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Pre-AP Algebra II
Course Description:
This course is designed for advanced students who are capable of a more rigorous course at an accelerated pace. The course covers the concepts listed in the Algebra II description and provides the foundation for students to pursue a sequence of advanced mathematical studies from Math Analysis to Advanced Placement Calculus. Students will use graphing calculators, computers, and other appropriate technology. Students taking this course will take an end-of-course SOL test in Algebra II. Students must pass both the course and the SOL test to earn a verified credit. | 677.169 | 1 |
ElementaryElementary Differential Equations with Boundary Value Problems "integrates the underlying theory, the solution procedures, and the numerical/computational aspects of differential equations in a seamless way that provides students with theMore...
"Elementary Differential Equations with Boundary Value Problems "integrates the underlying theory, the solution procedures, and the numerical/computational aspects of differential equations in a seamless way that provides students with the necessary framework to understand and solve differential equations. Theory is presented as simply as possible with an emphasis on how to use it. With an emphasis on linear equations, linear and nonlinear equations (first order and higher order) are treated in separate chapters. In developing mathematical models, this text guides the student carefully through the underlying physical principles leading to the relevant mathematics. Asking students to use common sense, intuition, and 'back-of-the-envelope' checks as well as challenging them to anticipate and interpret the physical content of the solution encourage critical thinking. MARKET: Intended for use in introductory course in differential equations | 677.169 | 1 |
A level maths coursework mei
AS/A-Level Past Examination Papers The very latest A level papers can only be accessed from the OCR Interchange or There are some MEI in-house practice. A-level Mathematics/MEI/DE From Wikibooks, open books for an open world A-level Mathematics | MEI Jump to: Coursework Structure. Frequently asked questions – Level 3 The philosophy of the MEI A level is MEI Who marks the coursework.
A level maths coursework mei
We're starting the C3 coursework next week and I was wondering if anyone could tell me MEI C3 coursework I need an A in maths to get in to uni and I'm. Contents Introduction and but you can also refer to the MEI coursework booklet and any other material (eg videos) in the "C3 Coursework" part of the Maths. A level maths coursework mei : skills to students take a level are three mei has a wide range of accuracy is no coursework and ocr, ocr mei a higher level hl.
Studies have also shown that people with Maths A Level also OCR MEI also offers Further Maths making MEI the only board with compulsory coursework in Maths. A-level Maths 6360 helps students Maths; AS and A-level; Mathematics; 15 February 2017 Last date to send question approval forms to the coursework/NEA. A level maths coursework mei Was there is maths as level examination plus coursework attached to impose a levels including the coursework help with a level maths.
Home > A Level and IB > Mathematics > C3 Coursework C3 Coursework USE AS EXAMPLE ONLY DO NOT COPY C3 Coursework I have chosen the equation. A level maths coursework mei Coursework a level maths challenge at the uk a level maths cap post course While several go on the option to level sl. Sample coursework for Differential Equations "Modelling an Aeroplane" for OCR MEI A-level Maths Original at piguyorg/DEpdf Interests: Types, School Work.
Suitable for use with all AS/A level Maths and/or Further Maths students Accessible from school or college and home at any 2016 MEI Integral is produced by MEI.
AS and A Level ; Maths; AS and A Level: Maths Browse by Category: This coursework is about finding the roots of equations by numerical methods.
OCR AS/A Level GCE Mathematics (MEI) A variety of assessment methods including some coursework The end dates for our AS and A Level Maths. 5/24/2013 How to complete the Change in Sign domain for the Core 3 coursework MEI Numerical Methods Coursework A-Level Maths. | 677.169 | 1 |
Solving Compound Inequalities - YourTeacher.com - Algebra Help
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Solving Compound Inequalities - YourTeacher.com - Algebra Help
For a complete lesson on solving compound inequalities, go to - 1000+ online math lessons featuring a personal math teacher inside every lesson! In this lesson, students learn to combine the ideas of solving inequalities and compound inequalities. | 677.169 | 1 |
Product Description:
Emphasizing fundamental mathematical ideas rather than proofs, Introduction to Stochastic Processes, Second Edition provides quick access to important foundations of probability theory applicable to problems in many fields. Assuming that you have a reasonable level of computer literacy, the ability to write simple programs, and the access to software for linear algebra computations, the author approaches the problems and theorems with a focus on stochastic processes evolving with time, rather than a particular emphasis on measure theory.
For those lacking in exposure to linear differential and difference equations, the author begins with a brief introduction to these concepts. He proceeds to discuss Markov chains, optimal stopping, martingales, and Brownian motion. The book concludes with a chapter on stochastic integration. The author supplies many basic, general examples and provides exercises at the end of each chapter.
New to the Second Edition:
Expanded chapter on stochastic integration that introduces modern mathematical finance
Introduction of Girsanov transformation and the Feynman-Kac formula
Expanded discussion of Itô's formula and the Black-Scholes formula for pricing options
New topics such as Doob's maximal inequality and a discussion on self similarity in the chapter on Brownian motion
Applicable to the fields of mathematics, statistics, and engineering as well as computer science, economics, business, biological science, psychology, and engineering, this concise introduction is an excellent resource both for students and professionals.
REVIEWS for Introduction to Stochastic Process | 677.169 | 1 |
Calculus: Second Derivative Test (Graphing Calculator)
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I use this worksheet as an introduction to the second derivative test. Students use the graphing calculator to generate the graphs of both a function and it's second derivative. They do not need to calculate the derivative at this point so the calculator comes in handy for the graphing.
Students observe and record the behavior of the graph of the derivative, thus discovering for themselves how the behavior relates to the original function. They can work alone or in pairs - my preference is for them to work in pairs so they can discuss their findings | 677.169 | 1 |
Synopsis
Even the simplest singularities of planar curves, e.g. where the curve crosses itself, or where it forms a cusp, are best understood in terms of complex numbers. The full treatment uses techniques from algebra, algebraic geometry, complex analysis and topology and makes an attractive chapter of mathematics, which can be used as an introduction to any of these topics, or to singularity theory in higher dimensions. This book is designed as an introduction for graduate students and draws on the author's experience of teaching MSc courses; moreover, by synthesising different perspectives, he gives a novel view of the subject, and a number of new results.
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A Textbook of Algebra Vol.1 for JEE Main & Advanced
ISBN 9789351760795
ISBN-10
9351760790
Binding
Paperback
Edition
5th
Number of Pages
702 Pages
Language
(English)
Subject
Entrance Exam Preparation
Entrance examinations like JEE Main and Advanced requires thorough study of all the concepts covered under its syllabi. By through study it is meant that the students should have an in-depth knowledge as well as practical knowledge of all the concepts. This book has been designed keeping in mind the needs of students preparing for JEE Main and Advanced and other Engineering Entrance Exams and will serve as a textbook for Algebra covered in such entrance examinations.
This revised edition deals with a totally new and distinct style of solving problems of algebra. The book has been divided into 7 chapters covering Sequences and Series, Logarithms and their Properties, Theory of Equations, Complex Numbers, Binomial Theorem, Binomial Theorem for any Rational Index and Exponential and Logarithmic Series, each containing detailed theoretical content at the beginning for better understanding of basic concepts. Illustrations are provided in each chapter for on spot assessment along with Introductory Exercises at the end of each concept. Shortcuts and Important Results to Remember section helps in quick revision of the concepts learnt in each chapter. Proficiency Exercises with various types of questions like Subjective Questions, Assertion-Reason, Paragraph Type, Integer Type and Matrix Type have been added at the end of each chapter.
This is a must have textbook which starts from fundamentals and gradually builds your concepts up to the level required for Engineering Entrances and finally will place you among the toppers. | 677.169 | 1 |
About the Book
Keeping mathematics to a minimum, the book is designed with the undergraduate in mind, first building a foundation, then bridging the gap between control theory and its real-world application. Computer-aided design accuracy checks (CADAC) are used throughout the text to enhance computer literacy. Each CADAC uses fundamental concepts to ensure the viability of a computer solution.
Completely updated and packed with student-friendly features, the sixth edition presents a range of updated examples using MATLAB®, as well as an appendix listing MATLAB functions for optimizing control system analysis and design. Over 75 percent of the problems presented in the previous edition have been revised or replaced. | 677.169 | 1 |
Circuit Training - Compound Inequalities and Absolute Value (algebra)
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Give your students engaging practice with the circuit format! This circuit contains 18 compound inequalities for students to solve. The problems build in difficulty all the way up to word problems, which is great for differentiated instruction. Your students will enjoy hunting for their answer(s) to advance in the circuit. My students do not get up when the bell rings if they are working on an circuit! Can be easily made into task cards or a scavenger hunt, but I like this format because students have a record of their work from which to study.
The only prep the teacher has to do is work the circuit ahead of time to understand the unfolding of the concept. The circuit and students take care of the rest Easy to grade | 677.169 | 1 |
Although it is labeled as an introduction to PC game programming, the tutorials given on Atrevida additionally cover many aspects of mathematics and general computer science. A modest background in the C language is...
This site gives a number of tutorials and information to help students and instructors develop a knowledge and understanding of the basics of Electronics. Topics include amplifiers, inductors, capacitors,...
In this lesson from Math Machines, students will use graphing calculators to send signals to each other and to machines such as an RC vehicle, a buzzer and a fan. Students will gain an understanding of the 4-bit binary...
This site includes an encyclopedic collection of descriptions of electronics circuitry and principles to introduce or reacquaint readers with a wide variety of concepts. In addition to passive and active components,...
In this lesson from Math Machines, students will learn how automated systems transform input data into output actions. The class will program a graphing calculator, collect input data and observe output actions. Students... | 677.169 | 1 |
Practice college math test 1 with MCQ on introduction to sets, functions and groups test for online learning. Learn sets, functions and groups multiple choice questions (MCQ) on introduction to sets, functions and groups, implication or conditional, biconditional, operation on sets with answers. Free sets, functions and groups revision notes has answer key with choices as the set of integers, the set of natural numbers, the set of complex numbers and the set of even integers of multiple choice questions (MCQ) as set of rational numbers q is a subset of to test learning skills. Study to learn introduction to sets, functions and groups quiz questions to practice MCQ based online exam preparation test. | 677.169 | 1 |
BLOSSOMS - Connections in the Plane without Crossing (English Subtitles)
This lesson presents interesting and challenging problems in Graph Theory, supporting the skills that students learned at school and stimulating their critical thinking. The topics will include: basic properties of graphs; complete graphs and complete bipartite graphs; planar and plane graphs; and Euler's formula - the four-color theorem. | 677.169 | 1 |
Semi-Log Graph Paper:
The distinguishing characteristics for Semi-Log graphing sheets is that the grid along one of the axes is linier and the grid along the other axis is logarithmic. There are choices of having the logarithmic grid run along the Vertical or Horizontal Axes. For the linier grid, chooses are the same that you had for linier grid graphing sheets, and in addition to those choices, the logarithmic axis has three additional option sets to choose from. Choose from 1 to 12 cycles, logarithmic bases from 2 to 16, and the direction of the logarithmic grid. The most common base choice is base 10 for such thing as sound volume, the hardness of materials, the strength of an earth quake, etc.
Introduction / Instructions | 677.169 | 1 |
Math
Math Textbooks
California Learning Resource Network
This textbook and Internet resource provides introductory information, concept or skill development in Mathematics for grade 9, 10, 11, and 12 students who are at grade level in a single student situation. Brief Description CK-12's Trigonometry delivers a directed course of study in the mathematics of triangles, right triangle relationships, and the functions which describe those relationships, for the high school student. It builds on the trigonometry of right triangles, circular functions, and the intricacies of trigonometric identities, through inverse functions and the solution of trigonometric equations, culminating in vectors, polar equations, and complex numbers. This digital textbook was reviewed for its alignment with the content standards only; California's Social Content Review criteria were not applied. A correlation document is available. Email to a friend. Add to your Reminders.
Online texts
Professor Jim Herod and I have written Multivariable Calculus ,a book which we and a few others have used here at Georgia Tech for two years. We have also proposed that this be the first calculus course in the curriculum here, but that is another story.... Although it is still in print, Calculus,by Gilbert Strang is made available through MIT's OpenCourseWare electronic publishing initiative.
Math & Science
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PHYS771 Lecture 9: Quantum Scott Aaronson There are two ways to teach quantum mechanics. The first way -- which for most physicists today is still the only way -- follows the historical order in which the ideas were discovered. So, you start with classical mechanics and electrodynamics, solving lots of grueling differential equations at every step. Then you learn about the "blackbody paradox" and various strange experimental results, and the great crisis these things posed for physics. Today, in the quantum information age, the fact that all the physicists had to learn quantum this way seems increasingly humorous. As a direct result of this "QWERTY" approach to explaining quantum mechanics - which you can see reflected in almost every popular book and article, down to the present -- the subject acquired an undeserved reputation for being hard. So, what is quantum mechanics? Ray Laflamme: That's very much a computer-science point of view. Scott: Yes, it is. A Less Than 0% Chance (p1,.... . ?
PHYS771 Lecture 9: Quantum
Interactive Processes
I admit to knowing very little about how school finances work. Some schools have hundreds of iPads, others have leaking roofs. It's all a mystery to me. Why enrichment? A couple of years ago I accompanied a group of twenty Year 12 students to a day of Maths in Action lectures. Education is all about making students more knowledgeable, so we should share mathematics in all its glory - not just the content of the exam syllabus. There are loads of brilliant places for mathematical school trips. In-School Speakers A while ago I asked Twitter about maths speakers and I was very grateful to receive dozens of useful replies. Matt Parker (@standupmaths) runs Think Maths, a group of fantastic speakers who visit schools to perform maths talks and workshops for all ages and abilities. James Grime (@jamesgrime) travels extensively giving public talks all over the world. Bletchley Park (@BletchleyParkGB) offers 'Enigma Outreach' in which they bring a genuine, working Enigma machine to your school.
