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This is a free, online textbook that provides information on dimensions, from longtitude and latitude to the proof of a... see more This is a free, online textbook that provides information on dimensions, from longtitude and latitude to the proof of a theorem of geometry. There are 9 chapters, each 13 minutes long. The book contains a total of 117 minutes of video, but can also be read as an ordinary textbook.The film can be enjoyed by anyone, provided the chapters are well-chosen. There are 9 chapters, each 13 minutes long. Chapters 3-4, 5-6 and 7-8 are double chapters, but apart from that, they are more or less independent of each other a parent struggling to help your child with geometry homework, this is a short book that will help you. It covers plane geometry and touches on beginning trigonometry. You will find 70 illustrations and 25 problems with detailed solutions. Whether you are new to geometry or just need to brush up on the things you learned in school, this is the book for you. Give your child the gift of learning along with you. This book can be useful for students as well. '
books.google.com - An Episodic History of Mathematics will acquaint students and readers with mathematical language, thought, and mathematical life by means of historically important mathematical vignettes. It will also serve to help prospective teachers become more familiar with important ideas of in the history of mathematicsboth... Episodic History of Mathematics
The square root of 2 is a fascinating number, if a little less famous than such mathematical stars as pi, the number e, the golden ratio, or the square root of 1. This book shows why v2 is an important number, and how, in puzzling out its special qualities, mathematicians gained insights into the illusive nature of irrational numbers. more... From its origins in algebraic number theory, the theory of non-unique factorizations has emerged as an independent branch of algebra and number theory. Focused efforts over the past few decades have wrought a great number and variety of results. However, these remain dispersed throughout the vast literature. For the first time, Non-Unique Factorizations:... more... Many basic ideas of algebra and number theory intertwine, making it ideal to explore both at the same time. Certain Number-Theoretic Episodes in Algebra focuses on some important aspects of interconnections between number theory and commutative algebra. Using a pedagogical approach, the author presents the conceptual foundations of commutative algebra... more... This monograph provides a thorough treatment of module theory, a subfield of algebra. The authors develop an approximation theory as well as realization theorems and present some of its recent applications, notably to infinite-dimensional combinatorics and model theory. The book is devoted to graduate students interested in algebra as well as to experts... more... The selected papers in this volume cover all the most important areas of ring theory and module theory such as classical ring theory, representation theory, the theory of quantum groups, the theory of Hopf algebras, the theory of Lie algebras and Abelian group theory. The review articles, written by specialists, provide an excellent overview of the... more... Provides a study of supplements and projectivity conditions needed to investigate classes of modules related to lifting modules. This book introduces small submodules, the radical, variations on projectivity, and hollow dimension. It considers preradicals and torsion theories, decompositions of modules, supplements in modules, and lifting modules. more... Arranged to present the evolution of concepts and ideas of the subject, this is a collection of about 500 problems in algebraic number theory. Containing solved problems, it is designed for students with the usual background of undergraduate algebra. more... Absolute values and their completions - such as the p-adic number fields - play an important role in number theory. In valuation theory, the notion of a completion has to be replaced by that of "Henselization". This book develops the theory of valuations as well as of Henselizations. more...
Edit This Favorite Name: Category: Share: YesNo, Keep Private Confident Middle School - 7th Grade Seventh Grade Curriculum Literature, Writing, and Grammar Literature continues to build upon the foundation from the previous year. Students extend their exploration into the areas of fiction and non-fiction, as well as their sub-genres. Students continue their exposure to different types of literature through the textbook and supplementary novels. Writing and grammar are integrated into the literature curriculum. Students build upon their knowledge of the five stages of writing and the writing genres, while instruction in grammar is reinforced through writing workshops, personal writing, and other curriculum areas. Mathematics Using Math Connects, Course 2, students will be focusing on three areas: (1) Numbers and Operations, Algebra and Geometry, developing and applying and understanding of proportions, including similarity; (2) Measurement and Geometry, finding surface areas and volumes of three-dimensional shapes; and (3) Number and Operations and Algebra, solving linear equations and deepening their understanding of operations on all rational numbers. Along the way, they will learn more about problem solving, and how to use the tools and language of mathematics, and how to think mathematically. Pre–Algebra Pre–Algebra lays the foundation for the study of algebra by teaching the language of algebra, its properties, and methods of solving equations. These methods are applied to rational numbers (fractions, decimals, and percentages) and demonstrate to the student real life applications. The student also learns linear and nonlinear functions and graphs, and how to apply algebra to geometry, statistics and polynomials. Enriching activities are integrated throughout the lessons to encourage students to think outside the box and introduce higher level mathematical concepts. The graphing calculator is introduced. Social Studies World Cultures and Geography engages the student on a journey to dense rainforests, bleak deserts, bustling cities and marketplace, and remote villages. This course cultivates an understanding of how people, places, and physical forces shape our world. The study of culture helps students understand similarities and differences within groups of people. By exploring human features of unique areas, the students begin to gain a perspective that enables them to relate to different groups of people. Science Physical science, life science, and earth science are the three genres studied. The texts include: Introduction to Matter; Electricity and Magnetism; Environmental Science; Sound and Light; and Water on the Earth. Hands-on labs are interwoven throughout the curriculum. These labs teach observation, interpretation, and critical thinking skills. Technology Students continue to build their knowledge of Microsoft Word, PowerPoint, Excel and Publisher. The Mavis Beacon program helps students increase keyboarding skills. Adobe Photoshop Elements skills are learned as precursors to web site design. Students continue to learn Internet research skills and safety on the Internet. Technology projects are also used to enhance the learning experiences of other subject areas. Spanish Effective communication through reading, writing and speaking continues to be emphasized. Students learn to say commands and, conjugate regular and irregular verbs in the past tense. Through role playing students continue to build their vocabulary and practice conversational Spanish while reinforcing grammar skills. Music Students choose from band or chorus. Both groups study sight-reading and basic singing/playing skills through the use of method books and preparing a variety of styles of music for two formal concerts. In the spring, all students participate in a musical production either through drama, backstage, or production. Art Utilizing the language of art, students will explore art through production techniques, appreciation, and history, while focusing on improving and developing each student's skills. Students will discover how art relates to the many areas of their lives such as science, math, language arts, dance, music, fashion, and technology. Physical Education & Personal Wellness Emphasizing sportsmanship and teamwork, the students participate in several sports including basketball, volleyball, soccer, track, tennis and golf. In Personal Wellness, the curriculum includes body organization and structure, circulation and respiration, the digestive system, communication and control, body defenses and disease, and healthy lifestyles. This class is also offered at an advanced level for students who qualify.
Bridge the gap between basic math and algebra with Pre-Algebra Solved!™, the smart way to ace your pre algebra problems and get better grades. Simply enter in your problems and Pre-Algebra Solved!™ does the rest, providing the solution with step-by-step explanations. With additional powerful features including infinite example problems, practice tests, progress tracking, and a math document designer, Pre-Algebra Solved!™ is the only pre algebra solution you need. Our SHP Review: I am so excited about this product. For homeschool math, it's the best thing since sliced bread (and I'm not kidding)! This is NOT a new math curriculum. It is an electronic tutoring program that will work with whatever math program you are currently using in your homeschool! You don't have to throw away that expensive math program that everyone raved over but didn't work for you. Bagatrix will help make it work! Here's how it works: You load it onto your computer (requires Windows 2000/XP/2003/Vista/or Windows 7). Your student creates his own file. As he is working in his regular math book, if he finds a problem that he can't solve or doesn't understand, he simply types the problem into the computer. The computer then solves it for him, BUT it won't give him the answer. It gives him only the first step. If the student can see what the computer did without additional information, he can go onto the next step (which the computer will provide). If, however, your student still doesn't get it, he can click the icon in the corner (warning: it is a picture of a wizard), and it will give him instructions about how it arrived at that step. Within these written instructions are hilighted words (like "polynomial") that you can click on for a definition ("Gee, what's a polynomial? I'll just click here and find out!"). If your student STILL doesn't understand that step, you can click again for even further instruction (or restated instruction). Your student can do this for every step of a problem until the problem is solved! But, that's not all! The program can generate sample problems if your student needs more practice of a particular type of problem. It can create tests as well and track your student's progress! It's like having a homeschool math teacher right at your finger tips. The Pre Algebra CD covers all pre-algebra topics (such as conversions, ratios, graphing and much, much more!). This one program will save you money (since you can now stick with your current math program), time (since your student will be more independent), and worry (you don't have to teach higher math in your homeschool because there are Bagatrix programs for even advanced math like Calculus, Trig, and College Algebra!). And the price is wonderful! One Bagatrix program costs about the same as 1 tutoring session with a math whiz - but you get to keep and use Bagatrix 24/7! Regularly priced at $39.99.....Our price, just $33.95! give it three stars. It is useful but overpriced for what it does and what it does not do. It is handy in that if a student doesn't understand how to solve a problem, it will give a step by step solution but it doesn't always explain how or why a steep is necessary. And when the answer to a problem is a fraction, Solved! does not take the last step and divide the fraction so that a decimal answer is provided. Sometimes, it takes unnecessary steps and it doesn't always get the answer right. And sometimes it goes through too many unnecessary steps. It graphs problems if a graph is needed but it doesn't do word problems, unless the user can reduce the word problem to a formula.
Find a Redington, AZIt is important to understand the basic concepts of algebra before continuing to Algebra II. Students will learn to solve equations and inequalities. They will become proficient in factoring and simplifying algebraic fractions.
Description An undergraduate textbook devoted exclusively to relationships between mathematics and art, Viewpoints is ideally suited for math-for-liberal-arts courses and mathematics courses for fine arts majors. The textbook contains a wide variety of classroom-tested activities and problems, a series of essays by contemporary artists written especially for the book, and a plethora of pedagogical and learning opportunities for instructors and students. Viewpoints focuses on two mathematical areas: perspective related to drawing man-made forms and fractal geometry related to drawing natural forms. Investigating facets of the three-dimensional world in order to understand mathematical concepts behind the art, the textbook explores art topics including comic, anamorphic, and classical art, as well as photography, while presenting such mathematical ideas as proportion, ratio, self-similarity, exponents, and logarithms. Straightforward problems and rewarding solutions empower students to make accurate, sophisticated drawings. Personal essays and short biographies by contemporary artists are interspersed between chapters and are accompanied by images of their work. These fine artists--who include mathematicians and scientists--examine how mathematics influences their art. Accessible to students of all levels, Viewpoints encourages experimentation and collaboration, and captures the essence of artistic and mathematical creation and discovery. Classroom-tested activities and problem solving Accessible problems that move beyond regular art school curriculum Multiple solutions of varying difficulty and applicability Appropriate for students of all mathematics and art levels Original and exclusive essays by contemporary artists Forthcoming: Instructor's manual (available only to teachersLibraryThing Review Uses more words than necessary to explain his ideas. I kind of understand what he's trying to say but not really. I'm sure there is a more eloquent way to convey his ideas. A Google UserA Google UserA Google User User reviews A Google User LibraryThing LibraryThing LibraryThing Review Uses more words than necessary to explain his ideas. I kind of understand what he's trying to say but not really. I'm sure there is a more eloquent way to convey his ideas.About the authors Marc Frantz holds a BFA in painting from the Herron School of Art and an MS in mathematics from Purdue University. He teaches mathematics at Indiana University, Bloomington where he is a research associate. Annalisa Crannell is professor of mathematics at Franklin & Marshall College. She is the coauthor of "Writing Projects for Mathematics Courses
Algebra: Developing Algebraic Reasoning, Teacher Edition Grok patterns of smiley faces. Crank answers out of a "function machine." Solve Sudoku puzzles and "math jokes" (riddles students answer by solving ...Show synopsisGrok patterns of smiley faces. Crank answers out of a "function machine." Solve Sudoku puzzles and "math jokes" (riddles students answer by solving problems). Balance a scale so the dominoes on one side match the dominoes on the other side. Correlated to NCTM and Common Core standards, hands-on activities and concrete manipulatives help students learn how to generalize math problems by using variables, seeing patterns and functions in concrete ways, and grasping the concept of equivalence (accomplished by the metaphor of balancing scales). The teacher book offers teaching procedures and reproducible worksheets; the student book conveniently binds one student's worksheets together. Grades K-5. Illustrated. Good Year Books. 139 pages. 2011 revised
Math Calculator Page Ti83 Ti84 Ti85 Ti86 Ti89 Posted on 09 Mar 2014 \| No Comments The content on this page was made possible by a sabbatical taken during spring semester 2005. Unless otherwise stated, instructions will work in the same TI family texas instruments ti994aputer oldputers History of Texas Instruments' Computers: 1954: Texas Instruments produces the first commercial silicon transistor. 1958: TI engineer Jack Kilby co-invents the ti83 site calculators and education technology by We would like to show you a description here but the site won't allow us. using the ti 83 graphing calculator higher education This tutorial is designed with the student in mind. The topics selected are those that students will use in college algebra, college trigonometry, and Texas Instruments The Free Encyclopedia Posted on 09 Mar 2014 \| No Comments Coordinates Texas Instruments Inc. (TI) is an American company that designs and makes semiconductors, which it sells to electronics designers and manufacturers treasure island hotel and casino las vegas hotels Make your Las Vegas hotel reservation at Treasure Island Casino and Resort. Check room rates, hotel packages, and booking deals.
Technical and Vocational Students In print for over 75 years--and continually updated to reflect the contemporary work world and the changing needs of technical/trades workers--this ...Show synopsisIn print for over 75 years--and continually updated to reflect the contemporary work world and the changing needs of technical/trades workers--this book provides an accessible, comprehensive survey of all the practical mathematical skills required on the job in industry today. Using clear, uncomplicated explanations, an abundance of illustrations, and example problems drawn from the technical and trade professions, it helps readers gain competence and confidence in a broad range of mathematical problem-solving skills--from addition of whole numbers to problems concerning threads and gearing. Features convenient-reference comprehensive tables and formulas in the back of the book. Whole Numbers. Common Fractions. Decimal Fractions. Percentage. Ratio and Proportion. Practical Algebra. Rectangles and Triangles. Regular Polygons and Circles. Solids. Metric Measure. Graphs. Measuring Instruments. Geometrical Constructions. Logarithms. Essentials of Trigonometry. Strength of Materials. Work and Power. Tapers. Speed Ratios of Pulleys and Gears. Screw Threads. Cutting Speed and Feed. Gears. A reference and tutorial on practical mathematics for anyone in the technical trades Mathematics for Technical and Vocational Students (10th...Good. Mathematics for Technical and Vocational Students
Calculus Acrostics 1.16MB. Updated 2013-12-24. Description UPDATED DEC 20 ---------------- pictures added to the deck This deck is a system of acrostics and is used with the book Math and English grammar acrostics. Pdf: The instructions are in the deck. tag: "guide" This system was created to replace traditional forms of memorization and fill in a number of missing elements in the memory recall process. The main advantage of using acrostics is that the acrostics can be matured in memory years in advance of learning the subject. Acrostics are very powerful. A young child can create memory connections for English, math, science, foreign languages, and other subjects well in advance of learning the material. The process can be described as a sort of "pre-loading" of the material into memory. Identification --------------------- problem: The student remembers the formula/procedure/steps but does not remember its name or application. solution: The topic ID is at the head of the acrostic. Here is an example. Adding and subtracting terms- [for fractions- same denominator/for polynomials- same exponent and variable/for radicals- same index and radicand] Verification ------------------ problem: The student remembers the formula/procedure/definition but is unsure of the accuracy of the recall. solution: A weakened or an interference-ladened recall can be verified via interconnections to the retrieval cue, material, or the acrostic. Categorization ---------------------- problem: The student has forgotten that a formula/procedure/definition exists. solution: The category lists are maintained in memory via the spaced repetition system. problem: The student does not know what to do or where to begin solving the math problem. solution: Parts of the math problem can be identified and matched to their category. problem: The student creates his or her own rule or procedure thinking that the rule or procedure exists and is valid. solution: Every action in the example has an ID and is maintained in memory by the spaced repetition system. Elaboration ----------------- problem: The student has partially or completely forgotten a formula/procedure/definition. solution: The acrostic is interconnected with the material and is maintained in the spaced repetition system. The topic ID and subcategories are used as retrieval cues to help recall the acrostic and the material. Here is an example. A S T [ F... P... R... ] Adding and subtracting terms- [for fractions- same denominator/for polynomials- same exponent and variable/for radicals- same index and radicand] Assisted initial repetition ---------------------------------- problem: New material requires a large amount of initial drill. solution: For new material, the acrostic letters and knowledge of the material are used to assist the initial recall of new material. -------------------- My statistics -------------------- 3 on the answer button graph is the number of retrieval cue successes. 2 on the answer button graph is the number of retrieval cue failures. Learning stage --------------------- Over-learning stage (Workload starts to decrease) ---------------------------- In this stage, over-learning and the spacing effect pushes the cards into maturity. [35] [10] Majority mature stage (Workload decreases to very small numbers) --------------------------------- You should wait until the cards have reached this stage before you use the system for a test. If the test is really important use the quick reference to test yourself, and reset the intervals on any failed recalls. You should also be able to recall the category lists. [8] [5] Here are scans of my preparation for two tests. Sample (from 285Front Concavity second derivative test Back The contamination of the suburb in the district near the toxic plutonium and uranium nuclear dump point was isolated and zoned as unsafe. Concavity second derivative test- [if positive then upward/if negative then downward/for point of inflection- zero or undefined] Acrostic csdtpundpizu Tags Front Derivative of inverse sin and cos Back The daily intelligence summary from the Chief security officer and the tactical reconnaissance operations manager was useful and significant to their campaign in the north. Derivative of inverse sin and cos- [for sin- one through radical one minus u squared/for cos- negate] Acrostic discsotromuscn Tags Front one through f [a squared plus u squared (f)] Back The observant team of football officials' tough announcement on the interception and touchdown was upsetting to the team and the arena. one through f- [one through a inverse tan u through a]
305 G - Elementary Functions and Coordinate Geometry Instructor: Ricardo Conceicao Office: RLM 10.134 Webpage: Email: rconceic@math.utexas.edu Course Info: MWF 2:00 - 3:00 RLM 5.122 (Unique # 57735) Office Hours: MW 1:00 - 2:00 and F 3:00 - 4:00 or by appointment Course Description: This course will prepare you for calculus courses (M408C, M408K) by introducing you to important functions that are studied in more detail in the calculus sequence. The course covers algebra of functions, inverse functions, logarithms, exponential functions, trigonometric functions, inverse trigonometric functions, polynomials, rational functions, and the range, domain and graphs of these functions. Text: Sullivan, Precalculus, Custom Edition for UT-Austin (8th edition). We will cover almost all of chapters 2-8. Detailed syllabus at Try to read the book before coming to class: believe me, this is a very useful habit. Grading Policy: • 15% - Homework average • 60% - 3 Midterms worth 20% each • 25% - Final A B C D F 90-100 80-89.99 70-79.99 60-69.99 0-59 I do not plan to curve the grades, but if I do it it'll be decided at the end of the semester. Also, I reserve the right to amend, append, or otherwise make changes to the plan for the course. You can check all your grades online via e-Gradebook through the CLIPS menu at Homework: Homework will be posted weekly at the course website and usually be due at Wendnesday, beginning of class. NO LATE HOMEWORK WILL BE ACCEPTED. If you cannot make it to class, send the homework with a friend or contact me before class. This will allow us to discuss questions about the homework that day without being unfair to those who have already turned in their assignment. Group work is highly encouraged, however all work turned in must be your own. Your lowest three homework grades will be dropped. If you do not write clearly or staple your homework you may lose some points in your homework grade, so be as neat as you can. Since this is a math course, you're required to show enough work to get full credit in a problem: to me you're reasoning is more important than the final answer. Tests: There'll be 3 in-class midterms exams: Friday, September 19th (Probably covering Chapters 2, 3 and part of 4). (tentatively) Friday, October 17th (Probably covering parts of Chapters 4 and 5). 1 (tentatively) Friday, November 21st (Probably covering parts of Chapters 6 and 7). If you cannot make it to one of the midterms, you must let me know before the day of the test. Make up exams are only given in cases where there is a documented excuse Also during the semester, without previous notice, there'll be 10 min. quizzes that will count as extra credit for the midterm which covers the same subject of the quiz. Those extra credit are not cumulative and will only be used in the midterm following it, if applicable. No calculators will be allowed during tests and the final. So I encourage you to work on your homework problems without a calculator. Final exam: The final exam is comprehensive. Implicit in registering for this class is your agreement that you will be present to take the final exam at the time listed in the course offerings For more info, please see Cheating: The students of the University of Texas have adopted an honor code. Academic dishonesty will not be tolerated. In order to encourage an at- mosphere of trust and partnership, the entire class will be involved in ensuring the integrity of exams. Students with Disabilities: The University of Texas at Austin provides upon request appropriate academic accommodations for qualied students with dis- abilities. For more information, contact the Office of the Dean of Students at 471-6259, 471-4641 TTY. Other Thoughts: It is said that math is not a spectator sport, so please interact with me, do your homework and read the textbook as much as you can. Questions are always welcome and I'll be more than pleased to answer them. It is my belief that most of the problems that some of you will be facing at this course is a lack of or a poor set of algebra/arithmetic skills, so try to review your algebra/arithmetic and geometry as soon as possible. Be sure to read Be sure your e-mail address in the UTDirect system is up to date, so that I can communicate information to the class via e-mail. To improve your learning experience, you can try the drop-in tutoring at the UT learning center ( I'll also try to post useful stuff at the class website, so check it regularly. The topics we will cover are very useful and fundamental in the sciences, business and engineering, among other fields, and I want you all to succeed. However, success in the course will require your diligence and hard work. Be sure to keep up with the assignments and to attend class. Talk to me as soon as you are having problems - don't wait until the week of a test. In addition to learning quantitative skills, it is important that you develop learning skills and study habits that will help you in calculus, in other courses, and in life beyond UT. Good luck and I hope this will be an enjoyable experience for all of you
This study was designed to explore trends in the use of 3D graphics and animation software within an educational context to enhance learning and to promote the use of calculators for a broader learning experience. This study targeted students in the GED component of Threshold Center for Alternative Youth Development who specifically were preparing to take the math section of the examination. Evidence from an array of studies (Simonson & Thompson, 1994; Weller, (1996); Lazarowitz and Huppert (1993); Yalcinalp, Geban, and Ozkan (1995) indicates that (computer technology in the classroom can have a positive impact on students learning, in terms of achievement in certain subject areas. en_US dc.format.extent 11072728 bytes en_US dc.format.extent 5502322 bytes en_US dc.format.mimetype application/pdf en_US dc.format.mimetype application/pdf en_US dc.language.iso en_US en_US dc.subject calculator- Casio FX-260 en_US dc.subject Math- 3D en_US dc.subject Math- education en_US dc.subject Math- GED en_US dc.title Using 3D graphic and animation software to enhance learning experience in GED math
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. This textbook, apart from introducing the basic aspects of applied mathematics, focuses on recent topics such as information data manipulation, information coding, data approximation, data dimensionality reduction, data compression, time-frequency and time scale bases, image manipulation, and image noise removal. The methods treated in more detail include spectral representation and frequency of the data, providing valuable information for, e.g. data compression and noise removal. Furthermore, a special emphasis is also put on the concept of wavelets in connection with the multi-scale structure of data-sets. The presentation of the book is elementary and easily accessible, requiring only some knowledge of elementary linear algebra and calculus. All important concepts are illustrated with examples, and each section contains between 10 an 25 exercises. A teaching guide, depending on the level and discipline of instructions is included for classroom teaching and self-study.Read more...
