| |
| |
| |
Algebra Review | |
| |
| |
The Real Number System | |
| |
| |
Special Topics: Decimal Representation of Real Numbers | |
| |
| |
Integral Exponents | |
| |
| |
Roots, Radicals, and Rational Exponents | |
| |
| |
Polynomials | |
| |
| |
Factoring | |
| |
| |
Rational Expressions. | |
| |
| |
Chapter 0 Review | |
| |
| |
Discovery Project 0 | |
| |
| |
| |
Graphs And Technology | |
| |
| |
The Coordinate Plane | |
| |
| |
Graphs and Graphing Technology | |
| |
| |
Lines | |
| |
| |
Linear Models. | |
| |
| |
Chapter 1 Review | |
| |
| |
Discovery Project 1 | |
| |
| |
| |
Equations And Inequalities | |
| |
| |
First-Degree Equations and Applications | |
| |
| |
Special Topics: Variation | |
| |
| |
Quadratic Equations and Applications | |
| |
| |
Solving Equations Graphically and Numerically | |
| |
| |
Polynomial, Radical, and Absolute Value Equations | |
| |
| |
Linear Inequalities | |
| |
| |
Polynomial and Rational Inequalities. | |
| |
| |
Chapter 2 Review | |
| |
| |
Discovery Project 2 | |
| |
| |
| |
Functions And Graphs | |
| |
| |
Functions | |
| |
| |
Functional Notation | |
| |
| |
Graphs of Functions | |
| |
| |
Special Topics: Parametric Graphing | |
| |
| |
Graphs and Transformations | |
| |
| |
Special Topics: Symmetry | |
| |
| |
Operations on Functions | |
| |
| |
Rates of Change | |
| |
| |
Special Topics: Instantaneous Rates of Change. | |
| |
| |
Chapter 3 Review | |
| |
| |
Discovery Project 3 | |
| |
| |
| |
Polynomial And Rational Functions | |
| |
| |
Quadratic Functions and Models | |
| |
| |
Polynomial Functions and Roots | |
| |
| |
Special Topics: Synthetic Division | |
| |
| |
Graphs of Polynomial Functions | |
| |
| |
Special Topics: Optimization Applications | |
| |
| |
Polynomial Models | |
| |
| |
Rational Functions | |
| |
| |
Special Topics: Other Rational Functions | |
| |
| |
Complex Numbers | |
| |
| |
The Fundamental Theorem of Algebra. | |
| |
| |
Chapter 4 Review | |
| |
| |
Discovery Project 4 | |
| |
| |
| |
Exponential And Logarithmic Functions | |
| |
| |
Exponential Functions | |
| |
| |
Applications of Exponential Functions | |
| |
| |
Common and Natural Logarithmic Functions | |
| |
| |
Properties of Logarithms | |
| |
| |
Special Topics: Logarithms to Other Bases | |
| |
| |
Solving Exponential and Logarithmic Equations Algebraically | |
| |
| |
Exponential, Logarithmic, and Other Models | |
| |
| |
Inverse Functions. | |
| |
| |
Chapter 5 Review | |
| |
| |
Discovery Project 5 | |
| |
| |
| |
Systems Of Equations And Inequalities | |
| |
| |
Systems of Linear Equations in Two Variables | |
| |
| |
Special Topics: Systems of Nonlinear Equations | |
| |
| |
Large Systems of Linear Equations | |
| |
| |
Matrix Solution Methods | |
| |
| |
Matrix Methods for Square Systems | |
| |
| |
Special Topics: Matrix Algebra | |
| |
| |
Systems of Linear Inequalities | |
| |
| |
Introduction to Linear Programming. | |
| |
| |
Chapter 6 Review | |
| |
| |
Discovery Project 6 | |
| |
| |
| |
Discrete Algebra | |
| |
| |
Sequences and Sums | |
| |
| |
Arithmetic Sequences | |
| |
| |
Geometric Sequences | |
| |
| |
Special Topics: Infinite Series | |
| |
| |
The Binomial Theorem | |
| |
| |
Permutations and Combinations | |
| |
| |
Special Topics: Distinguishable Permutations | |
| |
| |
Introduction to Probability | |
| |
| |
Mathematical Induction. | |
| |
| |
Chapter 7 Review | |
| |
| |
Discovery Project 7 | |
| |
| |
| |
Analytic Geometry | |
| |
| |
Circles and Ellipses | |
| |
| |
Hyperbolas | |
| |
| |
Parabolas | |
| |
| |
Special Topics: Rotations and Second-Degree Equations. | |
| |
| |
Chapter 8 Review | |
| |
| |
Discovery Project 8 | |
| |
| |
Geometry Review Appendix | |
| |
| |
Program Appendix. | |