Resourceaholic: Enrichment
Background The Head of PE (Nic Christo) asked me if we could do some cross-curricular work in maths lessons that linked to the upcoming sports day. To keep the buzz of sports day going, Nic wanted English, Maths and Science to do some sort of project. So year 8 scientists looked at the energy expended by athletes in different disciplines, while year 9 English lessons did some post-sports-day reporting. For my year 7s I chose to take the data and turn it into an infographic. The video to the right is a photo montage of the morning, which despite being beaten in the staff vs students 4x100m relay, was the best sports day I've ever been part of: so slickly organised that we finished early; students who were competitive and sportsmanlike; a nail-biting close to the year 7 competition (finally decided on a tug of war); and an oddball member of the public who insisted on running round the track while we were competing on it! Infographics HW 1Infographics HW 2 Lesson 1 Infographics Flipchart
Sports Day Infographic | Mr Reddy Maths Blog
History Where to Buy Rules Links Introduction Hounds and Jackals, also known as 'Dogs and Jackals', the 'game of 58 holes' and the 'Palm Tree game', is a game first played in Ancient Egypt around the 9th-12th dynasties. The earliest board yet found was unearthed at Thebes dated to roughly 2100 BC and is one of the best preserved, featuring a palm tree and standing on four short legs. Importantly, it is also complete with 10 pieces in the form of five hound pieces and five jackal pieces heads. More than 40 boards boards (or fragments of them) have been found, many of them outside Egypt - primarily in Mesopotamia from around 1850 BC through to the Asyrian period (1200-612 BC) , and in Palestine dated to the late Bronze Age (1550-1200 BC). The game is one of several games played by the Ancient Egyptians, most of them apparently race games. Layout of the Palm Tree Game Boards normally have holes 10, 15, 20, 25 highlighted as special, in addition to hole 30, the finishing hole. Binary Dice Rules
Hounds and Jackals - Online Guide
World Population: Past, Present, and Future (move and expand the bar at the bottom of the chart to navigate through time) The chart above illustrates how world population has changed throughout history. View the full tabulated data. At the dawn of agriculture, about 8000 B.C., the population of the world was approximately 5 million. Over the 8,000-year period up to 1 A.D. it grew to 200 million (some estimate 300 million or even 600, suggesting how imprecise population estimates of early historical periods can be), with a growth rate of under 0.05% per year. A tremendous change occurred with the industrial revolution: whereas it had taken all of human history until around 1800 for world population to reach one billion, the second billion was achieved in only 130 years (1930), the third billion in less than 30 years (1959), the fourth billion in 15 years (1974), and the fifth billion in only 13 years (1987). Wonder how big was the world's population when you were born? Growth Rate Jews
World Population Clock: 7.5 Billion People (2017)
math research
In a study published last year, the researchers Ilaria Berteletti and James R. Booth analyzed a specific region of our brain that is dedicated to the perception and representation of fingers known as the somatosensory finger area. Give the students colored dots on their fingers and ask them to touch the corresponding piano keys:
Math Teachers Should Encourage Their Students to Count Using Their Fingers in Class
Have you ever said or thought any of the following? "They just add all the numbers! It doesn't matter what the problem says." Then you might be interested in trying out numberless word problems with your students. In essence, numberless word problems are designed to provide scaffolding that allows students the opportunity to develop a better understanding of the underlying structure of word problems. Get started by reading my initial post introducing numberless word problems. Problem Banks My latest endeavor is creating small banks of numberless word problems related to each of the CGI problem types. Addition and Subtraction Problem Types Multiplication and Division Problem Types Other Pumpkin-Themed Problems – Designed for grades 3-5Trick or Treat – Halloween-themed problem ideal for grades 4-5Three Problems – Each ends with a sample list of questions that could be asked about the situation. Blog Post Collection Would you like to hear how other educators have used numberless word problems?
Numberless Word Problems | Teaching to the Beat of a Different Drummer
More Lessons Learned from Research, Volume 1
Edited by Edward A. Silver and Patricia Ann Kenney Bridging the Gap between Research and Practice in Today's Mathematics Classroom What we discover in research should influence how we teach in our classrooms. To help teachers even more, these articles have been chosen for their relevance to the eight Standards for Mathematical Practice in the Common Core State Standards. The chapters cover a wide range of topics, approaches, and settings, including— a case study of a third-grade teacher who sought to create a math-talk learning community in an urban classroom;an examination of middle school students' problem-solving behaviors from a reading comprehension perspective;a meta-analysis of the effects of calculator use in K–12 classrooms;an exploration of the strategies that high school geometry students employ when using a dynamic software program; andan analysis of a professional development initiative designed to help teachers select and implement cognitively challenging tasks.
Math Activities
Math Mindsets
Inspiring Students to Math Success and a Growth Mindset
The Myth of 'I'm Bad at Math' - Miles Kimball & Noah Smith
"I'm just not a math person." We hear it all the time. And we've had enough. Because we believe that the idea of "math people" is the most self-destructive idea in America today. Is math ability genetic? How do we know this? Different kids with different levels of preparation come into a math class. Thus, people's belief that math ability can't change becomes a self-fulfilling prophecy. The idea that math ability is mostly genetic is one dark facet of a larger fallacy that intelligence is mostly genetic. A body of research on conceptions of ability has shown two orientations toward ability. The "entity orientation" that says "You are smart or not, end of story," leads to bad outcomes—a result that has been confirmed by many other studies. You have a certain amount of intelligence, and you really can't do much to change it. They found that students who agreed that "You can always greatly change how intelligent you are" got higher grades. The results? So why do we focus on math? 1.
1. MEN ARE BETTER IN MATH THAN WOMEN. Research has failed to show any difference between men and women in mathematical ability. Men are reluctant to admit they have problems so they express difficulty with math by saying, "I could do it if I tried." 2. 3. 4. 5. 6. 7. 8. 9. 10. 11. 12.
Twelve Math Myths | College of Rural & Community Development
Can you solve the control room riddle? - Dennis Shasha
Much of this educator's work concerns a mixture of logic with educated guesses. This educator teaches a class called Heuristic Problem Solving in which students face puzzles every week and write computer programs to solve them. Some of those students have turned those puzzles into two or more people computer games. A few of those games even include an Artificially Intelligent opponent. Please visit the doctor ecco site to create an account and try the games. Like paper and pencil challenges? Love this riddle? Love the challenge of puzzles and riddles? Can you solve the locker riddle? | 677.169 | 1 |
CollegeWilliams offers a refreshing and innovative approach to college algebra, motivating the topics with a variety of applications and thoroughly integrating the graphing calculator. Written in a clear and friendly voice that speaks to students with weak algebra skills, this text teaches students to look at math from both algebraic and geometric viewpoints. Williams focuses on the underlying concepts, introducing and using the graphing calculator as an integral means, not an end. New applications examples and exercises from a variety of fields motivate the key ideas and show students why math is useful and powerful. Packaged free with every new copy of the text, an ELECTRONIC COMPANION TO COLLEGE ALGEBRA CD-ROM is a dynamic and interactive college algebra tutorial. It covers key concepts through multiple representations: graphic, numerical, algebraic, and verbal. "Review Topics" boxes present the main ideas of the course and "Test Yourself" problems test student understanding. A workbook of additional examples and exercises is built into the CD-ROM. | 677.169 | 1 |
"Time is a Slippery Slope" PROVERB
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In this puzzle from the book, PRE-ALGEBRA PROVERBS, students will be …
-Decoding a proverb from Chapter 13, Verse 20
- Finding slopes by using a graph, using a table, using two ordered pairs, and the equation of a line
Author: Jay Waggoner, Value Added Publishing
Get all 51 Pre-Algebra Proverb puzzles by purchasing this MATHACROSTICS book for only $9.95!
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A proven motivator for students of diverse mathematical backgrounds, this text is organized and written with all students in mind. Striving to teach mathematics as a way of life, Sullivan provides understandable, realistic applications that are consistent with the abilities of any student.
This text develops the trigonometric functions using a unit circl approach and showing how it leads to the right triangle approach. Graphing techniques are emphasized, including a thorough discussion of polar coordinates, parametric equations, and conics using polar coordinates. | 677.169 | 1 |
Description
Exam Board: AQA Level: GCSE Subject: Maths First teaching: September 2015 First exams: June 2017 Revise smart and save! Our Revision Workbook for the new AQA GCSE Mathematics specification helps you develop vital skills throughout your course in preparation for the exams with: * One-to-one page match with the corresponding Revision Guide so you can find the practice you need quickly and easily * Guided practice questions on every page demonstrate good technique and build confidence * Loads of practice questions in the style of the new exams, with plenty of practice at problem-solving and reasoning skills * Hints and tips helps you avoid common pitfalls * A full set of practice papers written to match the new specification exactly | 677.169 | 1 |
About this product
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MTEL Middle School Mathematics 47 Includes 21 competencies/skills found on the MTEL Middle School Mathematics test and 125 sample-test questions. This guide, aligned specifically to standards prescribed by the Massachusetts Department of Education, covers the sub-areas of Number Sense and Operations; Patterns, Relations and Algebra; Geometry and Measurement; Data Analysis, Statistics and Probability; and Trigometry, Calculus and Discrete Mathematics. | 677.169 | 1 |
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Discrete mathematics, a subject usually not taught until college, is a great tool for teaching mathematical reasoning and logical argument. This guide allows you to interactively teach discrete mathematics concepts with minimal preparation. Use this enrichment math for a small group of students or the whole | 677.169 | 1 |
Download Free Introductory Analysis A Deeper View Of Calculus Book in PDF and EPUB Free Download. You can read online Introductory Analysis A Deeper View Of Calculus and write the review.
Introductory Analysis addresses the needs of students taking a course in analysis after completing a semester or two of calculus, and offers an alternative to texts that assume that math majors are their only audience. By using a conversational style that does not compromise mathematical precision, the author explains the material in terms that help the reader gain a firmer grasp of calculus concepts. * Written in an engaging, conversational tone and readable style while softening the rigor and theory * Takes a realistic approach to the necessary and accessible level of abstraction for the secondary education students * A thorough concentration of basic topics of calculus * Features a student-friendly introduction to delta-epsilon arguments * Includes a limited use of abstract generalizations for easy use * Covers natural logarithms and exponential functions * Provides the computational techniques often encountered in basic calculus
This unique book provides a new and well-motivated introduction to calculus and analysis, historically significant fundamental areas of mathematics that are widely used in many disciplines. It begins with familiar elementary high school geometry and algebra, and develops important concepts such as tangents and derivatives without using any advanced tools based on limits and infinite processes that dominate the traditional introductions to the subject. This simple algebraic method is a modern version of an idea that goes back to René Descartes and that has been largely forgotten. Moving beyond algebra, the need for new analytic concepts based on completeness, continuity, and limits becomes clearly visible to the reader while investigating exponential functions.The author carefully develops the necessary foundations while minimizing the use of technical language. He expertly guides the reader to deep fundamental analysis results, including completeness, key differential equations, definite integrals, Taylor series for standard functions, and the Euler identity. This pioneering book takes the sophisticated reader from simple familiar algebra to the heart of analysis. Furthermore, it should be of interest as a source of new ideas and as supplementary reading for high school teachers, and for students and instructors of calculus and analysis.
Modelling with the Ito integral or stochastic differential equations has become increasingly important in various applied fields, including physics, biology, chemistry and finance. However, stochastic calculus is based on a deep mathematical theory. This book is suitable for the reader without a deep mathematical background. It gives an elementary introduction to that area of probability theory, without burdening the reader with a great deal of measure theory. Applications are taken from stochastic finance. In particular, the Black -- Scholes option pricing formula is derived. The book can serve as a text for a course on stochastic calculus for non-mathematicians or as elementary reading material for anyone who wants to learn about Ito calculus and/or stochastic finance.
Distribution theory, a relatively recent mathematical approach to classical Fourier analysis, not only opened up new areas of research but also helped promote the development of such mathematical disciplines as ordinary and partial differential equations, operational calculus, transformation theory, and functional analysis. This text was one of the first to give a clear explanation of distribution theory; it combines the theory effectively with extensive practical applications to science and engineering problems. Based on a graduate course given at the State University of New York at Stony Brook, this book has two objectives: to provide a comparatively elementary introduction to distribution theory and to describe the generalized Fourier and Laplace transformations and their applications to integrodifferential equations, difference equations, and passive systems. After an introductory chapter defining distributions and the operations that apply to them, Chapter 2 considers the calculus of distributions, especially limits, differentiation, integrations, and the interchange of limiting processes. Some deeper properties of distributions, such as their local character as derivatives of continuous functions, are given in Chapter 3. Chapter 4 introduces the distributions of slow growth, which arise naturally in the generalization of the Fourier transformation. Chapters 5 and 6 cover the convolution process and its use in representing differential and difference equations. The distributional Fourier and Laplace transformations are developed in Chapters 7 and 8, and the latter transformation is applied in Chapter 9 to obtain an operational calculus for the solution of differential and difference equations of the initial-condition type. Some of the previous theory is applied in Chapter 10 to a discussion of the fundamental properties of certain physical systems, while Chapter 11 ends the book with a consideration of periodic distributions. Suitable for a graduate course for engineering and science students or for a senior-level undergraduate course for mathematics majors, this book presumes a knowledge of advanced calculus and the standard theorems on the interchange of limit processes. A broad spectrum of problems has been included to satisfy the diverse needs of various types of students.
Suitable for advanced undergraduate and graduate students of mathematics, physics, or engineering, this introduction to the calculus of variations focuses on variational problems involving one independent variable. It also discusses more advanced topics such as the inverse problem, eigenvalue problems, and Noether's theorem. The text includes numerous examples along with problems to help students consolidate the material.
This textbook is distinguished from other texts on the subject by the depth of the presentation and the discussion of the calculus of moving surfaces, which is an extension of tensor calculus to deforming manifolds. Designed for advanced undergraduate and graduate students, this text invites its audience to take a fresh look at previously learned material through the prism of tensor calculus. Once the framework is mastered, the student is introduced to new material which includes differential geometry on manifolds, shape optimization, boundary perturbation and dynamic fluid film equations. The language of tensors, originally championed by Einstein, is as fundamental as the languages of calculus and linear algebra and is one that every technical scientist ought to speak. The tensor technique, invented at the turn of the 20th century, is now considered classical. Yet, as the author shows, it remains remarkably vital and relevant. The author's skilled lecturing capabilities are evident by the inclusion of insightful examples and a plethora of exercises. A great deal of material is devoted to the geometric fundamentals, the mechanics of change of variables, the proper use of the tensor notation and the discussion of the interplay between algebra and geometry. The early chapters have many words and few equations. The definition of a tensor comes only in Chapter 6 – when the reader is ready for it. While this text maintains a consistent level of rigor, it takes great care to avoid formalizing the subject. The last part of the textbook is devoted to the Calculus of Moving Surfaces. It is the first textbook exposition of this important technique and is one of the gems of this text. A number of exciting applications of the calculus are presented including shape optimization, boundary perturbation of boundary value problems and dynamic fluid film equations developed by the author in recent years. Furthermore, the moving surfaces framework is used to offer new derivations of classical results such as the geodesic equation and the celebrated Gauss-Bonnet theorem. | 677.169 | 1 |
The Nature and Origin of Mathematical Skills broad range of current experimental research on numerical cognition and the acquisition of mathematical skills is covered in this volume. The individual chapters provide in-depth analysis of specific issues, methodologies, phenomena, and theory. The book is divided into two parts. In the first part the focus is on the acquisition and development of numerical skills. Part 2 of the book contains research on the information-processing basis of numerical skills, focusing on the mechanisms of perception, attention, and memory that support number skills.
The range of theoretical and methodological orientations represented in the volume captures both the diversity and coherence of contemporary research into mathematical skills. The research of educational psychologists, cognitive psychologists, and cognitive neuropsychologists mutually informs and reinforces theoretical developments within each area. The multidisciplinary interest in mathematics skills reflects the pervasiveness and importance of mathematics in education, technology, and science, and also indicates that questions about mathematical competence address important issues in diverse areas of psychology and cognitive science.
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Algebra 1 EOC Review B
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This activity contains 15 EOC practice questions for Algebra 1. The questions review functions, sequences, exponents, and polynomial operations among other items. The students can work individually or in a small group. The activity can be done at a desk or the questions can be individually hung on the walls around the room (included). Once the students have had a specified time or have worked all of the problems, they can check their answers by placing the letters in the blanks and discovering the message. The activity is short enough to not take up an entire class period and to review | 677.169 | 1 |
Linear Algebra A gentle introduction PowerPoint PPT Presentation
Linear Algebra A gentle introduction. Linear Algebra has become as basic and as applicable as calculus, and fortunately it is easier. --Gilbert Strang, MIT. What is a Vector ?. Think of a vector as a directed line segment in N-dimensions ! (has "length" and "direction")
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Linear Algebra A gentle introduction | 677.169 | 1 |
Presenting worked examples and solutions leading to practice questions, this helps students to learn maths. It features sample past exam papers for exam preparation, and includes regular review sections. It includes a CD ROM which contains what students need to motivate and prepare themselves.
