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How to Solve It: A New Aspect of Mathematical MethodHow to Solve It: A New Aspect of Mathematical Method Book Description George Polya was a Hungarian mathematician. He wrote this, perhaps the most famous book of mathematics ever written, second only to Euclid's "Elements." "Solving problems," The method of solving pr...
Tappan Trigonometry bio part involves biology, the study of living things. The statistics part involves the accumulation, tracking, analysis, and application of data. Biostatistics is the use of statistics procedures and analysis in the study and practice of biology have utilized all levels of Algebra within classwork ...
Solutions Help Calculators Algebrahelp Calculators A collection of lessons, calculators, and worksheets. Many of the interactive worksheets and instant solution calculators include step by solutions. webmath.com Webmath generates answers to specific math questions, as entered by a user of the site, many different typ...
LabView for Engineers, CourseSmart eTextbook Description Based on the most current release of LabVIEW, LabVIEW for Engineers is designed for readers with little to no experience using LabVIEW. Part of Prentice Hall's ESource Program: ESource enables instructors to choose individual chapters from published books in t...
Math - Home University Transfer Learn more! Sign up now for PierceConnect and keep up on the latest information about our courses, events and opportunities on campus. In many disciplines, mathematics is used to help make sense of phenomenaobserved in the world. Math also can help us develop critical thinking and re...
Purpose of Mu Alpha Theta Mu Alpha Theta is the National High School and Two-Year College Mathematics Honor Society with 93,300 student members in June 2012 in more than 1950 schools. We are dedicated to inspiring keen interest in mathematics, developing strong scholarship in the subject, and promoting the enjoyment o...
Call us today Learn more Call us today Learn more As a gateway to high school math, Algebra I plays a central role in every student's life Revolution's Algebra I program offers the tools you need to be successful. This course is the perfect complement to core algebra instruction, supporting differentiated instruct...
How To Study Mathematics . How to Study Mathematics . Written by Paul Dawkins . Before I get into the tips for how to study math let me first say that everyone studies ... may seem easy when watching the instructor, but it often is not so easy when it Anyone can learn math whether they're in higher math at school or j...
Specification Aims The programme unit aims to provide a firm foundation in the concepts and techniques of the calculus, including real and complex numbers, standard functions, curve sketching, Taylor series, limits, continuity, differentiation, integration, vectors in two and three dimensions and the calculus of func...
The real numbers -- those comprising the integers, fractions, and non-repeating, non-terminating decimals -- are the key players in algebra. True, the complex numbers -- those of the form a + bi, such that a and b are real numbers and i^2 = -1 -- are studied in algebra and do indeed have important applications in vario...
Algebra City is a mathematics intervention program created especially to help students build an understanding of key concepts, procedures, and representations needed to master and pass Algebra I. When traditional texts frequently can be "a mile wide and an inch deep," Algebra City encourages students to delve deeply in...
Sponsors App Activity About AppShopper Algebra I Review iOS iPhone YayMath.org and Study By App, LLC have partnered to create a comprehensive Algebra 1 app. The Yay Math movement and this project are built on an understanding of Algebra's importance, not just for this class, but also for advancing to next levels. ...
Product Description Algebra 1/2 Home Study Kit includes the hardcover student text, softcover answer key and softcover test booklet. Containing 123 lessons, this text is the culmination of prealgebra mathematics, a full pre-algebra course and an introduction to geometry and discrete mathematics. Some topics covered in...
The Role and Use of Sketchpad as a Modeling Tool in Secondary Schools. Edition No. 1 VDM Publishing House, March 2010, Pages: 268 Over the last decade or two, there has been a discernible move to include modeling in the mathematics curricula in schools. This has come as the result of the demand that society is making...
Abstract Many engineering undergraduates have problems with mathematics. Even areas of school mathematics – invariably including algebra - sometimes have to be reinforced at undergraduate level. A bar to learning is often a lack of an understanding and this is where visualisations sometimes help - either by setting pr...
Workshop 2: Math. Analysis - Why do we do proofs? The fourth class in Dr Joel Feinstein's G12MAN Mathematical Analysis module aimsSimpson's paradox); the ansAnimation of GC solvent focusing This site has very good animations related to separations. It deals specifically with solvent focusingM.E. Muller Institute for Mi...
