Week 1

• 1.1.1 The Top Ten List of Mistakes
• 1.2.1 Concepts of Inequality
• 1.2.2 Inequalities and Interval Notation
• 1.3.1 Properties of Absolute Value
• 1.3.2 Evaluating Absolute Value Expressions
• 1.4.1 An Introduction to Exponents
• 1.4.2 Evaluating Exponential Expressions
• 1.4.3 Applying the Rules of Exponents
• 1.4.4 Evaluating Expressions with Negative Exponents
• 1.5.1 Converting between Decimal and Scientific Notation
• 1.5.2 Converting Rational Exponents and Radicals
• 1.6.1 Simplifying Radical Expressions
• 1.6.2 Simplifying Radical Expressions with Variables
• 1.6.3 Rationalizing Denominators
• 1.7.1 Determining Components and Degree
• 1.7.2 Adding, Subtracting, and Multiplying Polynomials
• 1.7.3 Multiplying Big Products
• 1.7.4 Using Special Products
• 1.8.1 Factoring Using the Greatest Common Factor
• 1.8.2 Factoring by Grouping
• 1.8.3 Factoring Trinomials
• 1.9.1 Factoring Perfect Square Trinomials
• 1.9.2 Factoring the Difference of Two Squares
• 1.9.3 Factoring Sums and Differences of Cubes
• 1.9.4 Factoring by Any Method
• 1.10.1 Rational Expressions and Domain
• 1.10.2 Working with Fractions
• 1.10.3 Writing Rational Expressions in Lowest Terms
• 1.11.1 Multiplying and Dividing Rational Expressions
• 1.11.2 Adding and Subtracting Rational Expressions
• 1.11.3 Rewriting Complex Fractions
• 1.12.1 Introducing and Writing Complex Numbers
• 1.12.2 Rewriting powers of i
• 1.12.3 Adding and Subtracting Complex Numbers
• 1.12.4 Multiplying Complex Numbers
• 1.12.5 Dividing Complex Numbers
• Chapter 1 Test

Week 2

• 2.1.1 An Introduction to Solving Equations
• 2.1.2 Solving a Linear Equation
• 2.1.3 Solving a Linear Equation with Rationals
• 2.1.4 Solving a Linear Equation That Has Restrictions
• 2.2.1 An Introduction to Solving Word Problems
• 2.2.2 Solving for Perimeter
• 2.2.3 Solving a Linear Geometry Problem
• 2.2.4 Solving for Consecutive Numbers
• 2.2.5 Solving to Find the Average
• 2.3.1 Solving for Constant Velocity
• 2.3.2 Solving a Problem about Work
• 2.3.3 Solving a Mixture Problem
• 2.3.4 Solving an Investment Problem
• 2.3.5 Solving Business Problems
• 2.4.1 Solving Quadratics by Factoring
• 2.4.2 Solving Quadratics by Completing the Square
• 2.4.3 Completing the Square: Another Example
• 2.5.1 Proving the Quadratic Formula
• 2.5.2 Using the Quadratic Formula
• 2.5.3 Predicting the Type of Solutions Using the Discriminant
• 2.6.1 Solving for a Squared Variable
• 2.6.2 Finding Real Number Restrictions
• 2.6.3 Solving Fancy Quadratics
• 2.7.1 An Introduction to Word Problems with Quadratics
• 2.7.2 Solving a Quadratic Geometry Problem
• 2.7.3 Solving with the Pythagorean Theorem
• 2.8.1 Solving a Motion Problem
• 2.8.2 Solving a Projectile Problem
• 2.8.3 Solving Other Problems
• 2.9.1 Determining Extraneous Roots
• 2.9.2 Solving an Equation Containing a Radical
• 2.9.3 Solving an Equation with Two Radicals
• 2.9.4 Solving an Equation with Rational Exponents
• 2.10.1 An Introduction to Variation
• 2.10.2 Direct Proportion
• 2.10.3 Inverse Proportion
• 2.11.1 An Introduction to Solving Inequalities
• 2.11.2 Solving Compound Inequalities
• 2.11.3 More on Compound Inequalities
• 2.11.4 Solving Word Problems Involving Inequalities
• 2.12.1 Solving Quadratic Inequalities
• 2.12.2 Solving Quadratic Inequalities: Another Example
• 2.13.1 Solving Rational Inequalities
• 2.13.2 Solving Rational Inequalities: Another Example
• 2.13.3 Determining the Domains of Expressions with Radicals
• 2.14.1 Matching Number Lines with Absolute Values
• 2.14.2 Solving Absolute Value Equations
• 2.14.3 Solving Equations with Two Absolute Value Expressions
• 2.14.4 Solving Absolute Value Inequalities
• 2.14.5 Solving Absolute Value Inequalities: More Examples
• Chapter 2 Test