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MIT OpenCourseWare is a free and open educational resource for faculty, students, and self-learners. The mathematics part contains undergraduate and graduate courses also covering basic principles of mathematical physics. Courses include lecture notes, assignments and exams with solutions, and video lectures, if available. This site created by the Physics Department at the Oregon University in collaboration with the University of Antioquia, Medellin contains a bilingual collection of quantum physics applets (in English and Spanish). Programs and source codes are freely available. more info Mathcentre is an on-line mathematics support centre which provides resources to help students make the transition from school-level to university-level mathematics. It especially includes mathematical support for related subjects like the physical sciences. Mathcentre offers several different kinds of resources: quick reference leaflets, teach-yourself booklets, practice and revision booklets, on-line exercises, and video tutorials. more info MIT OpenCourseWare is a free and open educational resource for faculty, students, and self-learners. The electrical engineering and computer science part also contains undergraduate and graduate courses which are interesting for solid state physics and computational physics. Courses include lecture notes, assignments and exams with solutions, and video lectures, if available. more info This website provides statistics tutorials and computer simulations, such as HyperStat Online, an online statistics book with links to other statistics resources on the web. Java applets demonstrating various statistical concepts, examples of real data with analyses and interpretation are included as well as some basic statistical analysis tools. Source codes of the applets may be downloaded for free. more info The Data Analysis BriefBook is a condensed handbook, or an extended glossary, written in encyclopedic format, covering subjects in statistics, computing, analysis, and related fields. It intends to be both introduction and reference for data analysts, scientists and engineers. Free access to the Internet version of the BriefBook is provided by this web page. more info The Electronic Statistics Textbook offers training in the understanding and application of statistics and covers a wide variety of applications, including laboratory research (biomedical, agricultural, etc.), business statistics and forecasting, social science statistics and survey research, data mining, engineering and quality control applications, and many others.The Electronic Textbook starts with an overview of the relevant elementary concepts and continues with a more in depth exploration of specific areas of statistics, organised by modules which represents classes of analytic techniques. A glossary of statistical terms and a list of references for further study are included. more info
provides a clear summary and outline in algebra. Each topic begins with concepts, formulas, and problem-solving steps, followed by well-designed examples. There are 18,000 examples and exercises in this book-7,000 are real-life word problems modeled after typical questions on standardized tests that are given across the United States.
Tumwater TrigonIn addition, I have lots of handouts and notes that synthesize pertinent information germane to a specific topic. Algebra 2 is an important stepping stone to higher levels of mathematics. It is a building block for advanced algebra, trigonometry, and calculus concepts e...
Discrete Mathematics Help Discrete Mathematics is the branch of Mathematics dealing with objects that can assume only distinct, separated values. The term "Discrete Mathematics" is therefore used in contrast with "Continuous Mathematics," which is the branch of Mathematics dealing with objects that can vary smoothly (and which includes, for example, calculus). Whereas Discrete objects can often be characterized by Integers, continuous objects require Real Numbers. The study of how discrete objects combine with one another and the probabilities of various outcomes is known as combinatorics. Other fields of Mathematics that are considered to be part of Discrete Mathematics include Graph Theory and the theory of computation. Topics in Number Theory such as congruences and recurrence relations are also considered part of Discrete Mathematics. Urgenthomework.com provides best Online Help, Homework Help for Student who experiencing difficulties in Discrete Mathematics and its Application; Our Maths Experts can analyze your problem help you to understand and solve it. They are well skills people having years of experience in the area, Urgenthomework provides you the best of the specialized professionals to fulfill your all academic requirements.
Summary: Provides completely worked-out solutions to all odd-numbered exercises within the text, giving students a way to check their answers and ensure that they took the correct steps to arrive at an answer. 04950124Excellent condition. Interior is tight, bright and clean. Paperback cover has minor scuffing and corner bumps from reader and shelf wear. Used sticker on the back cover. Corners are curling. 100% Sati...show moresf
Purchasing Options: eBook Ordering Options Description Teaching Secondary Mathematics, Second Edition is practical, student-friendly, and solidly grounded in up-to-date research and theory. The text is organized in three parts: General Fundamentals; Mathematics Education Fundamentals; and Content and Strategies. Throughout, emphasis is given to: * Technology as a teaching tool. Technology is emphasized throughout the text, and many examples for use in secondary classrooms are included. Development of teaching professionals.By encouraging students to do a variety of problems, and to discuss and reflect on the problem settings, their teaching professionalism is extended and enhanced, they become more self-motivated, and can become life-long learners. Pedagogical features that engage and motivate students.A variety of activities stimulate the student to extend the knowledge base and begin building a framework that will be used in the secondary classroom, including reflective thought questions, mathematical challenges, technology-based applications, student-life-based exercises, games, tricks, and group discussions. Icons identify strands that students will find useful as they continue their professional development. New in the Second Edition: * All chapters are thoroughly revised and updated to incorporate current research and thinking. * The National Council of Teachers of Mathematics Standards 2000 are integrated throughout the text. * A totally new chapter on probability and statistics is included; it discusses developments that have come charging onto the scene as a result of the data-rich society in which we live. * An application or activity lesson that puts the topics being discussed into action has been added to most chapters. Value-added software!MathXpert Plus(TM) Calculus Assistant (a trademark of Recognix, Inc. dba MathXpert) is now packaged with the text. It provides a unique opportunity for learning algebra-based mathematics from Algebra 1 and 2 through trigonometry, pre-calculus, and calculus. There are over 6,700 built-in problems, but users can edit these problems, or type in their own problems. Problems are systematically solved as well as graphed. The solution, with statements and reasons for each step, is displayed on screen. This solution can be developed by the user step-by-step, or generated automatically by the program. If the user opts to develop a solution, general or specific hints are provided to guide the user to the correct solution. MathXpert Plus(TM) Calculus Assistant is a powerful teaching tool. It provides graph capability that uses variables with automatically created increase/decrease buttons, and assists teachers in presenting new topics to students. Multiple graphs can be displayed on one screen or several screens at the same time. The inclusion of MathXpert Plus(TM) Calculus Assistant with this text--at a great savings over the regular price--provides an outstanding opportunity for students to begin a collection of software that will help them become more effective teachers of mathematics at the secondary level. Reviews "This book is a valuable addition to the textbooks available for prospective secondary mathematics teachers. The style is refreshing, the approach is modern without being radical, and the mathematics is substantive. A preservice teacher completing this textbook would be well prepared to provide a mathematically rich learning environment. Experienced mathematics teachers also can benefit from reading this book. Thus, the book can make a strong contribution to the mathematical education of both preservice and in-service mathematics teachers.' —Mathematics Teacher "…A resource I wish I'd had as a candidate going through the certification process….One must be able to 'talk the talk' by linking practices to standards and accepted educational research. This book goes there and more. I would recommend it to any candidate who is evaluating the teaching and learning of mathematics in the secondary classroom." —Melanie Miller National Board Certified Teacher of Mathematics, Lyman High School, Florida
Two experienced educators present a fresh approach to mathematics learning in the middle grades with the transition from arithmetic to algebra. The authors provide a collection of balanced, multi-dimensional assessment tasks designed to evaluate students' ability to work with mathematical objects and perform mathematical actions. --from publisher description
above Mapper remove an edge on the cycle that is formulated as a result, which generates a new solution. With students beginning to attend classes across the nation, I wanted to focus the site towards some of the things they're going to be addressing. This latest page publicize some scripts that I wrote to help with polynomial arithmetic. Originally I wrote these as homework exercises for a class in programming, but I have found them useful ever since – both in teaching mathematics classes like college algebra, which spends a lot of attention on polynomials, and in my research life. Its funny (and sad) the number of simple errors that a person (mathematician or not) can make when performing simple arithmetic, so I found it very useful to have a calculator more advanced than the simple scientific calculators that are so easily available. I'm not going to spend a lot of time discussing the importance of polynomials, or trying to justify their need. I will bring up some problems that I'd like to address in the future, that deal with polynomials. The first is finding the roots of the characteristic polynomial of a matrix. This is useful in research because these roots are the eigenvalues of the matrix and can give many properties of the matrix. There are also some data analysis tools like Singular Value Decomposition and Principal Component Analysis where I will probably build out from this initial set of instances. The user interface for the scripts I've written generate two polynomials and ask the user what is to be done with those polynomials. The options are to add the two, subtract polynomial 2 from polynomial 1, multiply the two, divide polynomial 1 by polynomial 2, and divide polynomial 2 by polynomial 1. There is also the option to make the calculations more of a tutorial by showing the steps along the way. Users who want new problems can generate a new first or second polynomial and clear work. For addition and subtraction, the program works by first ensuring that both polynomials have the same degree. This can be achieved by adding terms with zero coefficient to the lower degree polynomial. Once this has been accomplished, we simply add the terms that have the same exponent. For multiplication, the program first builds a matrix A, where the element ai, i+j on row i and column i+j of the matrix A is achieved by multiplying the ith term of the first polynomial by the jth term of the second polynomial. If an was not given a value in the matrix, then we put a value of zero in that cell. Once this matrix is formed, we can sum the columns of the matrix to arrive at the final answer. The division of two polynomials works first by dividing the first term of the numerator by the first term of the denominator. This answer is then multiplied by the denominator and subtracted from the numerator. Now, the first term in the numerator should cancel and we use the result as the numerator going froward. This process is repeated as long as the numerator's degree is still equal to or greater than the denominator's degree. Suppose you are at a table at a casino and notice that things don't look quite right. Either the casino is extremely lucky, or things should have averaged out more than they have. You view this as a pattern recognition problem and would like to understand the number of 'loaded' dice that the casino is using and how these dice are loaded. To accomplish this you set up a number of Hidden Markov Models, where the loaded die are the latent (hidden) variables, and would like to determine which of these, if any is more likely to be using. First lets go over a few things. We will call each roll of the dice an observation. The observations will be stored in variables o1, o2, …, oT, where T is the number of total observations. To generate a hidden Markov Model (HMM) we need to determine 5 parameters: The N states of the model, defined by S = {S1, …, SN} The M possible output symbols, defined by = {1, 2, …, M} The State transition probability distribution A = {aij}, where aij is the probability that the state at time t+1 is Sj, given that the state at time t is Si. The Observation symbol probability distribution B = {bj(k)} where bj(k) is the probability that the symbol k is emitted in state Sj. The initial state distribution = {i}, where i is the probability that the model is in state Si at time t = 0. The HMMs we've generated are based on two questions. For each question, you have provided 3 different answers which leads to 9 possible HMMs. Each of these models has its corresponding state transition and emission distributions. How often does the casino change dice? 0) Dealer Repeatedly Uses Same Dice 1) Dealer Uniformly Changes Die 2) Dealer Rarely Uses Same Dice Which sides on the loaded dice are more likely? 0) Larger Numbers Are More Likely 1) Numbers Are Randomly Likely 2) Smaller Numbers Are More Likely How often does the casino change dice? Which sides on the loaded dice are more likely? (0, 0) (0, 1) (0, 2) (1, 0) (1, 1) (1, 2) (2, 0) (2, 1) (2, 2) One of the interesting problems associated with Hidden Markov Models is called the Learning Problem, which asks the question "How can I improve a HMM so that it would be more likely to have generated the sequence O = o1, o2, …, oT? The Baum-Welch algorithm answers this question using an Expectation-Maximization approach. It creates two auxiliary variables t(i) and t(i, j). The variable t(i) represents the probability of being in state i at time t, given the entire observation sequence. Likewise t(i, j) represents the joint probability of being in state i at time t and of being in state j at time t+1, given the entire observation sequence. They can be calculated by
This interdisciplinary lesson uses musical terms and concepts to teach algebra and geometry. Students will analyze musical scales and frequencies generated by a geometric sequence, and relate sine waves to musical... This lesson uses data from the Center for Disease Control to give students experience with the Chi-Square Statistic. Students will use spreadsheets to organize data, which they will then perform statistical analysis on.... This lesson is often used in introductory courses on probability and statistics. The material uses real data to introduce probabilistic simulation. Students will take random samples of data to demonstrate the importance... This lesson helps students to understand how home mortgages work. They will learn to substitute values into an algebraic formula using order of operations, interpret interest rates for home mortgages, navigate a real... This algebra lesson helps students connect how logarithms work to the real world example of financing a car. Students will use a formula to calculate the number of months it will take them to pay off a car loan based on...
Lower Menu MP Board Class 12 Maths Sample Paper Class 12 is an important step for students in which they face a national level competition. Scores in class 12 have their own weightage in many graduation and post graduation competitions. Mathematics is a highly scoring subject although it demands much practice. For helping students to prepare oureducation.in is presenting MP Board Class 12 Maths Sample Paper. We hope this paper will be helpful for you. Post navigation This question pattern is really going to help out the students preparing for the MP Boards.By practicing these set of papers the candidates can revise up their whose course…all the best to all candidates This article is really very helpful for those who will be appearing for class XII boards.Some more questions from calculus and functions are expected. SHRUTI PRIYA Good set of question paper!!!! It will surely help the students to go through well with their boards paper after solving this sample paper…. SOLVE AND DO WELL IN YOUR EXAM…. ALL THE BEST. Neha S Maths!!!!! I HATE MATHS!!! do you hate it too? BUT you know what constant practice of sums can help you to overcome your fear of maths. so buckle up and start preparing for the same.. ALL THE VERY BEST!! Rashmi Rani This sample question will surely help the students of MP board as it is perfectly set according to the pattern of that board. If you are in search of an absolute practice paper this is the place where your search ends…. so guys and gals go through this and all the very best for your exams diya mukherjee board are an importnt exam in feild of our career and escpecially mathematics. this paper makes mathematics paper easy to solve and within time.
Soalan Matematik Tingkatan 3
0136007627 9780136007623 Intermediate Algebra for College Students: KEY MESSAGE: The Blitzer Algebra Series combines mathematical accuracy with an engaging, friendly, and often fun presentation for maximum student appeal. Blitzer's personality shows in his writing, as he draws students into the material through relevant and thought-provoking applications. Every Blitzer page is interesting and relevant, ensuring that students will actually use their textbook to achieve success! KEY TOPICS: Algebra, Mathematical Models, and Problem Solving; Functions and Linear Functions; Systems of Linear Equations; Inequalities and Problem Solving; Polynomials, Polynomial Functions, and Factoring; Rational Expressions, Functions, and Equations; Radicals, Radical Functions, and Rational Exponents; Quadratic Equations and Functions; Exponential and Logarithmic Functions; Conic Sections and Systems of Nonlinear Equations; Sequences, Series, and the Binomial Theorem MARKET: for all readers interested in algebra. Back to top Rent Intermediate Algebra for College Students 5th edition today, or search our site for Robert F. textbooks. Every textbook comes with a 21-day "Any Reason" guarantee. Published by Pearson.
