Week 1

• 1.1.1 Using the Cartesian System
• 1.1.2 Thinking Visually
• 1.2.1 Finding the Distance between Two Points
• 1.2.2 Finding the Second Endpoint of a Segment
• 1.3.1 Collinearity and Distance
• 1.3.2 Triangles
• 1.4.1 Finding the Center-Radius Form of the Equation of a Circle
• 1.4.2 Finding the Center and Radius of a Circle
• 1.4.3 Decoding the Circle Formula
• 1.4.4 Solving Word Problems Involving Circles
• 1.5.1 Graphing Equations by Locating Points
• 1.5.2 Finding the x- and y-Intercepts of an Equation
• 1.6.1 Functions and the Vertical Line Test
• 1.6.2 Identifying Functions
• 1.6.3 Function Notation and Finding Function Values
• 1.7.1 Determining Intervals Over Which a Function Is Increasing
• 1.7.2 Evaluating Piecewise-Defined Functions for Given Values
• 1.7.3 Solving Word Problems Involving Functions

Week 2

• 1.8.1 Finding the Domain and Range of a Function
• 1.8.2 Domain and Range: One Explicit Example
• 1.8.3 Satisfying the Domain of a Function
• 1.9.1 An Introduction to Slope
• 1.9.2 Finding the Slope of a Line Given Two Points
• 1.9.3 Interpreting Slope from a Graph
• 1.9.4 Graphing a Line Using Point and Slope
• 1.10.1 Writing an Equation in Slope-Intercept Form
• 1.10.2 Writing an Equation Given Two Points
• 1.10.3 Writing an Equation in Point-Slope Form
• 1.10.4 Matching a Slope-Intercept Equation with Its Graph
• 1.10.5 Slope for Parallel and Perpendicular Lines
• 1.11.1 Constructing Linear Function Models of Data
• 1.11.2 Linear Cost and Revenue Functions
• 1.12.1 Graphing Some Important Functions
• 1.12.2 Graphing Piecewise-Defined Functions
• 1.12.3 Matching Equations with Their Graphs

Week 3

• 1.13.1 The Greatest Integer Function
• 1.13.2 Graphing the Greatest Integer Function
• 1.14.1 Deconstructing the Graph of a Quadratic Function
• 1.14.2 Nice-Looking Parabolas
• 1.14.3 Using Discriminants to Graph Parabolas
• 1.14.4 Maximum Height in the Real World
• 1.15.1 Finding the Vertex by Completing the Square
• 1.15.2 Using the Vertex to Write the Quadratic Equation
• 1.15.3 Finding the Maximum or Minimum of a Quadratic
• 1.15.4 Graphing Parabolas

Week 4

• 1.16.1 Shifting Curves along Axes
• 1.16.2 Shifting or Translating Curves along Axes
• 1.16.3 Stretching a Graph
• 1.16.4 Graphing Quadratics Using Patterns
• 1.17.1 Determining Symmetry
• 1.17.2 Reflections
• 1.17.3 Reflecting Specific Functions
• 1.18.1 Using Operations on Functions
• 1.18.2 Composite Functions
• 1.18.3 Components of Composite Functions
• 1.18.4 Finding Functions That Form a Given Composite
• 1.18.5 Finding the Difference Quotient of a Function
• Chapter 1 Test

Week 5

• 2.1.1 Using Long Division with Polynomials
• 2.1.2 Long Division: Another Example
• 2.2.1 Using Synthetic Division with Polynomials
• 2.2.2 More Synthetic Division
• 2.3.1 The Remainder Theorem
• 2.3.2 More on the Remainder Theorem
• 2.4.1 The Factor Theorem and Its Uses
• 2.4.2 Factoring a Polynomial Given a Zero

