reason I recommend you check this out is because Andrew Ng teaches you to use Octave/Mathematica which doesn't have tons of readily avialable ML libraries, whereas this course teaches R which has tons. If you need prob/stats from the ground up, check out Khan Academy. These lectures are designed for middle/high school if you really need the remedials. Khan academy also offers calc. For a more advanced prob/stats, check out Intro to Prob and Stats Using R I'd say you hit the nail on the head. Graph theory is very useful for programming in general. There are many highly useful probabilistic graphical models. For modeling in general you should look into partial differential equations. At the very least familiarize yourself with how to manipulate dirac deltas, unit steps and mathematica. :) Combinatorics are often quite useful, but probably not strictly necessary. I'd say that most of the time, if you're making frequent use of graph primitives in your machine learning programming, you're Doing It Wrong. Graphs are mainly useful as an illustrative tool for conveying the conditional independence semantics of a given model. You can, of course, go off and write yourself general purpose [loopy] belief propagation code/general purpose sampling code, and use these to implement EM or your favourite flavour of Bayesian inference, and a number of people have done this (with the most successful example I'm aware of being Infer.NET from Microsoft Research). However, 90%+ of the time, especially if you're working with relatively few kinds of variables or a very regular graph structure, you can condense any specific graphical model into a set of code that is easier to think about, easier to maintain, and faster to execute, as it can take advantage of the specific structure of the problem being solved. You could take general purpose BP code and implement EM for hidden Markov models (a.k.a. the Baum-Welch algorithm) or a Gaussian mixture model, but it would be foolish. The exceptions to the rule would be in if you were doing structure learning (which is kind of uncommon and doesn't work particularly well, in my experience), or trying to infer a ton of latent quantities at once/utilize may sources and kinds of observed data at once with a complicated pattern of conditional dependence. EDIT: I stand behind the other book recommendation for those interesting in ML and programming, but from what I've read of "Probabilistic graphical models: principles and techniques," it is seems to be an insightful book as well. Right and you could actually remove the cycles from BP using junctions trees, making use of every elementary concept from graph theory in the process. Or write an implementation of page rankKnowledge of graph theory gives a researcher the ability to reason about the solutions to high dimensional problems. These might have direct results, as in spectral clustering from laplacian eigenmaps(and probably many other forms of nonlinear dimensionality reduction), or they might simply reduce a problem with high running time into a well-studied one where there is an efficient algorithm. Machine learning is heavily programming after all. :) Maybe I'm biased because I work in computational biology, but I make frequent use of graph theory in communicating results and studying problems. We also looovvveeeee hidden markov models. In other fields like NLP and image analysis I suspect their feature extraction algorithms are motivated by the graphical structure of the observation. Structured learning as well is incredibly important. The biggest problem to me and other computational biologists/bioinformaticians/biophysicists/et al. is the protein folding problem, which can only be naturally represented to ML as structured input/structured output. In fact that is exactly what the leading sequence-based algorithms make use of. The two first place algorithms, last time I checked, were structured recursive NN and structured SVM. They don't work very well, ~70% error in predictiion of boolean contact maps representing contacts between amino acids in proteins, but they are apparently the best representation that multiple fields of well-funded and extremely-motivated researchers have derived. Right and you could actually remove the cycles from BP using junctions trees, making use of every elementary concept from graph theory in the process. Right, and there's a very good reason that nearly nobody uses junction trees in practice, preferring to use loopy BP instead. Knowledge of graph theory gives a researcher the ability to reason about the solutions to high dimensional problems. These might have direct results, as in spectral clustering from laplacian eigenmaps (and probably many other forms of nonlinear dimensionality reduction). Insofar as certain aspects of graph theory are just applied linear algebra, this is true. But the bulk of classical graph theory concerned with discrete optimization problems (spanning trees, shortest paths, flow networks) come up fairly rarely in my experience. There are some interesting approaches to approximate inference in MRFs that employ graph cuts, but these are a fairly rare exception. or they might simply reduce a problem with high running time into a well-studied one where there is an efficient algorithm. Again, insofar as mapping the precise semantics of a graphical model to the algebra that underlies them, this is true. I'd argue that a course in algorithm design (greedy strategies, divide and conquer, dynamic programming, approximation algorithms) would be of more utility in understanding how most efficient inference schemes boil down. The amount of graph theory necessary to grasp these topics is about what you'd learn in the first 15 minutes of a graph theory lectureIn all of those cases, with perhaps the exception of certain approaches to causal inference, you're working with extremely special cases of general graphs, and most of graph theory is of little practical use. Efficient implementations