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Precalculus Course Schedule: Key Topics and Study Guide

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Graphs and Coordinates

  • Guided course
    Graphs and Coordinates - Example
    02:16
  • Guided course
    Graphs & the Rectangular Coordinate System
    05:10

Two-Variable Equations

  • Guided course
    Equations with Two Variables
    05:28
  • Guided course
    Graphing Intercepts
    04:08
  • Guided course
    Graphing Equations of Two Variables by Plotting Points
    4:29

Lines

  • Guided course
    Standard Form of Line Equations
    05:39
  • Guided course
    Types of Slope
    5:17
  • Guided course
    Point-Slope Form
    05:46

Circles

  • Guided course
    Circles in Standard Form
    5:18
  • Guided course
    Circles in General Form
    06:20
  • Guided course
    Circles in Standard Form Example 1
    03:40

Intro to Functions & Their Graphs

  • Guided course
    Finding the Domain and Range of a Graph
    5:10
  • Guided course
    Verifying if Equations are Functions
    5:38
  • Guided course
    Relations and Functions
    5:20

Common Functions

  • Guided course
    Graphs of Common Functions
    5:57

Transformations

  • Guided course
    Reflections of Functions Example 1
    01:09
  • Guided course
    Reflections of Functions
    5:00
  • Guided course
    Graphs of Shifted & Reflected Functions Example 1
    2:49

Function Operations

  • Guided course
    Multiplying & Dividing Functions
    7:24
  • Guided course
    Adding & Subtracting Functions Example 1
    4:46
  • Guided course
    Adding & Subtracting Functions
    5:56

Function Composition

  • Guided course
    Decomposition of Functions
    4:07
  • Guided course
    Function Composition
    4:56
  • Guided course
    Domain Restrictions of Composed Functions
    3:51

Quadratic Functions

  • Guided course
    Properties of Parabolas
    07:42
  • Guided course
    Vertex Form
    08:07
  • Guided course
    Example 1
    07:11

Understanding Polynomial Functions

  • Guided course
    Introduction to Polynomial Functions
    06:04
  • Guided course
    Finding Zeros & Their Multiplicity
    03:42
  • Guided course
    End Behavior of Polynomial Functions
    06:08

Graphing Polynomial Functions

  • Guided course
    Graphing Polynomial Functions
    05:25
  • Guided course
    Identifying Intervals of Unknown Behavior
    05:01
  • Guided course
    Example 1
    09:43

Introduction to Rational Functions

  • Guided course
    Intro to Rational Functions
    6:04

Graphing Rational Functions

  • Guided course
    Example 1
    10:18
  • Guided course
    How to Graph Rational Functions
    8:19
  • Guided course
    Example 1
    3:08

Function Composition

  • Guided course
    Decomposition of Functions
    4:07
  • Guided course
    Function Composition
    4:56
  • Guided course
    Domain Restrictions of Composed Functions
    3:51

Introduction to Exponential Functions

  • Guided course
    Exponential Functions
    6:13

Graphing Exponential Functions

  • Guided course
    Transformations of Exponential Graphs Example 1
    4:12
  • Guided course
    Graphing Exponential Functions Example 1
    3:58
  • Guided course
    Graphs of Exponential Functions
    5:46

Introduction to Logarithms

  • Guided course
    Logarithms Introduction
    7:30
  • Guided course
    The Natural Log
    2:51
  • Guided course
    Evaluate Logarithms
    05:15

Graphing Logarithmic Functions

  • Guided course
    Transformations of Logarithmic Graphs
    4:37
  • Guided course
    Graphing Logarithmic Functions
    4:30
  • Guided course
    Graphs of Logarithmic Functions
    5:26

Properties of Logarithms

  • Guided course
    Product, Quotient, and Power Rules of Logs
    3:49
  • Guided course
    Expand & Condense Log Expressions
    4:22
  • Guided course
    Change of Base Property
    5:36

Solving Exponential and Logarithmic Equations

  • Guided course
    Solving Exponential Equations Using Logs
    5:47
  • Guided course
    Solving Exponential Equations Using Like Bases
    4:46
  • Guided course
    Solving Logarithmic Equations
    5:02

Angles in Standard Position

  • Guided course
    Drawing Angles in Standard Position
    5:50
  • Guided course
    Example 1
    3:59

Defining the Unit Circle

  • Guided course
    Introduction to the Unit Circle
    06:11

Trigonometric Functions on the Unit Circle

  • Guided course
    Sine, Cosine, & Tangent on the Unit Circle
    6:34

Graphs of the Sine and Cosine Functions

  • Guided course
    Amplitude and Reflection of Sine and Cosine
    5:05
  • Guided course
    Example 1
    2:18
  • Guided course
    Graph of Sine and Cosine Function
    5:53

Graphs of Tangent and Cotangent Functions

  • Guided course
    Introduction to Cotangent Graph
    5:37
  • Guided course
    Example 1
    3:40
  • Guided course
    Introduction to Tangent Graph
    5:43

Graphs of Secant and Cosecant Functions

  • Guided course
    Graphs of Secant and Cosecant Functions
    6:22

Inverse Sine, Cosine, & Tangent

  • Guided course
    Inverse Tangent
    3:17
  • Guided course
    Example 1
    1:08
  • Guided course
    Example 3
    1:25

Linear Inequalities

  • Guided course
    Interval Notation
    05:18
  • Guided course
    Linear Inequalities with Fractions & Variables on Both Sides
    03:42
  • Linear Inequalities
    06:07