Jeff Lewis
Mathematics Department
Johnson County Community College
OCB 307    
913.469.8500 x 4594 (phone)
913.469.2537 (fax)
jlewis@jccc.edu <== (best method)

Picture of Lewis at age 4.
This is the before math ...
 

 

Current students should use ANGEL e-mail

Office Hours
 
MW
8:15 - 9:00pm in OCB 306
  W 5:15 - 6:00pm in OCB 306
  TR 7:15 - 8:00pm in OCB 306
  or by appointment

Virtual Hours by appointment.

Link to ANGEL
 

 Spring 2012


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Math 171
College Algebra Homepage
Course ID:  johnsoncol
 
(Spring 2012)
 

 


College Algebra, 2nd Edition



 

COLLEGE ALGEBRA, 2nd edition
Paul Sisson, Louisiana State University at Shreveport
ISBN: 1-932628-29-0
Bundled with Hawkes Learning Systems:
COLLEGE ALGEBRA  
CD software
ISBN: 0-918091-59-4
  Hawkes Learning Systems
 
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Summary

College Algebra, written in a relaxed and conversational style, addresses the need for a complete and mathematically sound presentation of algebra at the college level. It is appropriate for a core curriculum college algebra course, and also contains all the material necessary to prepare students for more advanced classes such as calculus and statistics. Many examples drawn from a variety of fields are featured, and each chapter begins with an overview placing the mathematical concepts that follow in their cultural and historical context. Throughout the text, commonly made errors are clearly identified. The first two chapters provide a quick but thorough review of algebra fundamentals, including a self-contained presentation of complex numbers. This is followed by the extension of algebra to the Cartesian plane; an especially thorough exposition of relations and functions; a detailed study of polynomial, rational, logarithmic, and exponential functions; conic sections and their applications; systems of equations and inequalities; and an introduction to sequences, series, combinatorics, and probability.

 
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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
1.4 Properties of Radicals
1.5 Polynomials and Factoring
1.6 The Complex Number System

Chapter 2: Equations and Inequalities of One Variable

2.1a Linear Equations in One Variable
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: Polynomial Functions (excluding complex numbers)
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)

 

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Return to Lewis' Homepage 

     
Picture of Lewis now.
 

Jeff Lewis, Box 29
 Mathematics Department
Johnson County Community College
12345 College Blvd.
Overland Park, Kansas 66210
913.469.8500x4594

Link to send e-mail to Jeff Lewis
 
... and this is
the aftermath!