of decision trees will rely on sorting algorithms more than they rely on anything graph-theoretic. CRFs are usually chain-structured, making the loss function that pops out trivial to compute, most of the work being in picking an efficient gradient-based numerical optimizer. Restricted Boltzmann machines, with which I work quite frequently, have a very convenient structure because of what it implies about conditional independence (i.e. a factorial posterior over hidden units given visibles and vice versa) but implementation-wise, they boil down to a few dense matrix multiply; the real magic is in designing efficient samplers for estimating the gradient of the partition function. All of these things can be thought of as graphs, but it doesn't really behoove one to do so except at a very simplistic level, and nothing particularly interesting comes of knowing anything more than the definition of a vertex, an edge, and perhaps the meaning of the word "bipartite". Structured learning as well is incredibly important. I was talking about structure learning, rather than structured learning. Structure learning refers to basically attempting to infer where and in which direction the edges are in a graphical model; what you're talking about is learning with structured constraints on the outputs, which is a bit of a different ball game. I used to work in bioinformatics myself, and I'll agree that there's a bit more play in domains where inputs and/or outputs can be readily thought of as networks. It really depends on how deeply you want to understand whats going on. Kernel methods are a pretty big deal these days and if you want to understand the gritty details you will need some functional analysis. That's a pretty heavy book (although it's definitely good, as are Bishop's online lectures). I'm trying to chew my way through it right now. Also, It requires good knowledge of linear algebra and calculus, which is causing me problems (it's been a while since undergraduate maths for me). As for pure mathematics, linear algebra and multivariate calculus. Basic, first-semester type linear algebra will get you by for the basics, but the more the better. In particular, a thorough understanding the spectral theorem will make your life easier. Basic probability and statistics is equally important. Things like hypothesis testing don't come up much but they're useful to know. Most of the relevant stuff about linear models will be covered in any ML course or textbook worth its salt. If I have a basic understanding of statistics and calculus what would be the minimum amount of material I would need to cover to get going? I'm looking for books and websites where I could review calculus and statistics and then pick up the other topics you mentioned more comprehensively. I really like Multivariate Mathematics by Theodore Shifrin. It tries to cover linear algebra and single/multivariate calculus in a unified way. It's a few years old so if you hunt around some used book sites (Alibris, Powell's) you should be able to find a used copy for not too much. All of Statistics by Larry Wasserman is a good high-level book on basic probability and statistical inference. It is not a rigorous measure-theoretic treatise on probability theory but it assumes some degree of mathematical maturity; however it omits most proofs unless they are particularly illustrative of some point. For really quick introductions, an old mentor of mine named Sam Roweis (R.I.P.) wrote a couple of very rudimentary primers that you can find here. The probability slides are quite brief but cover a wealth of topics (much like the Wasserman book, which Sam actually recommended to me many years ago). I first read the linear algebra primer in my second year of university, and even though I'd been through one semester of linear algebra, reading those notes was the first time it actually "clicked" what was going on when you multiplied a vector by a matrix, etc. Which spectral theorem? There are many... One on hand you should understand what PCA is, how kernel methods are applied to PCA, randomized PCA, partial least squares, laplacian eigenmaps, the fiedler vector, random matrix theory, what the significance of the eigenvector/values of a hessian matrix are, at least one algorithm to compute the SVD. I was specifically talking about the one that states that the set of orthogonally diagonalizable operators are precisely the set of self-adjoint operators, and that the eigenvalues of said operator are real. Once you wish to go to specific topics, there are more books. Some of these have excellent online courses in youtube, mit open courseware. Check them out. It depends on how much background you need in math. Some areas are more basic in their math than others.
Navigation Home - 8th Grade Math This sight is designed to help students and parents understand my classroom expectations, quickly see what homework is due, check dates for upcoming quizzes/tests, and provide resources for online math help. This school year there are three core standards for eighth grade mathematics: Algebra: Linear Equations Geometry & Measurement: Lines and Angles Data Analysis: Analyze and Summarize Data Sets Each of these core standards has its own textbook. Teachers have classroom sets. Books are also available for overnight checkout in the library. Each book may also be accessed online. Passwords for using online books will be sent home with students. Please feel free to call or email if you do not have the password. I encourage students and parents to use this convenient recourse for homework help, reviewing for quizzes and tests, and printing homework if a student is absent.
Find a Dunstable StatisticsAlgebra 2 expands upon the principles students learned in Algebra 1, including rules of operations and relations. The topics studied in Algebra 2 include equations and inequalities, quadratic functions, powers and polynomials. Students who study Algebra 2 work to solve equations using matrices.
