Guided Lecture Notes for College Algebra

by Sullivan, Michael

• ISBN13: 9780135163184
• ISBN10: 0135163188
• Additional ISBN(s): 9780133982466
• Edition: 11th
• Format: Loose-leaf
• Copyright: 2019-02-18
• Publisher: Pearson
• More Book Details

Summary

Guided Lecture Notes help students take thorough, organized, and understandable notes as they watch the Author in Action videos. They ask students to complete definitions, procedures, and examples based on the content of the videos and text. Editable Word files in MyLab Math allow instructors to customize this resource for their courses.

0135163188 / 9780135163184  GUIDED LECTURE NOTES FOR COLLEGE ALGEBRA, 11/e 

Author Biography

Mike Sullivan recently retired as Professor of Mathematics at Chicago State University, having taught there for more than 30 years. He received his PhD in mathematics from Illinois Institute of Technology. He is a native of Chicago’s South Side and currently resides in Oak Lawn, Illinois. Mike has four children; the two oldest have degrees in mathematics and assisted in proofing, checking examples and exercises, and writing solutions manuals for this project. His son, Mike Sullivan, III, co-authored the Sullivan Graphing with Data Analysis series as well as this series. Mike has authored or co-authored more than ten books. He owns a travel agency, and splits his time between a condo in Naples, Florida and a home in Oak Lawn, where Mike enjoys gardening.

 

Mike Sullivan, III is a professor of mathematics at Joliet Junior College. He holds graduate degrees from DePaul University in both mathematics and economics. Mike is an author or co-author on more than 20 books, including a statistics book and a developmental mathematics series. Mike is the father of three children and an avid golfer who tries to spend as much of his limited free time as possible on the golf course.

Table of Contents

R. Review

R.1 Real Numbers
R.2 Algebra Essentials
R.3 Geometry Essentials
R.4 Polynomials
R.5 Factoring Polynomials
R.6 Synthetic Division
R.7 Rational Expressions
R.8 nth Roots; Rational Exponents

1. Equations and Inequalities

1.1 Linear Equations
1.2 Quadratic Equations
1.3 Complex Numbers; Quadratic Equations in the Complex Number System
1.4 Radical Equations; Equations Quadratic in Form; Factorable Equations
1.5 Solving Inequalities
1.6 Equations and Inequalities Involving Absolute Value
1.7 Problem Solving: Interest, Mixture, Uniform Motion, Constant Rate Job Applications

Chapter 1 Review, Test, and Projects

2. Graphs

2.1 The Distance and Midpoint Formulas
2.2 Graphs of Equations in Two Variables; Intercepts; Symmetry
2.3 Lines
2.4 Circles
2.5 Variation

Chapter 2 Review, Test, and Projects

3. Functions and Their Graphs

3.1 Functions
3.2 The Graph of a Function
3.3 Properties of Functions
3.4 Library of Functions; Piecewise-defined Functions
3.5 Graphing Techniques: Transformations
3.6 Mathematical Models: Building Functions

Chapter 3 Review, Test, and Projects

4. Linear and Quadratic Functions

4.1 Properties of Linear Functions and Linear Models
4.2 Building Linear Models from Data
4.3 Quadratic Functions and Their Properties
4.4 Build Quadratic Models from Verbal Descriptions and from Data
4.5 Inequalities Involving Quadratic Functions

Chapter 4 Review, Test, and Projects

5. Polynomial and Rational Functions

5.1 Polynomial Functions
5.2 Graphing Polynomials Functions; Models
5.3 Properties of Rational Functions
5.4 The Graph of a Rational Function
5.5 Polynomial and Rational Inequalities
5.6 The Real Zeros of a Polynomial Function

Chapter 5 Review, Test, and Projects

6. Exponential and Logarithmic Functions

6.1 Composite Functions
6.2 One-to-One Functions; Inverse Functions
6.3 Exponential Functions
6.4 Logarithmic Functions
6.5 Properties of Logarithms
6.6 Logarithmic and Exponential Equations
6.7 Financial Models
6.8 Exponential Growth and Decay Models; Newton’s Law; Logistic Growth and Decay Models
6.9 Building Exponential, Logarithmic, and Logistic Models from Data

Chapter 6 Review, Test, and Projects

7. Analytic Geometry

7.1 Conics
7.2 The Parabola
7.3 The Ellipse
7.4 The Hyperbola

Chapter 7 Review, Test, and Projects

8. Systems of Equations and Inequalities

8.1 Systems of Linear Equations: Substitution and Elimination
8.2 Systems of Linear Equations: Matrices
8.3 Systems of Linear Equations: Determinants
8.4 Matrix Algebra
8.5 Partial Fraction Decomposition
8.6 Systems of Nonlinear Equations
8.7 Systems of Inequalities
8.8 Linear Programming

Chapter 8 Review, Test, and Projects

9. Sequences; Induction; the Binomial Theorem

9.1 Sequences
9.2 Arithmetic Sequences
9.3 Geometric Sequences; Geometric Series
9.4 Mathematical Induction
9.5 The Binomial Theorem

Chapter 9 Review, Test, and Projects

10. Counting and Probability

10.1 Counting
10.2 Permutations and Combinations
10.3 Probability

Chapter 10 Review, Test, and Projects

Appendix: Graphing Utilities
A.1 The Viewing Rectangle
A.2 Using a Graphing Utility to Graph Equations
A.3 Using a Graphing Utility to Locate Intercepts and Check for Symmetry
A.4 Using a Graphing Utility to Solve Equations
A.5 Square Screens
A.6 Using a Graphing Utility to Graph Inequalities
A.7 Using a Graphing Utility to Solve Systems of Linear Equations

Answers
Credits
Index