Learning Materials
Math 124Extended

Prerequisite Concepts

The Integers; Order of Operations

Composite and Prime Numbers

Introduction to Rational Numbers

Learning Materials #1 and #2PRE

#1 - Math 124 Concepts

Linear Equations in One Variable

Examples

#2PRE - Math 24 Concepts (Prerequisite for #2)

The Rectangular Coordinate System

Learning Materials #2 and #3a

#2 - Math 124 Concepts

Linear Equations in Two Variables

Examples

Horizontal and Vertical Lines

Examples

#3a - Math 124 Concepts

The Slope of a Line

Learning Materials #3b and #4PRE

#3b - Math 124 Concepts

Uses of the Slope of a Line

Examples

#4PRE - Math 24 Concepts (Prerequisite for #4)

Interval and Set-Builder Notation

Video Video for Lecture #4PRE: https://www.youtube.com/watch?v=KrqWobzEWJ0

Learning Materials #4 and #5PRE

#4 - Math 124 Concepts

Introduction to Functions

Examples

Linear and Constant Functions

Examples

#5PRE - Math 24 Concepts (Prerequisite for #5)

Exponential Expressions; Advanced Order of Operations

Absolute Value Equations

Videos for Lecture #5PRE:

Learning Materials #5 and #6PRE

#5 - Math 124 Concepts

Common Functions

Examples

#6PRE - Math 24 Concepts (Prerequisite for #6)

The Distributive Property Extended

Exam 1 (#1, 2, 3a, 3b, 4, 5)

Learning Materials #6 and #7PRE

#6 - Math 124 Concepts

Operations on Functions

Examples

#7PRE - Math 24 Concepts (Prerequisite for #7)

Factoring

Complex Numbers

Videos for Lecture #7PRE:

Learning Materials #7 and #8a

#7 - Math 124 Concepts

Examples

Where does the Quadratic Formula come from?

#8a - Math 124 Concept

Learning Materials #8b and #8c

#8b - Math 124 Concepts

Examples

Examples

Comparing the two parabolic vertex formulas

Why are certain coordinates associated with the vertex of a parabola?

#8c - Math 124 Concept

Learning Materials #9 and #10PRE

#9 - Math 124 Concepts

Polynomial Functions

Examples

#10PRE - Math 24 Concept (Prerequisite for #10)

Learning Materials #10 and #11PRE

#10 - Math 124 Concepts

Finding and Using Zeros of Polynomial Functions

Examples

#11PRE - Math 24 Concept (Prerequisite for #11)

Learning Materials #11 and #12PRE

#11 - Math 124 Concept

Inverses of Functions

Examples

#12a - Math 124 Concept

Rational Equations in One Variable

Videos for Lecture #12a:

Exam 2 (#6, 7, 8a, 8b, 8c, 9, 10, 11)

Learning Materials #12b and #13a

#12b - Math 124 Concept

Rational Functions

Examples

#13a - Math 124 Concept

Using Desmos to Explore Rational Functions

Video for Lecture #13a: https://www.youtube.com/watch?v=1vX6SYRYfmw (Shows how to graph rational functions using Desmos)

Learning Materials #13b and #14PRE

#13b - Math 124 Concepts

The Reciprocal Function

Examples

#14PRE - Math 24 (Prerequisite for #14)

The Number e

Learning Materials #14 and #15a

#14 - Math 124 Concept

Exponential Functions

Examples

#15a - Math 124 Concept

Learning Materials #15b and #15c

#15b - Math 124 Concept

Logarithmic Functions

Examples

#15c - Math 124 Concepts

Logarithm Rules

Proofs of the Logarithm Rules and the Change-of-Base Formula

Logarithm Arguments of Less than or Equal to Zero. Is it possible?

Learning Materials #16a and 16b

#16a - Math 124 Concept

Exponential Equations in One Variable

Examples

#16b - Math 124 Concept

Applications with Exponential Equations

Learning Materials #17 and 18PRE

#17 - Math 124 Concept

Logarithmic Equations in One Variable

Examples

#18PRE - Math 24 Concept (Prerequisite for #18)

Systems of Two Linear Equations in Two Variables

Exam 3 (#12b, 13a, 13b, 14, 151, 15b, 15c, 16a, 16b, 17)

Learning Materials #18 and #19a

#18 - Math 124 Concept

Systems of Linear Equations in Three Variables

Examples

#19a - Math 124 Concepts

Introduction to Matrices

Learning Materials #19b and 20PRE

#19b - Math 124 Concept

Solve Systems of Linear Equations using Matrices

Examples

#20PRE - Math 24 Concept (Prerequisite for #20)

Linear Inequalities in One Variable

Learning Materials #20 and #21a

#20 - Math 124 Concept

Systems of Linear Inequalities in Two Variables

Examples

#21a - Math 124 Concept

Factorials and Summation

Learning Materials #21b

#21b - Math 124 Concept

Arithmetic Sequences and Series

Examples

Proofs of some Formulas used for Arithmetic Sequences and Series

Learning Materials #22

#22 - Math 124 Concept

Examples

Exam 4 (#18, 19a, 19b, 20, 21a, 21b, 22)

(Optional) Learning Materials #23

#23 - Math 124 Concept

Applications of Arithmetic Sequences and Series

Applications of Geometric Sequences and Series