LIFEPAC Pre-algebra & Pre-geometry I provides an exciting, fun-filled study on geometry. Students can work independently because lessons explain challenging concepts one at a time. Worktexts discuss: Geometry, Rational Numbers, Sets and Numbers, Formulas and Ratios, and Mathematics in Sports. Additional topics covered ...
Using Matrices to Solve Linear Systems by Christopher Monahan It is not uncommon for a car dealership to have multiple stores across a geographic region. Consider the case of the US Auto Import chain with stores in Yonkers, Croton-on-Harmon, Saratoga Springs, Syracuse, and Ithaca. The May inventory is taken of four of...
User Login Special Offers Algebra Through Visual Patterns: A Beginning Course in Algebra Click on image to zoom. Price: $50.00 Item #: ATVP Gr Level: 6-12 Product Description: This two volume set of teachers guides provides a semester's worth of student activities designed to help teachers address algebra inst...
MATH 712: Problem Solving for Teachers Course ID Mathematics 712 Course Title MATH 712: Problem Solving for Teachers Credits 3 Course Description This course is for middle and high school mathematics teachers who are interested in improving their own problem-solving skills and are looking for ideas about how to im...
Maths Mathematics Why study Maths? Mathematics is imperative because it is the most widely used subject in the world. Every career uses some sort of mathematics. More importantly, doing math helps the mind to reason and organized complicated situations or problems into clear, simple, and logical steps. However, with...
0131848682 9780131848689 Introduction to Mathematical Thinking: Besides giving readers the techniques for solving polynomial equations and congruences, An Introduction to Mathematical Thinking provides preparation for understanding more advanced topics in Linear and Modern Algebra, as well as Calculus. This book intr...
Mathematics, General Colleges A general program that focuses on the analysis of quantities, magnitudes, forms, and their relationships, using symbolic logic and language. Includes instruction in algebra, calculus, functional analysis, geometry, number theory, logic, topology and other mathematical specializations
Mathematics This first year regents course studies many major topics in mathematics including solving equations, factoring polynomials, probability, statistics, graphing functions, number systems, and real world applications. Integrated Algebra Extended 1 is the first year of a two year extended regents course. This ...
The object of this class is to introduce you to problem-solving techniques useful for tackling advanced problems in undergraduate mathematics. The sessions will be devoted to collective problem solving and to discussions of problem-solving strategies. Many of our examples will be drawn from past years of the William Lo...
Embed this Tutorial Here's a link to this Tutorial. Just copy and paste! Get the embed code Introduction Many decisions we make in our everyday financial lives can be captured as systems of equations. We might do the computations outside of math class without seeing them as systems of equations, but if we capture t...
Math: Algebra Learn about basic algebra principles. These sites have information on how to simplify using the distributive property, and how to transform using the commutative and associative properties, and solving systems of equations with two variables. Investigate quadratic equations. Includes links to eThemes res...
APM4810 - An Introduction to The Finite Element Method Duration: NQF Level - 8 Credits - 12 Purpose: I want to introduce you to a module on Finite Elements. This module will develop the basic mathematical theory of the Finite Element Method (FEM).This method is the most widely used technique for engineering design ...
School Search Mathematics Course Description-Mathematics HS Mathematics - (Algebra 1, Geometry and Algebra 2/Trignometry) - This is a three-year sequence consisting of the integration and unification of the traditional topics of Algebra, Geometry, Intermediate Algebra, and Trigonometry. Practical aspects of mathemat...
Graphing $9.95 This program generates graphs that students read and interpret data using specific vocabulary; least and most, fewest and greatest. Additionally, this program also provides the data and the student must place the corresponding information on the graph.
Microsoft Mathematics 4.0 4.0 includes a full-featured graphing calculator that's designed to work just like a handheld calculator. Additional math tools help you evaluate triangles, convert from one system of units to another, and solve systems of equationsHave you listened to The Morning Jam aka "The Shareen and Joe ...
You are here MATH 6104 - Multivariate & Vector Calculus This course is designed as a continuation of MATH 2094. Topics will include: parametric equations, polar, cylindrical and spherical coordinate systems, vectors and vector valued functions, functions of several variables, partial derivatives and applications, mul...
Mathematics All Around Plus MyMathLab Student Access Kit Average rating 4 out of 5 Based on 5 Ratings and 5 Reviews Book Description st... More students understand the math, not just get the correct answers on the test. Useful features throughout the book enable students to become comfortable with thinking about nu...