Exploring mathematics by L. Carey Bolster( Book ) 25 editions published between 1991 and 1996 in English and held by 312 WorldCat member libraries worldwide Invitation to mathematics by Foresman and Company Scott( Book ) 22 editions published between 1985 and 1988 in English and held by 199 WorldCat member libraries worldwide A set of 9 textbooks intended for elementary school use Mathematics around us : skills and applications by Richard A Lesh( Book ) 18 editions published between 1975 and 1985 in English and held by 169 WorldCat member libraries worldwide The materials also require pupils to tell time to the quarter hour, count money, unravel codes, and the interpret pictographs. The teacher's gude includes full color reproductions of pages from the pupil's book, stated objectives, assignements and lists of additional activities for each lesson. The specified instructional level includes grade 2. This material comprises levels 7 through 12 of the 48 - level "Mathematics Around Us: Skills and Applications" series. Component materials may be purchasd separately. Supplementary workbooks, duplicating masters, tests and record cards may also be purchased separately. JAG, 4-76 Pre-algebra by Clyde L Corcoran( Book ) 5 editions published in 1987 in English and held by 87 WorldCat member libraries worldwide Scott, Foresman mathematics by William H Nibbelink( Book ) 6 editions published in 1983 in English and held by 75 WorldCat member libraries worldwide A mathematics textbook for eighth grade Invitation to mathematics [grade 6] by L. Carey Bolster( Book ) 7 editions published between 1985 and 1988 in English and held by 31 WorldCat member libraries worldwide Covers addition, subtraction, multiplication and division of whole numbers, decimals, fraction Exploring mathematics by L. Carey Bolster( Book ) 10 editions published between 1991 and 1996 in English and held by 30 WorldCat member libraries worldwide Mathematics around us: skills and applications/grade 8 by L. Carey Bolster( Book ) 6 editions published between 1975 and 1978 in English and held by 28 WorldCat member libraries worldwide Mathematics Around Us: Skills and Applications/Grade 8 is part of a series designed to teach basic skills and concepts of 17 content strands through repeated experiences with concrete objects and everyday illustrated story problems. In this text, pupils are asked to work with negative exponents, find square root, measure the volume of pyramids and cones, read and understand scientific notations, write equations involving more than 1 operation, and use Venn diagrams Invitation to mathematics [grade 2] by Foresman and Company Scott( Book ) 12 editions published between 1985 and 1987 in English and held by 27 WorldCat member libraries worldwide Invitation to mathematics by Foresman and Company Scott( Book ) 9 editions published between 1985 and 1987 in English and held by 25 WorldCat member libraries worldwide
Secondary Curricula Carnegie Learning Geometry incorporates the van Hiele model of Geometric thought; a theory that describes how students learn geometry. Our curriculum will enable students to develop a deep understanding of Geometry. The course assumes number fluency and basic algebra skills such as equation solving. Carnegie Learning Geometry is aligned to NCTM and Achieve standards. It is designed to be taken after an algebra course and can be implemented with students at a variety of ability and grade levels. Please use the tabs below to learn more about the features and contents of this curricula and its various implementation options. Use the content browser on the left to view videos and image galleries of the new enhancements. Tools of Geometry Introduction of Proof Perimeter and Area of Coordinate Plane Three-dimensional Figures Properties of Triangles Similarity Through Transformation Congruence Through Transformation Using Congruence Theorems Trigonometry Properties of Quadrilaterals Circles Arcs and Sectors of Circles Circles and Parabolas Probability More Probability and Counting Geometry content can be delivered in a blended course format, with a combination of collaborative, student-centered textbook lessons and adaptive Cognitive Tutor software lessons. Can be used as core instruction. Carnegie Learning Geometry content can be delivered via textbooks that support a collaborative classroom. Our classroom activities address both mathematical content and process standards. Students develop skills to work cooperatively to solve problems and improve their reasoning and communication skills. Our Geometry content is available in our Adaptive Math Software Solutions, which are packages that feature our research-based Cognitive Tutor Software product line. Available in both the Carnegie Learning Adaptive High School Solution and the Carnegie Learning Adaptive Secondary Math Solution.