Built from the ground up on our new understanding of how students learn, Randall Knight's introductory calculus based-physics textbook leads students to a deeper understanding of the concepts and more proficient problem-solving skills. 54 more words Built from the ground up on our new understanding of how students learn, Randall Knight's introductory calculus based-physics textbook leads students to a deeper understanding of the concepts and more proficient problem-solving skills. 54 more words Home sales in the Addison area were down 1% in January 2014 compared to last year, with 76 homes selling this month. So far this year, overall home sales have decreased 1%, with 76 homes sold. 68 more words
7th Grade Math 7th Grade Math will be taken by almost all 7th graders. We will be using the Course 2 book from the Prentice Hall series for middle school. The most important thing that I would like your child to get out of this year is that math makes sense. As a class we are going to work very hard to find methods of solving problems that make sense to each student. The best way to learn math is by struggling to solve problems. What that means is that students have to think hard in this class. If a student doesn't immediately see how to do a problem, I am not going to tell him how to do it. He will work to develop his own way of solving problems, so that his method will make sense to him. If your child is having trouble with an assignment, encourage her to first go through the assignment and do all the problems that she can, then go back to any problems that she skipped. Sometimes a student may benefit from putting the assignment away for the night, and looking at any problems that she skipped in the morning. Homework is a learning experience, and a student may not be able to complete every problem, that is okay as long as that student has given 100% of her effort to solve the problems. Grading in this class comes from assessments. If a student has not fully learned a topic or skill before an assessment, they will be given the chance to redo they portions of that assessment that do not show proficiency. Throughout each chapter I will give ungraded checkups and quizzes. These ungraded assessments allow each student and myself to evaluate her understanding of a concept or set of concepts up to that point, and make adjustments in instruction as needed. All assignments for the year are listed on Edmodo. Contact me if you would like to set up an account to view assignments. I welcome any input or questions from parents. Please contact me at any time, if you would like to talk. The easiest way to reach me is through email. If you would like to talk over the phone, I have my planning period daily from 11:00 to 11:45. The seventh grade team meets daily from 1:45 to 2:26. It is the policy of the Mid-Prairie Community School District not to discriminate on the basis of race, color, national origin, gender, disability, religion, creed, age, marital status, sexual orientation, gender identity and socioeconomic status in its educational programs, activities and employment practices. If you have questions or a grievance related to this policy please contact the District's Equity Coordinator, Evan Parrott, Elementary Principal, 319-646-2984 or eparrott@mid-prairie.k12.ia.us
Find Freelance Mathematics Online Jobs Mathematics is the study of arithmetic, algebra, geometry, computational analysis, calculus, sets, and many more elements. It's a field that find applications in an unprecedented number of areas including physics, engineering disciplines, quantity surveying, accounting, etc. Freelancers might be required to devise new formulae or use their mathematical skills to find a solution for many of the problems. Please read carefully my notes: 1-The final bid will be established after we discuss the project details. 2-You should have good background about Monte Carlo Simulation (method). Just basic is not enoughThe project consists on proofread an 8-page math research paper. You don't need to understand the math, not the content of what is being said. You just look for misspellings, and grammatical mistakes. It shouldn't take more than two or three hours... Task: A. Rounding and Truncation: In a classroom, students will receive a letter grade based on the percentage of points gained in the term out of the total points possible. There are 334 points possible 1. Calculating the probabilities in each question; they requires basic poker game knowledge, such as, Video Poker, Texas Holdem, seven-card stud, and so on. 2. Give one paragraph analysis and conclusion base on the calculation. 3. The main thing is the calculations, then the conclusions...
Renewed Secondary Mathematics Curriculum Information for Parents and Students The purpose of the this website is to inform parents and students about the Renewed Mathematics Curriculum in Saskatchewan. This site is designed for parents and students of the Greater Saskatoon Catholic School System. If you have any questions or concerns, please contact the GSCS High School Mathematics Teacher-on-Assignment, Shelda Hanlan Stroh, at shanlan-stroh@gscs.sk.ca or (306) 659-7678.enCopyright 2013Mon, 04 Mar 2013 23:26:40 -0600 Parent & Student Learning Community InstructionsGSCS Parent & Student Learning Community Instructions.doc ]]> 04 Mar 2013 23:21:41 -0600Updated Post-Secondary InformationThe following documents contain information regarding Saskatchewan post-secondary institutions mathematics admission requirements. All students and parents are advised to directly refer to the websites of the post-secondary institutions regarding admission requirements as information may have been updated since the creation of these documents.Pathways and Post Secondary Information Jan 2013.doc ]]> 26 Feb 2013 15:33:44 -0600Workplace And Apprenticeship 10A Wiki was made by Shawna Stangel, an instructional consultant for Regina Public Schools. Visit the link below to find out more. ]]> 11 Jan 2011 15:54:34 -0600Mathematics Curriculum Information and Support for ParentsValuable math curriculum information can be accessed through these two documents released by Manitoba Education. The information provided reflects the math curriculum implemented in Saskatchewan and discusses ways parents and guardians can help their child learn. ]]> 02 May 2010 13:47:16 -0600Grade 10 Math Courses Students are strongly encouraged by the Ministry and GSCS to take both of the Grade 10 math courses: Foundations and Pre-Calculus 10 & Workplace and Apprenticeship 10. Rationale: ·Students will benefit as there is rigorous math learning in both courses. This will allow students to develop a deep foundational understanding of mathematics. ·Students should be exposed to the mathematics in all three of the pathways before deciding on a pathway. ·It delays the decision regarding which pathway to take until Grade 11. This course is designed to provide students with the mathematical understandings and critical-thinking skills identified for entry into the majority of trades and for direct entry into the work force. Topics include: measurement, geometry, consumer math, and algebra. Foundations of Mathematics and Pre-Calculus 10 (FM 10) Prerequisite: Mathematics 90 This course is designed to provide students with the mathematical understandings and critical-thinking skills identified for entry into post-secondary programs. Topics include: measurement, trigonometry, exponents, polynomials, factoring, irrational numbers, and relations and functions. French Immersion Mathematics Courses: Both of the Grade 10 Mathematics Courses: Workplace and Apprenticeship Mathematics 10 and Foundations of Mathematics and Pre-Calculus 10will be offered as part of the French Immersion Program. Students are recommended to take both courses in French to obtain the number of credits required for a Bilingual Diploma. Milieux de travail et formation d'apprentis 10 (WA 10F) This course is for students in the French Immersion Program. It covers the same topics as Workplace and Apprenticeship Mathematics 10. Fondements des mathematiques et Précalcul 10 (FM 10F) This course is for students in the French Immersion Program. It covers the same topics as Foundations of Mathematics and Pre-Calculus 10. This pathway is designed to provide students with the mathematical understandings and critical-thinking skills identified for post-secondary studies in programs that do not require the study of theoretical calculus. Topics include financial mathematics, geometry, measurement, number sense, logical reasoning, relations and functions, statistics and probability. Workplace & Apprenticeship Mathematics This pathway is designed to provide students with the mathematical understandings and critical-thinking skills identified for entry into the majority of trades and for direct entry into the work force. Topics include algebra, geometry, measurement, number sense, statistics and probability. Pre-Calculus This pathway is designed to provide students with the mathematical understandings and critical-thinking skills identified for entry into post-secondary programs that require the study of theoretical calculus. Topics include algebra and number sense, measurement, relations and functions, trigonometry, and permutations, combinations and binomial theorem. Mathematics 11 & 21 This pathway is designed for students who require a modified mathematics program. The purpose of this site is to provide parents and students in the Greater Saskatoon Catholic School Division with information about the renewed secondary mathematics curriculum. Please view the division letter to parents of Grade 9 students (2009-2010 school year) and the Saskatchewan Ministry of Education brochure: "A Parent's Guide to the Renewed Seconday Mathematics Program":
This site provides about 35 graphical applets on topics relative to Algebra, Precalculus, Calculus, and Statistics. These... see more This site provides about 35 graphical applets on topics relative to Algebra, Precalculus, Calculus, and Statistics. These are designed for classroom demonstrations of various mathematical/statistical concepts. From the popular Annenberg/CPB Channel workshop "Private Universe Project in Mathematics," this Shockwave simulation provides... see more From the popular Annenberg/CPB Channel workshop "Private Universe Project in Mathematics," this Shockwave simulation provides a hands-on way to introduce combinatorics through inquiry: You have two colors of cubes available with which to build towers. Your homework task is to make as many different looking towers as is possible, each exactly four cubes high. A tower always points up, with the little knob on top. Find a way to convince yourself and others that you have found all possible towers four cubes high and that you have no duplicates. This applet is a web based lab that explores the properties of rational functions. The purpose of this lab is to help the... see more This applet is a web based lab that explores the properties of rational functions. The purpose of this lab is to help the student to learn to predict the shape of the graph of a rational function, and in particular to locate its various vertical asymptotes (spikes) and its horizontal or slant asymptotes (spears). 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 videopaper by the Math Forum's Bridging Research and Practice Group (BRAP) of teacher practitioners and Math Forum Staff... see more This is a subsite associated with the parent site called IDEA (Internet Differential Equation Activities). The activity on... see more This is a subsite associated with the parent site called IDEA (Internet Differential Equation Activities). The activity on this page explores the effect of drag in modeling the motion of a hydroplane racing boat using the basic force balancing equation. Interactive Java applet graphing utilities provide visualizations of the results.
Combo Calculator Desciption: Advertisements Full featured free calculator providing all the essential features of a calculator and more. The software handles all basic and advanced features required by most users and includes several advanced features within a scientific calculator. It evaluates all major mathematical expressions and supports various trigonometric functions, exponential function, logarithms, factorials, etc. Round and cube root are the special features of this calculator. Review Combo Calculator Calculator Prompter is a math expression calculator. You can evaluate expressions like sin(cos(tan(pi)))#2%10^3 Calculator Prompter has a built-in error recognition system that helps you get correct results: - Paste operator here; - Paste numberOrneta Calculator is a simple and easy to use application that acts like a standard scientific handheld calculator for Windows Mobile based Smartphone's. Just use your Smartphone when a separate handheld calculator is too much. Enjoy the simple access... DesktopCalc is an enhanced, easy-to-use and powerful scientific calculator with an expression editor, printing operation, result history list and integrated help. Desktop calculator gives students, teachers, scientists and engineers the power to find... Integrated spreadsheet with 14 inline calculators and calculator keys to increase your power and accuracy of your cognitive mathematical decisions for projections and estimating. It has the following advantages over a spreadsheet and a calculator.
ics for Computer Science is an introductory course in discrete mathematics oriented toward students interested in computer science and engineering. The course divides roughly into thirds: fundamental concepts of mathematics: definitions, proofs, sets, functions, and relations. Discrete structures: modular arithmetic, graphs, state machines, and counting. Discrete probability is the third section, and completes the course. The website itself offers lecture slides, assignments, and course notes for each reading section. The site is a valuable resource.Fri, 7 Nov 2008 03:00:01 -06Computational Geometry Pages comprehensive directory of computational geometry resources both on and off the Internet. General Resources, Literature, Research and Teaching, Events, Software, other links. Also found at 27 Dec 2007 03:00:03 -0600Convex and Discrete Geometry on convex and discrete geometry. Applications and related fields and subfields; textbooks, reference works, and tutorials; software and tables; other web sites with this focus.Mon, 17 Dec 2007 03:00:02The Josephus Problem Josephus was a Jewish historian living in the first century when he and his comrades found themselves trapped in a cave. Surrounded by Roman centurions, this band chose suicide over capture, and they elected to form a circle and then start killing themselves. From this rather traumatic situation came the well-known Josephus Problem, a classic problem of recreational mathematics. This educational resource offered by Doug Ensley of Shippensburg University will help math teachers teach their charges about this fabled problem. This site includes an interactive demonstration of the problem, complete with a historical background essay. Additionally, the site also contains information about making the best use of this resource in the classroom.Wed, 5 Dec 2007 03:00:02 -0600Discrete Math Resources: Flash Applications applets accompany the textbook, Discrete Mathematics: Mathematical Reasoning and Proof with Puzzles, Patterns and Games, by Doug Ensley and Winston Crawley, published by John Wiley and Sons. The development of some material on this site was funded by NSF DUE-0230755.Tue, 27 Nov 2007 03:00:02 -0600Problems With a Point With a Point is a site developed for mathematics students and teachers in grades 6-12. The site contains practice problems on various topics that designed to help students understand mathematical concepts and practice their technical skills. The site allows users to search for problems by topic, problem solving strategy, mathematics background, technology type, or duration of the lesson/activity. Problems, hints, solutions and answers are available in both HTML and PDF formats. This is an excellent resource for students to practice and review their math skills.Fri, 16Interactivate: Math Activities is a national resource for computational science education, sponsored by the NSDL and CSERD. In order to help students better comprehend and learn the mathematical components of computer science, Shodor has produced this extensive list of activities and projects that students can complete, or that teachers can assign, in order to understand the relevant ideas and put these ideas in a pertinent context for program design. Included are problems, exercise descriptions, and answer keys where appropriate. The emphasis on math in this website makes the activities described valuable to algebra, geometry, and calculus classes in addition to those professors of computer science. The site will be valuable to educators and students alike as teaching aids and student projects.Wed, 7 Nov 2007 03:00:01 -0600On-line electronic textbook of college level Mathematics on-line electronic textbook, specifically for A level courses from AQA, OCR, Edexcel. Suitable for many American university undergraduate courses. 5,700 pages of text and questions. All questions have worked solutions.Sat, 4 Aug 2007 03:00:03 -0500University of British Columbia Calculus Online Homepage site is an online supplement to a mathematics courses being taught within the University of British Columbia Department of Mathematics. The content includes course notes (Definite Integrals and the Fundamental Theorem of Calculus, Applications of the Definite Integral, Techniques for Antidifferentiation, Differential Equations, Weighted Averages, More Techniques for Integration, Taylor Polynomials and Series), labs, in-class demonstrations (Introduction to Integration, Differential Equations, Probability, Series), and links to other interesting sites.Fri, 3 Aug 2007 03:00:02 -0500The Mathematical Atlas started by Professor Dave Rusin of Northern Illinois University, the Mathematical Atlas is now a very large "collection of articles about aspects of mathematics at and above the university level, but (usually) not at the level of current research." The amount of material is immense; fortunately, there are multiple ways of browsing the site. Subjects are mainly geared toward modern mathematics, and there are currently 97 different areas covered. Each article gives a basic introduction to the subject, applications and related fields, and selected topics. There are also many references to resources, both books and online, that discuss the topic in greater detail.Fri, 27 Jul 2007 03:00:01 -0500
Related Courses An introduction to geometry for the elementary/middle school curriculum. Emphasis on proof techniques and content areas of Euclidean and non-Euclidean topics. Prerequisite: MATH 172, MATH 225, or MATH 270. Spring.
Tag Archives: Calculus 3 Someone asked me recently what was the one thing that's changed the most about my teaching over the last 10 years. My response was that I'm a lot more likely now than I was in 2002 to organize my classes around asking and answering questions rather than covering material. Here's one reason why. The weekly Mathematica labs that we have in my Calculus 3 class are set up so that some background material (usually a combination of math concepts and new Mathematica commands) is presented in the lab handout followed by some situations centered around questions, the answers to which are likely to involve Calculus 3 and Mathematica. I said likely, not inevitably. There is no rule that says students must use Calculus 3 to answer the question. The only rules are: (1) the entire solution has to be done in a Mathematica notebook, and (2) the solutions have to be clear, convincing, and
Most Mathematics courses have prerequisites that are listed as part of the course description in the Schedule of Classes. Before registering for a Mathematics course, be sure you have completed the stated prerequisite. Note to all Algebra students: The Math Department uses a single textbook for the Elementary and Intermediate Algebra sequence. This allows students to complete the Algebra sequence in three different ways: a four semester sequence of MATH 111, 112, 122, and 123 each covering one fourth of the book; a two semester sequence of MATH 110 and MATH 120 each covering half of the book; or a combination of the above. Please see your counselor to be sure you take the correct course.
Elementary Algebra CRN: 51050 Section: MATH 099-701 Schedule: Online Class Dates: 05-21-2014 – 08-06-2014 Availability: 22 (Capacity: 24) Campus: Online Credits: 3 credit hours Instructor: Staff Course Description Topics include the algebra of whole numbers, integers, and rational numbers; binary operations involving polynomials; introduction of the laws of exponents; equation-solving techniques for first-degree equations; solving simultaneous linear equations by graphing, substitution and addition methods; word problems. Assistance is available in the Center for Academic Success. No previous knowledge of algebra is assumed. Three class hours weekly.
Mathematics for Elementary Teachers 9780470105832 ISBN: 0470105836 Edition: 8 Pub Date: 2008 Publisher: Wiley, John & Sons, Incorporated Summary: Now in its eighth edition, this book masterfully integrates skills, concepts, and activities to motivate learning. It emphasizes the relevance of mathematics to help readers learn the importance of the information being covered. Burger, William F. is the author of Mathematics for Elementary Teachers, published 2008 under ISBN 9780470105832 and 0470105836. Four hundred seventy six Mathematics for Elementary T...eachers textbooks are available for sale on ValoreBooks.com, one hundred seventy six used from the cheapest price of $0.01, or buy new starting at $33
Suggested News Resources If you took a linear algebra class at some point in your life then you might recall the term eigenvalues. Matrices have them, and they play a central role in understanding linear transformations, among other things. For $1, the app covers everything from fractions, percentages and geometry of basic math to more complex mathematics, including linear algebra, series and sequences, derivatives, integration, probability and statistics. We have expertise to tackle challenging college level problems from probability, statistics, and linear algebra besides arithmetic, Algebra, Geometry, Calculus and other school level (K-12) subjects at a low cost
Beyond Comprehension We Have Yet To Adopt A Common Core 30 american educator winter 2010 2011 beyond comprehension we have yet to adopt a common core curriculum that builds knowledge grade by grade but beyond comprehension we have yet to adopt a common core Survey Of Mathematical Problems - Texas AM University iv preface to teach students how to read and understand mathematics and to give students con dence that when their own students ask them ques survey of mathematical problems - texas am university ELLs And Mathematics ELLs And MATHEMATICS word problems in math often pose a challenge because they require that students read and comprehend the text of the problem identify the question that ells and mathematics ells and mathematics Most Popular PDF Search News Related public domain math books
BJU Press' Geometry text walks the student step-by-step through the basic concepts of angles and degrees through more complex proofs and theorems. Brief chapter introductions and photographs bring in an element of real-world practicality, while biblically based material is also to shed light on the purpose of geometry. Example exercises provide additional help in recognizing theories, and instructions are given for each new concept; exercises follow, and are given in sets, with a cumulative review finishing off each unit. Concepts covered include incidence geometry; subsets; segments & measurement; angles and measurement; proofs; area; volume; symmetry; trigonometry and more. This Kit includes: Student Text Teacher's Edition (2 Volumes) Tests Test Answer Key Geometry Activity Manual Student Edition Geometry Activity Manual Teachers Edition Third Edition. This resource is also known as Bob Jones Geometry Grade 10 Homeschool Kit, 3rd Edition.
Control Systems These tutorials are designed to illustrate how to use MATLAB and Simulink for the analysis and design of automatic control systems. They cover the basics of MATLAB and Simulink, the most common classical control design techniques (PID, root locus, and frequency response), as well as some modern (state-space) control design. The Control Systems Toolbox is used extensively in these tutorials. Course Level: Senior undergraduate Graduate Type of content: MATLAB Primer/Tutorial Simulink Primer/Tutorial Prerequisite(s) / Target Audience: Students who need to learn or brush up on Matlab/Simulink. MathWorks Toolboxes or Blocksets used: Control Systems toolbox and Simulink Quanser Consulting, Inc., offers a complete line of feedback control experiments. The systems are robust, durable, and modular thus allowing you to reconfigure the same plant to obtain various experiments. Our experiments include the Inverted Pendulum, the Ball and Beam, the Seesaw/Pendulum MIMO experiment, and the Helicopter. All systems are equipped with quick-connect cabling, source code in C, handbooks, system modeling, and control system design files written in Maple, MATLAB, and Simulink. Capture your students' interest while teaching them well-established principles or give your research project an edge by implementing the new control strategies you are developing. Submitted: Mar 13, 2008 The aim of this course is to present an overview of several important design techniques for linear control systems. Topics covered include: feedback control theory; classical and multivariable control system design; uncertainty models and robustness; and H-Optimization and m-synthesis. Course material created by Maarten Steinbuch, Gjerrit Meinsma, Okko H. Bosgra, and Huibert Kwakernaak. Topics covered in this course include: mathematical modeling of signals and systems; continuous and discrete signals, with applications to audio, images, video, communications, and control; state-based models, beginning with automata and evolving to LTI systems; and frequency domain models for signals and frequency response for systems, and sampling of continuous-time signals. A MATLAB-based laboratory is an integral part of the course. Course material created by Professor Babak Ayazifar.
