| |
| |
| |
Some Basic Concepts of Algebra: A Review | |
| |
| |
| |
Some Basic Ideas | |
| |
| |
| |
Exponents | |
| |
| |
| |
Polynomials | |
| |
| |
| |
Factoring Polynomials | |
| |
| |
| |
Rational Expressions | |
| |
| |
| |
Radicals | |
| |
| |
| |
Relationship Between Exponents and Roots | |
| |
| |
| |
Complex Numbers | |
| |
| |
| |
Review Problem Set | |
| |
| |
| |
Test | |
| |
| |
| |
Equations, Inequalities, and Problem Solving | |
| |
| |
| |
Linear Equations and Problem Solving | |
| |
| |
| |
More Equations and Applications | |
| |
| |
| |
Quadratic Equations | |
| |
| |
| |
Applications of Linear and Quadratic Equations | |
| |
| |
| |
Miscellaneous Equations | |
| |
| |
| |
Inequalities | |
| |
| |
| |
Quadratic Inequalities and Inequalities Involving Quotients | |
| |
| |
| |
Absolute Value Equations and Inequalities | |
| |
| |
| |
Review Problem Set | |
| |
| |
| |
Test | |
| |
| |
| |
Coordinate Geometry and Graphing Techniques | |
| |
| |
| |
Coordinate Geometry | |
| |
| |
| |
Graphing Techniques: Linear Equations and Inequalities | |
| |
| |
| |
Determining the Equation of a Line | |
| |
| |
| |
More on Graphing | |
| |
| |
| |
Circles, Ellipses, and Hyperbolas | |
| |
| |
| |
Review Problem Set | |
| |
| |
| |
Test | |
| |
| |
| |
Cumulative Review Problem Set | |
| |
| |
| |
Functions | |
| |
| |
| |
Concept of a Function | |
| |
| |
| |
Linear Functions and Applications | |
| |
| |
| |
Quadratic Functions and Applications | |
| |
| |
| |
Transformations of Some Basic Curves | |
| |
| |
| |
Combining Functions | |
| |
| |
| |
Direct and Inverse Variation | |
| |
| |
| |
Review Problem Set 1 | |
| |
| |
| |
Test | |
| |
| |
| |
Cumulative Review Problem Set | |
| |
| |
| |
Polynomial and Rational Functions | |
| |
| |
| |
Dividing Polynomials and Synthetic Division | |
| |
| |
| |
Remainder and Factor Theorems | |
| |
| |
| |
Polynomial Equations | |
| |
| |
| |
Graphing Polynomial Functions | |
| |
| |
| |
Graphing Rational Functions | |
| |
| |
| |
More on Graphing Rational Functions | |
| |
| |
| |
Review Problem Set | |
| |
| |
| |
Test | |
| |
| |
| |
Cumulative Review Problem Set | |
| |
| |
| |
Exponential and Logarithmic Functions | |
| |
| |
| |
Exponents and Exponential Functions | |
| |
| |
| |
Applications of Exponential Functions | |
| |
| |
| |
Inverse Functions | |
| |
| |
| |
Logarithms | |
| |
| |
| |
Logarithmic Functions | |
| |
| |
| |
Exponential Equations, Logarithmic Equations, and Problem Solving: | |
| |
| |
| |
Review Problem Set | |
| |
| |
| |
Test | |
| |
| |
| |
Cumulative Review Problem Set | |
| |
| |
| |
Systems of Equations | |
| |
| |
| |
Systems of Two Linear Equations in Two Variables | |
| |
| |
| |
Systems of Three Linear Equations in Three Variables | |
| |
| |
| |
Matrix Approach to Solving Linear Systems | |
| |
| |
| |
Determinants | |
| |
| |
| |
Cramer's Rule | |
| |
| |
| |
Partial Fractions | |
| |
| |
| |
Review Problem Set | |
| |
| |
| |
Test | |
| |
| |
| |
Cumulative Review Problem Set | |
| |
| |
| |
Algebra of Matrices | |
| |
| |
| |
Algebra of 2 � 2 Matrices | |
| |
| |
| |
Multiplicative Inverses | |
| |
| |
| |
m � n Matrices | |
| |
| |
| |
Systems of Linear Inequalities: Linear Programming | |
| |
| |
| |
Review Problem Set | |
| |
| |
| |
Test | |
| |
| |
| |
Cumulative Review Problem Set | |
| |
| |
| |
Conic Sections | |
| |
| |
| |
Parabolas | |
| |
| |
| |
Ellipses | |
| |
| |
| |
Hyperbolas | |
| |
| |
| |
Systems Involving Nonlinear Equations | |
| |
| |
| |
Review Problem Set | |
| |
| |
| |
Test | |
| |
| |
| |
Cumulative Review Problem Set | |
| |
| |
| |
Sequences and Mathematical Induction | |
| |
| |
| |
Arithmetic Sequences | |
| |
| |
| |
Geometric Sequences | |
| |
| |
| |
Another Look at Problem Solving | |
| |
| |
| |
Mathematical Induction | |
| |
| |
| |
Review Problem Set | |
| |
| |
| |
Test | |
| |
| |
| |
Binomial Theorem | |