Matrix Helper Pro We believe that sometimes You just need to make quick calculations with matrix for solving linear algebra, for example. After downloading our app you can: 1) add up 2) multiply 3) transpose matrix with size up to 6x6. See, I didnt take maths after my second year in high school so I have no idea how ...
Fortunately, I was able to find an article ( that focuses on the class I will be teaching this summer: linear algebra. I have come to realize that linear algebra is a very interesting and challenging class to teach for several reasons. One, it is a class "in between" two types of math classes: computational (like the c...
Project Information About this project: This is the Advanced Trigonometry Calculator project ("advantrigoncalc") This project was registered on SourceForge.net on Mar 19, 2011, and is described by the project team as follows: * You can use functions: all trigonometry, all hyperbolic, logarithm, arithmetic and stati...
Geometry Geometry is the branch of mathematics concerned with the measurements and relations of planar figures (segments lines, angles polygons, circles) and solids (rectangular solids, pyramids, cylinders, cones, spheres). The content also includes the development of deductive reasoning and an introduction to basic t...
The Conference Board of the Mathematical Sciences ( is an umbrella organization consisting of sixteen professional societies all of which have as one of their primary objectives the increase or diffusion of knowledge in one or more of the mathematical sciences. Its purpose is to promote understanding and cooperation am...
Secondary Mathematics III [2011] Understand solving equations as a process of reasoning and explain the reasoning. Extend to simple rational and radical equations. A.REI.2 Solve simple rational and radical equations in one variable, and give examples showing how extraneous solutions may arise. Applying Radical Equat...
For a one-semester course in Mathematical Statistics. This innovative new introduction to Mathematical Statistics covers the important concept of estimation at a point much earlier than other texts (Chapter 2). Thought-provoking pedagogical aids help students test their understandinThis text is intended primarily for a...
Operations with Real Numbers: Negative Exponents The basic operations with real numbers are presented in this chapter. The concept of absolute value is discussed both geometrically and symbolically. The geometric presentation offers a visual understanding of the meaning of |x|. The symbolic presentation includes a lit...
Inductive Reasoning, Part 1 of 3 In this video, Sal Khan uses a simple number pattern to help the viewer understand how to use inductive reasoning to figure out what the next number will be. (Because it is a simple number pattern, the viewer will know what the the next number is, but Mr. Khan explains how to answer the...
High School Advantage 2008 was specially developed to supplement classroom curriculum by including award-winning content that support state standards. In-depth lessons with sample problems and questions teach, reinforce and track student progress in the core subjects. A Complete Student Resource Center now on DVD with...
A no-nonsense, practical guide to help you improve your algebra skills with solid instruction and plenty of practice, practice, practice. Practice Makes Perfect: Algebra presents thorough coverage of skills, such as handling decimals and fractions, functions, and linear and quadratic equations. Inside you will find the...
Objective 4.02 Objective 4.03 Objective 4.04 Design experiments and list all possible outcomes and probabilities for an event. Goal 5 Algebra - The learner will demonstrate an understanding of mathematical relationships. Objective 5.01 Identify, describe, and generalize relationships in which: Quantities change...
Mathematical Excursions - 3rd edition Summary: MATHEMATICAL EXCURSIONS, Third Edition, teaches students that mathematics is a system of knowing and understanding our surroundings. For example, sending information across the Internet is better understood when one understands prime numbers; the perils of radioactive was...
Middle School Advantage 2008 delivers the most award-winning content aligned with classroom curriculum. Get the best results with over 9,000 lessons and 2,400 exercises in the core subjects. Take advantage of a premier educational tool that offers state standards-driven content to increase scores in key subject areas. ...
Use Technology to Explore Symmetry KaleidoMania! lets students dynamically create and analyze symmetric designs and explore the mathematics of symmetry. This CD and book of blackline masters offer a comprehensive unit on transformational geometry and symmetry. Students build important mathematical analysis skills that ...
Basic Math for Process Control Look Inside About A practical tutorial on the mathematics essential to the process control field, written by an experienced process control engineer for practicing engineers and students. A quick-and-easy review of the mathematics common to the field, including chapters on frequency re...
