Preliminary Contents | |
Note: Each chapter concludes with a Chapter Summary, Review Exercises, a Chapter Test, Proofs in Mathematics, and P.S. Problem Solving | |
Prerequisites | |
Review of Real Numbers and Their Properties | |
Exponents and Radicals | |
Polynomials and Special Products | |
Factoring Polynomials | |
Rational Expressions | |
Errors and the Algebra of Calculus | |
The Rectangular Coordinate System and Graphs | |
Equations, Inequalities, and Mathematical Modeling | |
Graphs of Equations | |
Linear Equations in One Variable | |
Modeling with Linear Equations | |
Quadratic Equations and Applications | |
Complex Numbers | |
Other Types of Equations | |
Linear Inequalities in One Variable | |
Other Types of Inequalities | |
Functions and Their Graphs | |
Linear Equations in Two Variables | |
Functions | |
Analyzing Graphs of Functions | |
A Library of Functions | |
Transformations of Functions | |
Combinations of Functions: Composite Functions | |
Inverse Functions Cumulative Test: Chapters P–2 | |
Polynomial Functions | |
Quadratic Functions and Models | |
Polynomial Functions of Higher Degree | |
Polynomial and Synthetic Division | |
Zeros of Polynomial Functions | |
Mathematical Modeling and Variation | |
Rational Functions and Conics | |
Rational Functions and Asymptotes | |
Graphs of Rational Functions | |
Conics | |
Translations of Conics | |
Exponential and Logarithmic Functions | |
Exponential Functions and Their Graphs | |
Logarithmic Functions and Their Graphs | |
Properties of Logarithms | |
Exponential and Logarithmic Equations | |
Exponential and Logarithmic Models Cumulative Test: Chapters 3–5 | |
Systems of Equations and Inequalities | |
Linear and Nonlinear Systems of Equations | |
Two-Variable Linear Systems | |
Multivariable Linear Systems | |
Partial Fractions | |
Systems of Inequalities | |
Linear Programming | |
Matrices and Determinants | |
Matrices and Systems of Equations | |
Operations with Matrices | |
The Inverse of a Square Matrix | |
The Determinant of a Square Matrix | |
Applications of Matrices and Determinants | |
Sequences, Series, and Probability | |
Sequences and Series | |
Arithmetic Sequences and Partial Sums | |
Geometric Sequences and Series | |
Mathematical Induction | |
The Binomial Theorem | |
Counting Principles | |
Probability Cumulative Test: Chapters 6–8 | |
Appendix | |
Concepts in Statistics (web) | |
Representing Data | |
Measures of Central Tendency and Dispersion | |
Least Squares Regression Alternative/Expanded Version of Chapter | |
P (Resource CD and Web) | |
Operations with Real Numbers (Pick up from Int. Alg. G&F 3/e Appendix A.1) | |
Properties of Real Numbers (Pick up from Int. Alg. G&F 3/e Appendix A.2) | |
Algebraic Expressions (Pick up from Int. Alg. G&F 3/e Section 1.1) | |
Operations with Polynomials (Pick up from Int. Alg. G&F 3/e Section 1.2) | |
Factoring Polynomials (Pick up from Int. Alg. G&F 3/e Section 1.3) | |
Factoring Trinomials (Pick up from Int. Alg. G&F 3/e Section 1.4) | |
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