Plane and SphericalTrigonometry with Tables - J. Shibli PREFACE In preparing this text in trigonometry the author has con-stantly kept in mind (1) the student, (2) the subject matter, and (3) the teacher. THE STUDENT The aim has been to present trigonometry to the student in such a way as to make it interesting and understandable. The following features are designed to enlist his interest and arouse his desire to pursue the course: 1. The book aims to create in the student an early appreciation of the value of trigonometry and to set him thinking abo... Keywords:Plane and Spherical Trigonometry; Tables; Trigonometry; triangles; plane; planes; sphere; spheres Downloads: 304
24David Poole's innovative book emphasizes vectors and geometric intuition from the start and better prepares students to make the transition from the computational aspects of the course to the theoretical. Poole covers vectors and vector geometry first to enable students to visualize the mathematics while they are doing matrix operations. With a concrete understanding of vector geometry, students are able to visualize and understand the meaning of the calculations that they will encounter. By seeing the mathematics and understanding the underlying geometry, students develop mathematical maturity and can think abstractly when they reach vector spaces. Throughout the text, Poole's direct conversational writing style connects with students, and an abundant selection of applications from a broad range of disciplines clearly demonstrates the relevance of linear algebra. Table of Contents Preface vii To the Instructor xvii To the Student xxiii Vectors 1 (57) Introduction: The Racetrack Game 1 (2) The Geometry and Algebra of Vectors 3 (12) Length and Angle: The Dot Product 15 (16) Exploration: Vectors and Geometry 29 (2) Lines and Planes 31 (16) Exploration: The Cross Product 45 (2) Code Vectors and Modular Arithmetic 47 (11) Vignette: The Codabar System 55 (1) Chapter Review 56 (2) Systems of Linear Equations 58 (76) Introduction: Triviality 58 (1) Introduction to Systems of Linear Equations 59 (9) Exploration: Lies My Computer Told Me 66 (2) Direct Methods for Solving Linear Systems 68 (22) Exploration: Partial Pivoting 86 (1) Exploration: Counting Operations: An Introduction to the Analysis of Algorithms
books.google.com - Fourier Series and Transforms, a software and text package, complements standard textbooks and lecture courses by providing a solid overview of the topic. The software provides more extensive illustrations than a conventional text with interactive programs that have been designed to be open to modifications.... Series and Transforms
Description This new series from OUP, working in conjunction with OCR, is designed to offer a complete supporting package of resources for teachers and students following OCR's GCSE Mathematics Specification A from September 2010. This Evaluation Pack contains both Student Books, sample Teacher Guide and Practice Book pages, and a demo OxBox CD-ROM. Features Focus on attainment, with particular emphasis on grade borderlines and the new process skills Graduated questions, with the level of demand building gradually to provide a steady learning experience Rich tasks and activities, linked to the new AO3 strand to promote an exploratory approach to teaching and learning Real-life case studies every few chapters, to deliver functional maths and promote engagement Comprehensive teacher resources with practical and accessible lesson plans designed for a full range of teaching experience and needs - including NQTs - with a focus on the new processes, and linked to ICT
A continuation of basic algebra topics, MATH 25 is the second course in a two semester sequence of Elementary Algebra courses. Instruction includes units on exponents, polynomials, factoring, rational expressions and equations, radical expressions and equations, and quadratic equations. See detailed objectives. Circulating Books in KCC Library Cliffs Quick Review: Algebra I - Covers several MATH 24 topics as well as polynomials, factoring, quadratic equations, word problems. Includes practice problems with solutions and a glossary. The Complete Idiot's Guide to Algebra, 2nd Ed. - Polynomials, factoring, radicals, quadratic equations and inequalities, graphing. MATH 25 topics are primarily covered in the second half of the book. A glossary is provided, as are about a dozen practice problems per chapter, with answers at the end of the book. Algebra Demystified - Chapters on variables, negative numbers, exponents and roots, factoring, linear equations, and linear inequalities. Includes both step-by-step examples and practice problems, although answers are frequently on the same page as the exercises. Bob Miller's Algebra for the Clueless (2nd edition) - Covers signed numbers, ratio and proportion, linear equations, polynomials, and graphs, among other topics. Some very detailed example problems, with explanations given for each step in the solution. Lacks practice exercises.
A Course in Real Analysis provides a solid foundation of real analysis concepts and principles presenting a broad range of topics in a clear and concise manner. The book is excellent at balancing theory and applications with a wealth of examples and exercises. The authors take a progressive approach of skill building to help students learn to absorb the abstract. Real world applications, probability theory, harmonic analysis, and dynamical systems theory are included, offering considerable flexibility in the choice of material to cover in the classroom. The accessible exposition not only helps students master real analysis, but also makes the book useful as a reference. * New chapter on Hausdorff Measure and Fractals* Key concepts and learning objectives give students a deeper understanding of the material to enhance learning* More than 200 examples (not including parts) are used to illustrate definitions and results* Over 1300 exercises (not including parts) are provided to promote understanding* Each chapter begins with a brief biography of a famous mathematician
Intermediate Algebra: Concepts and Applications The Bittinger Concepts and Applications Program delivers proven pedagogy, guiding students from skills-based math to the concepts-oriented math ...Show synopsisThe Bittinger Concepts and Applications Program delivers proven pedagogy, guiding students from skills-based math to the concepts-oriented math required for college courses
Mathematics and Its History 9780387953366 ISBN: 0387953361 Edition: 2 Pub Date: 2001 Publisher: Springer Verlag Summary: From the reviews of the first edition: "[This book] can be described as a collection of critical historical essays dealing with a large variety of mathematical disciplines and issues, and intended for a broad audienceA? we know of no book on mathematics and its history that covers half as much nonstandard material. Even when dealing with standard material, Stillwell manages to dramatize it and to make it worth rethin...king. In short, his book is a splendid addition to the genre of works that build royal roads to mathematical culture for the many." (Mathematical Intelligencer) This second edition includes new chapters on Chinese and Indian number theory, on hypercomplex numbers, and on algebraic number theory. Many more exercises have been added, as well as commentary to the exercises explaining how they relate to the preceding section, and how they foreshadow later topics. Stillwell, John is the author of Mathematics and Its History, published 2001 under ISBN 9780387953366 and 0387953361. One hundred ninety eight Mathematics and Its History textbooks are available for sale on ValoreBooks.com, seventeen used from the cheapest price of $29.88, or buy new starting at $32.41
MATHEMATICS UPDATED: 1/31/2013 MATHEMATICS COURSE PROGRESSIONS The Mathematics Department seeks to serve students by assisting each student in developing the knowledge and skills he or she will find useful in further courses of study or in real life situations. Most freshman enter this progression at the Algebra I level. Students that have not previously taken honors math courses may enter the honors math program through an application process. The Standards for Mathematical Practices from the Common Core: Make sense of problems and persevere in solving them. Reason abstractly and quantitatively. Construct viable arguments and critique the reasoning of others. Model with mathematics. Use appropriate tools strategically. Attend to precision. Look for and make use of structure. Look for and express regularity in repeated reasoning. In order to meet the varying demands, needs and abilities of our students and to address all of the Performance Indicators in the Common Core, the Mathematics Department offers a wide range of courses. We strongly encourage students to take a math course in each of their four years in high school since the single greatest predictor of success in college or technical college courses is completion of four years of high school mathematics. Three credits in mathematics are required for graduation. NOTES: Honors courses are available in Geometry, Algebra 2, Precalculus and Calculus. Students need the approval of the mathematics department to enroll in honors courses. Algebra 1 - Part 1 and Algebra 1 - Part 2 together are worth two (2) math credits and combined are the equivalent of Algebra 1. Entry into any course is dependent upon successful completion (recommended C or better) of the prerequisites listed for that course in the Program of Studies. When a student earns a grade of (D or lower) in a math course, that student is inadequately prepared for success in the next math course. Students who are having difficulty succeeding in their math course may change from one course to another, with the permission of the teachers involved in the change. This change must take place by the 5th week of the course. Any course changes after that time will be done only if initiated by the teacher of the course. No changes will be made without the permission of the parent. All students should plan to leave MDIHS with at least the equivalent of Geometry, which may mean that some students will take 4 or more math courses. In recent years, it has become increasingly important for most students to complete Algebra 2. Most technical schools require completion of Algebra 2 and the State Assessment Tests now include Algebra 2 skills. Admission to Honors math classes can happen in several different ways: Students who take Algebra I in 8th grade take the Form 9 exam in the spring of their 8th grade year. If the test performance meets high school requirements, the 8th grade teacher recommends admission and the student has high grades in Algebra I, then he/she may enroll in Honors Geometry. Students who have taken Accelerated or College level math courses at MDIHS may apply for honors math classes. In order to be accepted, the student must complete an application form, have high grades in their previous math classes, have scores of 3 or 4 on all performance indicators on common assessments, score at least 80% on an exam that covers essential Algebra skills and receive a letter of acceptance. In order to remain eligible for Honors math classes, students must maintain a B- or better average in the honors level math class and have scores of 3 or 4 on all indicators on common assessments. Readmission to honors math classes requires a written application and a letter of acceptance from the math department. An Algebra skills test may also be required. Honors courses are available in Geometry, Algebra 2, Pre-calculus and Calculus. Students need the approval of the mathematics department to enroll in honors courses. COURSES MATH LAB Open to: 9-12 Credit: 0 The Math Lab is a supported study hall for any student enrolled in a math class. Students will receive support for their math class, including reviewing prerequisite skills, reteaching new concepts, and assistance on homework. Students in enrolled in the Math Lab are expected to use study hall time to complete their math homework and have the Math Lab supervisor check their work before moving on to homework for other courses. In addition, students may use the Math Lab to practice for the PSAT, SAT, or the Accuplacer Exam. Elective credit can be attained for students who go above and beyond the requirements for their math course. ACADEMIC DEVELOPMENT Open to: 9 Credit: Up to 2 credits Prerequisite: Recommendation by teacher - see criteria for recommendation (below) Academic Development is a full-year course designed to improve specific academic skills and support first-year students as they transition into the high school learning environment. The class will focus on reading, writing, and mathematics, with one-half of the time being devoted to building basic (algebra readiness) mathematics skills, and the other half aimed at improving reading and writing skills. Study skills relating to success in all academic subjects will also be taught. Some of the work completed in this class will support the 9th-grade English/Social Studies curriculum. Academic Development class will be team taught. It will replace the Foundations of Applied Math class as well as Resource Study Hall, where appropriate. Students will earn elective credit and the grade will be P/F. Eligible students will meet at least two of the following criteria: Recommendation by 8th-grade teacher in cooperation with high school guidance counselor, and/or Special Educator. Pattern of not meeting state/district learning standards on standardized tests in reading, writing, and math. In this course, students will focus on the essential skills needed to be successful in Algebra 1. The course will begin by building on number sense, computation skills and reviewing pre-algebra skills. Once students are proficient in these prerequisite skills, they will advance to the Algebra 1 standards listed below. Student progress will be assessed from class participation, assignments, classroom activities, common assessments, notebooks, quizzes and tests. Students will examine the question, "How can we describe phenomena using algebraic models?" Upon successful completion of this course all students will meet the essential standards for Algebra 1. Some students may continue on to Algebra 1, Part 2; however, most students will continue to Applied Geometry and Math 11/12 to meet the graduation requirement for mathematicsIn Algebra 1 - Part 1 and Part 2, students will learn Algebra 1 concepts. This two-part Algebra course is divided into two credits and is studied over two semesters so that students have more opportunities to do "hands on" activities, to review previous math topics, to practice new skills and to allow for spiraling of new concepts. In Part 1, students will learn about variables, applying formulas, solving word problems with variables, solving linear equations, graphing linear equations with 2 variables and probability 1, students will need to complete their algebra 1 study with Algebra 1-Part2. The curriculum and instructional materials used in Algebra 1-Part 1 and Part 2 are the same as those used in Algebra 1. Essential Standards: Interpret the structure - PART II Credit: 1 Open to: 9, 10, 11 Prerequisite: Successful completion of Algebra 1 - Part 1 or approval of the Learning Area Leader Students in Algebra 1-Part 2 will continue the study of Algebra 1 concepts that they started in Algebra 1-Part 1. They will explore these concepts through both "hands on" activities and traditional exercises. They will learn more about solving linear equations, graphing linear relationships, inequalities, systems of equations, exponents and powers, exponential equations, square roots and quadratic equations, polynomials, factoring and functions 2, students will be prepared to take Geometry or Applied Geometry Credit: 1 Open to: 9, 10 Prerequisite: Recommendation of 8th grade math teacher In this course students will learn to solve problems with one and two variables, to solve equations with the variables raised to the first or second power, to graph equations and inequalities and to do some probability problems. Students will be required to use algebraic symbols and formulas to carry out operations on equations for solving problems on daily homework assignments. The question, "How can phenomena be described algebraically?" will be explored. Student progress will be assessed by tests, quizzes, projects, common assessments, class participation and assignments. Students should expect to have out of class assignments frequently. Students satisfactorily completing Algebra 1 should be academically prepared to successfully complete Geometry andACCELERATED ALGEBRA I Credit: 1 Open to: 9 Prerequisite: Substantial exposure to Algebra 1 in 8th grade, but not enough to qualify for Honors Geometry and recommendation of 8th grade math teacher Students enrolled in this course will learn algebra in greater depth than in the regular Algebra I course. In this course students will learn to solve problems with one and two variables, solve equations with the variables raised to the first or second power, and to graph linear and quadratic equations and inequalities. Students will also do some probability problems. Students will be required to use algebraic symbols and formulas to carry out operations on equations for solving problems on daily homework assignments. In this class, students will explore the question, "How is algebra used to model phenomena?" Student progress will be assessed by tests, quizzes, projects, common assessments, class participation and daily assignments. Students should anticipate out of class assignments on most days. Students successfully completing Accelerated Algebra 1 should be academically prepared to successfully complete Geometry and Algebra 2. Some students completing this course may be advised to apply for admission to Honors Geometry and HonorsGEOMETRY Credit: 1 Open to: 10, 11, 12 Prerequisite: Algebra 1 or Algebra 1-Part 2 In this geometry course, students learn using a discovery approach, which encourages them to identify the properties of geometry by observing, investigating and forming their own conclusions. Concepts are first introduced visually, then inductively. Some of the work in class is done in cooperative groups. The question, "How are patterns used to discover properties of geometry?" is central to the course. Students in this course are required to have a compass, straightedge, protractor and scientific calculator. In addition to using these traditional tools, students will explore geometric ideas using the computer program, Geometer's Sketchpad. Students will learn about inductive reasoning, angles, triangles, quadrilaterals, circles, coordinate geometry, perimeter, area, volume, transformations, networks, congruence, similarity and trigonometric relationships. Student progress will be assessed through daily assignments, quizzes, tests, projects, in-class group work, common assessments and class participation. Student notebooks are necessary in this class for recording definitions, results of investigations and conjectures. Students completing this course should plan to take Algebra 2. Essential Standards: Experiment with transformations in the plane; understand congruence in terms of rigid motions. In this geometry course students will study geometry at a slower pace to completely understand complex concepts. Students will learn in a discovery approach, identifying the properties of geometry by observing, investigating and forming their own conclusions. Much of the work in class is "hands on"; some work is done in cooperative groups. The question, "How are patterns used to discover properties of geometry?" is central to the course. Students in this course are required to have a compass, straightedge protractor and a scientific calculator. In addition to using these traditional tools, students will sometimes explore geometric ideas using the computer program, Geometer's Sketchpad. Students will learn about inductive reasoning, angles, triangles, quadrilaterals, circles, coordinate geometry, perimeter, area, volume, transformations, congruence, similarity and trigonometric relationships. The class indicators of progress will be daily assignments, quizzes, tests, projects, in-class group work, common assessments and class participation. Student notebooks are necessary in this class for recording definitions, conjectures and class notes. Students completing this course may choose to take Algebra 2. Essential Standards: Experiment with transformations in the plane; understand congruence in terms of rigid motions. Prerequisite: Formal application and acceptance to this course is required. Students eligible for application include those who have completed Accelerated Algebra I with a grade of B or higher, Algebra 1 with a grade of A- or higher and satisfactory completion of an entrance exam, or with a score of 80% or higher on Form 9 placement test and recommendation by the 8th grade teacher. (A student who took Algebra I in the 8th grade and who does not meet the prerequisites for this class will be advised to take Accelerated Algebra I.) Modeling with Geometry: Students in this course will learn definitions, theorems and postulates associated with geometric figures in one, two, and three dimensions. They will develop and apply formulas involving size and shape of geometric figures and right triangle trigonometry. Students will be required to prove theorems, construct various geometric figures and solve algebraically for the numerical solutions to problems involving measurements of polygons. Students will also investigate geometry concepts using the Geometer's Sketchpad software package. Students explore the question, "How can geometric concepts help us describe and explain real phenomena?" The class indicators of student progress will be tests, daily assignments, class participation and common assessments. Students in this class should anticipate out of class assignments every day. At the end of this course, students will be prepared for Algebra 2. Students who meet the prerequisites for the honors program should enroll in Honors Algebra 2. Essential Standards: Experiment with transformations in the plane; understand congruence in terms of rigid motions. This course is designed for older students who need a third math credit. In this course, students will continue to work on their algebra skills, covering topics such as solving and graphing linear inequalities, systems of equations, exponential growth and decay, variation, and probability and statistics. In addition, students will be given practice on arithmetic and other skills needed to be successful on the Accuplacer Exam, a college placement exam used by many community colleges. Experiential learning may provide an introduction to personal banking and how math is used in local professions. Essential standards for this course are the same as for Algebra 1, but students will look at more complex problems relating to these standardsRepresent and solve equations and inequalities graphically. ALGEBRA II Credit: 1 Open to: 10, 11, 12 Prerequisite: Algebra I with a grade of C- or above recommended and Geometry In Algebra II, students will learn about direct and indirect variations, linear programming, systems of equations, matrices, functions (linear, quadratic and exponential), exponents and radicals, statistics, and trigonometry. Throughout the course, students will be using problem-solving, reasoning and communication skills. Scientific calculators are required and graphing calculators are occasionally used. Students will ask, "How can real life phenomena be modeled algebraically?" Progress in this course will be assessed through assignments, group work, common assessments, notebooks, lab activities, quizzes, tests, and class participation. Students should expect regular, daily work, to be completed outside of class. Students successfully completing Algebra 2 will be prepared to takeHONORS ALGEBRA II Credit: 1 Open to: 10, 11 Prerequisite: Honors Geometry with a grade of B or higher or Geometry with successful completion of an entrance exam and written approval of the Learning Area Leader. Formal application and acceptance to this course is required. Honors Algebra II is an honors-level course in which students learn at a faster pace and in more depth than the regular Algebra II class. Students will study direct and indirect variations, recursive and explicit expressions, linear programming, systems of equations, matrices, functions (linear, quadratic exponential and logarithmic), exponents and radicals, statistics, and trigonometry. Problem-solving, reasoning and communication skills are emphasized throughout the course. Graphing calculators are used frequently. Students will ask, "How can real life phenomena be modeled algebraically?" Progress in this course will be assessed through assignments, group work, common assessments, lab activities, quizzes, tests and class participation. Students should anticipate daily out of class assignments. Students completing this course with a B- or better will be eligible to take Honors Pre-calculus, Probability and Statistics or AP Statistics. Students with a lower grade will be recommended forPRECALCULUS Credit: 1 Open to: 11, 12 Prerequisite: Algebra II Students in this course will explore topics in Advanced Algebra and Trigonometry. Topics will include the linear and quadratic functions, polynomial functions, trigonometry of triangles, graphs of trigonometric functions, trigonometric identities, exponents and logarithms. Students will ask, "How can real life phenomena be modeled algebraically?" Students will be required to solve a variety of problems in the above topics. Assessment of learning will include daily assignments, projects and tests. Many of the applications will involve the use of a TI-83 or TI-84 graphing calculator; the purchase of a TI-83/84 is suggested, but not required. Students should anticipate frequent out of class assignments. This course is designed for students who are interested in continuing their study of mathematics. Students who successfully complete this course should be prepared for entry-level mathematics courses at most colleges. Students may take this course concurrently with Probability and Statistics, if scheduling allowsHONORS PRECALCULUS Credit: 1 Open to: 11, 12 Prerequisite: Honors Algebra II with a grade of B- or higher or Algebra II and Geometry with grades of A- or higher along with the following: completion of math honors application, satisfactory performance on algebra skills test and written approval of Learning Area Leader. Honors Pre-calculus is an honors level course where students study linear, quadratic, polynomial, rational, exponential, logarithmic, and trigonometric functions. These functions will be presented in a variety of ways: verbally, geometrically, numerically, and analytically. Students will learn about the properties of functions, graphs of functions and practical applications of functions. In addition, students will be introduced to limits. Other topics may be covered as time allows. Students continue to explore the question, "How can real life phenomena be modeled algebraically?" The purchase of a TI-83/84 graphing calculator is highly recommended, but not required. Students will be assessed in a variety of ways including assignments, problem sets, tests, quizzes, notebooks and class participation. In all assessments, students will be expected to demonstrate their mastery of concepts mathematically and narratively. Students should expect a significant amount of work outside of class on a daily basis. Students successfully completing this course will be prepared to take CalculusPROBABILITY AND STATISTICS Credit: 1 Open to: 11, 12 Prerequisite: Algebra II A New York Times headline reads, "For Today's Graduate, Just One Word: Statistics". We live in a world of digital data. The internet allows companies and organizations to constantly collect data, yet without people who are trained in analyzing and making sense of all of it, the information alone isn't very useful. The growing consensus is that students who want an edge in the competition for top jobs need a foundation in statistics. Besides being among the most useful skills for high schoolers, data analysis is fun and interesting. Probability and Statistics is an introductory course offered to juniors and seniors who have completed Algebra II. are interested in taking a mathematics elective and in becoming well prepared for a college level statistics courseADVANCED PLACEMENT STATISTICS Credit: 1 Open to: 11, 12 Prerequisite: Algebra II Students who enroll in AP Statistics should be prepared for the rigor required to learn all of the content necessary to perform well on the AP examination and to allow time for practice for this exam. In this course, students will explore advanced topics in statistics with emphasis on the study and collection of data, and the inferences one can make from such data. Throughout the course, students will explore the questions: "Do statistics lie?", "How do we interpret statistics to become informed citizens?" and "How is the likelihood of different events determined?" wish to satisfy a college requirement with the AP exam. This course will be offered in the fall semester, with AP exam practice sessions offered after school during the spring semesterHONORS CALCULUS Credit: 1 Open to: 11, 12 Prerequisite: Honors Pre-calculus with a grade of B- or higher or completion of math honors application or an algebra skills test and written approval of Math Learning Area Leader, if grade is below B-. Students taking Calculus will continue to look at functions, and how they change, from a variety of perspectives: geometrically, verbally, numerically, and analytically. This course will cover the four basic tenets of calculus; limits, derivatives, definite integrals and indefinite integrals. "Real life" applications of calculus will be studied throughout the course. A TI-83 or TI-84 calculator will be required as the technology is used to reinforce concepts. Students will be assessed on tests, quizzes, daily assignments, problem sets and notebooks. Organization will be imperative. This one semester, college level calculus class will cover the content of the AP curriculum. Students who are successful in this course will be encouraged to take Advanced Placement Calculus where the emphasis will be on preparing for the AP exam in May. Students who have successfully completed Honors Calculus will have the option of continuing their study of calculus and preparing to take the AP exam in May. It is important for students to realize that, after completing first semester calculus, they will have already learned the required material for the AP Calculus AB exam. This Advanced Placement course will have three main focuses: a continuation of advanced calculus topics, preparation for the AP exam and a project of the student's own choosing. Completion of this course, along with the first calculus course will give provide students with the equivalent of a college course in calculus.