Synopsis:
Edexcel and A Level Modular Mathematics C4 features: *Student-friendly worked examples and solutions, leading up to a wealth of practice questions. *Sample exam papers for thorough exam preparation. *Regular review sections consolidate learning. *Opportunities for stretch and challenge presented throughout the course. *'Escalator section' to step up from GCSE. PLUS Free LiveText CD-ROM, containing Solutionbank and Exam Cafe to support, motivate and inspire students to reach their potential for exam success. *Solutionbank contains fully worked solutions with hints and tips for every question in the Student Books. *Exam Cafe includes a revision planner and checklist as well as a fully worked examination-style paper with examiner commentary | 677.169 | 1 |
Systems of Linear Equations Review Activity
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0.36 MB | 4 pages
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A fun review of Systems of Linear Equations!
This Activity is a great review for Systems of Linear Equations. It works great in groups or could be given as an assignment. Students will solve 15 Systems of Linear Equations using various methods. After they have completed the problems they will graph the 15 ordered pairs that should result in a Smiling Star! I have written the 15 Systems of Equations problems in 2 formats - first as 15 Task Cards to be posted around the room so students can get up and move around while solving the problems and as an alternative I have included the same 15 problems in a worksheet format so students can solve the problems individually or in groups at their seats. Groups work well for this activity because students can check each others' work for accuracy and a good discussion usually results. They are so excited to see the happy Star face appear | 677.169 | 1 |
I had him for 234 (Multivar. Calc) and his exams were fair. Not too hard, not too easy, based on the homework questions. He's an excellent lecturer, had us do practice problems during lecture that he'd walk us through.
All these answers are ambiguous as hell, and as a Math major, I cannot allow what you hear here to be ambiguous biased bullshit.
Calculus
The differences between Calculus and Discrete Math are incredibly important. Calculus deals with "smooth" things, like curves. Calculus defines these "smooth" things to be differentiable at all "important" points (i.e. The function has a derivative you could calculate at any point you care about).
Discrete Math
Discrete math is completely different at its core. Discrete math deals with "discrete" structures. These things are not smooth in any sense. A common example is the set of all integers. If you were to plot all of the integers on a graph, it would not look smooth at all. You'd have a clear jump from 1 to 2, 2 to 3, etc. Whereas if you look at x2, if you zoom in super close on the graph, there is no jump between 1 and 2, it's smooth and has infinitely many values between 1 and 2.
You could also think about the memory in a computer. If you look at all the memory, you have a ton of little boxes where one number can be stored. Each memory location is discrete.
Naturally this math is incredibly important to people wanting to study Computation (or "Computer Science" even though most of the field is not made up of Scientists...) because computers can only deal with discrete things.
Why it's Hard
A lot of schools use this class as an introductory proof course. They teach things that are incredibly important, like how to derive truth and other statements with logical operations (i.e. What processors do), how to prove a program is "correct" (Note correct means that it provides the correct output for all supported input, and the program will eventually stop.), how to consider an algorithm "good", etc.
The problem with doing things this way is that "introductory proof-based course" of course means that sometimes the instructors will not teach you (or will not teach well enough) how to construct a proof. When you spend your whole life never seeing a proof and merely learning enough about math to begin to understand this new math, constructing proofs of your own will be hard. A lot of these problems will be incredibly easy, and you'll know they're easy, but you won't be able to see the obvious solution staring you in the face.
Example: Assume you know 4k is divisible by 3, show that 4k+1 is divisible by 3.
Well, 4k+1 = 4*4k but that doesn't really seem to help me. I have 4k, but it's being multiplied by 4... Do you see the incredibly obvious solution that will make you very mad when you spend 3 hours staring at the homework unable to solve it?
4*4k = (1 + 3)4k = 4k + 3 * 4k
We know that 4k is divisible by 3, and any number multiplied by 3 is divisible by 3, so the proof is done. And that was just a small part of my weekly homework. When you have many other classes, it's tough.
Lesson learned: Go get help if you don't understand anything in Discrete Math. Do your homework well in advance of when it's due so that you can ask for help. They'll think you're smarter for asking for help. They'll hint at the answer if you ask for help. It will be much easier if you do so.
You need that 5 gauge to handle those new 80+ certified nuclear reactor power supplys people put in their gaming rigs. The only problem is that it needs a separate water cooling loop. And if it breaks, or even operates correctly, everyone nearby dies.
I'd say having a conditional event related to many choices is much more fun than having a meter. I like the idea of putting a boolean value in some data file, and later down the line having a related event pan out differently because of that data.
In this way you can make more complicated events based on multiple values in the past. You can also create a karma meter dynamically for events that depend on general behavior, and not just individual events. By storing these things for later, you are freed from just one type of data (e.g. a number from 1-100) and have much more creative freedom.
If I had my glasses off for some inexplicable reason, this would be blurry enough for me to think "Why is there some weird yellow and black thing floating there?" just before I smacked my face into that wall. And my vision just gets blurry without glasses, I'm not extremely worse off without glasses.
Dorms are awful places to try and sleep. So long as you don't move into a large building with many multiple-room apartments that is known for parties, you should be set. If you move into a place with singles and two or three bedrooms, you may never hear anything.
Mathlab is free and awesome. It's inside Van Vleck. The link isn't working right now because the DoIT-controlled servers are down, but here it is anyway. They help with 221 and many other lower-level classes. It's hosted by one or a few TA's teaching one of the various classes.
A useful note: Try going on different days. If one person can't help you, there may be another TA who can.
Also, go to your TA's office hours. I had one I couldn't understand when he was teaching the whole class, but apparently 1 on 1 he was very helpful. I could have had a much better grade by just going to his office hours and asking for some help.
Your Mario Bros playlist is ordered "backwards," by which I mean if I want to go to the next video using the Autoplay playlist functionality, I have to hit previous to see the next video. This can be very annoying because hitting the button once will just reset the video, and hitting it a second time actually changes to the next video. Then you accidentally hit it three times and you go too far, etc. Your flappy bird playlist looks to be done properly.
I'll definitely be watching this, as I've wanted to learn LibGDX for a while. Great videos! | 677.169 | 1 |
Algebra
AlgebraThis textbook covers:The Building Blocks of Algebra --...
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This textbook covers:
The Building Blocks of Algebra -- Real Numbers, Exponents, Scientific Notation, Order of Operations, Working with Polynomials, Factoring, Rational Expressions, Radical Notation and Exponents, Basics of Equation Solving
Systems of Equations and Matrices -- Systems of Equations in Two Variables, Systems of Equations in Three Variables, Matrices, Matrix Operations, Inverses of Matrices, Determinants and Cramer's Rule, Systems of Inequalities and Linear Programming, Partial Fractions
Conic Sections -- The Parabola, The Circle and the Ellipse, The Hyperbola, Nonlinear Systems of Equations and Inequalities to your Bookmark Collection or Course ePortfolio
Select this link to close drop down of your Bookmark Collection or Course ePortfolio for material Algebra
Select this link to open drop down to add material Algebra to your Bookmark Collection or Course ePortfolio | 677.169 | 1 |
Provides a comprehensive, coherent and practical presentation of Riemann Solvers and Numerical methods. Designed to provide an understanding of the basic concepts, the underlying theory, and the required information of the practical implementation of these techniques. | 677.169 | 1 |
Building a Better Path to Success!
Connecting Knowledge – Sherri prepares her students for success by refreshing their knowledge of arithmetic. By helping students see the connection between arithmetic and algebra, Sherri found that her students were more confident in their abilities as they progressed through the course. This classroom tested practice was integrated into the texts so that both instructors and students could benefit. Messersmith accomplishes this by including arithmetic examples for most sections before the use of algebraic examples. Also, the author has developed through classroom use a series of Basic Skills Worksheets that can easily be integrated into the classroom. Presenting Concepts in "Bite Size" Pieces – By breaking down the sections into manageable pieces, the author has identified the core places where students traditionally struggle and then assists them in understanding that material to be successful moving forward. Mastering Concepts - With the textbook and Connect Mathematics hosted by ALEKS, a new online homework and assessment tool, students can practice and master their understanding of algebraic concepts. Messersmith is rigorous enough to prepare students for the next level yet easy to read and understand. The exposition is written as if a professor is teaching in a lecture to be more accessible to students. The language is mathematically sound yet easy enough for students to understand.
REVIEWS for Beginning and Intermediate Algebra | 677.169 | 1 |
Mathematical analysis is fundamental to the undergraduate curriculum not only because it is the stepping stone for the study of advanced analysis, but also because of its applications to other branches of mathematics, physics, and engineering at both the undergraduate and graduate levels.
This self-contained textbook consists of eleven chapters, which are further divided into sections and subsections. Each section includes a careful selection of special topics covered that will serve to illustrate the scope and power of various methods in real analysis. The exposition is developed with thorough explanations, motivating examples, and illustrations conveying geometric intuition in a pleasant and informal style to help readers grasp difficult concepts.
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Synopsis
How to Dazzle at Algebra by Beryl Webber, Jean Haigh
How to Dazzle at Algebra contains 43 photocopiable ideas for use with Key Stage 3 (KS3) SEN pupils who are working at levels 2 or 3 of the National Curriculum. The tasks are varied and teach pupils to understand algebra. The precise rules and conventions required for the understanding of algebra are emphasized throughout the book. | 677.169 | 1 |
What's a Numerical Method ?•Many math problems cannot be solved analytically (exactly)•Numerical methods are approximate techniques•Real-life problems in science and engineering require these numerical techniques•Real world problems can take hours, days, or years to solve. A well written computer program (in MATLAB for example) can do it much faster.
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infocobuild
Math E-102 - Sets, Counting, and Probability
Math E-102 - Sets, Counting, and Probability (Fall 2005, Harvard Extension School). Instructor: Professor Paul G. Bamberg. This online math course develops the mathematics needed to formulate and analyze probability models
for idealized situations drawn from everyday life. Topics include elementary set theory, techniques for systematic counting, axioms for probability, conditional probability, discrete random variables, infinite geometric series,
and random walks. Applications to card games like bridge and poker, to gambling, to sports, to election results, and to inference in fields like history and genealogy, national security, and theology. The emphasis is on careful application of
basic principles rather than on memorizing and using formulas. | 677.169 | 1 |
Higher Algebra
ISBN 9789351414926
ISBN-10
9351414922
Binding
Paperback
Edition
4th
Number of Pages
520 Pages
Language
(English)
Subject
Algebra
Higher Algebra is a comprehensive book for high school studentsha. The book comprises of chapters on ration, proportion, arithmetical and geometrical progression, harmonic progression, scales of notation, permutations and combinations, partial fractions, theory of numbers, determinants. In addition, the book consists of several solved and unsolved questions for through practice and revision.
About Arihant Publications
Arihant Publications is one of the leading publishers of India. They publish a plethora of books ranging from academic to books for competitive and entrance exam preparation. They have authored and published books like CBSE Biotechnology Chapterwise Question-Answers: Previous Years' Questions, 2012 - 2006 (Class - 12), JEE Main 2014 Chemistry in Just 40 Days, etc | 677.169 | 1 |
Math I/Algebra I Semester Long Project
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3.21 MB | 56 pages
PRODUCT DESCRIPTION
THE HOUSE PROJECT is a semester long summative project that encompasses the majority of Common Core Math 1 (Algebra 1) Standards. Topics covered during this project include: polynomials, literal equations, statistics, the midpoint and distance formulas, scale drawings, linear/exponential/ and quadratic functions, line of best fit/correlation coefficient, parallel and perpendicular lines, linear programming, volume, area and perimeter, domain and range, radicals, systems of equations, equivalency, translating coordinates on the coordinate plane, unit conversions, percentages, embedded formulas, comparing functions and more.
This real life 34 question project promotes critical thinking and making mathematical connections.
Included in the zip file folder you will find:
+PDF file that contains a descriptive summary of the project, a list of non-academic (real-world) vocabulary that is included in the questions, the blue print of the house, the project itself, the solutions, a scanned copy of a Geometer's Sketchpad file of the house, rubrics and expectations.
+Microsoft Word Documents of everything listed above except for solutions and Geometer's Sketchpad file.
+Geometer's Sketchpad file so that you can see the house drawing in color and zoom in and out as needed.
If you have any questions about the house project please email us before purchasing at MATHbyCandaceandApril@gmail.com.
Thank you for your interest | 677.169 | 1 |
The Kenneth May Lectures have never before been published in book form Important contributions to the history of mathematics by well-known historians of science Should appeal to a wide audience due to its subject area and accessibility more...
For the past ten years, alternative loop rings have intrigued mathematicians from a wide cross-section of modern algebra. As a consequence, the theory of alternative loop rings has grown tremendously. One of the main developments is the complete characterization of loops which have an alternative but not associative, loop ring. Furthermore, there is... more...
The series is devoted to the publication of high-level monographs on all areas of mathematical logic and its applications. It is addressed to advanced students and research mathematicians, and may also serve as a guide for lectures and for seminars at the graduate level. more...
Since the end of the 19th century, a number of specialised journals, albeit with a large audience, have regularly included articles on the history of Chinese mathematics, while a number of books on the history of mathematics include a chapter on the subject. Thus, the progressive increase in our knowledge of the content of Chinese mathematics has been... more...
The book analyzes the mathematical tablets from the private collection of Martin Schoyen. It includes analyses of tablets which have never been studied before. This provides new insight into Babylonian understanding of sophisticated mathematical objects. The book is carefully written and organized. The tablets are classified according to mathematical... more...
Universal Algebra has become the most authoritative, consistently relied on text in a field with applications in other branches of algebra and other fields such as combinatorics, geometry, and computer science. Each chapter is followed by an extensive list of exercises and problems. The "state of the art" account also includes new appendices... more...
This unique book is devoted to the detailed study of the recently discovered commutative C*-algebras of Toeplitz operators on the Bergman space over the unit disk. Surprisingly, the key point to understanding their structure and classifying them lies in the hyperbolic geometry of the unit disk. The book develops a number of important problems whose... more... | 677.169 | 1 |
About this item
Comments: May include moderately worn cover, writing, markings or slight discoloration. SKU:978159863290398632903
ISBN: 1598632906
Edition: 1
Publication Date: 2006
Publisher: Course Technology
AUTHOR
Flynt, John P., Meltreger, Boris
SUMMARY
Successful game programmers understand that in order to take their skills beyond the basics, they must have an understanding of central math topics; however, finding a guide that explains how these topics relate directly to games is not always easy. Beginning Math Concepts for Game Developers is the solution! It includes several hands-on activities in which basic math equations are used for the creation of graphs and, ultimately, animations. By the time you finish, you will have developed a complete application from the ground up that allows you to endlessly explore game development scenarios for 2D games. If you have a basic understanding of programming essentials and a desire to hone your math skills, then get ready to take a unique journey that examines what is possible when you combine game development with basic math concepts.Flynt, John P. is the author of 'Beginning Math Concepts for Game Developers', published 2006 under ISBN 9781598632903 and ISBN 15986329 | 677.169 | 1 |
only objection I have is to anytime I've used PhotoMath on my algebra homework, it did something completely different that what we learned that day. maybe it was just bugging for me, so you should still try it? . ♕ pinterest// bracecake ♕ | 677.169 | 1 |
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This and Models Serieshelps readers learn algebra by making connections between mathematical concepts and their real-world applications. Abundant applications, many of which use real data, offer students a context for learning the math. The authors use a variety of tools and techniques-including graphing calculators, multiple approaches to problem solving, and interactive features-to engage and motivate all types of learners | 677.169 | 1 |
Product Description:
In a rapidly developing field like Operations Research, its easy to get overwhelmed by the variety of topics and analytic techniques. Paul Jensen and Jonathan Bard help you master the expensive field by focusing on the fundamental models and methodologies underlying the practice of Operations Research.