The content of Developmental Math is divided into 10 units. To view the content of the units and sample problems, click here. NOVA offers the Math Technology-Based (MTT) courses that provide instruction of the 10 units (numbered as Units 0-9) using a modified emporium model. The courses offered at NOVA are: MTT 4 4 credits MTT 3 3 credits MTT 2 2 credits MTT 1 1 credit BSK 1 1 credit – Unit 0 only You must complete the Virginia Placement Test before enrolling in any math course. Students are encouraged to meet with a counselor or an advisor after taking the Virginia Placement Test but before registering. The student needs to determine the required entry credit math course, depending on their program of study, and to look at the units from which they are exempt based on placement scores. The advisor will then identify the specific units the student needs to study to reach his or her exit point. Students who need to start with Unit 0 should sign up for BSK 1.It is a four-week course. Students working in Units 1-9 sign up for an MTT course.NOVA will use the 4 credit course, MTT 4, as the "default" for most students who do not need Unit 0, specifically, those who are known to need at least 4 units to reach their desired exit point, or those who aren't sure in advance how many units they need. Those who need fewer than 4 units will need permission to register in MTT 1, 2, or 3, if they need 1, 2 or 3 units, respectively, to reach their exit point (see the table below). Students who register for BSK 1 may -- at the same time – also register up for an MTT 3 course which begins when the BSK 1 course finishes. Students who do not complete BSK 1 successfully will be withdrawn from MTT 3. Unsuccessful students with financial aid will have their aid amount recalculated unless they find another 3 credit course to use as a replacement. If they do not register in another 3 credit course, they will need to return some of their aid. The units you are required to complete and your exit point from developmental math depend on the entry credit mathematics course required by your program of study: ENTRY CREDIT MATH CLASS COMPLETE MTH 126 UNITS 0 - 3 MTH 150, 151, 152, 157 UNITS 0 - 5 MTH 115, 181 UNITS 0 - 6 MTH 163, 166 UNITS 0 - 9 MTT courses use mastery-based learning allowing students to test out of material that they have already mastered to assist with completing developmental math more quickly. MTT courses offer the the redesigned version of MTH 1, MTH 2, MTH 3 and MTH 4, allowing the student to concentrate on units of material based on individual strengths and weaknesses. Students work on MyMathLab for instruction, assignments and assessments while receiving one-on-one assistance from the instructor. Students are also expected to work on MyMathLab outside of the scheduled class times and required lab hours. The number of attendance hours required depends on the session you are attending. Attendance is counted as part of the final grade.Students are required to work in the MASTER Math Lab on the campus where your class meets. What are some of the benefits the redesigned developmental math courses? ·You have the opportunity to complete developmental math quickly. Students are encouraged to work through the course material as quickly as they can absorb and master the material. Students who understand the concepts in a unit can move through the unit quickly and don't have to adjust their pace to slower students in the class. ·You have the opportunity to test out of material you already know. Students start each unit by taking a pretest. If a student passes the pretest s/he can move directly on to the next unit without spending time on material s/he has already mastered. ·You don't have to repeat an entire course. Previously, a student who failed a developmental math course had to repeat the entire course even though s/he may have already mastered the material covered in the first part of the course. Under the redesign, once a student has shown mastery of a particular topic s/he won't be asked to retake that topic and can concentrate on learning and mastering new material. ·You can receive one-on-one instruction from your teacher. The instructor of a section of an MTT course will circulate through the classroom while the students are working on the computer. The instructor will be able to help students individually with their particular questions and concerns instead of having to lecture to the entire class. ·You may take exams and quizzes more than once. If a student does not pass a module quiz or a unit test s/he will spend additional time doing homework problems related to that module/unit and then will retake the quiz/test. The student doesn't proceed to the next module/unit until s/he shows mastery in the current one. Ultimately this benefits the students by allowing them to spend the time necessary for them to master each unit instead of being forced to move on to new material in order to keep pace with the class. Students do their homework on-line using MyLabsPlus. After a student answers a homework problem the software lets her/him know immediately if the answer is correct. A student who gets a wrong answer can try the problem again and if s/he is having trouble solving a problem s/he can receive immediate help that includes hints to solve the problem, a demonstration of how to solve a similar problem and step-by-step assistance in solving the problem. ·Students spend their time doing math in a computer lab with instructors and tutors for assistance instead of watching someone else do math. Class time for the students will be spent on the computer viewing power point slides or short videos to learn the material and then doing homework. They will be able to ask their instructor for help but won't be sitting passively listening to a lecture. Rather, they will be actively doing math themselves. ·Students use the same textbook and software for developmental math studies regardless of NOVA campus. Students purchase a single MyLabsPlus access code which they will use for all the units in developmental math. The two volumes of the textbook and course material will be the same on all NOVA campuses. ·Purchasing a hard copy of the textbook is optional. Students are required to purchase a MyLabsPlus access code which will give them access to the textbook on-line. They are not required to purchase a hard copy of the book – though they may do so if they choose. ·Students purchase a single software code for the entire developmental math sequence. The same MyLabsPlus access code will be used for the entire developmental math sequence or until the edition of the textbook changes.