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. Five hundred twenty eight Problem Solving Approach to Mathematics for Elementary School Teachers, A (11th Edition) textbooks are available for sale on ValoreBooks.com, one hundred fifty nine used from the cheapest price of $84.95, or buy new starting at $1389780321756664-3-0-3 Orders ship the same or next business day... [more]Philadelphia, PAShipping:Standard, Second DayComments:ALTERNATE EDITION: This is a loose-leaf edition text book (same content, just cheaper!!). May not contain ... [more] loose-leaf edition text book (same content, just cheaper!!). May not contain access card/supplementary materials. Second day shipping available, ships same [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!!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!!This is the U.S. student edition as pictured.edited shipping within U.S. will arrive in 3-5 days. Hassle free 14 day return policy. Contact Customer Service for questions.[less]
Elementary Linear Algebra 9780534951900 ISBN: 0534951902 Edition: 4 Pub Date: 1995 Publisher: Thomson Learning Summary: This outstanding text starts off using vectors and the geometric approach, featuring a computational emphasis. The authors provide students with easy-to-read explanations, examples, proofs, and procedures. Elementary Linear Algebra can be used in both a matrix-oriented course, or a more traditionally structured course. Venit, Stewart M. is the author of Elementary Linear Algebra, published 1995 under ISBN 97...80534951900 and 0534951902. Two hundred forty three Elementary Linear Algebra textbooks are available for sale on ValoreBooks.com, one hundred twenty one used from the cheapest price of $18.55
Calculator provides advanced graphing for calculus, AP courses and university studies. Permitted for use on many state and standardized tests. Includes official AP calculus review questions on the enclosed product CD. Graphs functions, parametric and polar equations, recursively-defined sequences, three-dimensional surfaces, and differential equations. Includes EE*Pro App for electrical ... TI-30XS MultiView calculator with four-line, 16-character display allows you to enter more than one calculation, compare results and explore patterns, all on the same screen. Enter and view calculations in common Math Notation via the MATHPRINT mode, including symbolic pi, stacked fractions, exponents and exact square roots. Use Toggle Key to view fractions and decimals in alternate forms. ... Dynamic full-color display with backlit capability. Thin and lightweight with easy touchpad navigation. Use digital images or your own photos and overlay with graphical elements on the screen. Student Software allows students to continue and/or complete assigned work outside of the classroom. Rechargeable battery included; lasts up to two weeks on a single charge. TI's most advanced scientific calculator is ideal for engineers, students and professionals. MultiView™ display allows you to view multiple calculations at the same time while MathPrint™ feature shows math expressions, symbols and stacked fractions as they appear in textbooks. Input data, scroll through entries and make edits like using a graphing calculator. Toggle key converts fractions and ... The TI-34 MultiView scientific calculator comes with the same features that made the TI-34 II Explorer Plus so helpful at exploring fraction simplification, integer division and constant operators. Enter statistical data for 1- and 2-var analysis as well as for exploring patterns via list conversions to see different number formats like decimal, fraction and percent side-by-side. Quickly view ... The two-line display scientific calculator combines statistics and advanced scientific functions and is a durable and affordable calculator for the classroom. The two-line display helps students explore math and science concepts in the classroom. Ideal for: General Math Algebra 1 & 2 Geometry Trigonometry Statistics Science Display Two-Line Shows entries on the top line and results on the ... Ideal for the algebra classroom. Lets students graph and compare functions, as well as perform data plotting and analysis. Horizontal and vertical split screen options. Advanced functions accessed through pull-down display menus. Includes tools for finance. I/O port for communication with other TI products.DETAILS: Middle Grade Graphing Calculator The Texas Instruments TI73 graphing calculator is designed for middle-grade students. It has a large screen to help students see patterns and analyze data. It features stacked fractions and data analysis functions that allow students to easily view and edit numeric and alphanumeric data in the list editor. They will be able to plot data ... From the kitchen table to the playground, children are intrigued by their world. The TI-15 is a pedagogically sound tool that helps students make connections between classroom learning and real-world situations.The TI-15 combines the fraction capabilities of the Math Explorer with a two-line display, problem solving, place value and more. When the TI-15 is combined with traditional learning ... The two-line display scientific calculator combines statistics and advanced scientific functions and is a durable and affordable calculator for the classroom. The two-line display helps students explore math and science concepts in the classroom.Color: Pink. Color Class: Pink Helps students develop skills in addition, subtraction, powers, and answer format. Makes connections between classroom learning and real world situations. Backspace and edit capabilities. Operates in well-lighted areas using solar and in other light settings using battery. Color: Blue DETAILS: Includes basic scientific and trigonometric functions to help students explore math and science concepts. Entry line shows up to 11 characters and scrolls left/right up to 88. Result line shows up to a 10-digit answer and 2-digit exponent. Users can preview previous entries to look for patterns. Menus for selecting appropriate settings. Operates with fractions and mixed numbers. ...
DOAJ covers free full text, quality controlled scientific and scholarly journals, aiming to cover all subjects and... see more DOAJ covers free full text, quality controlled scientific and scholarly journals, aiming to cover all subjects and languages.There are journal articles in the following areas:Agriculture and Food Sciences Arts and Architecture Biology and Life Sciences Business and Economics Chemistry Earth and Environmental Sciences General Works Health Sciences History and Archaeology Languages and Literatures Law and Political Science Mathematics and Statistics Philosophy and Religion Physics and Astronomy Science General Social Sciences Technology and Engineering For more information about DOAJ see: This free, online short textbook/course was designed to ״develop a resource for students who may lack confidence in... see more This free, online short textbook/course was designed to ״develop a resource for students who may lack confidence in mathematics and/or computing. Often, resources that are available involve some mathematics, or are statistic descriptions of the use of the software. More recently the role of immersion in learning has become a topic of interest. Based on this and on a consideration of the research on statistics learning, we have designed a series of interactive tutorials for learning statistics and SPSS. They are presented in this unit as seven separate activities.״ This course covers descriptive statistics, the foundation of statistics, probability and random distributions, and the... see more This course covers descriptive statistics, the foundation of statistics, probability and random distributions, and the relationships between various characteristics of data. This free course may be completed online at any time. See course site for detailed overview and learning outcomes. (Computer Science 106; Mathematics 121; Economics 104; Biology 104) Biographies of mathematicians who were born or died on this day are given. Links to those for the previous and next days, as... see more Biographies of mathematicians who were born or died on this day are given. Links to those for the previous and next days, as well as the entire year are also given. Printable posters of the mathematicians and quotes are given sometimes.
'Taking algebra? Then you need the Wolfram Algebra Course Assistant. This definitive app for algebra--from the world leader... see more 'This app covers the following topics applicable to Algebra I, Algebra II, and College Algebra:- Evaluate any numeric expression or substitute a value for a variable.- Simplify fractions, square roots, or any other expression.- Solve a simple equation or a system of equations for specific variables.- Plot basic, parametric, or polar plots of the function(s) of your choice.- Expand any polynomial.- Factor numeric expressions, polynomials, and symbolic expressions.- Divide any two expressions. - Find the partial fraction decomposition of rational expressions.The Wolfram Al calculus? Then you need the Wolfram Calculus Course Assistant. This definitive app for calculus--from the world... see more 'This app covers the following topics applicable to Calculus, AP Calculus AB, AP Calculus BC, Calculus I, and Calculus II:- Evaluate any numeric expression or substitute a value for a variable.- Plot basic, parametric, or polar plots of the function(s) of your choice.- Determine the limit of a function as it approaches a specific value.- Differentiate any function or implicit function.- Find the critical points and inflection points of a function.- Identify the local and absolute extrema of a function.- Integrate a function, with or without limits.- Sum a function given a lower and upper bound.- Find the closed form of a sequence or generate terms for a specific sequence.'This app costs $3.99 'Taking discrete mathematics? Then you need the Wolfram Discrete Mathematics Course Assistant. This app for discrete... see more 'Taking discrete mathematics? Then you need the Wolfram Discrete Mathematics Course Assistant. This app for discrete math-- -'This app costs $4.99 'Like fractals? Want to know more about them? The Wolfram Fractals Reference App is a handy reference you can take with you... see more '.- Choose from both common fractals and more unusual types- Visualize the Sierpiński gasket, the Koch snowflake, and the Mandelbrot set, as well as over 40 other fractals- Input parameters to customize your fractal type- Learn the rules behind the fractal construction- Explore hundreds of possibilities, including line and shape replacement fractals, space-filling curves, Blancmange function, Mandelbrot and Julia sets, and 3D fractals'This app costs $0.99 'Learning fractions? Then you need the Wolfram Fractions Reference App. Whether adding, subtracting, or converting fractions,... see more 'Learning fractions? Then you need the Wolfram Fractions Reference App. Whether adding, subtracting, or converting fractions, the Wolfram Fractions Reference App will help you with your specific fraction problems. - Visualize fractions on a number line or pie chart - Convert a fraction to a decimal or percent, or vice versa - Get help with arithmetic including addition, subtraction, multiplication, and division - Reduce fractions to their simplest forms'This app costs $0.99 'Taking multivariable calculus? Then you need the Wolfram Multivariable Calculus Course Assistant. This definitive app for... see more 'Taking multivariable calculus? Then you need the Wolfram Multivariable Calculus Course Assistant. This definitive app for multivariable calculus--from the world leader in math software--will help you work through your homework problems, ace your tests, and learn calculus concepts. Forget canned examples! The Wolfram Multivariable Calculus Course Assistant solves your specific multivariable problems on the fly, providing step-by-step guidance for limits, derivatives, integrals, and much more.This app covers the following topics applicable to Multivariable Calculus, Advanced Calculus, and Vector Calculus:- Evaluate any numeric expression, or substitute a value for a variable- Plot 2D or 3D functions of your choice- Determine the limit of a function as it approaches a specific value or values- Differentiate any single or multivariable function- Find the critical points and saddle points of a function- Calculate the gradient of a function- Identify the local extrema of a function- Find the single, double, or triple integral of a function- Determine the dot or cross product of two vectors- Calculate the divergence or curl of a vector fieldStay up to date with the latest version, and see the additions of directional derivatives, line integrals, surface integrals, arc length, and curvature!'This app costs $4.99 'Taking pre-algebra? Then you need the Wolfram Pre-Algebra Course Assistant. This definitive app for pre-algebra--from the... see more 'Taking pre-algebra? Then you need the Wolfram Pre-Algebra Course Assistant. This definitive app for pre-algebra--from the world leader in math software--will help you work through your homework problems, ace your tests, and learn pre-algebra concepts. Forget canned examples! The Wolfram Pre-Algebra Course Assistant solves your specific pre-algebra problems on the fly.This app covers the following pre-algebra topics:- Find the divisors and prime factorization of a number- Calculate the GCD and LCM of two numbers- Determine the percent change- Reduce and round numbers- Evaluate expressions- Solve equations and simplify expressions- Convert units of length, area, volume, and weight- Compute the mean, median, and mode of a dataset- Plot equations on the coordinate plane- Graph inequalities on a number line- Calculate the area, surface area, or volume of a geometric figure- Find the midpoint, slope, and distance between two pointsThe Wolfram Pre-Al precalculus? Then you need the Wolfram Precalculus Course Assistant. This definitive app for precalculus--from the... see more 'Taking precalculus? Then you need the Wolfram Precalculus Course Assistant. This definitive app for precalculus--from the world leader in math software--This app covers the following topics applicable to precalculus and trigonometry:- Evaluate any numeric expression or substitute a value for a variable- Solve a single equation or a system of equations- Plot functions on the x-y plane or draw a parametric or polar plot- Determine the sine, cosine, and tangent of a specific angle in a right triangle- Simplify, expand, or factor trigonometric functions- Find the partial fraction decomposition of an expression- Calculate the dot product, cross product, and magnitude of two vectors- Identify the mean, median, mode, and standard deviation of a set of data- Calculate permutations and combinationsThe Wolfram Precalculus Course Assistant is powered by the Wolfram\|Alpha computational knowledge engine and is created by Wolfram Research, makers of Mathematica—the world's leading software system for mathematical research and education.'This app costs $1.99
Introduction to Analytic Number Theory 9780387901633 ISBN: 0387901639 Pub Date: 1976 Publisher: Springer Verlag Summary: This introductory textbook is designed to teach undergraduates the basic ideas and techniques of number theory, with special consideration to the principles of analytic number theory. The first five chapters treat elementary concepts such as divisibility, congruence and arithmetical functions. The topics in the next chapters include Dirichlet's theorem on primes in progressions, Gauss sums, quadratic residues, Dirich...let series, and Euler products with applications to the Riemann zeta function and Dirichlet L-functions. Also included is an introduction to partitions. Among the strong points of the book are its clarity of exposition and a collection of exercises at the end of each chapter. The first ten chapters, with the exception of one section, are accessible to anyone with knowledge of elementary calculus; the last four chapters require some knowledge of complex function theory including complex integration and residue calculus. Apostol, Tom M. is the author of Introduction to Analytic Number Theory, published 1976 under ISBN 9780387901633 and 0387901639. Eight hundred seventy seven Introduction to Analytic Number Theory textbooks are available for sale on ValoreBooks.com, two hundred eleven used from the cheapest price of $29.46, or buy new starting at $59.70.[read more
Metadata This module is from Fundamentals of Mathematics by Denny Burzynski and Wade Ellis, Jr. This module discusses complex fractions. By the end of the module students should be able to distinguish between simple and complex fractions and convert a complex fraction to a simple fraction.
Arithmetic the Easy Way - 4th edition Summary: Everybody uses arithmetic on virtually a daily basis, and this book serves as a handy brush-up for general readers while it also helps students master basic skills that they need before moving up to high-school-level math and beyond. It reviews addition, subtraction, multiplication, and division, then moves on to calculating with fractions, decimals, and percentages. A concluding chapter reviews units of measurement and word problems. Chapters are filled with short p...show moreractice exercises, all of which are answered at the back of the book. The book features many tables, charts, and line illustrations. Barron's Easy Way books focus on both practical and academic topics, presenting fundamental subject matter in clear, understandable language. Equally popular as self-teaching manuals and supplementary texts for classroom use, they are written to help students improve their grades and review subject matter before tests. They are also useful for introducing general readers to a new career-related skill. Easy Way titles cover virtually all subjects that are taught on advanced high school and college-101 levels. New subjects are periodically added, and existing titles are frequently updated to keep them timely and relevant to students' needs. Subject heads and key phrases are set in a second color. ...show lessJaros Elverta, CA PAPERBACK Good 0764129139 Good condition, cover has some wear
Introductory Algebra-Text - 8th edition Summary: Lial/Hornsby/McGinnis's Introductory Algebra, 8e, gives students the necessary tools to succeed in developmental math courses and prepares them for future math courses and the rest of their lives. The Lial developmental team creates a pattern for success by emphasizing problem-solving skills, vocabulary comprehension, real-world applications, and strong exercise sets. In keeping with its proven track record, this revision includesan effective new design, many new exe...show morercises and applications, and increased Summary Exercises to enhance comprehension and challenge students' knowledge of the subject matter. ...show lessSorry, CD missing. Former Library book. May have slight wear, may contain some highlighting or writing-we try to only select the highest quality
2012. Hardcover. Book Condition: New. 3rd. 213mm x 38mm x 274mm. Hardcover. Normal 0 false false false The Rockswold/Krieger algebra series fosters conceptual understanding by using relevant applications and visualization to show students why math matters. It answ.Shipping may be from multiple locations in the US or from the UK, depending on stock availability. 2.037. Bookseller Inventory # 9780321729446
Creative Geometry is a set of web pages designed by a geometry teacher and written for both geometry teachers and geometry... see more Creative Geometry is a set of web pages designed by a geometry teacher and written for both geometry teachers and geometry students. In these web pages, teachers and students will find creative and interesting "hands-on" projects for most topics in the geometry curriculum. Each project is designed to help students understand, remember, and find value in the concepts of geometry. A collection of puzzles whose answers involve the Fibonacci numbers. The puzzles are of two types: easier and harder; the... see more A collection of puzzles whose answers involve the Fibonacci numbers. The puzzles are of two types: easier and harder; the goal is to explain WHY the puzzles have their respective answers. A link to the page containing the harder puzzles is provided. This site is a sub-page of the larger site, Fibonacci Numbers and the Golden Section. This site provides a comprehensive record of M.C. Escher's life, including links to approximately twenty images of his works... see more This site provides a comprehensive record of M.C. Escher's life, including links to approximately twenty images of his works of art as well as to a number of additional resources. Excellent presentation. This site contains reference material in Matrix Algebra. Topics covered include matrix operations, linear equations,... see more This site contains reference material in Matrix Algebra. Topics covered include matrix operations, linear equations, determinants, eigenvectors and eigenvalues. S.O.S. Mathematics--Matrix Algebra is a part of an independent, commercial site that offers straightforward technical assistance primarily to high school and college students. This site can be used equally well for demonstration materials in lectures and for tutorial purposes. Topics range from basic... see more This site can be used equally well for demonstration materials in lectures and for tutorial purposes. Topics range from basic algebra through first-year calculus. Solved exercises throughout make the site especially appropriate for individual study. Interactive elements are added using LiveMath and Macromedia Flash. This is a complete set of videos for my on-line differential equations class. All standard topics are addressed: modeling,... see more This is a complete set of videos for my on-line differential equations class. All standard topics are addressed: modeling, first order equations, constant coefficient linear equations, Euler and Runge Kutta methods, Laplace transforms, partial differential equations, series solutions and first order systems. The videos on this site will help you understand how the basic area formulas for rectangles, parallelograms, triangles,... see more The videos on this site will help you understand how the basic area formulas for rectangles, parallelograms, triangles, trapezoids, and circles are developed and hopefully give you a better understanding of the formulas.
