The table of contents below shows the review topics (bulleted text) that are integrated into the MyLab™ Math course. The Integrated Review includes worksheets, videos, and other materials designed to help students master these important topics.
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:
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