Real Analysis e-books in this category The Foundations of Analysis by Larry Clifton - arXiv , 2013 This is a detailed introduction to the real number system from a categorical perspective. We begin with the categorical definition of the natural numbers, review the Eudoxus theory of ratios, and then define the positiv...
unique feature of this compact student's introduction is that it presents concepts in an order that closely follows a standard mathematics curriculum, rather than structure the book along features of the software. As a result, the book provides a brief introduction to those aspects of the Mathematica software program m...
King Saud University seeks to become a leader in educational and technological innovation, scientific discovery and creativity through fostering an atmosphere of intellectual inspiration and partnership for the prosperity of society. Contribution Description We adapted the simulation for pre-calculus and calculus stu...
0618547185 9780618547180 on how to study math. Special student-success-oriented sections include chapter-opening Strategies for Success; What You Should Learn--and Why You Should Learn It; Section Objectives; Chapter Summaries and Study Strategies; Try Its; Study Tips; and Warm-Up exercises. In addition the text prese...
pre-algebra course centers on building the foundations of the student?s algebra. They will be introduced to variables, expressions, order of operations and basic problem solving skills. The course also introduces students to absolute value, the coordinate plane and different algebraic properties
Lesson Plan Factoring Polynomials Grade Levels Commencement , 9th Grade Description In this lesson, students will review multiplying two binomials together (FOIL) in the "Do-Now". Students will then learn how to factor a quadratic equation in the form of x2 + bx + c, when a is equal to 1. Support Materials SMART...
Hi everyone! I need some urgent help! I have had many problems with algebra lately. I mostly have difficulties with step-by-step answers to my algebra problems. I can't solve it at all, no matter how much I try. I would be very relieved if someone would give me some help on this matter. I really don't know why God mad...
Utilizing the manipulation of complex polynomials, quadratics, systems of equations, and trigonometric functions will help one be more prepared for calculus. Having taken calculus, algebra was a very important component in terms of simplifying equations into baser forms. This also allowed me to work with equations for ...
" Plain – English explanations and step-by-step guidance." Really? Well actually yes. This book gives a really nice and simple explanation (in human language) covering all the important aspects of this subject. So this is my shor review of this useful book. Like all of the "For Dummies" books, this one is also written...
Academic Success Center "Supporting Academic Excellence" MATH 0099--Intermediate Algebra(4 hours institutional credit) MATH 0099 is the second of two courses designed for students who are not prepared to enter a college core curriculum mathematics course. Intermediate Algebra consists of a study of exponents, polyno...
Representing Polynomials This lesson unit is intended to help educators assess how well students are able to translate between graphs and algebraic representations of polynomials
Math resources 2 1 A little embarrassed to say this but during unit 1 with the simple conversions of converting the speed of light into nanosticks or whatever I was a bit confused by the simple algebra..Does anyone know any excellent preferably free math resources concerning math you'd find in computer science such ...
Rent Textbook Buy Used Textbook Buy New Textbook Currently Available, Usually Ships in 24-48 Hours $166.40Normal 0 false false false MicrosoftInternetExplorer4 Intended for a 2-semester sequence of ElementaryandIntermediate Algebrawhere students get a solid foundation in algebra, including exposure to functions, wh...
Grade 11 Mathematics MBF3C1:Foundations for College Mathematics, Grade 11, College Preparation This course enables students to broaden their understanding of mathematics as a problem-solving tool in the real world. Students will extend their understanding of quadratic relations, as well as of measurement and geometry;...
a barbie world... Algebra is a fundamental part of a modest education in today's world. It could easily be taught to younger students and leaving it out would be an enormous disservice. It amazes me that many people - even those who claim to be educated - are almost proud when they say they can't do math. This seems t...
Office hours: I maintain an open door policy for office hours. I come to the office early each morning (usually 7:30 to 8:00) and if I am not tied up in a meeting or talking to another student I am available to you. Prerequisites for EMAT 4680/6680: MATH 2210 or 2260. If you have not studied differential and inferenti...
If you need to know it, it?s in this book. Cracking the AP Calculus AB and BC Exams, 2013 Edition has been optimized for e-reader viewing with cross-linked questions, answers, and explanations, and includes: ? 5 full-length practice tests with detailed explanations (3 for AB and 2 for BC) ? A comprehensive review of al...
Content on this page requires a newer version of Adobe Flash Player. Main Menu Foundation Maths Units 1 & 2 Â Mathematics is the study of function and pattern in number, logic, space and structure. It provides both a framework for thinking and a means of symbolic communication that is powerful, logical, concise and...