More About This Textbook Overview Form is related to function. An airplane wing has the form it does because of its lifting function. The pillars of the Parthenon and the girders of a skyscraper are shaped to the purpose of supporting their massive structures. Similarly, the form of an algebraic expression or equation reflects its function. Algebra: Form and Function Preliminary Edition introduces each function—linear, power, quadratic, exponential, polynomial—and presents a study of the basic form of expressions for that function. Readers are encouraged to examine the basic forms, see how they are constructed, and consider the role of each component. Throughout the text, there are Tools sections placed at the ends of chapters to help readers acquire the skills they need to perform basic algebraic manipulations
Below are all the competencies and job programs that contain the class Concepts of Calculus 310. Job programs are our traditional class lists organized according to common job functions. Competencies are our latest job-specific curricula that help tie online learning to practical, hands-on tasks. A function that can be compared to a bridge that connects a road on both sides. Just as a bridge allows you to drive along the road with no interruptions, obstacles, or detours, a continuous function allows you to draw a line or a curve without lifting your pencil.
Arithmatic describes all math in general, while Alegebra is a certain type or branch of math. In other words: Algebra IS arithmatic, but so is geometry, adding, subtracting, multiplication, division, calculus, etc... Basically, their difference is that arithmetic or also arithmetic's is the branch of mathematics used by almost everyone in the day-to-day counting, while Algebra is the branch of mathematics relating to the study of the rules of operations and relations.
Skillbuilder (Textbook) CD. Note that these CD's generally accompany each new copy of the text, when purchased by the student. Copies are available for checkout in the MRC.These CD's are a nice resource. For each topic in the text, the student can choose to use a short video lesson on the topic, with a few examples worked (not a complete lesson). a set of skill-building exercises (about 20 per section) with feedback on answers, and solutions worked out step by step. Very nice. a section quiz, about 20 problems, also with feedback on answers. There are also some online quizzes, if one wanted to access them. DVD lessons. Each DVD covers a chapter or more from the text. The student needs to check out the appropriate disk (based on chapter desired) from the front desk. Inserting the DVD will cause the program to start. These DVD's cover a few selected examples from each section in the text, in a live-lecture format. Nicely done, for what is covered, but this isn't really a complete lecture for any given topic. If someone misses class, this would be a nice starting point to catch up, but not a substitute for a complete discussion. The video tapes cover "Sines and Cosines" (three volumes on trig), and there is also one on similarity and on on Pythaegorus. Graphing Calculator Video Tapes. About an hour-long video on using the TI 83 graphing calculator. (We also have one for the TI 89). We also have a written instructional manual, and many copies of the manuals that come with the TI 83 (which the students can have for free). Last updated: March 29, 2010 E-mail Us Please contact us using this form, or you can use this e-mail address: awhitten October 3, 2012
"...The fundamental questions in analytic number theory, and the ones which we focus on in this course, concern the interplay between the additive and multiplicative structures on the integers. Specifically, it is quite natural to ask questions of an additive nature about constructions which are intrinsically multiplicative..." Examples of "Analytic Number Theory" Course Chapters include "...Dirichlet series and arithmetic functions; Primes in arithmetic progressions; The functional equation for the Riemann zeta function; von Mangoldt's formula; Revisiting the sieve of Eratosthenes; The Selberg sieve; Introduction to large sieve inequalities; The Bombieri-Vinogradov theorem (proof); etc..." "...is a tool for sophisticated computations in number fields, in global function fields, and in local fields...." KANT/KASH: Computational Algebraic Number Theory includes Calculations for "...Computations in number fields; Ideals in number fields; Relative extensions of number fields; Computations in class field theory; Galois groups; Lattices; Diophantine equations; Algebraic function fields over finite fields, Q or number fields; etc..." "...can be used to study a general and advanced, pure and applied mathematics. This includes a huge range of mathematics, including algebra, calculus, elementary to very advanced number theory, cryptography, numerical computation, commutative algebra, group theory, combinatorics, graph theory, and exact linear algebra..." "...is the art and science of allocating scarce resources to the best possible effect. Optimization techniques are called into play every day in questions of industrial planning, resource allocation, scheduling, decision-making, etc..." Examples of "Practical Optimization: A Gentle Introduction" Course Chapters include "...A traveling salesman has to travel through a bunch of cities, in such a way that the expenses on traveling are minimized. This is the infamous Traveling Salesman Problem...It belongs to a family of problems, called NP-complete problem..." "...is one of the most important random processes in probability theory. It is widely used to model random "points" in time and space, such as the times of radioactive emissions, the arrival times of customers at a service center, and the positions of flaws in a piece of material..." "...can be used to find 20- or 30-digit factors of numbers or numerical expressions up to 1000 digits long. It also computes the number and sum of divisors, Euler's totient and Moebius, and its decomposition as a sum of up to 4 perfect squares..." "...factors a formula into its irreducible or prime components... Such a formula may be an integer, a rational number, a polynomial of one variable x, or a rational function (with integer coefficients)..." "...repository of both received wisdom and cutting-edge research! (Or at least that is what we are aiming for!) This wiki is an ongoing project in which we hope the quant community will contribute so as to establish a convenient and free source of definitions, concepts, model specifications, and original research..." "...The values produced by applying the calculators to different products may differ from the current price of those products, due to market conditions. Where an interest rate is specified, the overnight cash rate is used. Inflation expectations are built into this rate..." "...HRRs (Historic Rate Rolls) or HREs (Historical Rate Extensions) are the same thing. If a corporate has a forward contract where the rate on the deal is not at the current market and wants to extend that deal the normal procedure is..." Contract Predelivery Calculator (Pre-Delivery Calculator) "...For pre-delivering FX deals to a date nearer than the current settlement date of the deal. Almost the opposite to an HRE. Again a pre-deilvery is based on the historical rate as opposed to the market rate..." "...This website offers true random numbers to anyone on the internet. The random numbers are generated in real-time in our lab by measuring the quantum fluctuations of the vacuum. The vacuum is described very differently in the quantum mechanical context than in the classical context..." "...an Internet resource that brings genuine random numbers, generated by a process fundamentally governed by the inherent uncertainty in the quantum mechanical laws of nature, directly to your computer in a variety of forms. HotBits are generated by timing successive pairs of radioactive decays detected by a Geiger-Müller tube interfaced to a computer..." "...This form allows you to generate random integers. The randomness comes from atmospheric noise, which for many purposes is better than the pseudo-random number algorithms typically used in computer programs...""...What is Representation Theory?; Representations of a Cyclic Group; Complete Reducibility and Unitarity; Schur's Lemma; Isotypical Decomposition; The Character of a Representation; The Regular Representation; Integrality in the Group Algebra; The Unitary Group; etc..." "...Representation, Maschke's theorem and semisimplicity; The structure of algebras for which every module is semisimple; The construction of modules and characters; Pro jective modules for group algebras; Changing the ground ring: splitting fields and the decomposition map; Changing the ground ring: splitting fields and the decomposition map; Brauer characters; Indecomposable modules; etc..." "...By comparing several singing dunes and two controlled experiments, one in the laboratory and one in the field, we here demonstrate that the frequency of the sound is the frequency of the relative motion of the sand grains. The sound is produced because some moving grains synchronize their motions..." "...we present the first practical method for importance sampling functions represented as spherical harmonics (SH). Given a spherical probability density function (PDF) represented as a vector of SH coefficients, our method warps an input point set to match the target PDF using hierarchical sample warping..." "...the SH [Spherical Harmonics] data transformation has been allowing incredible images to be produced in a fraction of the time and with massive data sets – that only a few years ago seemed impossible. We explain SH and the amazing way Weta Digital in particular is pushing their use in production rendering..." "...displays the wave functions associated with a particle confined to the surface of a sphere. These wave functions are also the solutions for a rigidly rotating diatomic molecule. They are also the angular parts of the hydrogen atom wave functions..." "...This text is careful to address the interests and back ground not only of physicists, but of sophisticated students and researchers in mathematics, biology, engineering, computer science, and the social sciences...." Examples of "Statistical Mechanics: Entropy, Order Parameters, and Complexity" Textbook Chapters include "...This online, numeric & symbolic calculator and solver enables you to define variables and functions as well as to evaluate expressions containing numbers in any number system from 2 (binary) over 8 (octal), 10 (decimal) and 16 (hexadecimal) to 36, roman numerals, complex numbers, intervals, variables, matrices, function calls,...."Immersions and Embeddings. Proof of the embeddibility of comapct manifolds in Euclidean space; Definition of differential structures and smooth mappings between manifolds; Proofs of the inverse function theorem and the rank theorem; Proof of Whitney's 2n+1 embedding theorem; Various definitions of orientability and the proof of their equivalence. Proof of the nonorientability of the Mobius strip and the nonembeddability of the real projective plane in R3. Proof that RPn is oreintable for n odd and is not orientable for n even; Definition of a Riemannian metric, and examples of Riemannian manifolds, including quotients of isometry groups and the hyperbolic space. The notion of distance on a Riemannian manifold and proof of the equivalence of the metric topology of a Riemannian manifold with its original topology; Riemannian connections, brackets, proof of the fundamental theorem of Riemannian geometry, induced connection on Riemannian submanifolds, reparameterizations and speed of geodesics, geodesics of the Poincare's upper half plane; Exponential map and geodesic flow; etc..." "...The main emphasis is on the geometry of symplectic manifolds, but the material also includes long digressions into complex geometry and the geometry of 4-manifolds, with special emphasis on topological considerations..." Examples from over "22" "Geometry of Manifolds" Course Lectures include "...a computer algebra package for performing calculations in the general area of differential geometry. Its purpose is the calculation of tensor components on curved spacetimes specified in terms of a metric or set of basis vectors..." "...calculates physical properties at relativistic speeds. You input the speed of the object, its mass, length, and clock time, and the calculator will automatically calculate what the object will look like to you..."
This lesson from Illuminations has students study equivalence and systems of equations while identifying and using related functions. It includes an interactive applet that can be used in class. Discussion questions are... This lesson from Illuminations asks students to solve a system of linear equations using a practical math problem. The lesson involves question for students; participants are asked to give a short presentation to the... This lesson from illuminations helps to illustrate quadratic equations. Students will determine the maximum value of a quadratic equation and compare different equations. The lesson also asks students to move between... This algebra unit from Illuminations includes three lessons which highlight Pick's Theorem. Students will be introduced to the theorem, determine the coefficients of the equation, and explore the concept of rates of... This geometry lesson from Illuminations uses the model of the orbits of Mars and Earth relative to the sun to illustrate parametric equations. As an interdisciplinary learning activity, the material may be used in...
CSEC - Mathematics - 685 - tabs Please click on link below to view recent syllabus amendments Maths 7585 reads Examples of Responses to Questions in the 2011 Ex open exemplar file The guiding principles of the Mathematics Syllabus direct that Mathematics as taught in Caribbean schools should be relevant to the existing and anticipated needs of Caribbean society, related to the abilities and interests of Caribbean students and aligned with the philosophy of the educational system. These principles focus attention on the use of Mathematics as a problem solving tool, as well as on some of the fundamental concepts which help to unify Mathematics as a body of knowledge. The syllabus explains general and unifying concepts that facilitate the study of Mathematics as a coherent subject rather than as a set of unrelated topics. Every citizen needs basic computational skills (addition, subtraction, multiplication and division) and the ability to use these mentally to solve everyday problems. All citizens should recognize the importance of accuracy in computation as the foundation for deductions and decisions based on the results. In addition, the citizen should have, where possible, a choice of mathematical techniques to be applied in a variety of situations. A 'range of mathematical techniques' is therefore, specified in recognition of the need to accommodate different levels of ability. Citizens need to use Mathematics in many forms of decision-making: shopping, paying bills, budgeting and for the achievement of personal goals: critically evaluating advertisements, taxation, investing, commercial activities, banking, working with and using current technologies, measurements and understanding data in the media. Improving efficiency and skills in these matters will be beneficial to the community as well as to the individual. The syllabus seeks to provide for the needs of specific mathematical techniques in the future careers of students, for example, in agriculture and in commercial and technical fields. By the end of the normal secondary school course, students should appreciate that the various branches of Mathematics are not rigidly segregated and that the approach to the solution of any problem is not necessarily unique.
College Algebra Essentials -With CD - 3rd edition Summary: Chapter P. Prerequisites: Fundamental Concepts of Algebra.P.1 Algebraic Expressions, Mathematical Models, and Real Numbers1. Evaluate algebraic expressions.2. Use mathematical models.3. Find the intersection of two sets.4. Find the union of two sets.5. Recognize subsets of the real numbers.6. Use inequality symbols.7. Evaluate absolute value.8. Use absolute value to express distance.9. Identify properties of the real numbers.10. Simplify algebraic expressions.P.2 Exponents and Scient...show moreific Notation1. Use the product rule.2. Use the quotient rule.3. Use the zero-exponent rule.4. Use the negative-exponent rule.5. Use the power rule.6. Find the power of a product.7. Find the power of a quotient.8. Simplify exponential expressions.9. Use scientific notation.P.3 Radicals and Rational Exponents1. Evaluate square roots.2. Simplify expressions of the form ?a23. Use the product rule to simplify square roots.4. Use the quotient rule to simplify square roots.5. Add and subtract square roots.6. Rationalize denominators.7. Evaluate and perform operations with higher roots.8. Understand and use rational exponents.P.4 Polynomials1. Understand the vocabulary of polynomials.2. Add and subtract polynomials.3. Multiply polynomials.4. Use FOIL in polynomial multiplication.5. Use special products in polynomial multiplication.6. Perform operations with polynomials in several variables.Mid-Chapter Check PointP.5 Factoring Polynomials1. Factor out the greatest common factor of a polynomial.2. Factor by grouping.3. Factor trinomials.4. Factor the difference of squares.5. Factor perfect square trinomials.6. Factor the sum or difference of two cubes.7. Use a general strategy for factoring polynomials.8. Factor algebraic expressions containing fractional and negative exponents.P.6 Rational Expressions1. Specify numbers that must be excluded from the domain of rational expressions.2. Simplify rational expressions.3. Multiply rational expressions.4. Divide rational expressions.5. Add and subtract ...show less Bob Blitzer is a native of Manhattan and received a Bachelor of Arts degree with dual majors in mathematics and psychology (minor: English literature) from the City College of New York. His unusual combination of academic interests led him toward a Master of Arts in mathematics from the University of Miami and a doctorate in behavioral sciences from Nova University. Bob is most energized by teaching mathematics and has taught a variety of mathematics courses at Miami-Dade College for nearly 30 years. He has received numerous teaching awards, including Innovator of the Year from the League for Innovations in the Community College, and was among the first group of recipients at Miami-Dade College for an endowed chair based on excellence in the classroom. Bob has written Intermediate Algebra for College Students, Introductory Algebra for College Students, Essentials of Intermediate Algebra for College Students, Introductory and Intermediate Algebra for College Students, Essentials of Introductory and Intermediate Algebra for College Students, Algebra for College Students, Thinking Mathematically, College Algebra, Algebra and Trigonometry, and Precalculus, all published by Pearson Prentice Hall00 +$3.99 s/h VeryGood BetterWorld - Textbooks Mishawaka, IN Shipped by Better World Books. With CD! Great condition for a used book! Minimal wear. 100% Money Back Guarantee. Shipped to over one million happy customers. For California residents, the list price ...show moreincludes applicable sales tax2009 Hardcover Good Books have varying amounts of wear and highlighting. CDs are included. Usually ships within 24 hours in quality packaging. Satisfaction guaranteed. This item may not include any...show more CDs, Infotracs, Access cards or other supplementary material. ...show less $7.35 +$3.99 s/h VeryGood Quality School Texts OH Coshocton, OH 2009-01-07 Hardcover Very Good Names on inside cover and numbers on bookedge; no other internal marking/highlighting. $8.60 +$3.99 s/h Good SellBackYourBook Aurora, IL 0321577817
Featured: A Real Learning Curve: Catapults Demonstrate the Quadratic Equation Algebra students use their math skills to control the arc of launched objects. By Lisa Morehouse Algebra students use their math skills to control the arc of launched objects. Launch Lessons: Ninth-grade algebra students Dontae and Gerry built catapults to test the quadratic equation in real life. Credit: Courtesy of John Dahle When I heard my friend and former colleague Emmanuel Medina's Algebra I students had built catapults to test their knowledge of quadratic equations and are planning to demonstrate their handiwork, I had to see it for myself. So, on a mild spring evening, I make my way to Hayward, California, to stand on the darkened field of the Impact Academy of Arts and Technology, a small, brand-new charter high school where Medina's students are ready to exhibit their creations. I'm treated to a beautiful sight: The night sky is lit up with streaking arcs -- parabolas, to the math initiated -- as the freshmen shoot glow sticks from their catapults. But even more beautiful is the sight of students deeply engaged in learning -- and teaching. "Parabolas Are Everywhere" Before the catapult launch, the students start the evening by sharing their work with and explaining quadratic equations and parabolas to more than 200 parents and community members. One team -- Brianna, Steven, and Cody -- describe the catapult project to me. Steven describes himself as a once-struggling math student, but he points to the hands-on work as an inspiration. "I wrote down quadratic equations before we built the catapult, but until I built and launched it, I didn't really understand," he says. Brianna chimes in, "Parabolas are everywhere -- in science, technology, and when you shoot a catapult." She then patiently tries to sweep the cobwebs from the math corners of my brain. "When you launch an object out of a catapult, it follows a parabolic path," she explains. Medina started this project like an old-fashioned math instructor, teaching quadratic equations and parabolas from the California state standards through examples and practice questions. Knowing that this and related subjects make up about a quarter of the math content on California's standardized assessments, Medina used released test questions in this first phase. Then he introduced the catapult idea by connecting it to other disciplines, thereby piquing his students' interest. "Back in the day, the purpose of studying the quadratic equation was to study the effective use of weaponry," he tells me. "People used catapults up until World War I -- which the kids were studying in their history class -- when it was a tool for trench warfare." Medina told students they'd be designing and building their own catapults but deliberately gave them few directions. "I knew if they were left to their own devices, they'd surprise me with great designs," he explains. He simply instructed them to find images online by searching for the words catapult, trebuchet, and design. Student teams then decided on the layouts for their catapults, got Medina's approval, and made blueprints with a list of needed materials. Using $300 in school funds, Medina purchased the materials (mostly PVC pipe, 2 x 4s, plywood, and screws) and borrowed power tools (for which students received safety training). Students used their blueprints to measure out their designs on the materials, and Medina cut the wood for each group using a circular saw. "Textbooks Are Great, But . . ." The students performed the initial tests of their catapults by launching solid Styrofoam eggs, then collected the data. Medina explained to them that they needed to record two pieces of information to find the equation of the parabolas their eggs traced: hang time (the amount of time it was in the air) and distance traveled. Brianna describes how they followed Medina's instructions to then find the vertex, or highest point, of each parabolic flight. First, she explains, they timed their egg's flight and divided the time by two to find when the object was at the vertex. Then, by measuring the distance the egg traveled along the x-axis -- from the catapult-launch site to the landing spot -- and dividing that distance in half, they identified where the vertex occurred. Medina taught the students how to use that information to figure the height of the vertex, which allowed them to graph the exact path of the projectile. They could then experiment with controlling where their eggs landed. "If you know where the egg is going, you can plan to hit targets at a variety of heights and distances based on that one equation," Medina says. Students got so adept at finding this information that they were able to launch their eggs into garbage cans placed at various distances. Meanwhile, to keep students developing their on-paper math skills, Medina gave them related word problems to work on in class. Using the results of the tests, the students worked to improve their catapults. "We started out with basic weights," Cody says, describing one of his group's posttest innovations. "The catapult was working, but I thought, 'What about tension?'" The group removed the weights they were using and replaced them with bungee cords, which gave their launches more distance, height, and hang time. Cody says students learned the most about parabolas during this process of perfecting their catapults. "Textbooks are great, but they don't give you the visual," he adds. "You have to go through a process of how parabolas are created, take the data, plug it into a quadratic equation, and analyze it." Ho Nguyen, a mathematics-curriculum specialist for the nearby West Contra Costa Unified School District, who came to the exhibition, believes that the project has allowed students to gain insight into the quadratic equation. "I think this is a great way to motivate students," he says. "Since it is a fun project, it becomes relevant to them, which makes the teaching and learning much, much easier." "Making That Perfect Parabola" As night falls on the evening of the exhibition, the crowd walks up a small hill to the school's field, where thirteen of the most consistent catapults sit at the ready. When Medina calls out, "Okay, set it up. Let's fire!" students attach thick glow sticks to their catapults' arms, ready to launch them at targets marked by glowing hula hoops on the field. Cody and Steven hook up bungee cords, launch their glow stick, and watch the bright light fly 40 feet high in a parabolic arc, prompting giggles from little brothers and sisters who run across the field, gathering the launched sticks and the targets. Afterward, the students talk about their sense of satisfaction at creating something and about what they have learned in the process. "I'm proud to say, 'Hey, I built that!'" says Brianna. "It took multiple steps. It fell apart a couple of times. We misplaced some of our materials. But the end result is, it launches." "Creating a catapult was not only fun, it was the best learning experience I've ever had," adds Cody. "With a textbook, it's in one ear and out the other. But with the catapult, because it's hands-on, it has stuck with me. It was the process -- playing with it, trying to get to the goal, to make that perfect parabola." Lisa Morehouse, a former teacher, is now a public-radio journalist and an education consultantMy son did a very homemade catapult for his science fair project. He's in 5th grade. He used a rat trap for the spring mechanism, attached a piece of wood to the arm of the trap, and screwed a plunger head on to the wood. Obviously the results are limited to the scope of the project, but it was fun, age appropriate, and a successful catapult. I taught middle school students for aprox 5 years before moving up to the high school level. They are more than capable of using power tools with the proper training! Simple power tools like jig saws, drills and screw guns are basic tools everyone should know how to use :) Middle school is a great place to learn how to operate these. Find a Boy Scouts of America Webelos Handbook. Instructions for building a catapult out of a shoebox, plastic spoon, two pencils and two rubberbands are in the Engineering section. Works great with marshmallows ... although I suppose if handled incorrectly you could put an eye out with one, so don't say the idea came from me! I feel your pain. There are plenty of good things launched into the air... You could launch food and supplies to an island in class to rescue action figures. I hope you keep up the fight with your administrators. Learning is a lot of fun for kids and adults when we have freedom to explore. There were minor injuries in class, but please tell your administrator that our test scores were not. Impact was a first year school and we out-performed every large school in the city in algebra. Good luck to you. If you ever decide that you need more space that what you currently have, give me a holler.