Bridging the gap between theory and practice, the author presents the quantitative tools and models most important to understanding modern operations research. You'll come to appreciate the power of OR techniques in solving real-world problems and applications in your own field. You'll learn how to translate complex situations into mathematical models, solve models and turn models into solutions. This text is designed to bridge the gap between theory and practice by presenting the quantitative tools and models most suited for modern operations research. The principal goal is to give analysts, engineers, and decision makers a larger appreciation of their roles by defining a common terminology and by explaining the interfaces between the underlying methodologies.
Features
Divides each subject into methods and models, giving you greater flexibility in how you approach the material.
Concise and focused presentation highlights central ideas.
Many examples throughout the text will help you better understand mathematical material.
REVIEWS for Operations Research Models and | 677.169 | 1 |
— RWM101: Foundations of Real World Math —
Course Introduction
"Why is math important? Why do I have to learn math?" These are typical questions that you have most likely asked at one time or another in your education. While you may learn things in math class that you will not use again, the study of mathematics is still an important one for human development. Math is widely-used in daily activities (e.g. shopping, cooking, etc.) and in most careers (e.g. medicine, teaching, engineering, construction, business, statistics in psychology, etc.). Math is also considered a "universal language." One of the fundamental reasons why you learn math is to help you tackle problems, both mathematical and non-mathematical, with clear, concise, and logical steps. In this course, you will study important fundamental math concepts.
This course begins your journey into the "Real World Math" series. These courses are intended not just to help you learn basic algebra and geometry topics, but also to show you how these topics are used in everyday life. In this course, you will cover some of the most basic math applications, like decimals, percents, and even the dreaded "f-word," fractions. You will not only learn the theory behind these topics, but also how to apply these concepts to your life. You will learn some basic mathematical properties, such as the reflexive property, associative property, and others. The best part is that you most likely already know them, even if you did not know the proper mathematical names.
Let's start with fractions. Have fractions ever been bothersome to you? Do you think that there is no purpose for them? In this course, you will learn that fractions are all around us in the forms of measurement, ratios, and proportions-and we think you might change your tune on the subject. You will see how to solve those sometimes troubling fraction problems, like the ones that use 1 2/3 and 3 1/5, which don't divide as evenly as you'd like. In case you're not yet familiar with fractions, let's offer a common every day example: a recipe for making chocolate chip cookies. You see a recipe that calls for 2 1/3 cups of flour, 3/4 cup of sugar, and 1/2 teaspoon of vanilla, and you need to make 2 1/2 times the recipe amount. Each of these measurements involves fractions. If you want to make the right amount of cookies, you have to determine how much you need of each ingredient.
This course will also introduce you to decimals and percentages, which are widely used in money, finances, and measurement. Decimals are all around you, including when you download applications for your smart phone. Say, for example, you've just purchased the newest Angry Birds application for $0.99. The number 0.99 is a decimal. If you want to spend no more than $10.00, then you will have to determine how many other applications you can download without going over budget. In this course, you will learn how to solve complex decimal problems, such as 13.4561 - 21.03 and 301.21 x 140.31.
You will also learn to write ratios and solve proportions in the course. You are probably already very familiar with ratios, even if you're not aware of it. A recipe that calls for "2 parts milk to 1 part flour," or a speed limit sign that reads "55 miles per hour," or a newspaper ad listing apples at a cost of $2.99 per pound -- these are all examples of ratios. Ratios and proportions are particularly useful when doing an everyday activity like planning a party: "If I need two hams for nine guests, how many hams will I need for thirty guests?" Learning how to set up and solve problems like this is a very useful mathematical concept that is applicable to real life situations.
Finally, have you wondered how graphs and charts are created with certain data? Data can be visually represented in various forms (bar graphs, circle graphs, etc.) to convey information to a reader. In this course, you will see data in common forms and will have to interpret data (for example, reading a chart of the most downloaded songs from iTunes or interpreting football statistics for your fantasy league). The final unit of the course pertains to charts and graphs and includes the interpretation and creation of various charts and graphs.
Just as in life, there are certain things in math that make you shrug and say, "Well, duh. I knew that; it's common sense." This unit will discuss some of the basic algebraic properties which you already know, but may not necessarily know the names of, because they are what some math teachers refer to as the "common sense" properties.
The really neat thing about these properties is that you can see their uses in everyday, non-mathematical ways. For example, if you drive to work, you "commute." Whether you are driving to work from home, or to home from work, you are making the same trip. (Ignoring those times you take a back road because you do not want to spend two hours sitting on the interstate, of course!) In math, the commutative property tells us when we can move numbers around and still get the same answer. Another example is the associative property. The people you hang out with are also known as your "associates." If you are hanging out with two friends, but one of them is in a different room, you still have the same group of friends. The same applies to certain mathematical situations. If you are grouping numbers, depending upon the situation, the grouping is not going to change anything.
In life, we often have procedures that everybody uses to avoid problems. When driving a car, for example: if you want to change lanes, you have to first look to make sure the lane is clear, activate your turn signal, check the lane again, move into the lane, and deactivate your turn signal. You do not move into the lane, activate your signal, make sure the lane is clear, and deactivate your signal. That can, and eventually will, cause a serious accident. In order to avoid costly errors, mathematicians had to agree on the series of steps that are needed to simplify expressions involving the four basic operations, grouping symbols, and exponents. This series of steps is known as the "order of operations" and is more commonly known as either PEMDAS or "Please Excuse My Dear Aunt Sally, she Left to Right." This tells us in which order to simplify the expression. (Tip: it is multiply OR divide and add OR subtract - whichever you see first.)
Mathematicians also needed a way to quickly write out a repeated multiplication problem, like 2 x 2 x 2 x 2 x 2, so they invented the use of exponents. This unit will introduce you to the process of working with basic exponents. As you go higher, you will learn more about exponents.
Another topic you will learn about in this unit is the concept of "greatest common factor." Mathematically, the greatest common factor (GCF) is the largest number you can divide two or more numbers by. In real life, it also makes appearances, both mathematical and non-mathematical. A detective trying to make connections between an arrested criminal and a suspected accomplice is going to be less interested in the facts that they have both eaten at McDonald's and both like strawberry milkshakes than in the fact that the suspected accomplice has been the criminal's best friend for twenty years. That fact is far greater to the investigation.
The last topic you will cover is related to greatest common factor but is different. It is known as "least common multiple." Here, you are trying to determine the smallest number that two numbers can both divide into. Again, it appears in life. Let's say your favorite radio station is running a promotion: every fifth caller receives free concert tickets, and every twelfth caller receives a free gas card. How long will it take before they have a caller who receives both prizes on the same phone call? This is an example of using the least common multiple. (In case you are wondering, it would be the 60th caller who won both prizes.)
Fractions are very easy to work with if you learn the rules. After all, fractions are everywhere.
Have you ever eaten a Hershey's chocolate bar? It is conveniently broken up into little pieces, allowing you the option to devour in big bites or to savor tiny little morsels. Let's say you have a Hershey's bar sitting on your dining room table. Your oldest child cheerfully announces that she has eaten half of the bar, and her younger brother has eaten a quarter of the bar. If you know how to work with fractions, you can quickly calculate how much of the bar is left.
Fractions appear in many other situations such as sale prices, measurements, money, gardening; the list of applications is virtually endless. In this unit, you will learn to work with fractions. You will learn how to reduce them, how to add/subtract/multiply/divide them, and how to apply them to real-world situations.
In this unit, you will turn your attention to the "fraternal twin" of fractions: decimals. Yes, decimals are really just fractions in disguise! Who knew? For example, look at (American) money. A dollar is 100 cents; a quarter is 25 cents, or in decimal form, $0.25. The fraction 25/100 reduces to 1/4, which is read as "one-quarter." Decimals are fractions, and fractions are decimals. It's all in how you write them.
Decimals are everywhere, just like fractions. You cannot go shopping without encountering decimals. Whether you are adding up totals on your shopping list, calculating your change, or even just measuring the length of something, you will use decimals. If you add up all your purchases, find that your total comes to $17.31, and you hand the cashier $20, you need to know how to determine your change to make sure the cashier gives you back the correct amount of money. If you are measuring the length of your wall in order to fit a couch there, you might find that the wall's length is in between two lengths, measuring at, say, 11.5 ft. You have to know how to deal with decimals to approximate distances.
In this unit, you will learn how to add/subtract/multiply/divide decimals as well as how to convert between fraction and decimal form.
In this unit, you will study ratios and proportions. These are mathematical concepts you use all the time, probably without even realizing it. Have you ever been in line at a donut store, comparing the number of chocolate donuts to the number of customers? That's a ratio. Perhaps you are telling your vet how many times a week your dog drags you outside for an extended walk. That's also a ratio. Have you ever been driving on a trip, going around 75 mph, and wanted to know how long it would take to reach your destination, which was only 35 miles away? You would find the answer using a proportion. In sports, statisticians use proportions to predict an athlete's production, based on what they've done up to that point. In this unit, you will learn how to write ratios, how to set-up and solve proportions, and how to apply these skills to real-world experiences.
In this course, you have already studied fractions and decimals. In this unit, you will study the other "fraternal twin" of fractions: percents, which are actually fractions and decimals in disguise. (Perhaps we should call them "fraternal triplets.") Going back to our example with decimals: we established that a dollar is 100 cents, a quarter is 25 cents, and the fraction form would be 25/100, which reduces to 1/4. A percentage is simply a fraction whose denominator is 100. Therefore, 25/100 becomes 25%. Because it is also 0.25, the percent is a fraction which is a decimal, which in turn is a percent. It's the Circle of Math. (Cue music from "The Lion King.")
Percents appear all over the place in life, especially when it comes to buying products. If you are considering whether to buy clothes at one store that has a sale with 65% off or a second store that has a sale with 50% off and an additional 15% discount off the sale price, you might be surprised to learn that the two sales are not the same. For those who follow the stock market, you might see the news talking about how your stock has had an increase of 70%. What does that mean?
In this unit, you will learn the rules of percentages and how to apply them. You will learn to convert percentages to and from fractions and decimals. You will learn about percent increase and decrease, which comes into play when you are out shopping. You will also learn (to the delight of shoppers everywhere) exactly how to calculate sale prices, restaurant tips, and other similar items.
The list of available graph and chart applications is endless. You may have seen applications such as trying to understand voting trends and demographics for presidential campaigns and elections. Or, a business may require graphs and charts to forecast employment growth for a specific time period. Or, you may belong to a fantasy football or baseball team, and you may need to analyze the history of points that players have against certain teams as well as other statistics. In reading a news article that provides a chart, you may want to determine what information the chart provides. Using graphs and charts is a way to convey data that is easy to understand for a specific audience. Knowing how to read and interpret these items is of utmost importance in life, because charts and graphs can be manipulated to misrepresent the data.
This unit discusses various topics when using graphs and charts in mathematics. For each type of graph in the unit, you will need to create a graph as well as interpret the results of this type of graph. You will learn to create charts and graphs (stem-and-leaf plots, line graphs, bar graphs, box-and-whisker plots, circle or pie graphs, and pictographs), read charts, and work with the measures of central tendency for a data set. | 677.169 | 1 |
Synopses & Reviews
Publisher Comments
This book presents the fundamental numerical techniques used in engineering, applied mathematics, computer science, and the physical and life sciences in a way that is both interesting and understandable. Using a wide range of examples and problems, this book focuses on the use of MathCAD functions and worksheets to illustrate the methods used when discussing the following concepts: solving linear and nonlinear equations, numerical linear algebra, numerical methods for data interpolation and approximation, numerical differentiation and integration, and numerical techniques for solving differential equations. For professionals in the fields of engineering, mathematics, computer science, and physical or life sciences who want to learn MathCAD functions for all major numerical methods.
Synopsis
For one/two-semester undergraduate or beginning graduate-level courses in computer and mathematical methods, numerical methods, or numerical analysis. This text presents the fundamental numerical techniques used in engineering, applied mathematics, computer science and the physical and life sciences in a way that is both interesting and understandable to students in those fields. The organization of the chapters and of the material within each chapter, the use of MathCAD functions and worksheets to illustrate the methods and the exercises provided are all designed with student learning as the primary objective.
Description
Includes bibliographical references (p. 667-672) and indexes.
Table of Contents
1. Foundations.
Sample Problems and Numerical Methods. Some Basic Issues. Getting Started in Mathcad. | 677.169 | 1 |
From: <Saved by Windows Internet Explorer 7> Subject: What does it take to learn algebra? First you have to master the fundamentals Date: Wed, 26 Mar 2008 14:42:34 -0700 MIME-Version: 1.0 Content-Type: text/html; charset="Windows-1252" Content-Transfer-Encoding: quoted-printable Content-Location: X-MimeOLE: Produced By Microsoft MimeOLE V6.00.2900.3028 X <!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.0 Transitional//EN"> <HTML><HEAD><TITLE>What does it take to learn algebra? First you have to = master the fundamentals</TITLE> <META http-equiv=3DContent-Type content=3D"text/html; = charset=3Dwindows-1252"> <META content=3D"MSHTML 6.00.5730.11" name=3DGENERATOR></HEAD> <BODY text=3Dblack vLink=3Dnavy aLink=3Dred link=3Dblue bgColor=3Dwhite> <H2>What does it take to learn algebra? First you have to master the=20 fundamentals</H2> <P>By Karin Klein<BR>The Los Angeles Times<BR>February 4, 2006=20 <P><BR> <P>JOHNNY PATRELLO was a greaser. I was a dork. And yet, despite our = rigidly=20 stratified school culture, we came together in the spring of 1968 at = Walt=20 Whitman Junior High School, where I tutored Johnny in algebra.=20 <P>I thought about Johnny again as I read The Times' series this week on = L.A.'s=20 dropout problem. Algebra, the reporters found, is an insurmountable = stumbling=20 block for many high school students.=20 <P>What struck me was that the reasons why Johnny can't do algebra in = L.A. today=20 are remarkably similar to why Johnny Patrello couldn't do algebra almost = four=20 decades ago in Yonkers, N.Y.=20 <P>Johnny and I were brought together by Mrs. Elizabeth Bukanz, the = algebra=20 teacher. Mrs. Bukanz wore her sandy hair in a frizzy French twist and = her=20 glasses on a chain. But she was gentle and smiling, and she had passion =- at=20 least for what she called "the beauty of algebra." I, too, loved its = perfect=20 logic and tidy solutions, so unlike my messy teenage life.=20 <P>But Johnny was deaf to algebra's siren song. He was flunking, and = Mrs. Bukanz=20
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It has been long time since I finished my last book. In February 2010 I started a new writing project. This is a new book, this time Mathematica tutorial for students and mathematics teachers in Poland. We all know how great is Mathematica, but we also know that all Mathematica books and texts based on Mathematica are rather bulky and we very often we do not have time to go through hundreds of pages with detailed description of Mathematica secrets. Therefore, we all need a brief Mathematica tutorial book that will show us the most important features of the program and how it can be used for solving and visualizing mathematics problems in high school or at the university. This is the first objective of my new book – to present major features of Mathematica, those that we desperately need for our maths classes.
For many of us in Poland an additional problem is the language. Many teachers and students can understand simple English, but how many can understand technical terminology? Therefore, the second objective of this book is to be available for Polish users of Mathematica.