Week 3

• 3.1.1 Functions and the Vertical Line Test
• 3.1.2 Identifying Functions
• 3.1.3 Function Notation and Finding Function Values
• 3.2.1 Determining Intervals Over Which a Function Is Increasing
• 3.2.2 Evaluating Piecewise-Defined Functions for Given Values
• 3.2.3 Solving Word Problems Involving Functions
• 3.3.1 Finding the Domain and Range of a Function
• 3.3.2 Domain and Range: One Explicit Example
• 3.3.3 Satisfying the Domain of a Function
• 3.4.1 An Introduction to Slope
• 3.4.2 Finding the Slope of a Line Given Two Points
• 3.4.3 Interpreting Slope from a Graph
• 3.4.4 Graphing a Line Using Point and Slope
• 3.5.1 Finding the Distance between Two Points
• 3.5.2 Finding the Second Endpoint of a Segment
• 3.6.1 Collinearity and Distance
• 3.6.2 Triangles
• 3.7.1 Finding the Center-Radius Form of the Equation of a Circle
• 3.7.2 Finding the Center and Radius of a Circle
• 3.7.3 Decoding the Circle Formula
• 3.7.4 Solving Word Problems Involving Circles
• 3.8.1 Graphing Equations by Locating Points
• 3.8.2 Finding the x- and y-Intercepts of an Equation
• 3.9.1 Writing an Equation in Slope-Intercept Form
• 3.9.2 Writing an Equation Given Two Points
• 3.9.3 Writing an Equation in Point-Slope Form
• 3.9.4 Matching a Slope-Intercept Equation with Its Graph
• 3.9.5 Slope with Parallel and Perpendicular Lines
• 3.10.1 Constructing Linear Function Models of a Set of Data
• 3.10.2 Linear Cost and Revenue Functions
• 3.11.1 Graphing Some Important Functions
• 3.11.2 Graphing Piecewise-Defined Functions
• 3.11.3 Matching Equations with Their Graphs

Week 4

• 3.12.1 The Greatest Integer Function
• 3.12.2 Graphing the Greatest Integer Function
• 3.13.1 Using Operations on Functions
• 3.13.2 Composite Functions
• 3.13.3 Components of Composite Functions
• 3.13.4 Finding Functions That Form a Given Composite
• 3.13.5 Finding the Difference Quotient of a Function
• 3.14.1 Deconstructing the Graph of a Quadratic Function
• 3.14.2 Nice-Looking Parabolas
• 3.14.3 Using Discriminants to Graph Parabolas
• 3.14.4 Maximum Height in the Real World
• 3.15.1 Finding the Vertex by Completing the Square
• 3.15.2 Using the Vertex to Write the Quadratic Equation
• 3.15.3 Finding the Maximum or Minimum of a Quadratic
• 3.15.4 Graphing Parabolas
• 3.16.1 Shifting Curves along Axes
• 3.16.2 Shifting or Translating Curves along Axes
• 3.16.3 Stretching a Graph
• 3.16.4 Graphing Quadratics Using Patterns
• 3.17.1 Determining Symmetry
• 3.17.2 Reflections
• 3.17.3 Reflecting Specific Functions
• Chapter 3 Test
• 4.1.1 Using Long Division with Polynomials
• 4.1.2 Long Division: Another Example
• 4.2.1 Using Synthetic Division with Polynomials
• 4.2.2 More Synthetic Division
• 4.3.1 The Remainder Theorem
• 4.3.2 More on the Remainder Theorem

Week 5

• 4.4.1 The Factor Theorem and Its Uses
• 4.4.2 Factoring a Polynomial Given a Zero
• 4.5.1 Presenting the Rational Zero Theorem
• 4.5.2 Considering Possible Solutions
• 4.6.1 Finding Polynomials Given Zeros, Degree, and One Point
• 4.6.2 Finding all Zeros and Multiplicities of a Polynomial
• 4.6.3 Finding the Real Zeros for a Polynomial
• 4.6.4 Using Descartes' Rule of Signs
• 4.6.5 Finding the Zeros of a Polynomial from Start to Finish
• 4.7.1 Matching Graphs to Polynomial Functions
• 4.7.2 Sketching the Graphs of Basic Polynomial Functions
• 4.8.1 Understanding Rational Functions
• 4.8.2 Basic Rational Functions
• 4.9.1 Vertical Asymptotes
• 4.9.2 Horizontal Asymptotes
• 4.9.3 Graphing Rational Functions
• 4.9.4 Graphing Rational Functions: More Examples
• Chapter 4 Test
• 5.1.1 Understanding Inverse Functions
• 5.1.2 The Horizontal Line Test
• 5.1.3 Are Two Functions Inverses of Each Other?
• 5.1.4 Graphing the Inverse