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An easy-to-read self-study guide through the wonderful world of modern algebra. Excellent chapters on Z[sqrt(2)], and Q[sqrt(2)]. Symmetries, groups, tiling patterns, the 17 plane groups, fields. A whole chapter on error correcting codes. Written in the same friendly style as V. Bryant's "Aspects of Combinatorics" and R.P Burn's "A Pathway into Number Theory." Each section has many practical, insightful examples and a good problem set. The forward describes this book as a "trip to the modern algebra zoo", and it's a fit description. It shows many of the oddities that typical math courses don't touch at the high school or junior college level courses, and makes them available to the high school or junior college student who loves math. I wouldn't go so far as to say it's a modern tabloid of math, but it's close.
College Algebra and Trigonometry - 6th edition Summary: Accessible to students and flexible for instructors, College Algebra and Trigonometry, Sixth Edition, uses the dynamic link between concepts and applications to bring mathematics to life. By incorporating interactive learning techniques, the Aufmann team helps students to better understand concepts, work independently, and obtain greater mathematical fluency. The text also includes technology features to accommodate courses that allow the option of using graphing calcul...show moreators. Additional program components that support student success include Eduspace tutorial practice, online homework, SMARTHINKING Live Online Tutoring, and Instructional DVDs. The authors' proven Aufmann Interactive Method allows students to try a skill as it is presented in example form. This interaction between the examples and Try Exercises serves as a checkpoint to students as they read the textbook, do their homework, or study a section. In the Sixth Edition, Review Notes are featured more prominently throughout the text to help students recognize the key prerequisite skills needed to understand new concepts. Updated! End-of-chapter exercises--Assessing Concepts--have been revised to include more question types including fill-in-the-blank, multiple choice, and matching. Revised! Prepare for This Section exercises, formerly Prepare for the Next Section, have been moved from the end of each chapter to the beginning of each chapter and afford students the opportunity to test their understanding of prerequisite skills about to be covered. New! Calculus Connection icons have been added to indicate topics that will be revisited in subsequent courses, laying the groundwork for further study. Applications require students to use problem-solving strategies and new skills to solve practical problems. Covering topics from many disciplines, including agriculture, business, chemistry, education, and sociology, these problems demonstrate to students the practicality and value of algebra. Noted by a pie chart icon, Real Data examples and exercises require students to analyze and construct mathematical models from actual situations. Appearing throughout the text, Integrating Technology notes offer relevant information about using graphing calculators as an alternative way to solve a problem. Step-by-step instructions allow students to use technology with confidence. Exploring Concepts with Technology, an optional end-of-chapter feature, uses technology (graphing calculators, CAS, etc.) to explore ideas covered in the chapter. These investigations can be used in a variety of ways, such as group projects or extra-credit assignments. Together with Integrating Technology tips, this feature makes the text appropriate for courses that allow the use of graphing calculators. 3.1 The Remainder of Theorem and the Factor Theorem 3.2 Polynomial Functions of Higher Degree 3.3 Zeros of Polynomial Functions 3.4 The Fundamental Theorem of Algebra 3.5 Graphs of Rational Functions and Their Applications 9.1 Systems of Linear Equations in Two Variables 9.2 Systems of Linear Equations in More than Two Variables 9.3 Nonlinear Systems of Equations 9.4 Partial Fractions 9.5 Inequalities in Two Variables and Systems of Inequalities 9.6 Linear Programming
Collection of materials designed to bridge the gap between the way mathematicians typically teach vector calculus and way it... see more Collection of materials designed to bridge the gap between the way mathematicians typically teach vector calculus and way it is used by other scientists and engineers.(These materials are not technology-based.)
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More About This Textbook Overview This concise yet comprehensive look at the structure, terminology, and emphases of the Common Core State Standards for Mathematics at the middle school level provides the information teachers need to begin adapting their practices and planning lessons that will promote conceptual understanding, highlight real-world application, and prepare students for more advanced
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18 Theorems of Geometry : For High School Students Overview 18 THEOREMS OF GEOMETRY is the precise book of choice for students preparing for the SAT, GED and the London Exams. Incidentally geometry happens to be a requirement in these and most other public exams today. Therefore we trust that like many who have benefited from tutoring offered by its author, you too will take advantage of the book that he produces. In a few pages you have in your hand the book that guarantees your easy success in the exam that you are preparing for. The book begins by stating each theorem in a concise modern English followed by a mathematical proof and examples drawn from past exam papers. Together with clear diagrams, this approach is sure to engrain the concepts in the students to be able to come up with a solution when challenged with a problem in an exam1450090419 There are no customer reviews available at this time. Would you like to write a review?
Section: Faculty: Credits: Seats: Semester: Meeting Schedule: Description: This course aims at eliminating math phobia for both children and adults. It is based on the premise that mathematics will be both accessible and enjoyable if understanding is derived from experience and strong links are made between that experience and abstract symbolism. Beginning with a consideration of how children learn mathematics, the course will focus on providing children with opportunities to put together their own mathematical understanding. Using concrete materials and hands on experiences, students will become actively involved with problems from a range of mathematical strands (number sense, geometry, measurement, pattern, probability) to illustrate how children can explore mathematics through problem solving and inquiry.
Intermediate Algebra- With Tech Package and MyMathLab - 8th edition Summary: Lial/Hornsby/McGinnis's Intermediate Algebra, 8e, gives students the necessary tools to succeed in developmental math courses and prepares them for future math courses and the rest of their lives. The Lial developmental team creates a pattern for success by emphasizing problem-solving skills, vocabulary comprehension, real-world applications, and strong exercise sets. In keeping with its proven track record, this revision includes an effective new design, many new ex...show moreercises and applications, and increased Summary Exercises to enhance comprehension and challenge students' knowledge of the subject matter
* Your child is taking this Honors Intermediate Algebra math class for high school credit. * Not only do students receive high school credit for the class, the grade they receive for the course goes on their high school transcript and is used when figuring out their high school grade point average (GPA). * Even if the course is repeated at the high school level, this grade still stays on their high school transcript. My Expectations: * Students will respect each other's right to learn. * Students will arrive to class on time and come prepared. Assessment: Students will be assessed on homework, class work, and projects, which will be worth 5% of their grade. Quizzes and tests will be worth 85% of their grade. The District Trimester Summative Assessments will be worth 10% of their grade. All assignments are due the next day. Late work will be accepted. Since Honors Intermediate Algebra is an above grade level course for 7th and 8th grade students and critical for laying the foundation for remaining high school mathematics courses, it is strongly recommended that any student who does not demonstrate proficiency repeat the course. This would be based on common assessment performance (not demonstrating proficiency of 70% or higher on both of the Intermediate Algebra District Trimester Common Assessments) and teacher recommendation based on classroom assessment data. Grading Scale: If you have registered with A-H Connect, you are able to access your child's grades on-line. The grades you see on-line will be current as I update grades daily. A ~ 90-100% B ~ 80-89% C ~ 70-79% D ~ 60-69% F ~ Below 60% Required Materials: * District Workbook $10.00 (OPTIONAL) * Textbook * Pencil and pen * 3-ring binder * Loose leaf graph paper OR Graph paper notebook * Loose leaf notebook paper OR Notebook * Students are encouraged to purchase their own graphing calculator. Anoka High School recommends a TI-84 Plus. * Estimated time to be spent on homework each night = 45 minutes Intermediate Algebra Units * Linear Programming * Functions * Exponential Functions * Situations That Can Be Modeled With Parabolas * Solving Quadratic Equations * Square Root Functions and Radical Expressions * Polynomial and Cubic Functions * Absolute Value Functions * Please feel free to contact me via e-mail or telephone at any time with any questions, concerns, or suggestions.
Saxon Math 8/7 is a balanced, integrated mathematics program for the seventh grade. It emphasizes the concepts and skills necessary for your child's success in upper-level mathematics courses, including scientific notation; statistics and probability; ratios and proportions; simplifying and balancing equations; factoring algebraic expressions; slope-intercept form; graphing linear inequalities; arcs and sectors; and the Pythagorean theorem. Kit includes: Student Textbook with 120 daily lessons, 12 investigations, an illustrated glossary and supplemental practice in a brand new two-color format. Questions & Answers for Saxon Publishing Math 87, Third Edition, Home School Kit in a Retail Box Question I would like to know if the text book is hard back? If anyone can answer please do thanks. asked 3 years, 3 months ago by Anonymous on Math 87, Third Edition, Home School Kit in a Retail Box 0points 0out of0found this question helpful. 3 answers Answers answer 1 It is a soft cover, but very sturdy. answered 1 year, 11 months ago by mrsjsawyer San Antonio, TX 0points 0out of0found this answer helpful. answer 2 All of the books in the homeschool boxed kit are paperback. The only ones that are not paper are the individual school books you purchase for the school system. None of the homeschool materials are hard cover.
More About This Textbook Overview Employing a practical, "learn by doing" approach, this first-rate text fosters the development of the skills beyond the pure mathematics needed to set up and manipulate mathematical models. The author draws on a diversity of fields — including science, engineering, and operations research — to provide over 100 reality-based examples. Students learn from the examples by applying mathematical methods to formulate, analyze, and criticize models. Extensive documentation, consisting of over 150 references, supplements the models, encouraging further research on models of particular interest. The lively and accessible text requires only minimal scientific background. Designed for senior college or beginning graduate-level students, it assumes only elementary calculus and basic probability theory for the first part, and ordinary differential equations and continuous probability for the second section. All problems require students to study and create models, encouraging their active participation rather than a mechanical approach. Beyond the classroom, this volume will prove interesting and rewarding to anyone concerned with the development of mathematical models or the application of modeling to problem solving in a wide array of
Student Solutions Manual for Elementary Algebra: Concepts and Applications When the answer at the back of the book is simply not enough, then you need the Student Solutions Manual. With fully worked-out solutions to all odd-numbered text problems, the Student Solutions Manual lets you "learn by example" and see the mathematical steps required to reach a solution. Worked-out problems included in the Solutions Manual are carefully selected from the textbook as representative of each section's exercise sets so you can follow-along and study more effectively. The Student Solutions Manual is simply the fastest way to see your mistakes, improve learning, and get better grades
MERLOT Search - category=2535&sort.property=overallRating A search of MERLOT materialsCopyright 1997-2014 MERLOT. All rights reserved.Tue, 11 Mar 2014 00:20:57 PDTTue, 11 Mar 2014 00:20:57 PDTMERLOT Search - category=2535&sort.property=overallRating 4434Algebra2go: An Online Supplemental Instruction Tool Array Algebra2go is a free unrestricted collection of pre-algebra and algebra related study materials designed to address the affective dimensions of student learning.National Library of Virtual Manipulatives Large collection of platform independent, interactive, java applets and activities for K-12 mathematics and teacher education.Exponent Rules This site generates problems that test students' understanding of exponent rules. Hints and feedback are availableMiss Lindquist: The Tutor This is an interactive website which tutors students in algebra. It is very sophisticated and is based on the NCTM standards. It provides materials for students, teachers, and researchers.Self-Assess Algebra ReviewKhan Academy: Why We Aren't Using the Multiplication Sign The subject matter of this learning object is Algebra. In particular, it explains the various ways of writing multiplication and provides examples of the use of some multiplication symbols. It is targeted to the audience of learners that are transitioning from basic arithmetic to beginning algebra. The learning object is a video explaining the related concepts. System of Equations ״A System of Linear Equations" graphs the equations of a 2 x 2 system of linear equations, illustrates the geometric interpretation of the system, identifies the type of solution, and finds the solution when applicableMathway Mathway is a mathematics problem solving tool where students can select their math course - Basic Math, Pre-Algebra, Algebra, Trigonometry, PreCalculus, Calculus or Statistics and enter a problem. The computer solves the problem and shows the steps for the solution. It also has a worksheet generator.Comparing Fractions This applet presents a variety of visual fraction comparison exercises. It is part of the National Library of Virtual Manipulatives.Fraction Addition Memory Game A fraction-operations variation on the game "Concentration״.
by McGraw-Hill since its first edition in 1941, this classic text is an introduction to Fourier series and their applications to boundary value problems in partial differential equations of engineering and physics. It will primarily be used by students with a background in ordinary differential equations and advanced calculus. There are two main objectives of this text. The first is to introduce the concept of orthogonal sets of functions and representations of arbitrary functions in series of functions from such sets. The second is a clear presentation of the classical method of separation of variables used in solving boundary value problems with the aid of those representations. The book is a thorough revision of the seventh edition and much care is taken to give the student fewer distractions when determining solutions of eigenvalue problems, and other topics have been presented in their own sections like Gibbs' Phenomenon and the Poisson integral formula.
Mastering Essential Math Skills This exercise book is an excellent resource to practice and review math skills you´ll need to establish a strong foundation and smooth transition into Algebra and other higher math courses. Workbooks are available for 4th – 5th grade and middle school / high school.
Using this Real World Learning Object, students will use data collected from the Global Sun ? Temperature Telecollaborative project to learn how ?linear functions, quadratic functions and other high-order pol... High school teacher Glenn Elert wrote the original edition of the Chaos Hypertextbook for his M.S. degree in secondary science education at Teachers College, Columbia University. After graduation, Elert put the... A=B, by Petkovsek, Wilf, Zeilberger, is a book about identities, especially identities involving binomial sums and hypergeometric identities, and ways to prove them using computer programs. The entire text may be... These roughly 100 lesson plans are related to mathematics technology and are provided by the non-profit Education Development Center. The lesson plans are designed to help students develop both deep conceptual...
Precalculus Precalculus Precalculus Precalculus, 5th Edition Study Guide with Solutions for Faires/Defranza's Precalculus, 5th Summary Precalculus presents the course as it was intended to be taught, providing students with an integrated review of algebra and trigonometry while focusing on essential calculus concepts. Faires and DeFranza wrote this book because they believe students too often leave a precalculus class unprepared to go on to calculus. Although students who complete a precalculus course generally have had plenty of algebra and trigonometry review, they often lack the grounding in analysis and graphing necessary to make the transition to calculus. Faires and DeFranza's PRECALCULUS concentrates on teaching the essentials of what a student needs to fulfill their precalculus requirement and to fully prepare them to succeed in calculus. This streamlined text provides all the mathematics that students need--it doesn't bog them down in review, or overwhelm them with too much, too soon. And the authors have been careful to keep this book, unlike many of the precalculus books on the market, at a length that can be covered in one term.
Full Search This textbook is written for everyone who has experienced challenges learning Calculus. This book really teaches you, helps you understand and master Calculus through clear and meaningful explanations of all the ideas, concepts, problems and procedures of Calculus, effective problem solving skills and strategies, fully worked problems with complete, step-by-step explanations. Fundamental Math provides a simple and straightforward way to learn how to solve Calculus problems from those attempting Calculus for the first time to those relearning it for a practical application. This works very well for those preparing for college as well.
