College Algebra with Trigonometry

1 Basic Algebraic Operations 1-1 Algebra & Real Numbers 1-2 Polynomials: Basic Operations 1-3 Polynomials: Factoring 1-4 Rational Expressions: Basic Operations 1-5 Integer Exponents 1-6 Rational Exponents 1-7 Radicals Chapter 1 Review 2 Equations and Inequalities 2-1 Linear Equations & Applications 2-2 Systems of Linear Equations & Applications 2-3 Linear Inequalities 2-4 Absolute Value in Equations and Inequalities 2-5 Complex Numbers 2-6 Quadratic Equations & Applications 2-7 Equations Reducible to Quadratic Form 2-8 Polynomial & Rational Inequalities Chapter 2 Review 1&2 Cumulative Review Exercises 3 Graphs and Functions 3-1 Basic Tools: Circles 3-2 Straight Lines 3-3 Functions 3-4 Graphing Functions 3-5 Operations on Functions: Composition 3-6 Inverse Functions Chapter 3 Review 4 Polynomial and Rational Functions 4-1 Graphing Polynomials 4-2 Zeros of Polynomials 4-3 Graphing Rational Functions 4-4 Partial Functions Chapter 4 Review 5 Exponential and Logarithmic Functions 5-1 Exponential Functions 5-2 The Exponential Function With Base e 5-3 Logarithmic Functions 5-4 Common and Natural Logarithmic Functions 5-5 Exponential & Logarithmic Equations Chapter 5 Review Cumulative Review Exercise (chapter 3-5) 6 Trigonometric Functions 6-1 Angles and Their Measure 6-2 Trigonometric Functions - Acute Angle Domains 6-3 Trigonometric Functions - General Angle and Real Number 6-4 Exact Values for Special Angles and Real Numbers 6-5 Circular Functions 6-6 Graphing Basic Trigonometric Functions 6-7 Graphing y= k + A sin(Bx+C) and y= k + A cos(Bx + C) 6-8 Graphing More General Tangent, Cotangent, Secant and Cosecant Functions 6-9 Inverse Trigonometric Functions Chapter 6 Review 7 Trigonometric Identities and Conditional Equations 7-1 Basic Identities and Their Use 7-2 Sum, Difference, and Cofunction Identities 7-3 Double-Angle and Half-Angle Identities 7-4 Product-Sum and Sum-Product Identities 7-5 Trigonometric Equations Chapter 7 Review 8 Additional Topics in Trigonometry 8-1 Law of Sines 8-2 Law of Cosines 8-3 Geometric Vectors 8-4 Algebraic Vectors 8-5 Polar Coordinates and Graphs 8-6 Complex Numbers in Rectangular and Polar Forms 8-7 De Moivre's Theorem Chapter 8 Review Cumulative Review Exercises (Chapters 6-8) 9 Systems of Equations and Inequalities 9-1 Systems of Linear Equations and Augmented Matrices 9-2 Gauss-Jordan Elimination 9-3 Systems Involving Second-Degree Equations 9-4 Systems of Linear Inequalities in Two Variables 9-5 Linear Programming Chapter 9 Review 10 Matrices and Determinants 10-1 Matrices: Basic Operations 10-2 Inverse of a Square Mix 10-3 Matrix Equations and Systems of Linear Equations 10-4 Determinants 10-5 Properties of Determinants 10-6 Cramer's Rule Chapter 10 Review Cumulative Review Exercise (Chapters 9 and 10) 11 Sequences and Series 11-1 Sequences and Series 11-2 Mathematical Induction 11-3 Arithmetic & Geometric Sequences 11-4 Binomial Formula. (part contents)