** LESSONS - MATH 124E**

**MODULE 1**

Prerequisite Concepts (in 116)

Introduction to Rational Numbers

Operations on Rational Numbers

Learning Materials

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

Texts:Introduction to Algebra (also C&E for 116)

Videos:Some vocabulary of algebra - https://www.youtube.com/watch?v=HFUa94G0jLw

The Order of Operations - https://www.youtube.com/watch?v=6xAaNNge4zM

The Distributive Property - https://www.youtube.com/watch?v=FmOamAIq1nA

#1 - Math 124 Concepts

Linear Equations in One Variable

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

Text:

Videos:Construct a rectangular coordinate system - https://www.youtube.com/watch?v=XQGNKvTfVp0

Plot points in the rectangular coordinate system - https://www.youtube.com/watch?v=dv8ap7SvnvY

#2 - Math 124 Concepts

Linear Equations in Two Variables

#3 - Math 124 Concepts

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

Text:

Videos:Introduction to systems of two linear equations in two variables - https://www.youtube.com/watch?v=PZOcQSTc17M

Solve systems of two linear equations in two variables using the substitution method - https://www.youtube.com/watch?v=e3IImsgLN80

Solve systems of two linear equations in two variables using the elimination method - https://www.youtube.com/watch?v=uK1vt1bIqLk

Two examples of solving systems of two linear equations in two variables using the elimination method - https://www.youtube.com/watch?v=j4Qa3_ETs1Q

#4 - Math 124 Concept

Systems of Linear Equations in Three Variables

#5 - Math 124 Concept

Solve Systems of Linear Equations using Matrices

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

Text:Linear Inequalities in One Variable (116, also C&E in 116)

Video:Linear inequalities in one variable - https://www.youtube.com/watch?v=RVACq9Bk8do

#6 - Math 124 Concept

Linear Inequalities in Two Variables

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

Text:

Video:Interval and Set-Builder Notation - https://www.youtube.com/watch?v=qAOVe7iOoIM

#7 - Math 124 Concepts

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

Texts:

Videos:Evaluate exponential expressions - https://www.youtube.com/watch?v=Hb7rKvKgkuM

Use the rules of exponents - https://www.youtube.com/watch?v=Upd6zbGMO-w

Use the Order of Operations with exponents - https://www.youtube.com/watch?v=3qgZI_hIO9s

Evaluate radical expressions - https://www.youtube.com/watch?v=bwupvCu6Myg

Perform operations on radical expressions - https://www.youtube.com/watch?v=9CEV9VAh6pQ

Absolute value equations - https://www.youtube.com/watch?v=2RREvxKG-uc

**MODULE 2**

Learning Materials

#8 - Math 124 Concepts

Commonly Encountered Functions

Transformations of Some Functions

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

Text:

Video:Products of mathematical expressions - https://www.youtube.com/watch?v=lotjzSlSE50

#9 - Math 124 Concepts

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

Texts:

Videos:Imaginary and complex numbers - https://www.youtube.com/watch?v=0hOhSb5zsFc

Introduction to factoring; Factor out common factors - https://www.youtube.com/watch?v=RrktMVefQzI

Factor by grouping - https://www.youtube.com/watch?v=zSAQEIU3IXo

Factor expressions of the form a

x^{2}+ bx+ c - https://www.youtube.com/watch?v=3a-fRXhrtpYFactor expressions of the form a

x^{2}+ bx+ c when a = 1 - https://www.youtube.com/watch?v=IdPvclnHbwQFactor Difference of Squares - https://www.youtube.com/watch?v=ZnzFI9np-zs

#10 - Math 124 Concepts

Quadratic Equations in One Variable

#11a - Math 124 Concepts

Comparing the two parabolic vertex formulas

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

#11b - Math 124 Concepts

Text:

Video:Applications of quadratic functions - https://www.youtube.com/watch?v=w-gTi5lVRPM

#12 - Math 124 Concepts

#13 - Math 124 Concepts

Lesson 10PRE Review: Factoring and Complex Numbers

Finding and Using Zeros of Polynomial Functions

#14 - Math 124 Concept

Rational Equations in One Variable

#15 - Math 124 Concept

#16PRE - Math 24 Concepts

Text:

Video:Radical equations in one variable - https://www.youtube.com/watch?v=s2GkQddHhZU

**MODULE 3**

Learning Materials

#16 - Math 124 Concepts

#17 - Math 124 Concept

#18 - Math 124 Concept

#19 - Math 124 Concepts

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

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

#20a - Math 124 Concept

Exponential Equations in One Variable

#20b - Math 124 Concept

Text:

Videos:Use the exponential growth and decay formula - https://www.youtube.com/watch?v=k-eKpd8MG2Q

Use the logistic growth formula - https://www.youtube.com/watch?v=L0j7Q1H4Ysc

#21 - Math 124 Concept (21 in the spring and 21a in the fall)

Logarithmic Equations in One Variable

#21b - Math 124 Concept (not in the spring but 21b in the fall)

Text:

Videos:Calculate

pHand the magnitude of earthquakes - https://www.youtube.com/watch?v=eXk8fX7oRVoCalculate sound intensity - https://www.youtube.com/watch?v=8YbXIaxYfFw

#22 - Math 124 Concept (Spring only)

Text:

Video:Introduction to Sequences and Series - https://www.youtube.com/watch?v=LBdn3nrAWG8

#22 - Math 124 Concept (Fall only; change Practice and Module Review)

Text:

#23 - Math 124 Concept (Spring only)

Arithmetic Sequences and Series

Proofs of some Formulas used for Arithmetic Sequences and Series

#24 - Math 124 Concept (Spring only)

Geometric Sequences and Series

Proofs of some Formulas used for Geometric Sequences and Series