Math Warehouse - Vernon Morris Interactive programs that allow users to explore math concepts; a set of freely available worksheets for teachers; math store with books, puzzles, and games; and a newsletter. Covers a range of topics including linear equations, systems of equations, ...more>> MathWare Ltd. Software and books for algebra, geometry and calculus: Derive, MathPert, Scientific Notebook, Cyclone; books for use with the TI Graphing Calculators, and a book and CD for Mathematica. Also an Interactive Math Dictionary on CD-ROM with biographical entries, ...more>> Math Worksheets Free worksheets for practicing arithmetic, geometry, pre-algebra, and algebra, accompanied by written explanations and instructional videos. Each worksheet comes with an answer sheet; select from a range of difficulty levels. ...more>> Math Worksheets Center Thousands of teacher-made K-12 math worksheets, lessons, homework assignments, quizzes, and tip sheets. Browse by grade level or student age; each math topic links to an index of the remedial math worksheets that point up the skills needed to get to that ...more>> MathWorld Interactive - Carolynn S. Mortensen Open-ended word problems and some answers from this now-defunct project. MathWorld began as MathMagic FidoNet in 1991, and was dedicated to helping educators and parents motivate their students to solve open-ended word problems, communicate mathematically, ...more>> Mathy McMatherson - Daniel Schneider Blog by a public high school teacher in Tucson, Arizona, who graduated from the University of Arizona Secondary Mathematics Education Program. Posts, which date back to July, 2011, have included "Teaching as Creation," "Fixing Bugs Part 2: Algebra & ...more>> matthen - Matthew Henderson "Things of interest in maths & science" created by a PhD candidate in Statistical Dialogue Systems who majored in mathematics as an undergraduate. Posts date back to March 2011, and routinely feature Henderson's original animated gifs: "Orbits aroundNumber Bender - Peter Esperanza Freely downloadable algebra, pre-calculus, and AP statistics presentations and worksheets by an Ed.D. candidate who has taught in China, the Philippines, and the U.S. ...more>> The Numerist - Shaun Klassen Math tutorial posts by Klassen, who majored in biochemistry and holds a Master of Science degree specializing in medicine. "Explanations of as many math concepts that I can think of" include Finding the Slope of a Line," "Introduction to Functions," "The ...more>> Numm˛lt - Maurici CarbˇOnline Math Tests Home Page - Elias Saab This site has problems that help sutudents get ready for College Alegbra or Calculus. It also has problems in Geometry and Trigonometry. All the problems have complete solutions that are given when one hits the submit button. Tests covered include: MPE-4-10, ...more>> PBS Teachers: Math - PBS Teachers The Public Broadcasting System's Math Service, combining computing and telecommunications technologies to offer interactive data services and interactive video and voice services for education based on the NCTM Standards. The site features: resources, ...more>> Personalized Programming Service Inc. Educational software for teachers and students. Topical software in Math, English, Social Studies, and Science, as well as Quizmaker and Testmaker programs. Download demos and upgrades, browse the products, or order on site. ...more>> Plot Graphs - Philipp Wagner Plot multiple two- or three-dimensional graphs, including of parameterized functions and derivatives, in one and the same graph. Key in equations with the WYSIWYG formula editor. ...more>>
Maple TA is a program which can be used to generate questions and grade responses which are numerical, formulas, words, etc. Multiple choice and matching style questions are also possible. The software can be used for many purposes. Currently at Oklahoma State it is being used to give and grade homework for Math 2144, Calculus I and for Math 2153, Calculus II. It was also tested with a section Math 1613, Trigonometry. No. Maple TA does use part of Maple and is marketed by the makers of Maple. Some questions use Maple for producing portions of the questions and graphs. Maple is also used to grade some questions. Some software produced by other companies is also part of Maple TA. Maple is a computer algebra system, i.e., a program that can solve equations, compute derivatives, etc., by using methods which are similar to those a person might use. It can also do strictly numerical computation. You probably have an assignment for a grade that you have not submitted for grading. In Maple TA you are only permitted to have one assignment in progress at a time. This means one assignment for which you had to give your login and password. You can do other non-recorded assignments such as practice assignments while you have n recorded assignment in progress. You can look at the results of an assignment you have submitted for grading by clicking on the link View my results in this class on the right side of your class home page. There is no way to return to the questions so that you may attempt them again unless your instructor has set the assignment to produce the same set of questions every time. In that case you will get a new copy of the assignment with all answer boxes empty. No. At any time you can click the Quit and Save button at the top of the page. Save your session and logout. The next time you want to work on the assignment choose the same assignment from the list. When you give your login and password you wil be allowed to return to the assignment as you left it. Any answers that you had entered will still be present. What happens if there is some kind of computer crash or power failure while I am working on my assignment? Any work that you have done since the last time you saved will be lost. You should periodically, e.g., every ten minutes, click on Quit and Save and save your work to make sure that you do not lose very much work if there is a problem. It is a good idea to save just before you do the following things: change entry style, report a bug, use another browser window on another site or use another piece of software that heavily uses java (Maple is one.). Any of these could cause the browser to crash. You should contact your instructor and explain what happened. Usually your instructor will disregard the score from this accidental attempt. If the correct assignment is due soon, you cannot reach your instructor, and your instructor has no announced policy, then you should probably send an email to your instructor, grade the incorrect assignment and start the correct one. When you contact your instructor, explain what happened and ask that the grade on the incorrect assignment be disregraded. I can see the assignment in the list but when I click on it nothing happens. Look at the availibility dates for the assignment. If the current date is not within those limits, the assignment cannot be started. The names of available assignments usually appear in a different color than those that are unavailable. Immediately after you grade an assignment there is an opportunity to review your answers and the correct answers. Click on View details. At any time that you do not have an assignment in progress, you can go to Maple TA page for your class and click on View my results in this class. You will see a list of your assignments. Click on any assignment to see your answers and the correct answers. You can click on a question to see only that question or you can see them all by clicking on Show all questions. Some versions of the Firefox browser have this problem. A workaround is to click and drag over the whole assignment. Then print but change the print range setting in the print pop-up window to selection. Does my answer have to be exactly the same as the answer in Maple TA in order to be counted as correct? In general, no. The author of the question must decide how flexible the grading will be. For a numerical problem this might vary from requiring an exact answer to allowing a percentage or absolute error. Also the author may allow arithmetic, i.e., 2^6/3^5 is correct as well as 64/243. For answers which are formulas or mathematical expressions, the answers usually need to be mathematically equivalent. This means that 3x^2-5x+2/3 and 2/3-5x+3x^2 will be graded identically. It also means that 3x^2-5x+0.6667 will not be graded identically. The answer 3(x+1)^2+x-4/3 may also be accepted. Because the grading flexibility can vary it is very important to read the question carefully. Usually if some approximation is allowed, the question will include some information about this. If data has to be approximated, e.g., estimating function values from a graph, an approximation of the answer is also allowed. If the problem says give the exact value, then decimal or other approximations are not allowed. Note 0.5 is exactly 1/2 so either is acceptable most of the time, i.e., the form is not important. However 1/3 and .666667 are not exactly the same so that for a question requiring an exact answer of 1/3, .666667 would be marked incorrect. Important: If you enter a number as a decimal as part of a larger expression, the system may convert and grade your answer using approximate arithmetic. In such cases 3^(1/2) is not treated the same as 3^.5 despite the fact that the two numbers are equal. When exact answers are required always use fractions. At OSU the default in the questions for calculus is always to use the exact value of all constants. The problems here at OSU require you to enter π as Pi. The base for natural logarithms is entered as e. Sometimes you may see exp(1) for e and exp(x) for ex in answers and in the documentation provided with Maple TA. You should always use e for the constant and e^x for the exponential function with base e in your answers. Maple TA provides two basic methods for entering mathematical expressions, text mode and symbol mode. Text mode is similar to the method used by many calculators. Symbol mode uses point and click selections of templates for two dimensional display of exponents, fractions, etc., and display of expressions as you type, i.e., WYSIWYG (What You See Is What You Get). See the detailed explanations below. In text mode mathematical expressions are entered on a single line using explicit symbols for the operations and parentheses and operator precedence to control the order in which the operations are performed. Calculators, spreadsheets, and many programming languages use this or a very similar syntax. Basic operations use familiar symbols, + (addition), - (subtraction). (multiplication), / (division) and ^ (exponentiation). Standard functions can also be entered using their names and parenthesis around the argument, e.g., the value of the cosine of the angle π would entered as cos(pi). Below are some examples. When the entry mode is text the Preview facility allows you to see your answer in traditional two dimensional notation. This does not work for all types of answers but for algebraic expressions like those in the table above it will work. If there is a problem with what you have typed the Preview facility may provide an error message to help you pinpoint the problem. When an algebraic expression for an answer is at all complicated, Maple TA keeps telling me my answers are wrong. When I finally get it right, the mistakes were in placing parentheses. What can I do? Here is a simple method for catching some parentheses problems that I learned from a computer scientist. The idea is to assign a number to each parenthesis. Matching parentheses will get the same number. Here are the rules of the algorithm. The algorithm moves from left to right examining each character. It makes use of an auxiliary number which I will call the counter. Start at the left most character in the expression. Set the counter at 0. If the character is a left parenthesis increase the counter by 1 then assign the counter number to the character. If the character is a right parenthesis, assign the counter number to the character then decrease the counter by 1. If the parentheses match, the first and last numbers should be the same and each number which is assigned should occur an even number of times. Above there are one 1, four 2's, four 3's and four 4's. So there is one more left parenthesis than right. Because matching parentheses have the same assigned number, you can also use this to help find errors in order of operations. The last suggestion did not help me. Maple TA still keeps telling me my answers are wrong. What else can I do? If you are pretty sure that your answer on paper is correct, try to work with small pieces of the answer. You can use Notepad, Wordpad or another editor to hold the pieces while you assemble the answer. (If you happen to have access to Maple, you can use its editor to do something similar.) Here is an example -2x3+3x2 + x cos2(3x4/3) ___________________ 9x5+12x3-1 This expression can be decomposed into smaller pieces. First we can think of this as the quotient of two expressions A and B where A = -2x3+3x2 + x cos2(3x4/3) and B = 9x5+12x3-1 . If we can correctly enter A in text mode as text_A and we can correctly enter B as text_B then we can correctly enter the quotient in text mode as (text_A)/(text_B) . Put Answer = (text_A)/(text_B) into your editor on a separate line. The expression for B is a polynomial so we can determine text_B pretty quickly as text_B = 9x^5+12x^3-1 . Now even though this is not the answer type this into the answer entry box. Next Preview it to make sure that your text produces the right displayed expression. Once you have got the text mode entry for B correct enter text_B = 9x^5+12x^3-1 on a new line in your editor. Expression A is more complex so we will break it into a sum of smaller pieces, AA and AB where AA = -2x3+3x2 and AB = x cos2(3x4/3) . Expression AA in text mode is -2x^3+3x^2. Check that this works by enetring it into the answer entry box and clicking Preview. Once you are satisfied enter text_A = (text_AA) + (text_AB) text_AA = -2x^3+3x^2 into the editor. The text mode for expression AB is x(cos(3x^(4/3))^2. Check it by using the Preview facility. (If you feel that this is too complex you could break AB into smaller expressions such as (text_ABA)(text_ABB)^2 where text_ABA = x and text_ABB = cos(3x^(4/3)). Further decomposition of text_ABB could also be done.) Enter text_AB = x(cos(3x^(4/3))^2 on a separate line of your editor. Your editor should contain something like this: Answer = (text_A)/(text_B) text_B = 9x^5+12x^3-1 text_A = (text_AA) + (text_AB) text_AA = -2x^3+3x^2 text_AB = x(cos(3x^(4/3))^2 Now work from the bottom up to construct the text mode answer. (If your editor supports copy and paste you can do these next steps using that facility.) Now copy and paste ((-2x^3+3x^2) + (x(cos(3x^(4/3))^2))/(9x^5+12x^3-1) into the answer entry box and Preview the answer. If all is well, click How Did I Do? and check the correctness of the answer. Notice that in the procedure exhibited above we have been careful to include parentheses around each smaller expression and when we reassembled the answer those parentheses were kept. The emphasis here was not on getting the shortest answer but a correct answer. You may find that you need to decompose expressions into more or fewer expressions than what was done above. Do what is comfortable and reliable for you. The Preview facility does not catch missing multiplication symbols. If the answer requires Maple syntax and you frequently forget these , you may find it helpful to use Maple itself to check the syntax of your answers. Operator precedence is used to decide the order in which operations are performed whenever there are no parentheses to indicate the order. In elementary algebra operator precedence is used to write polynomials without extra parentheses. For example -2x3+3x2 would need to be written as ((-2)(x^3))+(3(x^2)) to make the order of operations clear without operator precedence. We can omit the parentheses because we know that powers are to be computed before multiplications or additions and that multiplications are to be computed before additions. The minus in front of the 2 (a unary minus) is a further complication. Fortunately the several obvious possibilities ( (-2)(x^3) = -(2(x^3)) = (-1)(2(x^3))) all yield the same result. A complete dscussion of operator precedence is too lengthy for this FAQ, but see the next question for another one of the issues. Why are the textbook and the symbol mode applet using sin-1(x) and tan-1(x) but in text mode we use arcsin(x) and arctan(x)? Mathematical typography evolved from notations used by various authors over the centuries and not by some grand consistent scheme. The result is that there are several notations for some things and some notations which mean different things in different situations. If the situation is not clear the reader (or a computer program) may have to guess what is meant. With some commonly used functions several typographical conventions have evolved that make the situation unclear. Consider the Pythagorean identity as it is commonly written. cos2x + sin2x = 1 To actually compute the left hand side of this identity the operations would be compute the value of cosine of x and compute the value of sine of x, square each of those and add the resulting values together, i.e., (cos(x))^2 + (sin(x))^2. The raised 2's mean to square the results of computing the value of the trigonometric function. Similarly sin5 x would mean to compute the fifth power of sin(x). The above examples seems to indicate that sin-1x should mean that we should compute sin(x) and then raise the result to the -1 power, i.e., (sin(x))-1 = 1/sin(x). However if f is a one-to-one function a commonly used notation for the inverse function for f (the inverse for composition) is f-1. This means that there is another possible interpretation of sin-1x as the inverse function of sine applied to x. This notational conflict is usually resolved by using only positive exponents when the interpretation is to be power and the only negative superscript permitted is -1. The interpretation in the case of -1 is as the inverse function. This works fairly well but is the cause of some confusion and errors. In Maple TA text mode the issue is avoided entirely because a power n of sin(x) must be written as (sin(x))^n and the inverse function is named arcsin. In two dimensional display these unambiguous expressions are replaced by the standard typographical conventions. As a result in displays such as in symbol mode you may see sin-1x. The grading facility does not always replace these trigonometric functions of special values with their algebraic equivalents. You should not be including ln(e) or a trigonometric function of one of the special angles (multiples of π/6 or π/4) in the answers. These should be replaced by the exact values. So try sqrt(2)/2 in place of cos(Pi/4). No. The java applet for symbol mode will accept some text mode entries. For example you can enter x^2 and the exponent template will automatically open up. I entered my answer using symbol mode and it looks exactly like the correct answer. Why is Maple marking it wrong? This could be a bug in the grading of the problem, but there is another possibility. The symbol mode applet makes assumptions about what is being entered and is not only building the display you see but also something like a text mode entry. What actually is used for grading is that text mode entry. Sometimes because of the assumptions the applet made or because of confusion introduced during editing, the text mode entry is not what you intended. It is possible to see the text mode entry by changing the entry style to text mode and revisiting the question. When you return to the question in text mode whatever you entered for the answer in symbol mode will be replaced by the corresponding text mode expression as the applet constructed it. You should carefully inspect the locations of any parentheses. Often what has happened is that the right parenthesis is improperly located. For example you may have wanted -x^2+2x-3 = -(x^2)+2x-3 but what you got was -(x^2+2x-3). Probably you have used symbol mode to enter an answer to Question n, but there is an error in the syntax of what you wrote. Notice that you do not need to quit when you get a system error. Use the back triangle on the system error to return to the assignment. Go to another question that can use symbol mode. (This can be in a practice assignment or the same assignment.) Switch to symbol mode. Now try to go to Question n. What do I do if Maple TA marks my answer wrong, but the answer is correct? The situation is not any different than if a human grader made a mistake grading something or there was an error in the answer key that was being used to grade the paper. Gather the evidence of the error, e.g., a print out of your graded assignment (or the page with the error), and bring the problem to the attention of your instructor. Your instructor can change the grade given by Maple TA. In certain situations you may need to convince your instructor that you entered the correct answer correctly. For example if you used symbol mode to enter the answer there may be some ambiguity about the appearance of the answer. Your instructor will probably respond more positively if you can show him your original print out of the assignment with the steps of the solution of the problem carefully written out. Most problems include a link to a Bug Report facilty. You should click on the link and carefully fill out the form. Be sure to describe the mistake or bug precisely. Note:The Bug Report facility is not online help with the mathematics. Generally there will be no follow-up to you about your report. Your report will be sent to someone who is familiar with the way questions are created and to your instructor. An attempt will be made to recreate the behavior reported by you and if it is determined that there is a bug, a fix will be implemented. The graph for the question did not show or where there should be an expression or a number there is some nonsense with a dollar sign or many parentheses. This is indicates that the server had a problem. If only the graph is missing, someone who is knowledgeable about Maple and web pages may be able to produce the graph for you from the commands embedded in the source for the web page. If the server did not produce the expressions or numbers needed for the question, it is likely that your question cannot be salvaged. Tell your instructor what happened. Examples: Question 1: (1 point) There is a problem generating randomized coefficients for the question: Comparison of Graphs Error initializing $A: There is a syntax error in the algorithmic expression "maple("randomize():RandomTools[Generate](choose({turquoise,sienna,green,magenta,yellow}));")". The following error message was generated: null Question 2: (1 point) What is the exact value of the largest solution of (((q)(u))(a))(t)=0, i.e., (((s)(h))(o))(w)? I sent an email to my instructor about a problem I was having with the current assignment and she replied that she does not have enough information on my problem to help me. What does she need? Most questions on your assignments are generated from a family of similar questions by selecting particular values for things like coefficients. This is done by randomly selecting those values at the time you start the assignment. If you tell your instructor that you are having trouble with Question 7 on the assignment for Section 3.4. Your particular version of that question may be one of a thousand possibilities. Maple TA does not permit the instructor to view a student's assignment until it has been graded. To get help while an assignment is in progress you must provide your instructor with the specifics of the question. Here are a few ways that you can do this: Bring a copy of the printout of your assignment to your instructor or email the instructor an electronic version (scanned or captured). If your instructor has experience with writing questions for Maple TA then she can generate your question given the values of the parameters. To get the parameters bring your question up on Maple TA and click on the Bug Report link. At the bottom of the Bug Report window there is a button labeled View Parameters. Click on that button. The information contained in the window that opens will provide the instructor with the needed values. If the problem does not have any special graphics, you may be able to copy and paste the text of the problem statement into an email message and send it to your instructor.
ExploreLearning offers a catalog of modular, interactive simulations in math and science for teachers and students. They call these simulations Gizmos and they are meant to be fun, easy to use, and flexible enough to... An online course: learning units presented in worksheet format review the most important results, techniques and formulas in college and pre-college differential equations. Sections include: Introduction and First...
Mathematics for Consumers is designed for secondary students and for adults who have studied the concepts of basic mathematics but who need additional guidance in applying these concepts toward wise consumer decisions. An excellent resource for the homeschooler, student and tutor.
The Calculus Tutor DVD Series will help students understand the fundamental elements of calculus- -how to take algebra and extends it to include rates of change between quantities. Concepts are introduced in an easy to understand way and step-by-step example problems help students understand each part of the process. This lesson teaches students how to take derivatives of functions that involve an exponential and how to solve integrals that involve exponentials. Grades 9-12. 28 minutes on DVD.
The ... More About This Book The three-part treatment begins with concepts and theorems encountered in the theory of quadrature. The second part is devoted to the problem of calculation of definite integrals. This section considers three basic topics: the theory of the construction of mechanical quadrature formulas for sufficiently smooth integrand functions, the problem of increasing the precision of quadratures, and the convergence of the quadrature process. The final part explores methods for the calculation of indefinite integrals, and the text concludes with helpful appendix
Elementary Algebra for College Students - 8th edition Summary: Today's students are visual learners, and Angel/Runde offers a visual presentation to help them succeed in math. Visual examples and diagrams are used to explain concepts and procedures. New Understanding Algebra boxes and an innovative color coding system for variables and notation keep students focused. Short, clear sentences reinforce the presentation of each topic and help students overcome language barriers to learn math. Real Numbers; Solving Linear Equations and Inequalities; ...show moreApplications of Algebra; Exponents and Polynomials; Factoring; Rational Expressions and Equations; Graphing Linear Equations; Systems of Linear Equations; Roots and Radicals; Quadratic EquationsNew BookStore101 SUNNY ISLES BEACH, FL INSTRUCTOR EDITION.ALL ANSWERS INCLUDED.Identical to student edition.Black tape on cover. NO CD OR ACCESS CODE.SHIPS FAST!! SAME DAY OR W/N 24 HOURS.EXPEDITED SHIPPING AVAILABLE TOO!! $183.74 +$3.99 s/h New ShopSpell Wharton, NJ Brand New item. 100% Guaranteed. Reliable customer service.3-10 Hardback 8$242.56 +$3.99 s/h New Lyric Vibes Geneva, IL Hardcover New 0321620933
Course Information Faculty Description This course is the reinforcement of basic managerial math in the conduct of business, to include some statistical analysis, research methodology, mathematics of finance, and a little elementary business calculus. Emphasis is on practical applications and tools as well as analytical inquiry of the results. Students will sharpen their skills and insights required to make effective use of statistical methods. The module provides the knowledge needed to select and apply techniques and to communicate statistical results. Interpretation of statistical methods will allow students to make better informed business decisions.

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