College Algebra

by Paul Sisson

ISBN List Table of Contents

College Algebra textbook and software

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College Algebra is accessible to both students who will take higher-level math courses after algebra and students for whom algebra will be their last college math course. The material is both comprehensive and rigorous and provides examples that apply to everyday life. Each chapter provides historical contexts on algebraic concepts, technology notes, and application examples.

Textbook

College Algebra, by Paul Sisson 2/E

ISBN

Product 13 Digit ISBN
Courseware + eBook* 978-1-941552-74-2
Courseware + eBook* + Textbook 978-1-941552-40-7
* Included eBook can only be accessed online through the courseware.

Table of Contents

Chapter 1: Number Systems and Fundamental Concepts of Algebra
1.1 The Real Number System
1.2 The Arithmetic of Algebraic Expressions
1.3a Properties of Exponents
1.3b Scientific Notation and Geometric Problems Using Exponents
1.4a Properties of Radicals
1.4b Rational Number Exponents
1.5 Polynomials and Factoring
1.6 The Complex Number System
Chapter 2: Equations and Inequalities of One Variable
2.1a Frequency Distributions
2.1b Applications of Linear Equations in One Variable
2.2 Linear Inequalities in One Variable
2.3 Quadratic Equations in One Variable
2.4 Higher Degree Polynomial Equations
2.5 Rational Expressions and Equations
2.6 Radical Equations
Chapter 3: Linear Equations and Inequalities of Two Variables
3.1 The Cartesian Coordinate System
3.2 Linear Equations in Two Variables
3.3 Forms of Linear Equations
3.4 Parallel and Perpendicular Lines
3.5 Linear Inequalities in Two Variables
3.6 Introduction to Circles
Chapter 4: Relations, Functions, and their Graphs
4.1 Relations and Functions
4.2a Linear and Quadratic Functions
4.2b Max/Min Applications of Quadratic Functions
4.3a Other Common Functions
4.3b Direct and Inverse Variation
4.4 Transformations of Functions
4.5 Combining Functions
4.6 Inverses of Functions
Chapter 5: Polynomial Functions
5.1 Introduction to Polynomial Equations and Graphs
5.2 Polynomial Division and the Division Algorithm
5.3 Locating Real Zeros of Polynomials
5.4 The Fundamental Theorem of Algebra
Chapter 6: Rational Functions and Conic Sections
6.1 Rational Functions and Rational Inequalities
6.2 The Ellipse
6.3 The Parabola
6.4 The Hyperbola
Chapter 7: Exponential and Logarithmic Functions
7.1 Exponential Functions and their Graphs
7.2 Applications of Exponential Functions
7.3 Logarithmic Functions and their Graphs
7.4 Properties and Applications of Logarithms
7.5 Exponential and Logarithmic Equations
Chapter 8: Systems of Equations
8.1 Solving Systems by Substitution and Elimination
8.2 Matrix Notation and Gaussian Elimination
8.3 Determinants and Cramer's Rule
8.4 The Algebra of Matrices
8.5 Inverses of Matrices
8.6 Linear Programming
8.7 Nonlinear Systems of Equations
Chapter 9: An Introduction to Sequences, Series, Combinatorics, and Probability
9.1 Sequences and Series
9.2 Arithmetic Sequences and Series
9.3 Geometric Sequences and Series
9.4 Mathematical Induction
9.5a An Introduction to Combinatorics - Counting, Permutations, and Combinations
9.5b An Introduction to Combinatorics - The Binomial and Multinomial Theorems
9.6 An Introduction to Probability
Appendix
A.1 Introduction to Polynomial Equations and Graphs (excluding complex numbers)
A.2 Polynomial Division and the Division Algorithm (excluding complex numbers)
A.3 Locating Real Zeros of Polynomials (excluding complex numbers)
A.4 The Fundamental Theorem of Algebra (excluding complex numbers)