Week 6

• 2.5.1 Presenting the Rational Zero Theorem
• 2.5.2 Considering Possible Solutions
• 2.6.1 Finding Polynomials Given Zeros, Degree, and One Point
• 2.6.2 Finding all Zeros and Multiplicities of a Polynomial
• 2.6.3 Finding the Real Zeros for a Polynomial
• 2.6.4 Using Descartes' Rule of Signs
• 2.6.5 Finding the Zeros of a Polynomial from Start to Finish
• 2.7.1 Matching Graphs to Polynomial Functions
• 2.7.2 Sketching the Graphs of Basic Polynomial Functions

Week 7

• 2.8.1 Understanding Rational Functions
• 2.8.2 Basic Rational Functions
• 2.9.1 Vertical Asymptotes
• 2.9.2 Horizontal Asymptotes
• 2.9.3 Graphing Rational Functions
• 2.9.4 Graphing Rational Functions: More Examples
• Chapter 2 Test

Week 8

• 3.1.1 Understanding Inverse Functions
• 3.1.2 The Horizontal Line Test
• 3.1.3 Are Two Functions Inverses of Each Other?
• 3.1.4 Graphing the Inverse
• 3.2.1 Finding the Inverse of a Function
• 3.2.2 Finding the Inverse of a Function with Higher Powers
• 3.3.1 An Introduction to Exponential Functions
• 3.3.2 Graphing Exponential Functions: Useful Patterns
• 3.3.3 Graphing Exponential Functions: More Examples

Week 9

• 3.4.1 Using Properties of Exponents to Solve Exponential Equations
• 3.4.2 Finding Present Value and Future Value
• 3.4.3 Finding an Interest Rate to Match Given Goals
• 3.5.1 e
• 3.5.2 Applying Exponential Functions
• 3.6.1 An Introduction to Logarithmic Functions
• 3.6.2 Converting between Exponential and Logarithmic Functions
• 3.7.1 Finding the Value of a Logarithmic Function
• 3.7.2 Solving for x in Logarithmic Equations
• 3.7.3 Graphing Logarithmic Functions
• 3.7.4 Matching Logarithmic Functions with Their Graphs

Week 10

• 3.8.1 Properties of Logarithms
• 3.8.2 Expanding a Logarithmic Expression Using Properties
• 3.8.3 Combining Logarithmic Expressions
• 3.9.1 Evaluating Logarithmic Functions Using a Calculator
• 3.9.2 Using the Change of Base Formula
• 3.10.1 The Richter Scale
• 3.10.2 The Distance Modulus Formula
• 3.11.1 Solving Exponential Equations
• 3.11.2 Solving Logarithmic Equations
• 3.11.3 Solving Equations with Logarithmic Exponents

Week 11

• 3.12.1 Compound Interest
• 3.12.2 Predicting Change
• 3.13.1 An Introduction to Exponential Growth and Decay
• 3.13.2 Half-Life
• 3.13.3 Newton's Law of Cooling
• 3.13.4 Continuously Compounded Interest
• Chapter 3 Test

Week 12

• 4.1.1 An Introduction to Conic Sections
• 4.1.2 An Introduction to Parabolas
• 4.1.3 Determining Information about a Parabola from Its Equation
• 4.1.4 Writing an Equation for a Parabola
• 4.2.1 An Introduction to Ellipses
• 4.2.2 Finding the Equation for an Ellipse
• 4.2.3 Applying Ellipses: Satellites

Week 13

• 4.3.1 An Introduction to Hyperbolas
• 4.3.2 Finding the Equation for a Hyperbola
• 4.3.3 Applying Hyperbolas: Navigation
• 4.4.1 Identifying a Conic
• 4.4.2 Name That Conic
• 4.5.1 Using the Binomial Theorem
• 4.5.2 Binomial Coefficients

Week 14

• 4.6.1 Understanding Sequence Problems
• 4.6.2 Solving Problems Involving Arithmetic Sequences
• 4.6.3 Solving Problems Involving Geometric Sequences
• 4.7.1 Proving Formulas Using Mathematical Induction
• 4.7.2 Examples of Induction
• 4.8.1 Solving Problems Involving Permutations
• 4.8.2 Solving Problems Involving Combinations
• 4.8.3 Solving for Probability and Odds: Dice Rolls
• 4.8.4 Solving for Probability and Odds: Decks of Cards

