John Squires and Karen Wyrick have used their successes in the classroom and the lab to design the MyMathLab for Introductory Algebra eCourse. This new MyMathLab eCourse offers students a guided learning path through content that has been organized into smaller, more manageable portions. This course structure includes pre-made tutorials and assessments for every topic in the course, giving instructors an eCourse that can be easily set up and customized for a variety of learning environments.
Mini-Mod 1 Real Numbers and Variables
Topic 1.1 Introduction to Real Numbers
Topic 1.2 Graphing Real Numbers Using a Number Line
Topic 1.3 Translating Phrases into Algebraic Inequalities
Topic 1.4 Finding the Absolute Value of a Real Number
Mini-Mod 2 Adding and Subtracting with Real Numbers
Topic 2.1 Adding Real Numbers with the Same Sign
Topic 2.2 Adding Real Numbers with Different Signs
Topic 2.3 Finding the Opposite of a Real Number
Topic 2.4 Subtracting Real Numbers
Topic 2.5 Addition Properties of Real Numbers
Mini-Mod 3 Multiplying and Dividing with Real Numbers
Topic 3.1 Multiplying Real Numbers
Topic 3.2 Finding the Reciprocal of a Real Number
Topic 3.3 Dividing Real Numbers
Topic 3.4 Exponents and the Order of Operations
Topic 3.5 The Distributive Property
Topic 3.6 Multiplication Properties of Real Numbers
Mini-Mod 4 Variables and Expressions
Topic 4.1 Introduction to Expressions
Topic 4.2 Evaluating Algebraic Expressions
Topic 4.3 Simplifying Expressions
Topic 4.4 Simplifying Expressions with Parentheses
Topic 4.5 Translating Words into Symbols
Mini-Mod 5 Introduction to Solving Linear Equations
Topic 5.1 Translating Words into Equations
Topic 5.2 Linear Equations and Solutions
Topic 5.3 Using the Addition Property of Equality
Topic 5.4 Using the Multiplication Property of Equality
Topic 5.5 Using the Addition and Multiplication Properties Together
Mini-Mod 6 Solving More Linear Equations and Inequalities
Topic 6.1 Solving Equations with Variables on Both Sides
Topic 6.2 Solving Equations with Parentheses
Topic 6.3 Solving Equations with Fractions
Topic 6.4 Solving a Variety of Equations
Topic 6.5 Solving Equations and Formulas for a Variable
Topic 6.6 Solving and Graphing Inequalities
Mini-Mod 7 Introduction to Graphing Linear Equations
Topic 7.1 The Rectangular Coordinate System
Topic 7.2 Graphing Linear Equations by Plotting Points
Topic 7.3 Graphing Linear Equations Using Intercepts
Topic 7.4 Graphing Linear Equations of the Form x = a, y = b, and y = mx
Mini-Mod 8 Slope and the Equation of a Line
Topic 8.1 The Slope of a Line
Topic 8.2 Slope-Intercept Form
Topic 8.3 Graphing Lines Using the Slope and y-Intercept
Topic 8.4 Writing Equations of Lines Using a Point and Slope
Topic 8.5 Writing Equations of Lines Using Two Points
Mini-Mod 9 Introduction to Functions
Topic 9.1 Relations and Functions
Topic 9.2 The Vertical Line Test
Topic 9.3 Function Notation
Topic 9.4 Evaluating Functions
Topic 9.5 Piecewise Functions
Mini-Mod 10 Solving Systems of Linear Equations
Topic 10.1 Introduction to Systems of Linear Equations
Topic 10.2 Solving by the Graphing Method
Topic 10.3 Solving by the Substitution Method
Topic 10.4 Solving by the Elimination Method
Topic 10.5 Applications of Systems of Linear Equations
Mini-Mod 11 Introduction to Polynomials and Exponent Rules
Topic 11.1 Introduction to Polynomials
Topic 11.2 Addition of Polynomials
Topic 11.3 Subtraction of Polynomials
Topic 11.4 Product Rule for Exponents
Topic 11.5 Power Rule for Exponents
