Judy Penna received her undergraduate degree in mathematics from Kansas State University and her graduate degree in mathematics from the University of Illinois. Since then, she has taught at Indiana University–Purdue University Indianapolis (IUPUI) and at Butler University, and continues to focus on writing quality textbooks for undergraduate mathematics students. In her free time she likes to travel, read, knit and spend time with her children.

Marvin Bittinger has been teaching math at the university level for more than thirty-eight years. Since 1968, he has been employed at Indiana University–Purdue University Indianapolis (IUPUI), and is now professor emeritus of mathematics education. Professor Bittinger has authored over 190 publications on topics ranging from basic mathematics to algebra and trigonometry to applied calculus. He received his BA in mathematics from Manchester College and his PhD in mathematics education from Purdue University. Special honors include Distinguished Visiting Professor at the United States Air Force Academy and his election to the Manchester College Board of Trustees from 1992 to 1999. His hobbies include hiking in Utah, baseball, golf, and bowling. Professor Bittinger has also had the privilege of speaking at many mathematics conventions, most recently giving a lecture entitled "Baseball and Mathematics." In addition, he also has an interest in philosophy and theology, in particular, apologetics. Professor Bittinger currently lives in Carmel, Indiana with his wife Elaine. He has two grown and married sons, Lowell and Chris, and four granddaughters.

Just-In-Time Review

1. Graphs, Functions, and Models

1.1 Introduction to Graphing

1.2 Functions and Graphs

1.3 Linear Functions, Slope, and Applications

1.4 Equations of Lines and Modeling

1.5 Linear Equations, Functions, Zeros, and Applications

1.6 Solving Linear Inequalities

Integrated Review Topics:

• Graphing Linear Functions
• Operations on the Real Numbers
• Order of operations
• Factoring trinomials: ax² + bx + c
• Factoring trinomial squares and differences of squares
• The principle of zero products
• Interval notation
• Solving linear equations
• Solving linear inequalities
  

2. More on Functions

2.1 Increasing, Decreasing, and Piecewise Functions; Applications

2.2 The Algebra of Functions

2.3 The Composition of Functions

2.4 Symmetry

2.5 Transformations

2.6 Variation and Applications

Integrated Review Topics:

• Interval Notation
• The Pythagorean Theorem
• Simplifying Rational expressions
• Addition and subtraction of polynomials
• Simplifying complex rational expressions
  

3. Quadratic Functions and Equations; Inequalities

3.1 The Complex Numbers

3.2 Quadratic Equations, Functions, Zeros, and Models

3.3 Analyzing Graphs of Quadratic Functions

3.4 Solving Rational Equations and Radical Equations

3.5 Solving Equations and Inequalities with Absolute Value

Integrated Review Topics:

• Multiplying radical expressions
• Multiplying binomials
• Simplifying radical expressions
• Completing the square
• Factoring trinomials: ax² + bx + c
• Factoring trinomial squares and differences of squares
• The principle of zero products
• Finding the LCM of algebraic expressions
• The principle of powers
  

4. Polynomial Functions and Rational Functions

4.1 Polynomial Functions and Models

4.2 Graphing Polynomial Functions

4.3 Polynomial Division; The Remainder Theorem and the Factor Theorem

4.4 Theorems about Zeros of Polynomial Functions

4.5 Rational Functions

4.6 Polynomial Inequalities and Rational Inequalities

Integrated Review Topics:

• Introduction to polynomials
• Factoring by grouping
• Operations on the Real Numbers
• Interval Notation

5. Exponential Functions and Logarithmic Functions

5.1 Inverse Functions

5.2 Exponential Functions and Graphs

5.3 Logarithmic Functions and Graphs

5.4 Properties of Logarithmic Functions

5.5 Solving Exponential Equations and Logarithmic Equations

5.6 Applications and Models: Growth and Decay; Compound Interest

Integrated Review Topics:

• Integers as exponents
• Finding logarithms without a calculator
  

6. Systems of Equations and Matrices

6.1 Systems of Equations in Two Variables

6.2 Systems of Equations in Three Variables

6.3 Matrices and Systems of Equations

6.4 Matrix Operations

6.5 Inverses of Matrices

6.6 Determinants and Cramer’s Rule

6.7 Systems of Inequalities and Linear Programming

6.8 Partial Fractions

Integrated Review Topics:

• Graphing Linear Functions
• Operations on the Real Numbers
  

7. Conic Sections

7.1 The Parabola

7.2 The Circle and the Ellipse

7.3 The Hyperbola

7.4 Nonlinear Systems of Equations and Inequalities

Integrated Review Topic:

• Completing the square

8. Sequences, Series, and Combinatorics

8.1 Sequences and Series

8.2 Arithmetic Sequences and Series

8.3 Geometric Sequences and Series

8.4 Mathematical Induction

8.5 Combinatorics: Permutations

8.6 Combinatorics: Combinations

8.7 The Binomial Theorem

8.8 Probability

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