Week 15

• Chapter 4 Test
• Midterm Exam

Week 16

• 5.1.1 Finding the Quadrant in Which an Angle Lies
• 5.1.2 Finding Coterminal Angles
• 5.1.3 Finding the Complement and Supplement of an Angle
• 5.1.4 Converting between Degrees and Radians
• 5.1.5 Using the Arc Length Formula

Week 17

• 5.2.1 An Introduction to the Trigonometric Functions
• 5.2.2 Evaluating Trigonometric Functions for an Angle in a Right Triangle
• 5.2.3 Finding an Angle Given the Value of a Trigonometric Function
• 5.2.4 Using Trigonometric Functions to Find Unknown Sides of Right Triangles
• 5.2.5 Finding the Height of a Building

Week 18

• 5.3.1 Evaluating Trigonometric Functions for an Angle in the Coordinate Plane
• 5.3.2 Evaluating Trigonometric Functions Using the Reference Angle
• 5.3.3 Finding the Value of Trigonometric Functions Given Information about the Values of Other Trigonometric Functions
• 5.3.4 Trigonometric Functions of Important Angles

Week 19

• 5.4.1 An Introduction to the Graphs of Sine and Cosine Functions
• 5.4.2 Graphing Sine or Cosine Functions with Different Coefficients
• 5.4.3 Finding Maximum and Minimum Values and Zeros of Sine and Cosine
• 5.4.4 Solving Word Problems Involving Sine or Cosine Functions

Week 20

• 5.5.1 Graphing Sine and Cosine Functions with Phase Shifts
• 5.5.2 Fancy Graphing: Changes in Period, Amplitude, Vertical Shift, and Phase Shift
• 5.6.1 Graphing the Tangent, Secant, Cosecant, and Cotangent Functions
• 5.6.2 Fancy Graphing: Tangent, Secant, Cosecant, and Cotangent
• 5.6.3 Identifying a Trigonometric Function from its Graph

Week 21

• 5.7.1 An Introduction to Inverse Trigonometric Functions
• 5.7.2 Evaluating Inverse Trigonometric Functions
• 5.7.3 Solving an Equation Involving an Inverse Trigonometric Function
• 5.7.4 Evaluating the Composition of a Trigonometric Function and Its Inverse
• 5.7.5 Applying Trigonometric Functions: Is He Speeding?
• Chapter 5 Test

Week 22

• 6.1.1 Fundamental Trigonometric Identities
• 6.1.2 Finding All Function Values
• 6.2.1 Simplifying a Trigonometric Expression Using Trigonometric Identities
• 6.2.2 Simplifying Trigonometric Expressions Involving Fractions
• 6.2.3 Simplifying Products of Binomials Involving Trigonometric Functions
• 6.2.4 Factoring Trigonometric Expressions
• 6.2.5 Determining Whether a Trigonometric Function Is Odd, Even, or Neither

Week 23

• 6.3.1 Proving an Identity
• 6.3.2 Proving an Identity: Other Examples
• 6.4.1 Solving Trigonometric Equations
• 6.4.2 Solving Trigonometric Equations by Factoring
• 6.4.3 Solving Trigonometric Equations with Coefficients in the Argument
• 6.4.4 Solving Trigonometric Equations Using the Quadratic Formula
• 6.4.5 Solving Word Problems Involving Trigonometric Equations

Week 24

• 6.5.1 Identities for Sums and Differences of Angles
• 6.5.2 Using Sum and Difference Identities
• 6.5.3 Using Sum and Difference Identities to Simplify an Expression
• 6.6.1 familyirming a Double-Angle Identity
• 6.6.2 Using Double-Angle Identities
• 6.6.3 Solving Word Problems Involving Multiple-Angle Identities

