LESSONS - MATH 124E - SPRING

MODULE 1

Prerequisite Concepts (116)

Whole and Decimal Numbers

Examples

The Integers; Simple Order of Operations

Examples

Introduction to Rational Numbers

Examples

Operations on Rational Numbers

Examples

Learning Materials #1PRE

#1PRE - Math 24 Concepts (Prerequisite for #1)

Texts:

Introduction to Algebra

Composite and Prime Numbers (Math 116)

Videos:

The vocabulary of algebra

The simple Order of Operations

The Distributive Property

Definition of composite and prime numbers; Prime Factorization

Learning Materials #1 and #2PRE

#1 - Math 124 Concepts

Linear Equations in One Variable

Examples

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

Text:

The Rectangular Coordinate System

Videos:

Construct a rectangular coordinate system

Plot ordered pairs in a rectangular coordinate system

#2 - Math 124 Concepts

Linear Equations in Two Variables

Examples

Horizontal and Vertical Lines

Learning Materials #3 and #4PRE

#3 - Math 124 Concepts

Uses of the Slope of a Line

Examples

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

Text:

Systems of Linear Equations in Two Variables

Videos:

Introduction to systems of two linear equations in two variables

Solve systems of two linear equations in two variables using the substitution method

Solve systems of two linear equations in two variables using the elimination method

Learning Materials #4

#4 - Math 124 Concept

Systems of Linear Equations in Three Variables

Examples

Learning Materials #5 and #6PRE

#5 - Math 124 Concept

Solve Systems of Linear Equations using Matrices

Examples

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

Text:

Linear Inequalities in One Variable

Video:

Linear inequalities in one variable

Learning Materials #6 and #7PRE

#6 - Math 124 Concept

Systems of Linear Inequalities in Two Variables

Examples

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

Text:

Express Subsets of Numbers

Video:

Interval Notation and Set-Builder Notation to express a subset of numbers

Learning Materials #7 and #8PRE

#7 - Math 124 Concepts

Introduction to Functions

Linear and Constant Functions

Examples

#8PRE - Math 24 Concepts (Prerequisite for #8)

Texts:

Exponential Expressions; Advanced Order of Operations

Absolute Value

Videos:

Evaluate exponential expressions

Use the rules of exponents

Use the advanced Order of Operations

Perform arithmetic operations on radical expressions; Rationalize a radical in a denominator; Convert radical expressions to exponential expressions and vice versa

Find the absolute value; Solve absolute value equations

MODULE 2

Learning Materials #8 and #9PRE

#8 - Math 124 Concepts

Common Functions

Examples

#9PRE - Math 24 Concepts (Prerequisite for #9)

Text:

Products of Mathematical Expressions

Videos:

Use the extension of the Distributive Property

Use FOIL; Use the Difference of Squares Formula

Learning Materials #9 and #10PRE

#9 - Math 124 Concepts

Operations on Functions

Examples

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

Texts:

Factoring

Introduction to Complex Numbers

Videos:

Introduction to factoring; Factor out common factors

Factor by grouping

Factor expressions of the form ax2 + bx + c

Factor expressions of the form ax2 + bx + c when a = 1

Use the Difference of Squares Formula to factor

Introduction to complex numbers

Learning Materials #10

#10 - Math 124 Concepts

Examples

Where does the Quadratic Formula come from?

Learning Materials 11a and #11b

#11a - Math 124 Concepts

Examples

Examples

Comparing the two parabolic vertex formulas

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

#11b - Math 124 Concepts

Text:

Videos:

Find the minima and maxima of quadratic functions

Find the minima and maxima given business formulas

Find the minima and maxima involving gravity

Learning Materials #12

#12 - Math 124 Concepts

Polynomial Functions

Examples

Learning Materials #13

#13 - Math 124 Concepts

Lesson 10PRE Review: Factoring and Complex Numbers

Finding and Using Zeros of Polynomial Functions

Examples

Learning Materials #14

#14 - Math 124 Concept

Rational Equations in One Variable

Examples

Learning Materials #15 and #16PRE

#15 - Math 124 Concept

Rational Functions

Examples

#16PRE - Math 24 Concepts

Text:

Video:

Solve radical equations in one variable

MODULE 3

Learning Materials #16

#16 - Math 124 Concepts

Inverses of Functions

Examples

Learning Materials #17

#17 - Math 124 Concept

Exponential Functions

Examples

Learning Materials #18

#18 - Math 124 Concept

Introduction to Logarithms

Logarithmic Functions

Examples

Learning Materials #19

#19 - Math 124 Concepts

Logarithm Rules

Examples

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

Learning Materials #20a and #20b

#20a - Math 124 Concept

Exponential Equations in One Variable

Examples

#20b - Math 124 Concept

Text:

Applications of Exponential Equations

Video:

Use the exponential growth and decay formula

Use the logistic growth formula

Use the compounded interest formulas

Learning Materials #21a and #21b

#21a - Math 124 Concept

Logarithmic Equations in One Variable

Examples

#21b - Math 124 Concept

Text:

Videos:

Calculate acidity and alkalinity

Calculate sound intensity

Calculate the magnitude of earthquakes

Learning Materials #22

#22 - Math 124 Concept

Introduction to Sequences and Series

Arithmetic Sequences and Series

Examples

Learning Materials #23

#23 - Math 124 Concept

Geometric Sequences and Series

Examples

Proofs of some Formulas used for Geometric Sequences and Series