I use for this book so called Mathematica for the Classroom, a product from Wolfram Research that was designed specifically for undergraduate mathematics education – high schools and beginning of university. The text will cover only the most important features of the program to such extend that everybody will be able to start using Mathematica by reading first chapter of the book and then proceed with specific topics reading the remaining chapters. The book will concentrate on mathematical visualization (2D and 3D mathematical graphs, animation), applications of Mathematica to calculus, algebra and some other sections of undergraduate mathematics, an optional chapter will cover programming in Mathematica. | 677.169 | 1 |
Helps students see mathematics as an organic whole by focusing on the geometric while presenting viewpoints and methods that require a general understanding and unification of previous mathematical backgrounds. Develops basic metric topological methods and algebraic needs. Reviews vector character of Euclidean n-space and familiar facts from linear algebra; concepts relevant to convex body theory; and the affine character of the space and the analogy between linear and affine concepts. Explains how n-dimensional convex bodies and surfaces of Euclidean n-spaces are identified and how basic properties are established, showing how to express fundamental concepts accurately and how to verify intuitive relations analytically in space of general dimensions. Also contains a selection of standard fundamental theorems. Excellent preparation for further study of convexity theory, optimization theory, or basic analysis, topology, and geometry | 677.169 | 1 |
A beautiful and relatively elementary account of a part of mathematics where three main fields - algebra, analysis and geometry - meet. The book provides a broad view of these subjects at the level of calculus, without being a calculus book. Its roots are in arithmetic and geometry, the two opposite poles of mathematics, and the source of historic conceptual conflict.
In recent years, many students have been introduced to topology in high school mathematics. Having met the Mobius band, the seven bridges of Konigsberg, Euler's polyhedron formula, and knots, the student is led to expect that these picturesque ideas will come to full flower in university topology courses. | 677.169 | 1 |
In The Shapes of Algebra, students will explore the relationship between algebra and geometry. Through this exploration, students will work with equations for lines and curves, and will develop an understanding of how systems of equations and inequalities can help solve problems. Students extend their earlier work in algebra and geometry by making connections between them. For example, students connect the idea of the Pythagorean Theorem to the coordinate equation for a circle, and connect properties of polygons to slopes of lines.
========== Upload the cover picture to OUR server in future, please! See the manual in the HELP. decabristka | 677.169 | 1 |
Designed for use in a second course in circuit analysis, this text engages a full spectrum of circuit analysis related subjects ranging from the most abstract to the most practical. This is not a math text. However, the differential equations and Laplace transformation material presented in this text is adequate for the derivation of pertinent relations and there is no need to refer to advanced math texts. Featured are methods of expressing signals in terms of the elementary functions, an introduction to second order circuits, and several examples of analyzing electric circuits using Laplace transformation methods. Though not written explicitly to be used with MATLAB, this text provides many useful tips and strategies for MATLAB, allowing students to get the most out of the popular program. All of the information provided is designed to be covered in one semester or two quarters | 677.169 | 1 |
I find myself sometimes going through a topic and not understanding basic concepts required for that, and then having to go back and search for it myself, sometimes not finding what I need. Other times Khan will reference a "previous video" when there isn't any other videos before it. I think this would be a significant improvement and would be very helpful for many people.
Some other suggestions:
I'd like to be able to "save for later." Sometimes I come across a video or topic that I'd like to go over later, but the only way AFAIK is to just bookmark the URL or search for it again.
Adding to that, I'd like to be able to create my own custom study guides. Example, you have an upcoming test. You know what skills/topics are required for it. It'd be great if we could create a "New Study Guide," have some type of checkbox for those skills/topics, and then upon selecting and saving it will add all of the videos/tests on those skills. It'd be much easier than just manually searching for each one on your own.
Related to the last one above, it would be nice for the progress to reset, only under the study guide, or even just a simple checkmark to indicate completion. Once you view a video it's shown that you've already seen it, completed a test, etc. However, when you want to go back and review those videos/tests again, there isn't really a way to monitor your progress again. If that's not possible, even showing weaknesses/strengths(similar to what the reports that instructors get I believe) would be useful.
Polynomial long division isn't an area that we have exercises in yet. However, for subjects we do have related skills for you'll see them right next to the videos on the left side of the page -- here's an example:
I understand about the related videos and exercises that are listed under the same topic, however that is not quite what I meant.
For instance, with algebraic long division, you will be lost unless you understand the simple concepts of standard arithmetic long division. Ideally people shouldn't skip ahead, but that's not plausible for college students who are thrown back into things. | 677.169 | 1 |
-- speed of light, strength of gravity at Earth's surface, etc. etc. etc. Tapping on a constant will insert it into your calculation --6) Help screens linked directly to many of the available functions and constants. Tap the disclosure arrow to see the definition.
7) Forgot the quadratic formula? Or the double-angle formulas for sine and cosine? The math/science reference hits the high points of various subjects. Currently includes algebra, differential and integral calculus, geometry, trigonometry, vectors, vector calculus, and classical mechanics.
8) Keep track of significant figures [AKA sig figs]
9) Statistics -- enter data and make a histogram, box and whisker plot, or scatter plot with optional regression line.
If you are viewing this in iTunes, you will see five iPhone screenshots and five iPad screenshots. But even ten shots don't come close to showing everything this calculator can do.
I'd love to hear your comments or suggestions. You can write me at mathscixyzgraphcalc@gmail.com -- but without the xyz. Thanks | 677.169 | 1 |
Interpolation by J. F. Steffensen
Book Description
In the mathematical subfield of numerical analysis, interpolation is a procedure that assists in "reading between the lines" in a set of tables by constructing new data points from existing points. This rigorous presentation includes such topics as displacement symbols and differences, divided differences, formulas of interpolation, much more. 1950 | 677.169 | 1 |
UAF Core Curriculum in Mathematics
The goals of the mathematics core curriculum are to ensure that students develop basic numeracy skills, are able to employ problem solving strategies, can communicate mathematical concepts, and are able to construct and evaluate mathematical arguments.
New guidelines have been developed for all core math courses starting Fall 2014. Instructors can find information about syllabus structure, required topics, timing, and assessment criteria | 677.169 | 1 |
Algebra
Algebra is the way Islamic mathematicians figured out to connect our ideas about geometry with our ideas about numbers. You can use equations to represent geometric shapes. You can also use equations to represent the movement of numbers (or real objects like trains) through time or space.
Equations can also have two variables. These look like y = 2x + 1 or x = 4y - 12. These equations also define a straight line, but the line can be tilted in various ways, and can move up or down, to the left or to the right.
What if the line you want to talk about isn't straight, but curvy? Quadratic equations help you to define a curved line. They look like y = x2 or x = 8y3 + 16.
These equations each define one particular line, but you can also use algebra to describe a whole set of lines that are all in the same category. We call simple categories algebraic groups, and more complicated kinds of groups are called rings and fields.
Does your class page honor diversity, celebrate feminism, and support people of color, LBGTQ people, and people with disabilities? Let us know, and we'll send you a Diversity Banner you can proudly display! | 677.169 | 1 |
Scientific Computing presents a broad overview of numerical methods and software for students and professionals in computational-oriented disciplines who need to solve mathematical problems. This clear, well-written text is particularly useful for students of engineering, computer science, and the sciences who want to learn which techniques (and software) are appropriate to use in problem solving.
This introductory book directs the reader to a selection of useful elementary numerical algorithms on a reasonably sound theoretical basis, built up within the text. The primary aim is to develop algorithmic thinking-emphasizing long-living computational concepts over fast changing software issues.
Scientific computing is the study of how to use computers effectively to solve problems that arise from the mathematical modeling of phenomena in science and engineering. It is based on mathematics, numerical and symbolic/algebraic computations and visualization. | 677.169 | 1 |
same content as the traditional text in a convenient, three-hole-punched, loose-leaf version. Books a la Carte also offer a great value–this format costs significantly less than a new textbook.In Thinking Mathematically, Sixth Edition, Bob Blitzer's distinctive and relatable voice motivates students from diverse backgrounds and majors, engaging them in the math through compelling, real-world applications. Understanding that most students in a liberal arts math course are not math majors, and are unlikely to take another math class, Blitzer has provided tools in every chapter to help them master the material with confidence, while also showing them the beauty and fun of math. The variety of topics and flexibility of sequence make this text appropriate for a one- or two-term course in liberal arts mathematics or general education mathematics. | 677.169 | 1 |
Algebra 1: Predicting Patterns & Examining Experiments, which received a rating of 3-Exemplary in the Curriki Review System and which you can see here:
Lasting Ideas & Results:
An underlying philosophy of this curriculum is the avoidance of over-
de?ning every problem and allowing students to struggle and desire de?nitions and the
minutiae afterwards, while presenting them with difficult assessment-level problems at the
beginning and digging deep with those problems (as opposed to building up small,
disconnected skills to reach the goal of tough problems at the end). Start with difficult
problems, see if students can guess and check towards solutions and then notice patterns
and generalize. Play. | 677.169 | 1 |
Pearson Debuts Interactive NovaNET Geometry
Pearson has launched a new online geometry course for its NovaNET 15.0 service targeted toward students in grades 6 through 12 and adult education.
Person's NovaNET is an online, standards-based courseware system designed for middle- and high-school students. Aligned to the 2007 Prentice Hall Geometry textbook, the new NovaNET Geometry course includes 77 multimedia lessons and includes instructional strategies for each. Additional features include:
Interactive practices;
Feedback and remediation;
Ongoing, formative and summative assessments for each lesson; and
Support for special needs students, including struggling readers.
According to Pearson, the previous geometry course remains available, but the new version is designed for split-semester geometry schedules divided into Geometry A and B | 677.169 | 1 |
Excel for the Math Classroom by Bill Hazlett
Book Description
This guide to enabling middle-grade mathematics teachers to use Microsoft Excel in the classroom focuses primarily on concepts taught in grades 4--10, with some pre-algebra lessons for higher grades. Including files available for downloading to create custom math worksheets, build self-grading interactive spreadsheets, and use Excel to demonstrate charts and Cartesian math, this handbook provides fun examples of probability, solving equations, magic squares, and compound interest.
Buy Excel for the Math Classroom book by Bill Hazlett from Australia's Online Bookstore, Boomerang Books.
Author Biography - Bill Hazlett
Bill Hazlett is a mathematics instructor at the University of Akron who taught for 30 years at both middle and high schools in the areas of industrial arts, mathematics, and computers. He lives in Akron, Ohio. Bill Jelen is an Excel expert at a regular on TechTV Canada's "Call for Help," and a video podcaster who is regularly listed in the iTunes top 50. He is the author of "Excel Gurus Gone Wild," "Pivot Table Data Crunching," and 14 titles in the Excel for Professionals series. He lives in Akron | 677.169 | 1 |
the Liberal Arts or Survey of Mathematics course, this straightforward, non-technical introduction to mathematics shows students how to think like mathematicians. The text focuses on the "four faces of mathematics"-solving problems, finding order, building models, and abstracting from the familiar-that form the four parts of the text. | 677.169 | 1 |
Combinatorics deals with simple combinatorial problems, recurrence relations, and generating functions, particularly the binomial expansions. The book expounds on the general rules of combinatorics, the rule of sum, the rule of product, samples, permutations, combinations, and arrangements of subjects with various restrictions. The text also explains... more...
Introduction to Asymptotics and Special Functions is a comprehensive introduction to two important topics in classical analysis: asymptotics and special functions. The integrals of a real variable are discussed, along with contour integrals and differential equations with regular and irregular singularities. The Liouville-Green approximation is also... more...
The aim of this book is to introduce a range of combinatorial methods for those who want to apply these methods in the solution of practical and theoretical problems. Various tricks and techniques are taught by means of exercises. Hints are given in a separate section and a third section contains all solutions in detail. A dictionary section gives... more...
Applications of Group Theory to Combinatorics contains 11 survey papers from international experts in combinatorics, group theory and combinatorial topology. The contributions cover topics from quite a diverse spectrum, such as design theory, Belyi functions, group theory, transitive graphs, regular maps, and Hurwitz problems, and present the state-of-the-art... more...
A mathematical gem–freshly cleaned and polished This book is intended to be used as the text for a first course in combinatorics. the text has been shaped by two goals, namely, to make complex mathematics accessible to students with a wide range of abilities, interests, and motivations; and to create a pedagogical tool, useful to the broad... more...
The leading reference on probabilistic methods in combinatorics-now expanded and updated When it was first published in 1991, The Probabilistic Method became instantly the standard reference on one of the most powerful and widely used tools in combinatorics. Still without competition nearly a decade later, this new edition brings you up to speed... more...
A unique approach illustrating discrete distribution theory through combinatorial methods This book provides a unique approach by presenting combinatorial methods in tandem with discrete distribution theory. This method, particular to discreteness, allows readers to gain a deeper understanding of theory by using applications to solve problems. The... more...
Includes proof of van der Waerden's 1926 conjecture on permanents, Wilson's theorem on asymptotic existence, and other developments in combinatorics since 1967. Also covers coding theory and its important connection with designs, problems of enumeration, and partition. Presents fundamentals in addition to latest advances, with illustrative problems... more... | 677.169 | 1 |
Basic Abstract Algebra
ISBN 9780521545488
ISBN-10
052154548X
Binding
Paper Back
Edition
2nd
Number of Pages
508 Pages
Language
(English)
Subject
Algebra
Basic Abstract Algebra 2nd Edition is a comprehensive book for students doing their B.Sc in Mathematics. The book comprises of several examples that are fully worked out, and many problems for practice that, on solving, help students get a better understanding of the subject. It is essential for Math students during their 3rd year.
About P. B. Bhattacharya
P.B.Bhattacharya is an Indian writer who has helped co-author this book.
About S. K. Jain
S. K. Jain is an Indian writer who has helped co-author this book.
About S. R. Nagpaul
S. R. Nagpaul was a visiting professor of Mathematics at the University of Ohio from 1983-1984, and later from 1999-2004. He has co-authored one other book: Linear Algebra. Nagpaul has received his PhD from Harvard University.
He used to be the Head of the Department of Mathematics at Stephens College, Delhi. His special interest lies in Discrete Mathematics | 677.169 | 1 |
This article reports on an exploratory study designed to investigate the reasoning behind algebraists' selection of examples. Variation theory provided a lens to analyze their collections of examples. Our findings include the classes of examples of groups and rings that algebraists believe to be most pedagogically useful. Chief among their selection criteria was that these examples illustrate not only the concept at hand but also lay the foundation for more abstract constructions. Additionally, we found that the algebraists, tending to think in terms of classes of examples, used a relatively small number in their own teaching and research. | 677.169 | 1 |
Overview
the leading text for this approach. In Mathematics for Elementary Teachers with Activities, students engage, explore, discuss, and ultimately reach a true understanding of mathematics.
The Fourth Edition provides a new full-color design, making the math come alive. For the first time, the content and activities are combined into the same text, creating a self-contained resource for this course and beyond. Common Core State Standards are integrated to complement the National Council of Teachers of Mathematics (NCTM) Focal Points and Standards that appear where appropriate. New From the Field features highlight the latest research, Integrating Mathematics and Pedagogy (IMAP) videos (available separately), children's literature, views from the classroom, and lesson planning to prepare future teachers for their teaching careers.