Buy now E-Books are also available on all known E-Book shops. Detailed description The fun and easy way to learn pre-calculus Getting ready for calculus but still feel a bit confused? Have no fear. Pre-Calculus For Dummies is an un-intimidating, hands-on guide that walks you through all the essential topics, from ab...
and people considering construction careers, this Essential Skills workbook offers exercises that students can use to refresh their math skills. The curriculum-based exercises are built around typical construction workplace tasks. It includes sections on measuring; dimension and area; elevation and grade; problems inv...
Excursions in Modern Mathematics, CourseSmart eTextbook, 7th Edition Description Exc CourseSmart textbooks do not include any media or print supplements that come packaged with the bound book. Table of Contents Part 1. The Mathematics of Social Choice 1. The Mathematics of Voting: The Paradox of Democracy 1.1 Pre...
TAKS (Texas Assessment of Knowledge and Skills) 2nd Edition 0738604445 9780738604442 and practice students need to excel. The book's review features all test objectives, including Numbers and Operations; Equations and Inequalities; Functions; Geometry and Spatial Sense; Measurement; Data Analysis and Probability; and...
The Sequoia Math Department teaches a comprehensive series of courses aligned to state standards designed to increase students' understanding and competency in increasingly complex mathematics. Our goals are to improve the success rate of all of our students and support all students in completing a high level of mathem...
Survey Of Mathmatics With Applications - 9th edition Summary: In a Liberal Arts Math course, a common question students ask is, ''Why do I have to know this?'' A Survey of Mathematics with Applicationscontinues to be a best-seller because it shows studentshowwe use mathematics in our daily lives andwhythis is importan...
Boonsboro, MDShipping:Standard, ExpeditedComments:Brand new. We distribute directly for the publisher. This book will help prepare the reader to c... [more] [[ Learning any area of abstract mathematics will involve writing formal proofs, but it is at least as important to learn to think intuitively about the subject an...
1. Solution of any second-order linear homogeneous equation or system with constant coefficient, and inhomogeneous equation with trig or exponential or constant or periodic rhs, or by variation of parameters. 2. Solution of first order linear ODE by integrating factor. 3. Solution of boundary value problems for y" + ly...
How to Solve It: A New Aspect of Mathematical MethodHow to Solve It: A New Aspect of Mathematical Method Book Description George Polya was a Hungarian mathematician. He wrote this, perhaps the most famous book of mathematics ever written, second only to Euclid's "Elements." "Solving problems," The method of solving pr...
Project Based Learning Pathways - David Graser A blog about real life projects suitable for college math courses such as algebra, finite math, and business calculus. Most of these applied math projects include handouts, videos, and other resources for students, as well as a project letter. Graser, ...more>> Public Dom...
The global spatial data model (GSDM) preserves the integrity of three-dimensional spatial data. Combining horizontal and vertical data into a single, three-dimensional database, this text provides a logical development of theoretical concepts and practical tools that can be used to handle spatial data efficiently. more...
NAS Software Inc. carries a wide variety of math programs geared towards students of all ages and levels. Our programs are very user friendly and aim to answer the students and teachers specific needs. We also carry programs suitable for independent learning. The following is a short description of some of our leading...
Book Introduction to Book The Language of Mathematics The purpose of any language, like English or Zulu, is to make it possible for people to communicate. All languages have an alphabet, which is a group of letters that are used to make up words. There are also rules of grammar which explain how words are supposed t...
Description Random walks are stochastic processes formed by successive summation of independent, identically distributed random variables and are one of the most studied topics in probability theory. This contemporary introduction evolved from courses taught at Cornell University and the University of Chicago by the f...
VHS Course Catalog AP® Calculus BC Section PA Prerequisites Four courses of secondary mathematics designed for the college bound student: courses covering algebra, geometry, trigonometry, analytic geometry, elementary functions and their notations. Students should have graphing calculators, access to a scanner and ac...
For the first part of the course we will be mainly in the Hersh book and we will also supplement that with readings from the web and other sources.We want to take an almost historical, cultural overview of some of the highlights of what occurred in "mathematics" with some tangential explorations along the way.After thi...
Description Algebra 2 is made up of five instructional components: Introduction of the New Increment, Examples with Complete Solutions, Practice of the Increment, Daily Problem Sets and Cumulative Tests. Algebra 2 not only treats topics that are traditionally covered in second-year algebra, but also covers a considerab...
