College Algebra Crash Course for STEM Majors

Table of Contents SourceCollege Algebra (6th Edition, Stewart, Redlin, Watson)

CHAPTER 1 – Equations and Graphs
1.1 The Coordinate Plane
1.2 Graphs of Equations in Two Variables
1.3 Lines
1.4 Solving Equations Graphically
1.5 Modeling with Equations
1.6 Solving Quadratic Equations
1.7 Solving Other Types of Equations
1.8 Solving Inequalities
1.9 Solving Absolute Value Equations and Inequalities

CHAPTER 2 – Functions
2.1 Functions
2.2 Graphs of Functions
2.3 Getting Information from the Graph of a Function
2.4 Average Rate of Change of a Function
2.5 Transformations of Functions
2.6 Combining Functions
2.7 One-to-One Functions and Their Inverses

CHAPTER 3 – Polynomial and Rational Functions
3.1 Quadratic Functions and Models
3.2 Polynomial Functions and Their Graphs
3.3 Dividing Polynomials
3.4 Real Zeros of Polynomials
3.5 Complex Numbers
3.6 Complex Zeros and the Fundamental Theorem of Algebra
3.7 Rational Functions
3.8 Modeling Variation

CHAPTER 4 – Exponential and Logarithmic Functions
4.1 Exponential Functions
4.2 The Natural Exponential Function
4.3 Logarithmic Functions
4.4 Laws of Logarithms
4.5 Exponential and Logarithmic Equations
4.6 Modeling with Exponential and Logarithmic Functions

CHAPTER 5 – Systems of Equations and Inequalities
5.1 Systems of Linear Equations in Two Variables
5.2 Systems of Linear Equations in Several Variables
5.3 Partial Fractions
5.4 Systems of Nonlinear Equations
5.5 Systems of Inequalities

CHAPTER 6 – Matrices and Determinants
6.1 Matrices and Systems of Linear Equations
6.2 The Algebra of Matrices
6.3 Inverses of Matrices and Matrix Equations
6.4 Determinants and Cramer’s Rule

CHAPTER 7 – Conic Sections
7.1 Parabolas
7.2 Ellipses
7.3 Hyperbolas
7.4 Shifted Conics

CHAPTER 8 – Sequences and Series
8.1 Sequences and Summation Notation
8.2 Arithmetic Sequences
8.3 Geometric Sequences
8.4 Mathematics of Finance
8.5 Mathematical Induction
8.6 The Binomial Theorem

CHAPTER 9 – Probability and Statistics
9.1 Counting
9.2 Probability
9.3 Binomial Probability
9.4 Expected Value

Table of Contents Source
James Stewart, Lothar Redlin, and Saleem Watson, College Algebra, 6th Edition, Brooks/Cole, Cengage Learning, 2013.

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