Applied Math for Food Service - 98 edition Summary: This book acquaints students with the basics of food cost controls by providing a foundation of practical techniques useful in real-world situations. Among these are yield tests, the calculation of recipe costs, and the use of food cost percentages. It further ensures that these future chefs are familiar with accurate measurements, portion control and proper food handling, which are essential to the healthy bottom line of any food service operation. Presents the mat...show morehematical skills necessary for food service professionals through a common sense, step-by-step approach using real life situations rather than algebraic formulas. This provides students with real-world applications for what they learn. Includes a detailed instructor's manual that assists the instructor plan classes, homework and quizzes; outlines lecture notes; provides additional student exercises; overhead transparencies; and solutions to all problems and questions. Provides extensive pedagogical aids throughout: 7-2962.60 +$3.99 s/h New Russell Books Victoria, BC PAPERBACK New 0138492174
To log in and use all the features of Khan Academy, please enable JavaScript in your browser. Math Calculus Topics covered in the first two or three semesters of college calculus. Everything from limits to derivatives to integrals to vector calculus. Should understand the topics in the pre-calculus playlist first (the limit videos are in both playlists) Whether you are computing mortgage payments or calculating the distance traveled by a bouncing ball, geometric series show up in life far more than you imagine. This tutorial will review all the important concepts and more! Now that we're familiar with the idea of an infinite series, we can now think about functions that are defined using infinite series. In particular, we'll begin to look at the power series representation of a function (and the special case of a geometric series). In later tutorials, we'll use calculus to find the power series of more types of functions. In this tutorial, we will learn to approximate differentiable functions with polynomials. Beyond just being super cool, this can be useful for approximating functions so that they are easier to calculate, differentiate or integrate. So whether you will have to write simulations or become a bond trader (bond traders use polynomial approximation to estimate changes in bond prices given interest rate changes and vice versa), this tutorial could be fun. If that isn't motivation enough, we also come up with one of the most epic and powerful conclusions in all of mathematics in this tutorial: Euler's identity. Everything in this tutorial is covered (with better resolution and handwriting) in the "other" Maclaurin and Taylor series tutorial, but this one has a bit of old-school charm so we are keeping it here for historical reasons.
This lesson from Illuminations asks students to use graphs, tables, number lines, verbal descriptions, and symbols to represent the domain of various functions. The material allows students to examine and utilize... This lesson uses the example of successive discounts at a retail store to demonstrate numeric, algebraic, and graphical representations of compositions of mathematical functions. Students will get the opportunity to... This algebra unit from illuminations provides an in depth exploration of exponential models in context. The model of light passing through water is used to demonstrate exponential functions and related mathematical... This course, presented by MIT and taught by Professor Alar Toomre, provides an introduction to numerical analysis. The material looks at the basic techniques for the efficient numerical solution of problems in science... This online course includes elements from an undergraduate seminar on mathematical problem solving. The material will help students develop their mathematical and problem solving skills. A few topics that are covered...
Student Writing in the Quantitative Disciplines : A Guide for College Faculty Overview The book introduces readers in the often-overlooked math-related fields to the ideas of writing-to-learn (WTL) and writing in the disciplines (WID). It offers a guide to the pedagogy of writing in the mathematical sciences, and gives theoretically grounded means by which writing can be used to help undergraduate students to understand mathematical concepts at all levels of study. The author equips instructors with the practical skills necessary to guide their students in writing well in math-based courses at all levels of the college curriculum, addressing various genres of mathematical writing (research articles, expository articles, abstracts, literature reviews, pedagogical writing), and provides the criteria for assessment. Author Information Patrick Bahls is an associate professor of mathematics at the University of North Carolina, Asheville, where he also performs research in math and writing and has helped to lead his campus's writing intensive program. Customer Reviews 9780470952122 There are no customer reviews available at this time. Would you like to write a review?
