Paperback, McGraw
College Algebra with Corequisite Support, by Julie Millerand Donna Gerken, is designed specifically for corequisitestudents. Based on feedback from instructors, it integratessupport-level and college algebra concepts with options forcomprehensive or just-in-time review. Features includeexpanded examples with detailed steps, increased examplecounts, and “For Review” boxes for prerequisite concepts.Accompanied by videos, online homework, lecture notes,and a corequisite skills workbook, it offers a flexible,seamless learning experience tailored to diverse teachingand learning styles.
R: Review of Prerequisites
R.1 Operations on Fractions
R.2 The Set of Real Numbers
R.3 Simplifying Numerical Expressions
1: Linear Equations and Inequalities
1.1 Algebraic Expressions and Models
1.2 Linear Equations in One Variable
1.3 Applications of Linear Equations in One Variable
1.4 Union and Intersections of Sets
1.5 Linear and Compound Inequalities
1.6 Absolute Value Equations
1.7 Absolute Value Inequalities
2: Polynomials
2.1 Integer Exponents and Scientific NotationÂ
2.2 Operations on Polynomials
2.3 Greatest Common Factor and Factoring by Grouping
2.4 Factoring TrinomialsÂ
2.5 Factoring PolynomialsÂ
3: Quadratic EquationsÂ
3.1 Introduction to Radicals and Their Simplification
3.2 Multiplying Radicals and Rationalizing the Denominator
3.3 Complex NumbersÂ
3.4 Solving Quadratic Equations by FactoringÂ
3.5 Solving Quadratic Equations by Using the Square Root Property
3.6 Solving Quadratic Equations by Using the Quadratic Formula
4: More Expressions and Equations
4.1 Multiplication and Division of Rational Expressions
4.2 Addition and Subtraction of Rational Expressions
4.3 Rational EquationsÂ
4.4 Applications of Rational Equations
4.5 Rational ExponentsÂ
4.6 Radical Equations and Equations with Rational Exponents
4.7 Equations in Quadratic Form
5: Functions and Relations
5.1 The Rectangular Coordinate System and Graphing Utilities
5.2 Circles
5.3 Functions and Relations
5.4 Linear Equations in Two Variables and Linear Functions
5.5 Applications of Linear Equations and ModelingÂ
6: Transformations and Analysis of Functions
6.1 Transformations of Graphs
6.2 Symmetry and Piecewise-Defined Functions
6.3 Average Rate of Change, Difference Quotient, and Function Behavior
6.4 Algebra of Functions and Function Composition
7: Polynomial FunctionsÂ
7.1 Quadratic Functions and Applications
7.2 Introduction to Polynomial Functions
7.3 Division of Polynomials and the Remainder and Factor Theorems
7.4 Zeros of PolynomialsÂ
7.5 Polynomial Inequalities and Applications
8: Rational Functions
8.1 Introduction to Rational Functions
8.2 Graphs of Rational Functions
8.3 Rational InequalitiesÂ
8.4 Variation
9: Exponential and Logarithmic Functions
9.1 Inverse Functions
9.2 Exponential Functions 9.3 Logarithmic Functions 9.4 Properties of Logarithms
9.5 Exponential Equations and Applications
9.6 Logarithmic Equations and Applications
9.7 Modeling with Exponential and Logarithmic Functions
10: Systems of Equations and Inequalities
10.1 Graphs of Systems of Linear Equations in Two Variables
10.2 Systems of Linear Equations in Two Variables and Applications
10.3 Systems of Linear Equations in Three Variables and Applications
10.4 Partial Fraction Decomposition
10.5 Systems of Nonlinear Equations in Two Variables
10.6 Inequalities and Systems of Inequalities in Two Variables
10.7 Linear Programming 11: Matrices and Determinants and Applications
11.1 Solving Systems of Linear Equations Using Matrices
11.2 Inconsistent Systems and Dependent Equations
11.3 Operations on Matrices
11.4 Inverse Matrices and Matrix Equations
11.5 Determinants and Cramer's Rule
12 (Online): Analytic Geometry
13 (Online): Sequences, Series, Induction, and Probability