Index to College Algebra Notes

These notes come from handouts and class notes in collge algebra. Some of these are in .pdf format and require the installation of the Adobe Acrobat Reader (see www.adobe.com). Other files use MathML format, (.xht) and must be viewed with Firefox. They can also be viewed with Internet Explorer if you have installed the free Math Player plug-in from Design Science.

Week 1

Functions (Firefox .xht file)

Even and odd functions (Firefox .xht file)

Piecewise-defined functions (Firefox .xht file)

Transformations of Graphs (.pdf file)

Interactive page illustrating transformations of f(x) = x². Note: Java must be installed for the applet to run.

Week 2

Combining functions (Firefox .xht file)

Inverses of relations and functions (Firefox .xht file)

Linear functions (Firefox .xht file). Also look at this interactive lines link (html plus Java)

Examples of using the formulas for straight lines

Week 3

Quadratic functions and their graphs

Complex numbers

Solving quadratic equations outline

Examples of solutions of quadratic equations

Interactive quadratic equation solver applet (Java required)

Calculator program (TI-83 or -84) for solving quadratic equations

Week 4

Solving equations containing radical signs

Solving quadratic type equations

Solving linear inequalities

Solving equations containing absolute value expressions

Solving inequalities containing absolute value expressions

Week 5

Graphs of polynomial functions

Week 6

Division of polynomials, synthetic division notes (under construction)

Finding zeros of polynomials with the Factor Theorem (.pdf)

Approximating zeros of polynomials with the calculator (.xht)

Week 7

Rational functions, asymptotes, and their graphs

Pencast notes on rational functions

Exponential functions: graphs (Java required)

Exponential functions: applications (.xht)

Week 8

Pencast notes on logarithms

Logarithm functions: graphs (Java required)

Logarithm functions: applications (.xht)

Week 9

Solving equations with exponential and logarithm functions (.xht)

Week 10

Introduction to solving systems of linear equations (.xht)

Link to a tutorial on doing matrices on a TI-83 calculator (pdf). This tutorial also applies to the TI-83 Plus and TI-84 with the exception that the top-level matrix menu is accessed with a [2nd] key.

Using matrices and Gaussian Reduction to solve a system of linear equations (.xht)

Gaussian Reduction and the calculator rref (reduced row echelon form) command (.pdf)

Pencast notes on solving a system with Gaussian Reduction and the calculator rref command

Week 11

Operations on matrices (.xht)

Determinants and inverses of square matrices (.xht)

Solving systems of linear equations with matrix inverses (pdf)

Pencast notes on solving linear systems with matrix inverses part 1

Pencast notes on solving linear systems with matrix inverses part 2, singular matrix case

Week 12

Circles: formulas and examples (.xht with a GeoGebra applet: you need Java)

Week 13

Parabolas: formulas and exampes (.xht with a GeoGebra applet: you need Java)

Ellipse: an introduction (.xht with a GeoGebra applet: you need Java)

Hyperbola: an introduction (.xht with a GeoGebra applet: you need Java)

Second-degree equations and their graphs

Solving systems with nonlinear equations

Pencast notes on solving a nonlinear system

Week 14

Introduction to sequences (.xht)

Pencast notes on sequences and series

Arithmetic and geometric sequence formulas (.pdf)

Arithmetic and geometric sequence examples

Binomial Theorem and its applications

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05/03/2011