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Solving Simultaneous Equations Using the TI-89
Number Theory: Fermat's Last Theorem
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COLLEGE ALGEBRA
Course Syllabus for Intermediate Algebra
Solving Inequalities with Logarithms and Exponents
Introduction to Algebra Concepts and Skills
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SYLLABUS FOR COLLEGE ALGEBRA
Elementary Linear Algebra
Adding and Subtracting Fractions without a Common Denominator
Pre-Algebra and Algebra Instruction and Assessments
Mathstar Research Lesson Plan
Least Common Multiple
Division of Polynomials
Counting Factors,Greatest Common Factor,and Least Common Multiple
Fractions
Real Numbers, Exponents and Radicals
Math 115 Final Exam Review
Root Finding and Nonlinear Sets of Equations
Math 201-1 Final Review Sheet
Powers of Ten and Calculations
Solving Radical Equations
INTERMEDIATE ALGEBRA WITH APPLICATIONS COURSE SYLLABUS
EASY PUTNAM PROBLEMS
INTRODUCTION TO MATLAB
Factoring Polynomials
Section 8
Declining Price, Profits and Graphing
Arithmetic and Algebraic Structures
Locally Adjusted Robust Regression
Topics in Mathematics
INTERMEDIATE ALGEBRA
Syllabus for Mathematics
The Quest To Learn The Universal Arithmetic
Solving Linear Equations in One Variable
Examples of direct proof and disproof
ELEMENTARY ALGEBRA
NUMBER THEORY
Algebra I
Quadratic Functions and Concavity
Algebra
More on Equivalence Relations
Solve Quadratic Equations by the Quadratic Formula
Solving Equations and Inequaliti
MATH 120 Exam 3 Information
Rational Number Ideas and Symbols
Math Review Sheet for Exam 3
Polynomials
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Math 097 Test 2
Intermediate Algebra Syllabus
How to Graphically Interpret the Complex Roots of a Quadratic Equation
The General, Linear Equation
Written Dialog for Problem Solving
Radian,Arc Length,and Area of a Sector
Internet Intermediate Algebra
End Behavior for linear and Quadratic Functions
Division of Mathematics
161 Practice Exam 2
Pre-calculus
General linear equations
Algebraic Symmetries
Math 20A Final Review Outline
Description of Mathematics
Math 150 Lecture Notes for Chapter 2 Equations and Inequalities
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Basic Operations with Decimals: Division
Mathematics Content Expectations
Academic Systems Algebra Scope and Sequence
Syllabus for Introduction to Algebra
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Environmental Algebra
Polynomials
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INTERMEDIATE ALGEBRA COURSE SYLLABUS
Intermediate Algebra
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Intermediate Algebra
Rational Expressions and Their Simplification
Course Syllabus for Intermediate Algebra
GRE Review - Algebra
Foundations of Analysis
Finding Real Zeros of Polynomial Functions
Model Academic Standards for Mathematics
Visual-Fraction-Addition-Teaching-Method
Study Guide for Math 101 Chapter 3
Real Numbers
Math 9, Fall 2009, Calendar
Final Review Solutions
Exponential and Logarithmic Functions





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INTERMEDIATE ALGEBRA

I. SETS

 A. Define set, element, finite and infinite sets, empty set
 B. Relations between sets: subset, proper subset, equal sets
 C. Set operations: union, intersection and complement
 D. Set-builder notation
 E. The set of natural numbers
 F. The set of integers
 G. The set of rational numbers
 H. The set of real numbers
  1. Operations
  2. Commutative, associative, and distributive properties
  3. Identity and inverse elements

II. LINEAR EQUATIONS AND INEQUALITIES IN ONE VARIABLE

 A. Review of techniques for solving linear equations and inequalities in one variable
 B. Review solving literal equations for a specified variable
 C. Absolute value
  1. Definition and examples
  2. Equations of the form |*ax + b*|= c
  3. Inequalities of the form |*ax + b *|< c
  4. Inequalities of the form |*ax + b *|> c
 D. Word problems (mixture, distance, age, money, and interest)

III. LINEAR EQUATIONS AND INEQUALITIES IN TWO AND THREE VARIABLES

 A. Definition and examples of linear equations
 B. Review of the rectangular coordinate system
 C. Graphing linear equations in two variables
  1. Intercept method
  2. The slope concept
  3. The slope-intercept form
 D. Systems of linear equations in two variables
  1. Classification of systems: Consistent, inconsistent, and dependent
  2. Representation by graphs
  3. Substitution
  4. Elimination by addition
 E. Systems of linear equations in three variables
  1. Classification: unique solution, no solution, infinite number of solutions
  2. Substitution
  3. Elimination by addition
 F. Solving graphically linear inequalities in two variables
 G. Solving graphically systems of linear inequalities in two variables

IV. POLYNOMIALS IN ONE OR MORE VARIABLES

 A. Laws of integral exponents; multiplication of monomials
 B. Addition and subtraction
 C. Multiplication of two polynomials, including FOIL method
 D. Special products
  1. Square of a binomial
  2. Multiplying the sum and difference of two terms
 E. Division
  1. Polynomial by a monomial
  2. Polynomial by a polynomial
 F. Factoring
  1. Polynomials with a common factor
  2. The difference of two squares
  3. Perfect square trinomials
  4. General trinomials
  5. Sum and difference of perfect cubes
  6. Factoring by grouping

V. ALGEBRAIC FRACTIONS

 A. Multiplication and division
 B. Simplest form of a fraction, restrictions on the variable
 C. Least common multiple
 D. Addition and subtraction
 E. Complex fractions
 F. Fractional equations that reduce to linear equations

VI. EXPONENTS AND RADICALS

 A. Radicals
  1. Definitions
  2. Laws of radicals
  3. Simplest radical form
 B. Operations with radical expressions
  1. Addition and subtraction
  2. Multiplication
  3. Division: rationalizing denominator
(including conjugates and roots other than the square root)
 C. Rational exponents
  1. Definitions
  2. Laws of exponents
  3. Simplifying expressions involving rational exponents
 D. Solving equations involving radicals that reduce to linear equations

VII. QUADRATIC EQUATIONS

 A. Review of solving by factoring
 B. Factoring by completing the square
 C. Quadratic formula (derivation and use)
 D. Word problems
  1. Number problems
  2. Area problems
 E. Graphing parabolas
  1. Vertex
  2. Intercepts
  3. Symmetry
 F. Solving quadratic inequalities
 G. Solving fractional and radical equations that reduce to quadratic equations

VIII. RELATIONS AND FUNCTIONS

 A. Definition and examples
 B. Domain and range
 C. Graphs
 D. Functions
  1. Definition and examples
  2. Notation
  3. Graphs and the vertical-line test

IX. LOGARITHMS

A. Definition
B. Base ten logarithms and antilogarithms (computation kept to a minimum)
C. Laws of logarithms

 *5. Solving simple exponential and logarithmic equations

*Optional