Pre-Calculus

Gain experience in advanced algebra, advanced trigonometry, analytic geometry and trigonometry. Analyze elementary functions and curve-sketching, and explore normal probability distributions, non-linear regression and hypothesis testing. Practice with proofs and using graphic calculators.

This High School Course is also offered as part of the College Prep Online Diploma program.

Credits: 1 Unit

Course ID: MAV12

Course Area: Math

Course Type: College Prep

Study Method: Online

Course Outline:

Module 1: Functions

Unit 1: Introduction to Functions and Function graphs

Lesson 1: Definition, domain, range.

Lesson 2: Graph of functions

Lesson 3: Transformations of functions: shifting, reflecting and stretching

Lesson 4: Combinations of functions: sum, difference, product and quotient of functions; composition of functions.

Lesson 5: Inverse functions

Unit 2: Polynomial and Rational Functions

Lesson 1: Definition of polynomial functions and their graphs

Lesson 2: Complex numbers

Lesson 3: Zeros of polynomial functions; the fundamental theorem of algebra

Lesson 4: Rational functions

Unit 3: Exponential and Logarithmic Functions

Lesson 1: Exponential functions and their graphs

Lesson 2: Exponential functions and their graphs

Lesson 3: Exponential functions and their graphs

Lesson 4: Solve exponential equations

Lesson 5: Solve logarithmic equations

Lesson 6: Modeling with exponential and logarithmic functions

Module 2: Trigonometric functions

Unit 1: Trigonometry

Lesson 1: Right angle trigonometry

Lesson 2: Radian and degree measure

Lesson 3: Trigonometric functions: the unit circuit

Lesson 4: Trigonometric functions: any angle

Lesson 5: Graph of sine and cosine functions

Lesson 6: Graphs of other trigonometric functions

Lesson 7: Inverse trigonometric functions

Unit 2: Analytic trigonometry

Lesson 1: Fundamental identities

Lesson 2: Verify trigonometric identities

Lesson 3: Solving trigonometric equations

Lesson 4: Sum and difference formulas

Lesson 5: Graphing equations

Module 3: Advanced Topics

Unit 1: Advanced topics in trigonometry

Lesson 1: Multiple angle and product-to-sum formula

Lesson 2: Law of sines

Lesson 3: Law of cosines

Unit 2: System of Equations and Inequalities

Lesson 1: Solving system of equations

Lesson 2: Linear system of equations in two variables

Lesson 3: Linear system of equations in several variables

Lesson 4: System of inequalities

Items Provided by Students:

• Scientific Calculator
• Graph Paper
• Straight edge (commonly called a ruler)
• Protractor