STUDENTS BEWARE!!! if you rent this book, you will not receive the MyMathLab - Access Card code as advertised in the TITLE and the OVERVIEW. Unfortunately, we did not read the rental guidelines, which does state that you will not receive the media that is advertised with the book. Shame on us for not going to another page and reading the fine print. Shame on Barnes and Noble for advertising a book that includes in the description "Plus MyMathLab - Access Card Package", but does not actually provide this to rentals. What good does it do a student to rent the book if they don't have the Access Code? No good whatsoever!! | 677.169 | 1 |
Complex Numbers
Course: MAT8100I
Students explore complex numbers in rectangular form. They add, subtract, multiply, divide and graph numbers in rectangular form. Students learn to write complex numbers in polar and exponential forms. This module can be taken by itself or it can be combined with other modules. | 677.169 | 1 |
Rusty on math? This workbook is designed to build a strong foundation in the math skills essential for success on the GMAT: arithmetic, algebra, and geometry.
HOW TO USE THIS BOOK
Kaplan has prepared students to take standardized tests for more than 70 years-longer the GMAT has even been around.
The GMAT is a standardized test, and so, while no two test administrations are identical, they all cover the same content. This is good news for you; it means that the best preparation you can have will focus on the sort of questions you are likely to see on test day. All of the exercises in this book are made up of such questions.
The main focus of this book is on reviewing the math concepts you need to get a good score on the GMAT Strategic reviews, exercises, and practice tests with explanations will help you brush up on math skills you may have forgotten since high school.
If possible, work through this book a little at a time over the course of several weeks. There is a lot of math to absorb, and its hard to do it all at once. Cramming just before the test is not a good idea-you probably wont absorb much information if you pack it in at the last minute. | 677.169 | 1 |
Five activities are presented in this student workbook designed for exploration of a career in computers, and the mathematics related to that career. Included are activities on basic computer language, flow charts, and basic computer programming. Each activity includes the objective, materials needed, and information for completing the activity. Answers to problems presented in the lessons conclude the document. (JH) | 677.169 | 1 |
Lecture: l Math 006 Name:
Duratiou: 30 minutes Quiz 1 ID Number:
WARNING: Cheating is a serious violation of academic integrity. Anyone found cheating on a quiz
or exam will be automatically given a zero for the quiz or exam and additional sanctions ma | 677.169 | 1 |
Physics and Maths Terminology
Hello. First, I'd like to make it clear, I am an IGCSE student who has just finished his board examinations, and is now getting ready to do is AS/A2 levels before pursuing engineering.
I'm trying to do some studying on my own, outside for school, particularly in the fields of Maths and Physics as I want to give an entrance exam for IIT in 2 years, and wish to get into a prestigious college as well as making my studying life in future years a bit easier.
But there is a problem I am encountering when I attempt to study the CBSE style or any other style for Physics and Maths.
I don't understand a bloody thing.
And it's not because I don't get what these books are trying to teach, it is because I just don't get the terminology and the symbols they use. I looked at one tutorial guide here ( and didn't understand any equation he wrote there! For example, what does that weird F and the small e mean? What's with the arrows? What is x supposed to stand for? What about the capital A?
I'll admit that was maybe a bit too advanced a topic for me, but I still encounter that problem when studying basic CBSE physics, especially when it comes to Logorithms. I have no clue what they are!
I'm currently studying trigonometry from scratch CBSE style, in order to understand how they do it so I can proceed with Complex Numbers. The revision book I'm reading from has Complex Numbers ahead of Logorithms, so I think I need to study that before I move onto Logs, but I really have no idea.
So could any helpful (and smart) soul please help me out with like a basic introduction into what all these symbols stand for, and into the workings of stuff like Logorithms and anything else I should know? | 677.169 | 1 |
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PRODUCT DESCRIPTION
This is a great way to start (or end!) a unit on linear functions. I personally use this activity to begin to introduce linear functions (word problems, tables, graphs, and equations) and refer back to these situations during the unit. This can be used as an exploratory activity but could also be used at the end of a unit as a formative assessment. I have included my five-point representation start to show students the multiple ways to represent one linear situation | 677.169 | 1 |
- Your next job will be to complete…Challenge Worksheet number 5.…This worksheet can be found in the exercise files.…In order to complete this worksheet,…you will evaluate the algebraic expressions…by showing substitution…and using the order of operations.…This worksheet may take you about ten minutes.…
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Author
Released
8/4/2015
Pre-algebra is the first step in high school math, forming the building blocks that lead to geometry, trigonometry, and calculus. This course will help you master the basics: from addition, subtraction, multiplication, and division to new types of numbers (integers and negative numbers) and concepts such as the order of operations and distribution.
This course includes practice challenges and worksheets, as well as tips for educators who are helping students master pre-algebra for Common Core. Karin Hutchinson also helps you evaluate, write, and simplify expressions, and solve word problems and complex algebraic expressions. | 677.169 | 1 |
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Unformatted text preview: Math 52 DE Summer 2005 P RACTICE T EST This is Page 0. This test has a format almost identical to what the real tests will look like. It will help you to get accustomed to typing math. We will send you feedback on your typing. Remember, presentation is 10% of the grade. This test will also allow you to do a couple of sample problems from Lecture 2 and Lecture 3 to see how our grading system will work Instructions: (a) Getting the test : Save this test to your hard disk and log off the Internet. Then print a copy of the test. (b) Doing the test : Do all the math problems in pencil or pen on the test paper--just like you would do in an ordinary class. There should be enough space after each problem to write your solution on the test paper. Then type your answers into the spaces in the test file. Please try to type your answers in the space following the questions (and submit the questions along with your answers). (c) For this Practice Test please follow the five hour time limit that will apply to real tests. This time limit includes doing the problems and typing your answers. (d) On the math problems (here and on later tests) be sure to show all your work. The idea is to show enough work that we can follow your train of thought. Remember : The more work you show the more partial credit you will receive: no work = no credit . All the prose text in your answers should be in correctly spelled and punctuated complete sentences. Please recall : Form counts for 10% of your grade....
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This note was uploaded on 04/28/2008 for the course MATH 52 taught by Professor Moses during the Summer '08 term at GWU. | 677.169 | 1 |
Use of Technology
MEI's position on the use of technology
MEI believes that technology should be embedded within the teaching, learning and assessment of mathematics. It aids understanding and enables problems to be addressed that would be impractical or inefficient to tackle without it.
Use of technology in the new A level Mathematics (from 2017)
The subject guidance for A level Mathematics and Further Mathematics (first teaching September 2017) states:
"The use of technology, in particular mathematical and statistical
graphing tools and spreadsheets, must permeate the study of AS and A
level mathematics."
CPD in the use of technology in mathematics
CPD is available in the use of technology in mathematics. If you would like this to be delivered at your school/college or other appropriate venue, please contact MEI's Learning Technologies Specialist to organise a convenient date.
Please use the links below and left to navigate to pages containing more information about the following: | 677.169 | 1 |
1
The Complex Plane
1.1 The Complex Numbers and the Complex Plane
The theory and utility of functions of a complex variable ultimately depend in large
measure on viewing the usual x- and y-coordinates in the plane as separate com-
ponents of a single new
1.1 The Complex Numbers and the Complex Plane 3
Addition, subtraction, multiplication, and division of complex numbers follow
the ordinary rules of arithmetic. (Keep in mind that i2 = — 1, and, as usual, division
by zero is not allowed.) Specifically, if
z
Preface to the First Edition
This textbook is intended for undergraduate or graduate students in science, mathe-
matics, and engineering who are taking their first course in complex variables.
Its only prerequisite is a three-semester course in calculus; n
Preface to the Second Edition
I was gratified by the very positive responses and reviews the first edition of this
text received. Nonetheless, I wished to modify the text or exercises at a number of
points; this second edition is the result. The fundamental
A Note to the Student
This textbook presents an introduction to the theory and applications of complex
variables. The presentation has been molded by my belief that what you have
already studied in calculus can be successfully applied to learning complex | 677.169 | 1 |
97801385600rentice Hall and The MathWorks Inc have joined forces to bring the industry standard software tool used by engineers and scientists into the classroom. This modified student version allows users to perform matrix manipulations, numerical computations, and data analyisis in a quick and easy-to-use fashion. Key features include: problems and solutions are expressed just as they are written mathematically, so no programming is required; numerical problems can be solved in a fraction of the time taken to write a program in Fortran, Basic or C; the complete integrated system includes graphics, programming macros, IEEE arithmetic, a fast interpreter, and many analytical commands; also, it performs eigenvalues, matrix arithmetic, matrix decompositions, convolution, spectrum estimation, linear equation solving, differential equations and 1-D and 2-D FFT | 677.169 | 1 |
Product Description:
It is close enough to the end of the century to make a guess as to what the Encyclopedia Britannica article on the history of mathematics will report in 2582: "We have said that the dominating theme of the Nineteenth Century was the development and application of the theory of functions of one variable. At the beginning of the Twentieth Century, mathematicians turned optimistically to the study off unctions of several variables. But wholly unexpected difficulties were met, new phenomena were discovered, and new fields of mathematics sprung up to study and master them. As a result, except where development of methods from earlier centuries continued, there was a recoil from applications. Most of the best mathematicians of the first two-thirds of the century devoted their efforts entirely to pure mathe matics. In the last third, however, the powerful methods devised by then for higher-dimensional problems were turned onto applications, and the tools of applied mathematics were drastically changed. By the end of the century, the temporary overemphasis on pure mathematics was completely gone and the traditional interconnections between pure mathematics and applications restored. "This century also saw the first primitive beginnings of the electronic calculator, whose development in the next century led to our modern methods of handling mathematics.
REVIEWS for New Directions in Applied | 677.169 | 1 |
The Heart of Mathematics: An Invitation to Effective Thinking
Wi-*ley (2009-11-09) | ISBN: 0470424761 | 976 pages | PDF | 40 MB
Math can be a living source of powerful ideas that transcend mathematics; a window into mind-opening philosophical concepts such as infinity, fourth dimensions, chaos, and fractals; and a practical training ground for developing skills in analysis, reasoning, and thought""if you have the right approach and the right guide.
The Heart of Mathematics: An Invitation to Effective ThinkingÂ""now in its third edition""transforms mathematics into an engaging, relevant experience even for the most math-phobic student. Infusing this book with humor and enthusiasm, Edward B. Burger and Michael Starbird""both recipients of the Mathematical Association of America"™s foremost national teaching award and countless state, regional, and campus-wide teaching honors""introduce students to the most important and interesting ideas in mathematics while inspiring them to actively engage in mathematical thinking.
Richer and more rewarding than ever, this new edition features:
* An emphasis on mathematical methods of investigation
* Visualization techniques that make key concepts easier to understand
* Accessible, friendly writing style that encourages critical thinking
* "Life Lessons"-effective methods of thinking that students will retain and apply beyond the classroom
* End of section Mindscape activities for the development of application, problem-solving, and argumentation skills
PLZ SEED
SHARING IS CARING
:thumbsup::thumbsup::thumbsup
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Key skills maths coursework
Apache Server at wwwopenedu Port 80. My Music Theory for free online music theory lessons Exercises, downloads and worksheets also available ABRSM Grades 1-8. A-Level Further Mathematics 6360 helps students develop mathematical knowledge and skills It is suitable for further studies in any Science or Maths-based course.
Key skills maths coursework
The Maths IGCSE course from Oxford Home Schooling guides the student through the basic maths skills in preparation for their exams. Advanced Subsidiary and Advanced, 2014 - Mathematics 7 2 Specification at a Glance 21 All assessment units are weighted at 167% of an A Level General. Course Code: 915AA: Course Version: 2: Location: Faculty: Faculty of Education, Science, Technology & Maths: Discipline(s): Academic Program Area - Education. The Nrich Maths Project Cambridge,England Mathematics resources for children,parents and teachers to enrich learning Problems,children's.
Subject content for GCSE in single science for teaching from 2016. Course Code: 768AA: Course Version: 1: Location: Faculty: Faculty of Health: Discipline(s): Discipline of Physiotherapy: UAC Code: 880805: CRICOS Code: 050002F. FE & Skills Sector We've brought together resources, guides and videos from the NCETM site and elsewhere, which are useful for those working in this sector.
Distance learning courses and resources from National Extension College Home study qualifications including GCSEs, IGCSEs, A levels, Childcare, Management. MyMaths is an interactive online teaching and homework subscription website for schools that builds pupil engagement and consolidates maths knowledge It is used. Key dates : Application deadline: 31 October in the year before you intend to sit your exams: Registration deadline: 30 November: Start studying: Study materials are. A collection of fantastic teaching resource websites that every maths teacher must have in their bookmarks: 1 TES Connect Thousands of maths teaching resources. A-level Maths provides students with a thorough grounding in the mathematical tools and techniques often needed in the workplace The logic and reasoning skills.
OCR AS/A Level GCE Mathematics (MEI) qualification information including specification, exam materials, teaching resources, learning resources. The Education & Training Foundation offers resources and continued professional development training for further education staff. OCR is a leading UK awarding body, providing qualifications for learners of all ages at school, college, in work or through part-time learning programmes.
The KS3 English course from Oxford Home Schooling gives students the ability and enthusiasm to develop essential skills in speaking, listening, reading and writing. The Official Windows 7 Home Premium Full Version Free Download service pack 1 (SP1) product key Single-click direct download Windows 7 ISO. | 677.169 | 1 |
Product Description:
Mathematical methods are essential tools for all physical scientists. This novel textbook provides a comprehensive guided tour of the mathematical knowledge and techniques needed by students in this area. In contrast to more traditional textbooks, all the material is presented in the form of problems. Within these problems the basic mathematical theory and its physical applications are very well integrated. In this way the mathematical insights that the students acquire are driven by their physical insight. Topics that are covered include vector calculus (div, grad, curl, Laplacian), linear algebra, Fourier analysis, scale analysis, Green's functions, normal modes, tensor calculus and perturbation theory. This book can be used by undergraduates or by lower-level graduate students in the physical sciences. It can serve as a stand-alone text, or as a source of problems and examples to complement other textbooks. This guided tour of mathematical techniques is instructive, applied, and even fun.
21 Day Unconditional Guarantee
REVIEWS for A Guided Tour of Mathematical | 677.169 | 1 |
Math Pathways: Plane Geometry introduces and instructs students in major mathematic concepts utilizing a pathways methodology in which students are explained core mathematic concepts and then build on these concepts in their understanding of more complex mathematical problem solving. Guided by NCTM and designed as a teacher-guided, self-paced, curriculum and standard-based learning tool, Math Pathways creates a learning environment in which students can explore, visualize and appreciate mathematics. The unique combination of 3D animation and exercises will ensure all math students acquire necessary conceptual understanding and computational skills to achieve middle school and high school standards.
Grade Levels: 9 to 12.
Technical Specifications
Specifications are provided by the manufacturer. Refer to the manufacturer for an explanation
of the print speed and other ratings. | 677.169 | 1 |
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Semantics and logic honors PowerPoint PPT Presentation
Semantics and logic honors. Mr. Torres. Bell ringer. The sat math section: What is it?. The SAT Math section covers math from basic number properties through mid-level Geometry, but does not include Trigonometry or Pre-Calculus.
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Semantics and logic honorsBell ringer
The sat math section:What is it?
The SAT Math section covers math from basic number properties through mid-level Geometry, but does not include Trigonometry or Pre-Calculus.
To ensure the highest possible score on your SAT Math section, focus on laying a strong foundation and building upon it early and often.
Understand how numbers work and how they interact with one another to guarantee fewer silly mistakes on Test Day.
The sat math section:Key vocabulary
Integer
Even and Odd
Positive and Negative
Number Line
Square and Square Root
Fraction
Reciprocal
Decimal
Scientific Notation
PEMDAS
Equation
Cardinal Rule of Equations
The sat math section:number properties
Integers – are whole numbers that can be positive or negative and include zero.