Discrete Mathematics and Its Applications - 7th edition Summary: Discrete Mathematics and its Applications, Seventh...show more108.97124
Number Theory This text provides a simple account of classical number theory, as well as some of the historical background in which the subject evolved. It is ...Show synopsisThis text provides a simple account of classical number theory, as well as some of the historical background in which the subject evolved. It is intended for use in a one-semester, undergraduate number theory course taken primarily by mathematics majors and students preparing to be secondary school teachers. Although the text was written with this readership in mind, very few formal prerequisites are required. Much of the text can be read by students with a sound background in high school 452 Pages,...* International Edition , New Paperback Book, 452 Pages, Black And White Printing, Have Identical Content as US edition, ISBN or Book Cover may be Different. Description: International Edition , New Paperback Book, 448 pages,... International Edition *, New Paperback Book, 448
Geometric Algebra for Computer Science (Revised Edition) An Object-Oriented Approach to Geometry By Leo Dorst Daniel Fontijne Stephen Mann Audience Professionals working in fields requiring complex geometric computation such as robotics, computer graphics, and computer games. Students in graduate or advanced undergraduate programs in computer science. Reviews Within the last decade, Geometric Algebra (GA) has emerged as a powerful alternative to classical matrix algebra as a comprehensive conceptual language and computational system for computer science. This book will serve as a standard introduction and reference to the subject for students and experts alike. As a textbook, it provides a thorough grounding in the fundamentals of GA, with many illustrations, exercises and applications. Experts will delight in the refreshing perspective GA gives to every topic, large and small. -David Hestenes, Distinguished research Professor, Department of Physics, Arizona State University Geometric Algebra is becoming increasingly important in computer science. This book is a comprehensive introduction to Geometric Algebra with detailed descriptions of important applications. While requiring serious study, it has deep and powerful insights into GA's usage. It has excellent discussions of how to actually implement GA on the computer. -Dr. Alyn Rockwood, CTO, FreeDesign, Inc. Longmont, Colorado
This applet is a web based lab that explores the properties of exponential functions and ways to define the number e. It is... see more This applet is a web based lab that explores the properties of exponential functions and ways to define the number e. It is one in a series of other precalculus labs by the same author. The directions for using Graph Explorer are contained in the Cartesian Coordinates applet. The Probability/Statistics Object Library is a virtual library of objects for use by teachers and students of probability and... see more The Probability/Statistics Object Library is a virtual library of objects for use by teachers and students of probability and statistics. The library contains objects of two basic types, applets and components.An applet is a small, self-contained program that runs in a web page. Applets are intended to illustrate concepts and techniques in an interactive, dynamic way. A teacher or student can download an applet, drop it in a web page, and then add other elements of her own choice (such as expository text, data sets, and graphics). The applets in the library contain essentially no mathematical theory and thus can be used by students at various levels. The applets are intended to be small "micro worlds" where students can run virtual versions of random experiments and play virtual versions of statistical games.Components are the building blocks of applets and of other components. The Java objects are of three basic types: virtual versions of physical objects, such as coins, dice, cards, and sampling objects; virtual versions of mathematical objects, such as probability distributions, data structures, and random variables; user-interface objects such as custom graphs and tables. The Java objects can be used by teachers and students with some programming experience to create custom applets or components without having to program every detail from scratch, and thus in a fraction of the usual time. In addition, the components are extensively documented through a formal object model that specifies how the components relate to each other.Each object can be downloaded as a Java "bean" that includes all class and resource files needed for the object. An object in the form of a Java bean can be dropped into a builder tool (such as JBuilder or Visual Cafe) to expose the properties and methods of the object. Each object can also be downloaded in the form of a zip file that includes the source files and resource files for the object. This applet is a web based lab that explores the properties of quadratic functions. It is one in a series of other... see more This applet is a web based lab that explores the properties of quadratic functions. It is one in a series of other precalculus labs by the same author. The directions for using Graph Explorer are contained in the Cartesian Coordinates applet. This applet is a web based lab that explores the properties of cartesian coordinates. It is one in a series of other... see more This applet is a web based lab that explores the properties of cartesian coordinates. It is one in a series of other precalculus labs by the same author. The directions for using Graph Explorer are contained in the Cartesian Coordinates applet.We chose to develop this applet first since it covers an aspect of the course that is based on relatively simple mathematics,... see more We chose to develop this applet first since it covers an aspect of the course that is based on relatively simple mathematics, but which students seem to find very confusing. At this point in the course, students have learned the basic aspects of quantum mechanics, namely, that the energy associated with the motions of molecules can not be assigned arbitrarily but must take on specific values.
