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Precalculus Course Overview and Study Guide

Study Guide - Learn with Videos

Curated lessons matched to your uploaded material – learn every topic step by step.

Intro to Functions & Their Graphs

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

Common Functions

  • Graphs of Common Functions
    5:57

Function Operations

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

Function Composition

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

Introduction to Exponential Functions

  • Guided course
    Exponential Functions
    6:13

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

Trigonometric Functions on Right Triangles

  • Introduction to Inverse Trig Functions
    4:28
  • Fundamental Trigonometric Identities
    5:32
  • Introduction to Trigonometric Functions
    6:04

Trigonometric Functions on the Unit Circle

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

Graphs of the Sine and Cosine Functions

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

Graphs of Tangent and Cotangent Functions

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

Graphs of Secant and Cosecant Functions

  • Graphs of Secant and Cosecant Functions
    6:22

Phase Shifts

  • Phase Shifts
    6:31
  • Example 1
    3:42

Inverse Sine, Cosine, & Tangent

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

Linear Equations

  • Guided course
    Solving Linear Equations with Fractions
    04:02
  • Guided course
    Introduction to Solving Linear Equations
    07:48
  • Guided course
    Categorizing Linear Equations
    06:00

Introduction to Conic Sections

  • Geometries from Conic Sections
    3:08

Sequences

  • Example 1
    05:52
  • Example 2
    04:19
  • Introduction to Sequences

Arithmetic Sequences

  • Example 1
    02:35
  • Arithmetic Sequences - General Formula
    05:17
  • Example 2
    07:00

Geometric Sequences

  • Geometric Sequences - General Formula
    04:45
  • Geometric Sequences - Recursive Formula
    04:18

Limits of Sequences

  • Limits of Sequences
    04:53