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# Pre-Calculus 40S

Subject
Mathematics
12
Country
Province/State
Manitoba

Course Overview

Formula Sheet

#### Transformations

Functions and Their Graphs

Translating Graphs of Functions

Reflecting Graphs of Functions

Compressing and Expanding Graphs of Functions

Combining Transformations of Functions

Finding the Coordinates of Ordered Pairs

Transformations - Review Assignment

Graphing Rational Functions

Analysing Rational Functions

Equations and Graphs of Rational Functions

The Square Root Functions

Graphing Radicals and Rationals - Review Assignment

#### Polynomials

The Remainder Theorem

The Factor Theorem

Factoring Polynomials

Solving Polynomial Functions

Graphs of Polynomial Functions

Polynomials - Review Assignment

#### Exponents and Logarithms

Review The Laws of Exponents

Solving Equations Involving Exponents

Defining a Logarithm and Logarithmic Restrictions

Laws of Logarithms

Solving Exponential and Logarithmic Equations

Introduction to Exponential Functions

Applications of Exponential Functions Part I

Applications of Exponential Functions Part II

Graphs of Exponential Functions

Graphing Logarithmic Functions

Exponents and Logarithms - Review Assignment

#### Trigonometric Functions

Radian Measure – Angles in Standard Position

Sine,Cosine and Tangent

Sine, Cosine and Tangent Functions of Special Angles

Graphing Sine and Cosine Functions

Transformations of Trigonometric Functions Part I

Transformations of Trigonometric Functions Part Il

Sinusoidal Functions with Rational Periods

Applications of Sinusoidal Functions

Graphing the Tangent Function

Graphing the Trigonometric Reciprocal Functions

Trigonometric Functions - Review Assignment

#### Trigonometric Equations and Identities

Solving Trigonometric Equations with a Graphing Calculator

Solving Trigonometric Equations for Exact Values

Reciprocal and Pythagorean Identities

More Trigonometric Identities

Sum and Difference Identities

Double Angle Identities

Trigonometric Equations and Identities - Review Assignment

#### Permutations and Combinations

The Fundamental Counting Principle

Permutations Involving Different Objects

Permutations Involving Identical Objects

Combinations

Pascal’s Triangle and the Binomial Theorem

Permutations and Combinations - Review Assignment

#### Function Notation and Operations

Function Notation

Sums and Difference of Functions

Products and Quotients of Functions

Composition of Functions

Function Notation and Operations - Review Assignment