Saxon's Math Intermediate 3 is a perfect transition into Saxon Math 5/4! Incremental lessons provide daily practice and assessment; mathematical concepts are taught through informative lessons, diagrams, interactive activities, and investigations that build critical thinking as well as real-world problem solving skills...
2000 Solved Problems in Discrete Mathematics 9780070380318 ISBN: 0070380317 Pub Date: 1991 Publisher: McGraw-Hill Summary: Master discrete mathematics with Schaum'sNthe high-performance solved-problem guide. It will help you cut study time, hone problem-solving skills, and achieve your personal best on exams! Stud...
Note: ClickScholar Nancy Hogan discovered this website and helped write the review. Her husband, Ron, is a prolific singer/songwriter, and you can read more about him at the end of this review. "Need help with Algebra? You've found the right place!" That's the claim of this website that offers an amazing algebra resou...
Book details Book description The goal of this book is to teach undergraduate students how to use Scientific Notebook (SNB ) to solve physics problems. SNB software combines word processing and mathematics in standard notation with the power of symbolic computation. As its name implies, SNB can be used as a notebook ...
Summary: This manual is organized to follow the sequence of topics in the text, and provides an easy-to-follow, step-by-step guide to help students fully understand and get the most out of their graphing calculator. The popular TI-83/84 Plus and the TI-84 Plus with the new operating system, featuring MathPrint'', are c...
MA Mathematics Domains of Study Areas of Study Within the M.A. in Mathematics Education Degree The WGU Master of Arts in Mathematics Education (K-6, 5-9 or 5-12) program content is based on research on effective instruction as well as national and state standards. It provides the knowledge and skills that enable teac...
Fundamentals of Piecewise Polynomial Interpolation, used in graphics, that takes you from linear interpolation to all the common curve drawing methods used in graphics. It uses only Algebra and avoids more complex mathematic notations as much as possible. It also includes a reference with all the common methods used fo...
Introduction to Mathematical Modeling 1. COURSE DESCRIPTION.Mathematical modeling uses graphical, numerical, symbolic, and verbal techniques to describe and explore real-world data and phenomena. Emphasis is on the use of elementary functions to investigate and analyze applied problems and questions , on the use of ap...
Learn More About Media4Math+: Sign up for a Webinar to get an Overview of Media4Math+! Media4Math produces video tutorials, TI Nspire Graphing Calculator Tutorials, PowerPoint presentations, Promethean Flipcharts, and other media content for algebra, geometry, and technology-based math instruction. Our materials can ...
Mathematics at Hills Road Maths students enjoy the subject and find it interesting - nearly half the students at Hills Road take one of the maths courses as part of their overall programme. Maths complements other subjects, supporting and enhancing understanding in the physical or social sciences or providing breadth ...
Summary: Updates the original, comprehensive introduction to the areas of mathematical physics encountered in advanced courses in the physical sciences. Intuition and computational abilities are stressed. Original material on DE and multiple integrals has been expanded
A study of the properties of real numbers, the properties of exponents and radicals, the arithmetic of polynomial and rational expressions, linear and quadratic equations and inequalities, systems of linear equations, and an introduction to functions. Problem-solving skills and critical-thinking skills are emphasized. ...
How To Solve Math Word Problems On Standardized Tests 1st Edition 0071376933 9780071376938 and language skills. It focuses on the category of test question that students dread the most and in which they do least well: mathematics word problems. Written by a national expert in mathematics education, it takes the fear ...
Incorporating Technology into Today's Mathematical Curriculum Dr. Belinda Wendt June 11, 1999 Abstract To adequately prepare students for advanced scientific and engineering courses and applications, PSEs (Problem-Solving Environments) such as MAPLE, MATLAB, and advanced scientific calculators have become essential...
What''s Calculus all about? Does Calculus have any relevance to our daily lives? Or is it just another conglomeration of mathematical symbols hardly making sense to most? This is a presentation to remove the 'fear' of Calculus among students and introduce the subject to a anyone who is a total stranger to the subject ...
what is pre-algebra? At least, he's taking the same course I took in 9th grade lo these many years ago. IIRC Ed seems to remember it all better than I do, and he says the same thing. Christopher is studying the stuff he studied as a freshman in high school. What is pre-algebra, anyway? Do we know? There wasn't any...