Properties of Integers:
Integer ± Integer = Integer
Integer x Integer = Integer
Integer ÷ Integer – Not Necessarily an Integer (e.g. 7 ÷ 3)
Even/Odd Integers:
Even ± Even = Even
Odd ± Odd = Even
Even ± Odd = Odd
The sat math section:number properties
Even/Odd Integers (cont'd):
Even x/ ÷ Even = Even
Odd x/÷ Odd = Odd
Odd x/÷ Even = Even
Positive/Negative Integers
Positive x/ ÷ Positive = Positive
Negative x/ ÷ Negative = Positive
Negative x/ ÷ Positive = Negative
Subtracting a negative number is the same as adding a positive number.
The sat math section:number properties
Number Lines and How They Work
Number lines are a visual representation of a range of numbers.
Most number lines have 0 in the middle, with positives on the right of zero, and negatives on the left of 0.
The further to the right you move, the greater the value becomes.
The further to the left you move, the smaller the value becomes.
The sat math section:number properties
Squares and Square Roots
Squaring a number simply means that you multiply it by itself.
The number in the exponent tells you how many of the number that serves as the base are involved in the multiplication.
E.g. – = 4 x 4 x 4 = 64
Square Roots ask you to find how many times a number was multiplied by itself to reach the number inside the radical. The number of times a number must be multiplied by itself can be found on the outside of the radical. No number means 2, or square root.
E.g. – = = 3
The sat math section:number properties
Fractions and Decimals
Fractions are numbers that have a numerator and a denominator and a line of division between them. E.g. = .
The reciprocal of a fraction inverts the numerator and denominator so that the fraction is upside-down compared to the first fraction.
Decimals have the same value as their equivalent fraction, but are represented instead by numbers after a decimal point that shows how many times past the number you started with you would have to divide another number to get an even number. E.g. = 0.75.
Decimals that have no repeating pattern after the decimal point are said to be irrational.
Scientific Notation – special decimals that are followed by " x " and is used to abbreviate long numbers with high values. E.g. 12546 = 1.2546 x .
The sat math section:Order of operations
What is PEMDAS?
Parentheses
Exponents
Multiplication/Division (in order, Left to Right)
Addition/Subtraction (in order, Left to Right)
Also known as "Please Excuse My Dear Aunt Sally" or "Push Eddie Murphy Down A Staircase"
When should I use PEMDAS?
ALWAYS!!!!!!!!!!!!!!!!!!!
The sat math section:Equations
What makes an equation unique?
The = sign makes it unmistakable. The values on either side of the = sign must be equal.
When I change something on one side of the equation, what should I do to balance it?
If you add, subtract, multiply, divide, raise to an exponent, or take a root of one side of the equation, you MUST do it to the other side as well.
This is known as the Cardinal Rule of Equations.
The sat math section:a "how to" Mini guide
Always follow these four steps to answer your SAT Math questions:
Identify what the question is.
It is not always clear what the question is asking for, so circle, underline, or rewrite what the question is actually asking for so that you do not get confused on the exam.
Identify the information in the question stem.
SAT questions are always full of useful information. Circle, underline, or rewrite relevant information from the question stem so that you can use it to answer the question quickly and effectively.
Choose the appropriate action.
Choosing Numbers – remember, they must be allowed by the question AND easy to work with!
Backsolving – the answers are already there, so just plug them in!
Regular Math – if you cannot take a shortcut, just use your math skills!
Check your work.
The sat math section: classwork assignment
Turn to page 423 in your blue SAT book and do questions 1-16 in section 9 of the practice test.
Do not write on the book. Show all your work and highlight your answers on a separate sheet of paper with your name, the date, and your period number on it.
You will have the rest of this class period to work on this assignment. Work quickly and efficiently.
After you've completed this classwork assignment, turn it in to the teacher.
***Remember*** - Your Home Learning assignment will be available after class on Mr. Torres's webpage. Please download and complete it for the next class period. | 677.169 | 1 |
Function Characteristics and Terminology
PDF (Acrobat) Document File
Be sure that you have an application to open this file type before downloading and/or purchasing.
3.91 MB | 11 pages
PRODUCT DESCRIPTION
This graphic organizer/notes packet is designed to be used to introduce functions at an Algebra I or II level. It contains the parent functions and their graphs, function notation, interval notation, set notation, domain, range, continuous vs. discrete, points of discontinuity, areas of increase and decrease, average rate of change, extrema, intercept, asymptotes and end behavior. It is a great tool to introduce this terminology before diving deeper into each of the parent functions. I use this page as the notes and give students additional practice in the areas that they need it. Using it this way, it will take 2-4 days to complete | 677.169 | 1 |
Trouble in algebra II can come from both a weak understanding of topics in algebra I and/or from a natural opposition to moving farther and farther away from reality. Abstraction is a hard concept to understand, and I believe the concept all together is ignored in many schools. We're taught thi... | 677.169 | 1 |
MATLAB Commands and Functions
MATLAB general purpose command, symbolic Math toolbox that will be very helpful for engineering students. It will make student life easier .
About MATLAB:
MATLAB is the leading technical computing software for algorithm ,development , data visualization,data analysis,and numeric computation. MATLAB is used in a wide range of applications, including signal and image processing , communications , control design, test and measurement , financial modelling and analysis and computational biology. | 677.169 | 1 |
Description :
This Revised Edition of Cambridge IGCSE Mathematics has been updated to reflect changes in the 0580 syllabus and ensure full syllabus coverage. With clearly marked core and extended material, the coursebook provides clear explanations and practice exercises to help students master mathematical skills.
Description :
Revised edition of the IGCSE Mathematics Core and Extended Coursebook for the 0580 syllabus for examination from 2015. The Cambridge IGCSE® Mathematics Core and Extended Coursebook plus IGCSE Mathematics Online offers students and teachers a combination of support resources for the Cambridge IGCSE® Mathematics syllabus (0580). The coursebook provides clear explanations and practice exercises to help students master mathematical skills. IGCSE Mathematics Online offers additional lessons with explanations, extra questions for students to tackle, worksheets and walkthroughs. IGCSE Mathematics Online allows teachers to set activities to set classroom and homework exercises to individual students or entire classes. It contains a test-generator, with a powerful marking and recording system to help track student progress. | 677.169 | 1 |
Online access to textbooks and solution manuals: Students using the Math 1, Math 2, and Math 3 textbooks now have access to online textbooks and solution manuals. Follow the link in the left-hand menu for more details.
Graphing calculators: Our school strongly recommends that all students purchase a Texas Instruments graphing calculator from the TI-83 or TI-84 family. Most students get a calculator at the start of 8th or 9th grade and use it for class work, homework, and assessments in math and science through all four years of high school. Our school also lends calculators to students who need and request them. See this page for more information.
Course catalog: For information about our math course offerings, see the Mathematics section of the LHS Course Catalog 2016-2017 or 2017-2018.
Past final exams: We have many final exams available from past years of courses. Choose "Final Exam Archive" from the left side menu to access them. For our newest courses that don't yet have past exams available, appropriate review materials will be available from the teacher.
Math Department on Twitter: We're just getting started on twitter but you can follow our department feed @lexhsmath. Also our student teams are @lhsmathteam and @lexrobotics. | 677.169 | 1 |
Basic algebra is algebra in which the letter symbols stand for real numbers. The scope of the field largely corresponds to the algebra usually taught in secondary schools or in early college as a precursor to the calculus.
An intelligent tutoring system funded through a grant from the National Science Foundation to build software that is more like human tutors. This program will tutor students presenting them with progressively harder problems and will help me when needed.
Covers the order of operations, working with plus and negative signs, solving for unknowns, straight line and polynomial functions, cartesian coordinates and simultaneous equations. Includes topical navigation, illustrations and charts. | 677.169 | 1 |
Specialist Mathematics for VCE Units 1 and 2
Learn what is required to perform well in the year 11 Specialist Mathematics examinations strictly follows the VCAA Study Design for Units 1 and 2, while preparing students for Units 3 and 4. The content follows the structure for Units 1 and 2 but will extend students in each topic in preparation for the rigors of Units 3 and 4.
The notes used during this course are provided in the first lecture of each topic. If you like to have notes in front of you to annotate, then these can be downloaded and printed prior to the lectures.
Content will generally be through notes explaining the content, but where appropriate, the (Casio) CAS calculator will be used and also other leading edge software such as the Desmos calculator and Wolfram Alpha.
You will need a reasonable understanding of Year 10 level Mathematics.
Questions are encouraged and will be answered through the discussion board.
It is important to note that the study design has some minor changes that will be implemented in 2016 and these changes are reflected in this course.
If you want to maximise your exam results in Specialist Mathematics, then this course is for you.
Who is the target audience?
This course is designed to meet the VCAA requirements for Specialist Mathematics Units 1 and 2. This course includes the changes published in March 2015 for implementation in 2016.
Students Who Viewed This Course Also Viewed
What Will I Learn?
Gain confidence in material from Units 1 and 2 as a foundation to move to Units 3 and 4
I have been teaching for ten years. Prior to this I was an Engineer at a factory manufacturing telecommunication grade optical fibre. Most of the data and voice traffic in Australia and New Zealand travels through fibre that we made.
My first Engineering job was in the electronic design of the head-up display used in the F-16. | 677.169 | 1 |
Math Study Skills
Math is a unique subject. It involves symbols, formulas, specific procedures, textbooks that look different, and many unique words and terms. Consequently, it is important to use study skills that apply particularly well to math. Here are some you should use.
You can't learn math just by reading and listening. Much of math learning involves actively doing. This means that you must do all of your math homework and assignments. This is essential to learning how to use formulas and procedures.
Math is a sequential subject. What is taught on a given day is based upon what was taught before. Once you fall behind, it is very difficult to catch up. Cramming at the last minute will not help you. Be certain to attend every class and keep up with your teacher.
Math is a difficult subject that becomes increasingly complex. You may have to spend more study time on this subject than on your other subjects.
Don't try to memorize your way through math. There are simply too many formulas and procedures. Try to master the key concepts. This will reduce the amount of information you will need to remember.
Once you learn a procedure for solving a problem, that same procedure can often be used to solve other problems. When presented with a new problem, try to apply your past learning to the new problem.
Learn the vocabulary of math. Often, a word used in math has a different meaning than that same word when used outside of math. For example, volume in math refers to the amount of space within a solid figure. Outside of math, volume can refer to a book or to loudness. Write new math words and terms and their math meanings in a special place in your notebook.
Math is a subject that makes many students very anxious. As simple as it sounds, having confidence in yourself can reduce your anxiety.
These math study tips can help you succeed in math. But don't be too proud to seek help when you realize that you need more than tips such as these and super effort to succeed. | 677.169 | 1 |
Geometry: Euclid and Beyond - neues Buch
Geometry: Euclid and Beyond In's Elements. Students are expected to read concurrently Books I-IV of Euclid's text, which must be obtained sepa rately. The remainder of the book is an exploration of questions that arise natu rally from this reading, together with their modern answers. To shore up the foundations we use Hilbert's's treatment of the five Platonic solids in Book XIII of the Elements. For a one-semester course such as I teach, Chapters 1 and 2 form the core material, which takes six to eight weeks. Bücher / Fremdsprachige Bücher / Englische Bücher 978-1-4419-3145-0, Springer
Robin Hartshorne:
In´s Elements. Students are expected to read concurrently Books I-IV of Euclid´s text, which must be obtained sepa rately. The remainder of the book is an exploration of questions that arise natu rally from this reading, together with their modern answers. To shore up the foundations we use Hilbert´s´s treatment of the five Platonic solids in Book XIII of the Elements. For a one-semester course such as I teach, Chapters 1 and 2 form the core material, which takes six to eight weeks. Geometry: Euclid and Beyond Buch (fremdspr.) Bücher>Fremdsprachige Bücher>Englische Bücher, Springer
Hartshorne, Robin
Titel:
Geometry: Euclid and Beyond (Undergraduate Texts in Mathematics)
ISBN-Nummer:
9781441931450
This book offers a unique opportunity to understand the essence of one of the great thinkers of western civilization. A guided reading of Euclid's Elements leads to a critical discussion and rigorous modern treatment of Euclid's geometry and its more recent descendants, with complete proofs. Topics include the introduction of coordinates, the theory of area, history of the parallel postulate, the various non-Euclidean geometries, and the regular and semi-regular polyhedra. | 677.169 | 1 |
Honors Scholar Theses
Differential equations are equations that involve an unknown function and derivatives. Euler's method are efficient methods to yield fairly accurate approximations of the actual solutions. By manipulating such methods, one can find ways to provide good approximations compared to the exact solution of parabolic partial differential equations and nonlinear parabolic differential equations.
Faculty Authored Books
Grades 7-8 Mean, Median, And Mode, Rich Miller Iii
Math
This lesson is a math lesson for seventh and eighth grade students on mean, medium, and mode. Through this lesson students will be able to understand the measures of central tendency and their definitions, how to calculate them and what steps are involved, and how the theories can be applied on real life. In this lesson, students are tiered by ability and are able to pick a project based off of their interest and the math concept they are working on. Each activity has a tiered task card to guide the students.
A Math 8 Unit In Scientific Notation Aligned To The New York State Common Core And Learning Standards, Jessica K. Griffin
Education and Human Development Master's Theses
In response to the implementation of new Common Core State Standards (CCSS), this curriculum project was designed to help teachers in the transition to the new standards. The curriculum project will be referred to as a unit plan throughout the paper. The unit plan on Scientific Notation, for the eighth grade mathematics curriculum, is aligned to the New York State Common Core and Learning Standards for Mathematics (NYSCCLSM). The unit plan addresses mathematical modeling, Mathematical Practice Standard 4. The unit plan may provide a way in which teachers can work towards the Common Core State Standards Initiative's goal to ...
All Articles in MathematicsJay Gopalakrishnan
Discontinuous Petrov Galerkin (DPG) methods are made easily implementable using `broken' test spaces, i.e., spaces of functions with no continuity constraints across mesh element interfaces. Broken spaces derivable from a standard exact sequence of first order (unbroken) Sobolev spaces are of particular interest. A characterization of interface spaces that connect the broken spaces to their unbroken counterparts is provided. Stability of certain formulations using the broken spaces can be derived from the stability of analogues that use unbroken spaces. This technique is used to provide a complete error analysis of DPG methods for Maxwell equations with perfect electric boundary ...
Electronic Journal of Linear Algebra
We investigate structural properties of the completely positive semidefinite cone $\mathcal{CS}_+$, consisting of all the $n \times n$ symmetric matrices that admit a Gram representation by positive semidefinite matrices of any size. This cone has been introduced to model quantum graph parameters as conic optimization problems. Recently it has also been used to characterize the set $\mathcal Q$ of bipartite quantum correlations, as projection of an affine section of it. We have two main results concerning the structure of the completely positive semidefinite cone, namely about its interior and about its closure. On the one hand we construct ...
Arithmetic: Math As 'Pure' And 'Applied', Sunil Chetty
Forum Lectures
One often hears mathematics classified into two categories: pure or applied, abstract or concrete, elementary or modern. We explore how arithmetic can dismantle such highly artificial distinctions. More specifically, we play with tiles and draw pictures to highlight how arithmetic can be both good mental exercise and a very useful tool for modern communication.
The University Of Montana Department Of Mathematics Post-Apocalyptic Working Seminar, Kenan A. Ince
Journal of Humanistic Mathematics
16, Dan Mcquillan
Journal of Humanistic Mathematics
This 15 word poem suggests that the reader count the words of the poem. Since every line has half as many words as the previous line, and since the poem urges the reader to keep counting forever, one imagines a total of 16 words.