Week 25

• 6.7.1 Using a Cofunction Identity
• 6.7.2 Using a Power-Reducing Identity
• 6.7.3 Using Half-Angle Identities to Solve a Trigonometric Equation
• Chapter 6 Test

Week 26

• 7.1.1 The Law of Sines
• 7.1.2 Solving a Triangle Given Two Sides and One Angle
• 7.1.3 Solving a Triangle (SAS): Another Example
• 7.1.4 The Law of Sines: An Application

Week 27

• 7.2.1 The Law of Cosines
• 7.2.2 The Law of Cosines (SSS)
• 7.2.3 The Law of Cosines (SAS): An Application
• 7.2.4 Heron's Formula

Week 28

• 7.3.1 An Introduction to Vectors
• 7.3.2 Finding the Magnitude and Direction of a Vector
• 7.3.3 Vector Addition and Scalar Multiplication
• 7.4.1 Finding the Components of a Vector
• 7.4.2 Finding a Unit Vector
• 7.4.3 Solving Word Problems Involving Velocity or Forces

Week 29

• 7.5.1 Graphing a Complex Number and Finding Its Absolute Value
• 7.5.2 Expressing a Complex Number in Trigonometric or Polar Form
• 7.5.3 Multiplying and Dividing Complex Numbers in Trigonometric or Polar Form
• 7.6.1 Using DeMoivre's Theorem to Raise a Complex Number to a Power
• 7.6.2 Roots of Complex Numbers

Week 30

• 7.6.3 More Roots of Complex Numbers
• 7.6.4 Roots of Unity
• 7.7.1 An Introduction to Polar Coordinates
• 7.7.2 Converting between Polar and Rectangular Coordinates
• 7.7.3 Graphing Simple Polar Equations
• Chapter 7 Test

Week 31

• 8.1.1 An Introduction to Linear Systems
• 8.1.2 Solving a System by Substitution
• 8.1.3 Solving a System by Elimination
• 8.2.1 An Introduction to Linear Systems in Three Variables

Week 32

• 8.2.2 Solving Linear Systems in Three Variables
• 8.2.3 Solving Inconsistent Systems
• 8.2.4 Solving Dependent Systems
• 8.2.5 Solving Systems with Two Equations

Week 33

• 8.3.1 Investments
• 8.3.2 Solving with Partial Fractions
• 8.4.1 Solving Nonlinear Systems Using Elimination
• 8.4.2 Solving Nonlinear Systems by Substitution

Week 34

• 8.5.1 An Introduction to Matrices
• 8.5.2 The Arithmetic of Matrices
• 8.5.3 Multiplying Matrices by a Scalar
• 8.5.4 Multiplying Matrices
• 8.5.5 Can They Multiply?

Week 35

• 8.6.1 Using the Gauss-Jordan Method
• 8.6.2 Using Gauss-Jordan: Another Example
• 8.7.1 Evaluating 2x2 Determinants
• 8.7.2 Evaluating 3x3 Determinants
• 8.7.3 Applying Determinants

Week 36

• 8.8.1 Using Cramer's Rule
• 8.8.2 Using Cramer's Rule in a 3x3 Matrix
• 8.9.1 An Introduction to Inverses
• 8.9.2 Inverses: 2x2 Matrices
• 8.9.3 Another Look at 2x2 Inverses
• 8.9.4 Inverses: 3x3 Matrices
• 8.9.5 Solving a System of Equations with Inverses

Week 37

• 8.10.1 An Introduction to Systems of Inequalities
• 8.10.2 Graphing Systems of Inequalities
• 8.10.3 Graphing the Solution Set of a System of Inequalities
• 8.11.1 Solving for Maxima-Minima
• 8.11.2 Applying Linear Programming

Week 38

• Chapter 8 Test
• Practice Exam

Week 39

• Final Exam