Mini-Mod 12 Multiplying Polynomials
Topic 12.1 Multiplying by a Monomial
Topic 12.2 Multiplying Binomials
Topic 12.3 Multiplying Polynomials
Topic 12.4 Multiplying the Sum and Difference of Two Terms
Topic 12.5 Squaring Binomials
Mini-Mod 13 Dividing Polynomials and More Exponent Rules
Topic 13.1 The Quotient Rule
Topic 13.2 Integer Exponents
Topic 13.3 Scientific Notation
Topic 13.4 Dividing a Polynomial by a Monomial
Topic 13.5 Dividing a Polynomial by a Binomial
Mini-Mod 14 Factoring Polynomials
Topic 14.1 Greatest Common Factor
Topic 14.2 Factoring by Grouping
Topic 14.3 Factoring Trinomials of the Form x 2 + bx + c
Topic 14.4 Factoring Trinomials of the Form ax 2 + bx + c
Topic 14.5 More Factoring of Trinomials
Mini-Mod 15 More Factoring and Quadratic Equations
Topic 15.1 Special Cases of Factoring
Topic 15.2 Factoring Polynomials
Topic 15.3 Solving Quadratic Equations by Factoring
Topic 15.4 Applications
Mini-Mod 16 Introduction to Rational Expressions
Topic 16.1 Undefined Rational Expressions
Topic 16.2 Simplifying Rational Expressions
Topic 16.3 Multiplying Rational Expressions
Topic 16.4 Dividing Rational Expressions
Mini-Mod 17 Adding and Subtracting Rational Expressions
Topic 17.1 Adding Like Rational Expressions
Topic 17.2 Subtracting Like Rational Expressions
Topic 17.3 Finding the Least Common Denominator for Rational Expressions
Topic 17.4 Adding and Subtracting Rational Expressions
Mini-Mod 18 Complex Rational Expressions and Rational Equations
Topic 18.1 Simplifying Complex Rational Expressions by Adding and Subtracting
Topic 18.2 Simplifying Complex Rational Expressions by Multiplying by the LCD
Topic 18.3 Solving Rational Equations
Topic 18.4 Direct Variation
Topic 18.5 Inverse Variation
Topic 18.6 Applications
Mini-Mod 19 Roots and Radicals
Topic 19.1 Introduction to Roots and Radicals
Topic 19.2 Higher-Order Roots
Topic 19.3 Simplifying Radical Expressions
Topic 19.4 Rational Exponents
Topic 19.5 The Pythagorean Theorem
Topic 19.6 The Distance Formula
Mini-Mod 20 Operations of Radical Expressions
Topic 20.1 Adding and Subtracting Radical Expressions
Topic 20.2 Multiplying Radical Expressions
Topic 20.3 Dividing Radical Expressions
Topic 20.4 Rationalizing the Denominator
Topic 20.5 Solving Radical Equations
Mini-Mod 21 Solving Quadratic Equations
Topic 21.1 Introduction to Solving Quadratic Equations
Topic 21.2 Solving Quadratic Equations using the Square Root Property
Topic 21.3 Solving Quadratic Equations by Completing the Square
Topic 21.4 Solving Quadratic Equations by Factoring
Topic 21.5 Solving Quadratic Equations using the Quadratic Formula
Mini-Mod 22 Quadratic Functions
Topic 22.1 Introduction to Quadratic Functions
Topic 22.2 Finding the Vertex of a Quadratic Function
Topic 22.3 Finding the Intercepts of a Quadratic Function
Topic 22.4 Graphing Quadratic Functions
Appendix A Additional Topics
Topic A.1 The Midpoint Formula
Topic A.2 Writing Equations of Parallel and Perpendicular Lines
Topic A.3 Graphing Linear Inequalities in Two Variables
Topic A.4 Systems of Linear Inequalities
Topic A.5 Synthetic Division
Topic A.6 Complex Numbers
Topic A.7 Matrices and Determinants
Topic A.8 Cramer’s Rule
Topic A.9 Solving Systems of Linear Equations Using Matrices
Topic A.10 Basic Statistics and Probability
Appendix B Arithmetic Review
Topic B.1 Whole Numbers
Topic B.2 Fractions
Topic B.3 Decimals
Topic B.4 Percents
Topic B.5 Rounding and Estimating
Topic B.6 Order of Operations and Exponents