Statistics - Scavo, Petraroja A Web unit preprint of a paper by teachers Tom Scavo and Byron Petraroja that describes a mathematics project involving fifth grade students and the area of classrooms, including measurement, graphing, computation, data analysis, and presentation of results;Aesthetics of the Prime Sequence - Turpel Armand A brief introduction to prime numbers, with a primality testing applet, a page on primes and music, primes and nucleotide bases, primes graphics, idiot savants and primes, primes-related software, related links, favorite books, and a special page of Lyapunov ...more>> aeyoung.mathematician - Andrew E. Young Papers from a Mathematics graduate from The University Of Sussex at Brighton: Number Theory: GCD and Prime Factorisation; Molien's Theorem, Invariant Theory and Gregor Kemper; A History of Equality. ...more>> African Diaspora Journal of Mathematics An international journal for mathematical research, emphasizing the contributions of African mathematicians and the rich connections between African Universities and those of other continents. The site offers submission guidelines, contact and subscriptionAha!Math - Learning.com This K-5 curriculum package, aligned to state and Common Core standards, supports differentiated instruction with multiple instructional models. Aha!Math provides students with immediate feedback in interactive story settings. Freely sample games and ...more>> AIMMS - Paragon Decision Technology This optimization software for advanced modeling concepts features solvers for major mathematical programming types and a full graphical user interface both for developers and end-users. Read about features and licensing options; see industrial applications, ...more>>
Mathematics & Computer Science Mathematics Courses MTH 101: Topics in Mathematics Topics selected from various areas of mathematics such as discrete mathematics, logic, number systems, geometry, probability, and graph theory. The course is designed to give the student an appreciation of mathematics as an integral part of our culture as well as applications to various other disciplines. Meets general academic requirement G and effective Fall 2013 RG. MTH 104: Statistical Methods Provides an introduction to statistical methods, including descriptive statistics, sampling, estimation, hypotheses testing, correlation and regression, and chi-square procedures. Students may not receive credit for both MTH 104 Statistical Methods and MTH 119 Statistical Analysis. Department permission required for students who have been placed in MTH 119 Statistical Analysis. Meets general academic requirement G and effective Fall 2013 RG. MTH 114: Fundamentals of Mathematics A study of fundamental mathematical principles underlying the concepts of number and shape. Topics include number systems, number theory, measurement systems, geometry, and functions with emphasis on applications and problem solving. Four meetings per week. Prerequisite: EDU 101 Foundations of Education Meets general academic requirement G and effective Fall 2013 RG. MTH 121: Calculus I Differentiation of algebraic and transcendental functions, application of the derivative to related rates, max-min problems, and graphing. Introduction to integration, the Fundamental Theorem of Calculus. Four meetings per week. Prerequisite: 3.5 years of high school mathematics Meets general academic requirement G and effective Fall 2013 RG. MTH 223: Calculus III Geometry of the plane and space, including vectors and surfaces. Multivariable calculus, including partial derivatives, Taylor's Theorem in two variables, line and surface integrals, and Green's Theorem. Four meetings per week. Prerequisite: MTH 122 Calculus II MTH 240: Transition to Abstract Mathematics An introduction to abstract mathematical thought with emphasis on understanding and applying definitions, writing arguments to prove valid statements, and providing counterexamples to disprove invalid ones. Topics may include logic, introductory set theory, and elementary number theory, but the focus is on the process of reasoning rather than any particular subject or subdiscipline. It is strongly recommended that mathematics majors complete this course by the end of the sophomore year. Prerequisite: MTH 122 Calculus II Meets general academic requirement W MTH 227: Differential Equations A study of the theory, methods of solution, and applications of differential equations and systems of differential equations. Topics will include the Laplace Transform, some numerical methods, and applications from the physical sciences and geometry. Prerequisite: MTH 122 Calculus II MTH 314: Applied Mathematics & Modeling Models describing physical and economic conditions will be constructed, analyzed, and tested. The computer will be used in model verification. Offered in alternate years. Prerequisite: MTH 227 Differential Equations MTH 351: CUE: Landmarks of Greek Mathematics (0.5 course unit) Examines selected masterpieces of classical mathematics, including Euclid's Elements, Archimedes' determination of the surface area of a sphere, Heron's formula for triangular area, and Ptolemy's table of chords. Emphasis will be placed on the brilliance of the mathematics and the reverberations of these ideas down to the present age. Prerequisite: MTH 122 Calculus II MTH 352: CUE: Landmarks of Modern Mathematics (0.5 course unit) Examines selected mathematical masterpieces from the Renaissance to the dawn of the twentieth century. Theorems to be considered include those of Cardano, Newton, the Bernoullis, Euler, Gauss, and Cantor. Besides the mathematics, the course focuses on the context in which the theorems were discovered and the lives of the discoverers. Prerequisite: MTH 122 Calculus II MTH 370: CUE: The Art of Problem Solving (0.5 course unit) Intended for students who enjoy solving mathematical problems in a variety of areas and who want to strengthen their creative mathematical skills, as well as their ability to write and present mathematical arguments. Topics include recreational problems (concise intellectual challenges), contest problems (precisely formulated mathematical challenges), logic problems (generally qualitative in measure), and modeling problems (quantitative and posed in a context).Offered in alternate years. Prerequisite: MTH 240 Transition to Abstract Mathematics and at least one 300-level mathematics course MTH-381 Special Topic: Mathematical Economics An introduction to the mathematics used to approach, model, and solve certain questions in economics. Topics include