Precalculus

by Paul Sisson

ISBN ListTable of Contents

Precalculus textbook and software

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Precalculus starts off with several lessons familiar to students coming from a college algebra course—reviewing topics like linear inequalities, quadratic equations, and inverses of functions—before covering more advanced topics to prepare them for calculus. The text explains elements of trigonometry in detail.

Textbook

Precalculus, by Paul Sisson 2/E

ISBN

Product 13 Digit ISBN
Courseware + eBook* 978-1-941552-91-9
Courseware + eBook* + Textbook 978-1-941552-90-2
* Included eBook can only be accessed online through the courseware.

Table of Contents

Chapter 1: Number Systems and Equations of One Variable
1.1a The Real Number System
1.1b The Arithmetic of Algebraic Expressions
1.2a Properties of Exponents
1.2b Scientific Notation and Geometric Problems Using Exponents
1.2c Properties of Radicals
1.2d Rational Number Exponents
1.3 Polynomials and Factoring
1.4 The Complex Number System
1.5a Linear Equations in One Variable
1.5b Applications of Linear Equations in One Variable
1.6 Linear Inequalities in One Variable
1.7a Quadratic Equations in One Variable
1.7b Higher Degree Polynomial Equations
1.8a Rational Expressions and Equations
1.8b Radical Equations
  Chapter 1 Review and Test
Chapter 2: Introduction to Equations and Inequalities of Two Variables
2.1 The Cartesian Coordinate System
2.2 Linear Equations in Two Variables
2.3 Forms of Linear Equations
2.4 Parallel and Perpendicular Lines
2.5 Linear Inequalities in Two Variables
2.6 Introduction to Circles
  Chapter 2 Review and Test
Chapter 3: Relations, Functions, and Their Graphs
3.1 Relations and Functions
3.2a Linear and Quadratic Functions
3.2b Max/Min Applications of Quadratic Functions
3.3 Other Common Functions
3.4 Variation and Multi-Variable Functions
3.5 transformations of Functions
3.6 Combining Functions
3.7 Inverses of Functions
  Chapter 3 Review and Test
Chapter 4: Polynomial Functions
4.1 Introduction to Polynomial Equations and Graphs
4.2 Polynomial Division and the Division Algorithm
4.3 Locating Real Zeros of Polynomials
4.4 The Fundamental Theorem of Algebra
4.5 Rational Functions and Rational Inequalities
  Chapter 4 Review and Test
Chapter 5: Exponential and Logarithmic Functions
5.1 Exponential Functions and Their Graphs
5.2 Applications of Exponential Functions
5.3 Logarithmic Functions and Their Graphs
5.4 Properties and Applications of Logarithms
5.5 Exponential and Logarithmic Equations
  Chapter 5 Review and Test
Chapter 6: Trigonometric Functions
6.1 Radian and Degree Measure of Angles
6.2 Trigonometric Functions of Acute Angles
6.3 Trigonometric Functions of Any Angle
6.4 Graphs of Trigonometric Functions
6.5 Inverse Trigonometric Functions
  Chapter 6 Review and Test
Chapter 7: Trigonometric Identities and Equations
7.1 Fundamental Identities and Their Uses
7.2 Sum and Difference Identities
7.3 Product - Sum Identities
7.4 Trigonometric Equations
  Chapter 7 Review and Test
Chapter 8: Additional Topics in Trigonometry
8.1a The Law of Sines and the Law of Cosines
8.1b Areas of triangles
8.2 Polar Coordinates and Polar Equations
8.3a Parametric Equations - Graphing and Applications
8.3b Parametric Equations - Eliminating the Parameter
8.3c Parametric Equations - Constructing Equations
8.4a Trigonometric Form of Complex Numbers
8.4b Operations with Complex Numbers
8.5 Vectors in the Cartesian Plane
8.6 The Dot Product and its Uses
  Chapter 8 Review and Test
Chapter 9: Conic Sections
9.1 The Ellipse
9.2 The Parabola
9.3 The Hyperbola
9.4 Rotation of Conics
9.5 Polar Form of Conic Sections
  Chapter 9 Review and Test
Chapter 10: Systems of Equations
10.1 Solving Systems by Substitution and Elimination
10.2 Matrix Notation and Gaussian Elimination
10.3 Determinants and Cramer's Rule
10.4 The Algebra of Matrices
10.5 Inverses of Matrices
10.6 Partial Fraction Decomposition
10.7 Linear Programming
10.8 Nonlinear Systems of Equations
  Chapter 10 Review and Test
Chapter 11: An Introduction to Sequences, Series, and Probability
11.1 Sequences and Series
11.2 Arithmetic Sequences and Series
11.3 Geometric Sequences and Series
11.4 Mathematical Induction
11.5a An Introduction to Combinatorics - Counting, Permutations, and Combinations
11.5b An Introduction to Combinatorics - The Binomial and Multinomial Theorems
11.6 An Introduction to Probability
  Chapter 11 Review and Test