Chapter 3 Linear and Quadratic Functions
3.1 Linear Functions and Their Properties
3.2 Linear Models: Building Linear Functions from Data
3.3 Quadratic Functions and Their Properties
3.4 Build Quadratic Models from Verbal Descriptions and from Data
3.5 Inequalities Involving Quadratic Functions
Chapter 4 Polynomial and Rational Functions
4.1 Polynomial Functions and models
4.2 The Real Zeros of a Polynomial Function
4.3 Complex Zeros: Fundamental Theorem of Algebra
4.4 Properties of Rational Functions
4.5 The Graph of a Rational Function
4.6 Polynomial and Rational Inequalities
Mid Term Exams
Chapter 5 Exponential and logarithmic Functions
5.1 Composite Functions
5.2 One-to-One Functions: Inverse Functions
5.3 Exponential Functions
5.4 Logarithmic Functions
5.5 Properties of Logarithms
5.6 Logarithmic and Exponential Equations
5.7 Financial Models
5.8 Exponential Growth and Decay Models
5.9 Building Exponential, Logarithmic, and Logistic Models
Chapter 6 Trigonometry Functions
6.1 Angles and Their Measure
6.2 Trigonometric Functions: Unit Circle Approach
6.3 Properties of the Trigonometric Functions
6.4 Graphs of Sine and Cosine Functions
6.5 Graphs of the Tangent, Cotangent, Cosecant, and Secant Functions
6.6 Phase Shift: Sinusoidal Curve Fitting
Chapter 7 Analytic Trigonometry
7.1 The inverse Sine, Cosine, and Tangent Functions
7.2 The Inverse Trigonometric Functions (Continued)
7.3 Trigonometric Equations
7.4 Trigonometric Identities
Chapter 8 Applications of Trigonometric Functions
8.1 Right Triangle Trigonometry: Applications
8.2 The Law of Sines
8.3 The Law of Cosines
8.4 Area of Triangle
8.5 Simple Harmonic Motion; Damped Motion: Combining Waves
***If time permits, then the following lessons will be cover***
Chapter 9 Polar Coordinates; Vectors
9.1 Lines
9.2 Polar Equations and Graphs
9.3 The Complex Plane; De Moivre’s Theorem
Chapter 12 Sequences; Induction; the Binomial Theorem
12.1 Sequences
12.2 Arithmetic Sequences: Geometric Series
12.3 Geometric Sequences; Geometric Series
Chapter 14 A Preview of Calculus: The Limit, Derivative, and Integrals
14.1 Finding Limits Using Tables and Graphs
14.2 Algebra Techniques for Finding Limits
14.3 One-Sided Limits; Continuous Functions
14.4 The Area Problem; The Derivative
14.5 The Area Problem; The Integral
Wish you a successful school year!!!