optimization problems of microeconomics, static equilibrium problems of macroeconomics, comparative static analysis, dynamic analysis, optimal control theory, and auction theory. No previous knowledge of economics will be assumed. Prerequisite: MTH 226 Linear Algebra MTH-382 Special Topic: Complex Variables The square root of -1, often denoted as i, is an interesting number. It is called, perhaps derisively, an "imaginary number," and yet its presence leads to many mathematically beautiful results (arguably more beautiful and natural than their real counterparts). In this course, we will explore the algebraic properties of so-called complex numbers (i.e. numbers of the form x + iy where x and y are real numbers), differentiable functions of a complex variable and their properties, extensions of exponential and trigonometric functions to the complex variable and the relationships between such functions, and some classic results such as the maximum-modulus principle, Liouville's Theorem, residue calculus, and the Fundamental Theorem of Algebra. Prerequisite: MTH 240 Transition to Abstract Mathematics MTH-387 Special Topic: Number Theory This course covers the classical topics of elementary number theory. We will study divisibility of integers, modular arithmetic, quadratic reciprocity, continued fractions, Diophantine equations, and basic theory of elliptic curves. There will be a strong emphasis on computational number theory. Prerequisite: MTH 240 Transition to Abstract Mathematics, or permission of instructor MTH-388 Special Topic: 'The Matrix Revisited' This course is a follow-up course to MTH 226, Linear Algebra focusing on applications, particularly involving large data sets. The course is structured to emphasize ~mathematics in action~ and will have many project-based components. Topics include image and sound compression and manipulation, least squares, non-symmetric Eigenvalue problems, symmetric Eigenvalues and singular value decomposition, principal component analysis, and iterative methods. These are all techniques/topics used in applied business, science, and industry. Prerequisite: MTH 226 Linear Algebra
STUDENT RESOURCES Are you Ready for College Math? For some students, the scariest thing about coming to college is taking College Math. "I've always received all A's and B's in everything, except math." "I was really good in math until 8th grade. The teacher that year was terrible, and after that I never did well." "I just plain hate math." I think I have heard it all. Why do students find math so difficult? There are numerous reasons. I have a lot of my own theories that I would love to share with you some other time. For now, I will emphasize one in particular: One reason why students find math more difficult than other courses is because, more that in any other subject, every new skill builds on prerequisite skills. If you are missing a concept that is key to a new skill, no amount of effort or studying will enable you to learn the new skill. Are you one of those students who are worried about your first math course here? If so, I would expect you to have two questions. One – do I have the skills I need to be successful in this course? Two – if I do not have the prerequisite skills, what can I do about it? I hope to answer both of those questions. Obviously (although that is not a very good word to use when speaking about math), the math you need in order to be ready for your college math course completely depends on the particular course. If you placed into MATH-099, Fundamentals of College Mathematics, there is very little that your professor will assume that you already know, besides maybe the multiplication tables. The course starts at the very beginning, with addition and subtraction of signed (positive/negative) numbers, and fractions. HOWEVER, it will move VERY QUICKLY! It could be called All of Grade School Math and All of Middle School Math, and Two Years of High School Math in Fourteen Weeks. It is ESSENTIAL that you attend every class, work all of the problem sets that are assigned, and go for help at the Learning and Advising Center (call (215)951-2799) AS SOON AS you get to problems that you find challenging. If you will be taking MATH-102, Pre-Calculus in the fall, there will be many concepts that your professor will assume you already grasp. Signed arithmetic (adding, subtracting, multiplying and dividing positive and negative numbers and fractions) will be covered in 15 minutes, if at all. Operations on polynomials and rational expressions will probably be covered quickly in class, with the assumption that you are familiar with them already. It will also be assumed that you have solved equations, simplified radicals, and worked with fractional and negative exponents. If you found any of the above challenging in high school, start getting help right away, with the first or second problem set. You can get free, individual tutoring and group tutoring at the Learning and Advising Center (215)951-2799. I will also hold weekly review sessions, Thursdays 12-1, starting September 2nd. (Call the Learning and Advising Center for the room.) Even though Finite Mathematics (MATH-100 or MATH-101) is given a lower number, it is NOT a lower level course than Pre-Calculus. It is the same level. Students are told to take one or the other on the basis of their major, not their test scores. So if you are registered for Finite Mathematics, and you feel as if your algebra skills are weak, come immediately to the Learning and Advising Center to make an appointment, and come to my weekly review sessions on Thursdays from 11 – 12. The background that your professor will assume that you have for MATH-110 (Pre-Calculus for Science and Engineering) is about the same as the background required for the other Pre-Calculus class (MATH-102). However, this class moves even more quickly, covering topics in greater depth. Please come for help the moment it starts to seem unfamiliar. If you were told to start off taking MATH-111, Calculus I in the fall, all of the topics I mentioned above are topics you must know well. In addition, you must be comfortable with function notation, trigonometry, and the graphs of many basic functions (without using a graphing calculator). I will be holding weekly review sessions for Calculus I on Tuesdays from 12 – 1. And, of course, as I have repeatedly written, you can also come to the Learning and Advising Center to see me (Ellen Knapp), the other professional math tutor, or a peer tutor.

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