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Math 244 – Precalculus Syllabus and Course Overview (Southwestern College, Summer 2026)

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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

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

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

Intro to Quadratic Equations

  • Guided course
    Introduction to Quadratic Equations
    05:35
  • Guided course
    Solving Quadratic Equations by Factoring
    06:08

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

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

Radians

  • Guided course
    Converting between Degrees & Radians
    5:04

Trigonometric Functions on the Unit Circle

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

Graphs of the Sine and Cosine Functions

  • 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

Phase Shifts

  • Guided course
    Phase Shifts
    6:31
  • Guided course
    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 Trigonometric Equations

  • Guided course
    Example 3
    3:29
  • Guided course
    Example 2
    2:17
  • Guided course
    Introduction to Trig Equations
    4:25

Introduction to Trigonometric Identities

  • Guided course
    Simplifying Trig Expressions
    6:36
  • Guided course
    Example 1
    2:20
  • Guided course
    Example 4
    5:18

Sum and Difference Identities

  • Guided course
    Sum and Difference of Tangent
    4:47
  • Guided course
    Sum and Difference of Sine & Cosine Example 3
    2:42
  • Guided course
    Sum and Difference of Sine & Cosine
    06:14

Double Angle Identities

  • Guided course
    Double Angle Identities
    5:06
  • Guided course
    Double Angle Identities Example 1
    2:33
  • Guided course
    Double Angle Identities Example 2
    2:26

Solving Trigonometric Equations Using Identities

  • Guided course
    Solve Trig Equations Using Identity Substitutions
    4:42

Law of Sines

  • Guided course
    Solving SSA Triangles ("Ambiguous" Case) Example 1
    4:02
  • Guided course
    Solving SSA Triangles ("Ambiguous" Case)
    9:50
  • Guided course
    Solving SAA & ASA Triangles
    7:23

Law of Cosines

  • Guided course
    Solving SAS & SSS Triangles
    7:50
  • Guided course
    Intro to Law of Cosines
    4:35

Polar Coordinate System

  • Guided course
    Determining Different Coordinates for the Same Point Example 2
    3:00
  • Guided course
    Intro to Polar Coordinates Example 1
    2:13
  • Guided course
    Intro to Polar Coordinates
    5:32

Graphing Complex Numbers

  • Guided course
    How To Plot Complex Numbers
    03:47

Polar Form of Complex Numbers

  • Guided course
    Converting Complex Numbers from Polar to Rectangular Form
    03:58
  • Guided course
    Complex Numbers In Polar Form
    04:47

Products and Quotients of Complex Numbers

  • Guided course
    Quotients of Complex Numbers in Polar Form
    03:40
  • Guided course
    Products of Complex Numbers in Polar Form
    04:46

Powers of Complex Numbers (DeMoivre's Theorem)

  • Guided course
    Powers Of Complex Numbers In Polar Form (DeMoivre's Theorem) Example 1
    03:05
  • Guided course
    Powers Of Complex Numbers In Polar Form (DeMoivre's Theorem)
    03:41
  • Guided course
    Complex Roots
    07:37

Vectors in Component Form

  • Guided course
    Finding Magnitude of a Vector Example 1
    02:26
  • Guided course
    Algebraic Operations on Vectors Example 1
    03:11
  • Guided course
    Position Vectors & Component Form Example 1
    01:36

Introduction to Conic Sections

  • Guided course
    Geometries from Conic Sections
    3:08

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

Parabolas

  • Guided course
    Parabolas as Conic Sections
    05:33
  • Guided course
    Horizontal Parabolas
    05:28
  • Guided course
    Parabolas as Conic Sections Example 1
    07:12

Ellipses: Standard Form

  • Guided course
    Graph Ellipses at Origin
    05:12
  • Guided course
    Graph Ellipses NOT at Origin
    04:50
  • Guided course
    Foci and Vertices of an Ellipse
    05:30

Hyperbolas at the Origin

  • Guided course
    Graph Hyperbolas at the Origin
    04:20
  • Guided course
    Graphing Hyperbolas at the Origin Example 1
    03:58
  • Guided course
    Introduction to Hyperbolas
    06:15

Two Variable Systems of Linear Equations

  • Guided course
    Example 2
    3:31
  • Guided course
    Solving Systems of Equations - Elimination
    6:48
  • Guided course
    Introduction to Systems of Linear Equations
    4:27

Introduction to Matrices

  • Guided course
    Example 1
    13:06
  • Guided course
    Example 2
    11:24
  • Guided course
    Introduction to Matrices
    4:35

Determinants and Cramer's Rule

  • Guided course
    Determinants of 2×2 Matrices
    4:36
  • Guided course
    Determinants of 3×3 Matrices
    7:25
  • Guided course
    Cramer's Rule - 2 Equations with 2 Unknowns
    6:54

Sequences

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

Arithmetic Sequences

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

Geometric Sequences

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

Combinatorics

  • Guided course
    Permutations of Non-Distinct Objects
    06:37
  • Guided course
    Introduction to Permutations
    07:11
  • Guided course
    Permutations vs. Combinations
    03:18