Week 6

• 5.2.1 Finding the Inverse of a Function
• 5.2.2 Finding the Inverse of a Function with Higher Powers
• 5.3.1 An Introduction to Exponential Functions
• 5.3.2 Graphing Exponential Functions: Useful Patterns
• 5.3.3 Graphing Exponential Functions: More Examples
• 5.4.1 Using Properties of Exponents to Solve Exponential Equations
• 5.4.2 Finding Present Value and Future Value
• 5.4.3 Finding an Interest Rate to Match Given Goals
• 5.5.1 e
• 5.5.2 Applying Exponential Functions
• 5.6.1 An Introduction to Logarithmic Functions
• 5.6.2 Converting between Exponential and Logarithmic Functions
• 5.7.1 Finding the Value of a Logarithmic Function
• 5.7.2 Solving for x in Logarithmic Equations
• 5.7.3 Graphing Logarithmic Functions
• 5.7.4 Matching Logarithmic Functions with Their Graphs
• 5.8.1 Properties of Logarithms
• 5.8.2 Expanding a Logarithmic Expression Using Properties
• 5.8.3 Combining Logarithmic Expressions

Week 7

• 5.9.1 Evaluating Logarithmic Functions Using a Calculator
• 5.9.2 Using the Change of Base Formula
• 5.10.1 The Richter Scale
• 5.10.2 The Distance Modulus Formula
• 5.11.1 Solving Exponential Equations
• 5.11.2 Solving Logarithmic Equations
• 5.11.3 Solving Equations with Logarithmic Exponents
• 5.12.1 Compound Interest
• 5.12.2 Predicting Change
• 5.13.1 An Introduction to Exponential Growth and Decay
• 5.13.2 Half-Life
• 5.13.3 Newton's Law of Cooling
• 5.13.4 Continuously Compounded Interest
• Chapter 5 Test
• 6.1.1 An Introduction to Linear Systems
• 6.1.2 Solving Systems with Substitution
• 6.1.3 Solving Systems by Elimination
• 6.2.1 An Introduction to Linear Systems in Three Variables
• 6.2.2 Solving Linear Systems in Three Variables
• 6.2.3 Solving Inconsistent Systems
• 6.2.4 Solving Dependent Systems
• 6.2.5 Solving Systems with Two Equations

Week 8

• 6.3.1 Investments
• 6.3.2 Solving with Partial Fractions
• 6.4.1 Solving Nonlinear Systems Using Elimination
• 6.4.2 Solving Nonlinear Systems with Substitution
• 6.5.1 An Introduction to Systems of Inequalities
• 6.5.2 Graphing Systems of Inequalities
• 6.5.3 Graphing the Solution Set of a System of Inequalities
• 6.6.1 Solving for Maxima-Minima
• 6.6.2 Applying Linear Programming
• Chapter 6 Test
• Review
• Midterm Exam
• 7.1.1 An Introduction to Matrices
• 7.1.2 The Arithmetic of Matrices

Week 9

• 7.1.3 Multiplying Matrices by a Scalar
• 7.1.4 Multiplying Matrices
• 7.1.5 Multiplying Matrices: Can They Multiply?
• 7.2.1 Using the Gauss-Jordan Method
• 7.2.2 Using Gauss-Jordan: Another Example
• 7.3.1 Evaluating 2x2 Determinants
• 7.3.2 Evaluating 3x3 Determinants
• 7.3.3 Applying Determinants
• 7.4.1 Using Cramer's Rule
• 7.4.2 Using Cramer's Rule in a 3x3 Matrix

Week 10

• 7.5.1 An Introduction to Inverses
• 7.5.2 Inverses: 2x2 Matrices
• 7.5.3 Another Look at 2x2 Inverses
• 7.5.4 Inverses: 3x3 Matrices
• 7.5.5 Solving a System of Equations with Inverses
• Chapter 7 Test
• 8.1.1 An Introduction to Conic Sections
• 8.1.2 An Introduction to Parabolas
• 8.1.3 Determining Information about a Parabola from Its Equation
• 8.1.4 Writing an Equation for a Parabola

Week 11

• 8.2.1 An Introduction to Ellipses
• 8.2.2 Finding the Equation for an Ellipse
• 8.2.3 Applying Ellipses: Satellites
• 8.3.1 An Introduction to Hyperbolas
• 8.3.2 Finding the Equation for a Hyperbola
• 8.3.3 Applying Hyperbolas: Navigation
• 8.4.1 Identifying a Conic
• 8.4.2 Name That Conic
• Chapter 8 Test
• 9.1.1 Using the Binomial Theorem
• 9.1.2 Binomial Coefficients

 Week 12

• 9.2.1 Understanding Sequence Problems
• 9.2.2 Solving Problems Involving Arithmetic Sequences
• 9.2.3 Solving Problems Involving Geometric Sequences
• 9.3.1 Proving Formulas Using Mathematical Induction
• 9.3.2 Examples of Induction
• 9.4.1 Solving Problems Involving Permutations
• 9.4.2 Solving Problems Involving Combinations
• 9.4.3 Solving for Probability and Odds: Dice Rolls
• 9.4.4 Solving for Probability and Odds: Decks of Cards
• Chapter 9 Test

Week 13

• Final Exam