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Precalculus Syllabus and Study Guide: MTH 161 - V04 Spring 2026

Study Guide - Learn with Videos

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

Polynomials Intro

  • Adding and Subtracting Polynomials
    03:34
  • Standard Form of Polynomials
    05:16
  • Introduction to Polynomials
    05:13

Graphs and Coordinates

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

Two-Variable Equations

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

Lines

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

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

Transformations

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

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

Quadratic Functions

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

Introduction to Rational Functions

  • Guided course
    Intro to Rational Functions
    6:04

Introduction to Exponential Functions

  • Guided course
    Exponential Functions
    6:13

Introduction to Logarithms

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

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