Journal of Humanistic Mathematics
Book Review: Realizing Reason: A Narrative Of Truth And Knowing By Danielle Macbeth, Emily R. Grosholz
Journal of Humanistic Mathematics
This review examines Danielle Macbeth's novel and compelling account of the formal languages of mathematics, from Euclid's geometrical diagrams to the algebraic equations of Descartes and the differential equations of Newton and Leibniz, to the much more abstract language of Galois, Bolzano and Riemann. She argues that the practice of those 19th century mathematicians, reasoning deductively from abstract concepts like 'group' and 'manifold', inspired the philosophical logician Gottlob Frege, whose Begriffsschrift captures the procedures of those who reasoned in concepts. However, his way of formalizing mathematical reasoning was obscured by the success of Bertrand Russell and Alfred ...
Journal of Humanistic Mathematics
The purpose of this article is to share a particular view that I have towards solving equations in the school mathematics classroom. Specifically, I contend that solving equations in the math classroom is a make-work project for math teachers and students. For example, math teachers take a predetermined value that makes a statement true, and then proceed to make it harder and harder and harder for their students to determine the value that makes the statement true. However, math teachers do so with the explicit purpose of teaching their students how to reveal the solution that they themselves have concealed ...
Does Society Need Imo Medalists?, Man Keung Siu
Journal of Humanistic Mathematics
With a title that sounds provocative but with no intention to embarrass the organizers and participants of the event of IMO (International Mathematical Olympiad) this article should be seen as the sharing of some thoughts on this activity, or more generally on mathematical competitions, by a teacher of mathematics who had once helped in the coaching of the first Hong Kong Team to take part in the 29th IMO held in Canberra in 1988 and in the coordination work of the 35th IMO held in Hong Kong in 1994. The author tries to look at the issue in ...
Basketball, Algebra, And Probabilities, Gunhan Caglayan
Journal of Humanistic Mathematics
This article is an attempt to illustrate some humanistic aspects of mathematics in context, in particular, sports and scoring (basketball). The intriguing and dynamic illustrations demonstrate innovative and creative ways of integrating basketball snapshots into the pedagogy of a high school or college-level mathematics-in-context course. I have used this activity with several mathematics education students in a mathematics-in-context class as they worked in groups of five. I include here a presentation and a discussion of their explorations and analyses.
The Battle Against Malaria: A Teachable Moment, Randy K. Schwartz
Journal of Humanistic Mathematics
Malaria has been humanity's worst public health problem throughout recorded history. Mathematical methods are needed to understand which factors are relevant to the disease and to develop counter-measures against it. This article and the accompanying exercises provide examples of those methods for use in lower- or upper-level courses dealing with probability, statistics, or population modeling. These can be used to illustrate such concepts as correlation, causation, conditional probability, and independence. The article explains how the apparent link between sickle cell trait and resistance to malaria was first verified in Uganda using the chi-squared probability distribution. It goes on to ...
Some Comments On Multiple Discovery In Mathematics, Robin W. Whitty
Journal of Humanistic Mathematics
Among perhaps many things common to Kuratowski's Theorem in graph theory, Reidemeister's Theorem in topology, and Cook's Theorem in theoretical computer science is this: all belong to the phenomenon of simultaneous discovery in mathematics. We are interested to know whether this phenomenon, and its close cousin repeated discovery, give rise to meaningful questions regarding causes, trends, categories, etc. With this in view we unearth many more examples, find some tenuous connections and draw some tentative conclusions.
The Graduate Student Blues, Marion D. Cohen
Journal of Humanistic Mathematics
This is a memoir about my rather unconventional path to a mathematics Ph.D. There were difficulties, due partly to university politics, partly to my youth and immaturity, and partly to the thesis material itself – it was, in the words of some of my fellow students, "not what's being done now". I had written the thesis entirely on my own, without help from my Master's thesis advisor or any other professor at my school. This is not the usual procedure of course. Nobody in my department could understand the thesis or was willing to vouch for it. There ...
Every Minute Of Your Life Has Been Interesting, Susan D'Agostino
Journal of Humanistic Mathematics
In this short paper, we prove that every minute of your life has been interesting. We also provide four exercises intended to solidify understanding of this result, including one exercise related to the torturously boring family road trip you took as a child. | 677.169 | 1 |
Calculus
Categories
Keywords
Additional Images
Product Details
Author Name:
Gootman, Elliot C.
Binding:
Paperback
Book Condition:
Good
Publisher U.S.A. BARRONS EDUC SERIES 1997
ISBN Number
0812098196 / 9780812098198
Seller ID
130594
This general review covers equations, functions, and graphs; limits, derivatives; integrals and antiderivatives; word problems; applications of integrals to geometry; and much more. Additional features make this volume especially helpful to students working on their own. They include worked-out examples, a summary of the main points of each chapter, exercises, and where needed, background material on algebra, geometry, and reading comprehension. | 677.169 | 1 |
The Complete Year 9Course Description
Through this course strengthen the math fundamentals of your child. It is important that your child have a good foundation of consumer arithmetic at the end of year 9 maths. The importance of algebra should also be taught here eventhough concept of algebra is not a new topic anymore.
Let your child experience the benefits of online learning and see a drastic improvement in his/her mental ability and gradesZero index
Number theory
Negative integral indices
Percent
Constructions
Integers
Measurement
Operations with integers
Consumer math
Number sequences
Rational numbers
Problem solving
Variable expressions
Data and graphs
Single variable equations
Operations with rational numbers
Monomials and polynomials
Exponents and roots
Linear and non-linear relationships and graphs
Factorizing
Scientific notation
Probability
Ratios and proportions
Proportional relationships
Statistics
Interest calculations
Geometry
Frequency tables and polygons
Trigonometry
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Introductory Algebra Workbook
This workbook was created through the efforts of instructors at Scottsdale
Community College in Scottsdale, Arizona, has been used by thousands of students, and is continually improved. This workbook contains have lessons that were carefully and thoughtfully crafted to lead students on a path
to understanding numbers and arithmetic.
Each lesson is broken into four parts, which an instructor can use some or all of:
A Minilesson, in a workbook format, which can either be worked through in-class via lecture or groupwork, or through video lessons available on the Scottsdale Math blog or inside MyOpenMath.
Practice problems
A short assessment
Online homework in MyOpenMath
The printed version of the workbook is available in looseleaf from the printing company listed to above; contact them for pricing and ordering information
Openness Comments: Word files are available from the authors on request.
Unit R: Arithmetic Review
R.1: Order of Operations Section
R.2: Fractions Section
R.3: Operations on Fractions Section
R.4: Signed Numbers
Unit 1: Introduction to Variables
1.1: Writing Algebraic Expressions
1.2: The Story of "x"
1.3: Evaluating Algebraic Expressions
1.4: Applications
1.5: Geometric Formulas
Unit 2: Algebraic Expressions
2.1 Some Vocabulary
2.2 Like Terms
2.3 Distributive Property
2.4 Simplifying Algebraic Expressions
2.5: Applications
Unit 3:Solving Equations
3.1 Algebraic Equations
3.2 Solving One-Step Equations
3.3 Solving Two-Step Equations
3.4 Solving Multi-Step Equations
3.5 Solving Equations – Applications
3.6 Writing Equations – Applications
Unit 4: Inequalities
4.1 Inequalities
4.2 Solving Linear Inequalities
4.3 Solving Inequalities – Applications
4.4 Compound Inequalities
4.5 Absolute Value Equations and Inequalities
Unit 5: Graphs
5.1 The Cartesian Plane,
5.2: Working with Scale in the Cartesian Plane
5.3: Characteristics of Graphs
5.4: Interpreting Graphs
5.5: Constructing a Graph from Data
Unit 6: Formulas and Patterns
6.1: Connect the Dots?
6.2 Linear Equations – Two Variables
6.3: Graphing Equations by Plotting Points,
6.4 Intercepts
6.5 Horizontal and Vertical Lines
6.6: Looking for Patterns
Unit 7: Introduction to Functions
7.1 Relations and Functions
7.2 Function Notation
7.3 Domain and Range
7.4 Practical Domain and Range
7.5: Applications
Unit 8: Formulas and Functions
8.1: Words and Formulas
8.2 Formulas in Function Notation
8.3: Formulas in Function Notation – Applications
8.4: Graphing Functions
8.5: Connecting Representations
8.6: Applications
Unit 9: Introduction to Linear Functions
9.1 Linear Functions
9.2 Graphing Linear Functions
9.3 Interpreting the Slope of a Linear Function
9.4: Using Rates of Change to Build Tables and Graphs
9.5: Is the Function Linear?
Unit 10: The Equation of a Linear Functions
10.1 The Equation of a Linear Function
10.2 Writing the Equation of a Line in Slope-Intercept Form
10.3 Parallel and Perpendicular Lines
10.4 Applications – Slope-Intercept Form
10.5: Interpreting a Linear Function in Slope-Intercept Form
Unit 11: Linear Equations and Inequalities
11.1 General Form
11.2 Applications – General Form
11.3 Linear Inequalities in Two Variables
11.4 Graphing Linear Inequalities in Two Variables
Unit 12: Systems of Equations
12.1 Systems of Linear Equations
12.2 The Substitution Method
12.3 The Addition (Elimination) Method
12.4 Applications
Unit 13: Polynomials and Exponents
13.1 Polynomials
13.2 Operations on Polynomials
13.3 Properties of Exponents
13.4 Multiplication of Polynomials
13.5 Applications from Geometry
13.6 Division Properties of Exponents This is a comprehensively design course packet, intended to be customizable for use in face-to-face, hybrid, and online courses. | 677.169 | 1 |
Daily SAT Math Practice (Month 1)
PDF (Acrobat) Document File
Be sure that you have an application to open this file type before downloading and/or purchasing.
5.72 MB | 51 pages
PRODUCT DESCRIPTION
This document contains a full month of daily SAT math practice to help students review the new SAT test. Each week is thematic to help students master specific topics for the test.
The math problems feature math topics at a much deeper level. Many of the topics that students will see on the SAT exam measure deep understanding. They will find problems that test for meaning, interpretation, and understanding. The math problems and answer choices in this document are carefully designed to provide comprehensive practice.
Additionally, there is a detailed solution guide for each problem included to help with further understanding the solution to each problem. The wrong answer choices also have explanations to tell why they are the wrong choices. Remember, SAT carefully creates questions and answer choices that measure if a person truly understands a concept at a deep level or if they simply just have incomplete surface knowledge.
Possible Uses:
--Use the daily math problem at the beginning of the class period for daily review.
--Ask students to complete the daily practice as nightly homework.
--Assign students to solve the problems in small groups.
Click the follow button to receive updates about additional resources7.00. | 677.169 | 1 |
Why don't you find out which textbook you'll be using next semester and buy that one and study through it? It's a lot easier learning out of a text book, since it's written in a logical order, as opposed to various webpages.
everything lurflurf stated, didnt have jacobian, hessian, liebniz in mine. Heavy concentration to stokes theorm, greens theorm, fields and flux and applications of mathamatical physics. Also course will be different depending whether it is specifically for math majors or applied science majors, and whether there is a Calculus 4 class or if it ends at 3 | 677.169 | 1 |
Essentials of Precalculus from the author team of Aufmann and Nation offers the same engaging style and support for students as the Aufmann College Algebra series, all in a brief format that covers the entire course in a single semester. Interactive learningMore...
This new text from the author team of Aufmann and Nation offers the same engaging style and support for students as the Aufmann College Algebra series, all in a brief format that covers the entire course in a single semester. Interactive learning techniques incorporated throughout the text help students better understand concepts, focus their study habits, and achieve greater success. In this First Edition, the authors have also integrated many components into the textbook to help students diagnose and remediate weak algebra skills. Prerequisite review in the textbook and supporting materials allows students to fill in gaps in their mathematical knowledge, and keeps instructors from having to spend time on review. Review Notes next to examples and Prepare for the Next Section exercises provide point-of-use review. Extra support also comes from the Aufmann Interactive Method, featuring Try Exercises that allow students to practice math as it is presented and to more easily study for tests. Prepare for the Next Section Exercises appear at the end of exercises and are specifically written to review prerequisite skills the student will need in the next section. Answers at the end of the text and a reference section help students review if they get a wrong answer. Review Notes cover prerequisite skills to help students without the necessary knowledge to understand important concepts. These example-specific notes direct students to the appropriate pages where they can practice and review the skill, thus decreasing frustration and increasing success. Interactive Reading Support Questions engage students in learning mathematics and encourage them to think critically. Visualize the Solution graphics are often paired with Algebraic Solutions to assist visual learners in understanding concepts. Focus on Problem Solving features at the beginning of each chapter review then demonstrate various strategies used by successful problem solvers. This builds students' comfort level with problem solving and leaves them with a collection of tips and strategies to refer to throughout the course. Eduspace Houghton Mifflin's online learning tool powered by Blackboard, is a customizable, powerful and interactive platform that provides instructors with text-specific online courses and content. See the product supplements for more information.
Richard Nation is Professor of Mathematics at Palomar College. He is the co-author of several Aufmann titles.
Note
Each chapter includes a Summary
True/False Exercises
Review Exercises, and a Test
Chapters 26 include Cumulative Review Exercises
Functions and Graphs
Equations and Inequalities
A Two-Dimensional Coordinate System and Graphs
Introduction to Functions
Linear Functions
Quadratic Functions
Properties of Graphs
The Algebra of Functions Exploring Concepts with Technology: Graphing Piecewise Functions with a Graphing Calculator
Polynomial and Rational Functions
Complex Numbers
The Remainder Theorem and the Factor Theorem
Polynomial Functions of Higher Degree
Zeros of Polynomial Functions
The Fundamental Theorem of Algebra
Graphs of Rational Functions and Their Applications Exploring Concepts with Technology: Finding Zeros of a Polynomial Using Mathematica
Exponential and Logarithmic Functions
Inverse Functions
Exponential Functions and Their Applications
Logarithmic Functions and Their Applications
Logarithms and Logarithmic Scales
Exponential and Logarithmic Equations
Exponential Growth and Decay Exploring Concepts with Technology: Using a Semilog Graph to Model Exponential Decay | 677.169 | 1 |
Click on the Google Preview image above to read some pages of this book!
Essential Mathematics for the Australian Curriculum Year 8 is a complete teaching and learning program to support the implementation of the new curriculum.
Developed by a team of highly experienced maths educators and authors, the series builds on a proven teaching and learning formula while acknowledging the variety of preferences, learning sequences and teaching methods that worked in the state curricula.
These ESSENTIAL resources for the Australian Curriculum offer:
- Authoritative and practical support to help you implement the syllabus from planning through to delivery and assessment
- Genuine understanding of what works in your classroom to guide students of different learning abilities and styles to success
- Integration of technology as a valuable tool for enhancing teaching and learning in the maths classroom
- A suite of flexible print and digital resource options to suit the needs of every school.
The series:
Essential Mathematics for the Australian Curriculum has been developed by a team of highly experienced maths educators and proven authors to provide a complete teaching and learning program for the new curriculum.
Essential Mathematics for the Australian Curriculum is the result of years of careful planning and research, this series is based on a deep and authoritative interpretation of the syllabus to support you and your school in the implementation of the new curriculum. | 677.169 | 1 |
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CaterpillaSSA is a tool for time series analysis and forecasting in different areas of a science. The program is based on SSA (Singular Spectrum Analysis), and you can identify and analyze additive components of the time series (trends, periodicities, nois
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