LESSONS - MATH 124E
MODULE 1
Prerequisite Concepts (in 116)
Introduction to Rational Numbers
Operations on Rational Numbers
Learning Materials #1PRE
#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
Learning Materials #1 and #2PRE
#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
Learning Materials #3 and #4PRE
#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
Learning Materials #4
#4 - Math 124 Concept
Systems of Linear Equations in Three Variables
Learning Materials #5 and #6PRE
#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
Learning Materials #6 and #7PRE
#6 - Math 124 Concept
Systems of Linear Inequalities in Two Variables
#7PRE - Math 24 Concepts (Prerequisite for #7)
Text:
Video:
Interval Notation and Set-Builder Notation to express a subset of numbers
Learning Materials #7 and #8PRE
#7 - Math 124 Concepts
#8PRE - Math 24 Concepts (Prerequisite for #8)
Texts:
Videos:
Evaluate exponential expressions
Use the rules of exponents
Use the Order of Operations with exponents
Evaluate radical expressions
Perform arithmetic operations on radical expressions; 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
Transformations of Common Functions
#9PRE - Math 24 Concepts (Prerequisite for #9)
Text:
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
#10PRE - Math 24 Concepts (Prerequisite for #10)
Texts:
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
Quadratic Equations in One Variable
Learning Materials 11a and #11b
#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:
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
Learning Materials #13
#13 - Math 124 Concepts
Lesson 10PRE Review: Factoring and Complex Numbers
Finding and Using Zeros of Polynomial Functions
Learning Materials #14
#14 - Math 124 Concept
Rational Equations in One Variable
Learning Materials #15 and #16PRE
#15 - Math 124 Concept
#16PRE - Math 24 Concepts
Text:
Video:
Solve radical equations in one variable
MODULE 3
Learning Materials #16
#16 - Math 124 Concepts
Learning Materials #17
#17 - Math 124 Concept
Learning Materials #18
#18 - Math 124 Concept
Learning Materials #19
#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?
Learning Materials #20a and #20b
#20a - Math 124 Concept
Exponential Equations in One Variable
#20b - Math 124 Concept
Text:
Video:
Use the exponential growth and decay formula
Use the logistic growth formula
Use the compounded interest formulas
Learning Materials #21 and #22
#21 - Math 124 Concept
Logarithmic Equations in One Variable
#22 - Math 124 Concept
Text:
Video:
Introduction to Sequences and Series
Learning Materials #23
#23 - Math 124 Concept
Arithmetic Sequences and Series
Proofs of some Formulas used for Arithmetic Sequences and Series
Learning Materials #24
#24 - Math 124 Concept
Geometric Sequences and Series
Proofs of some Formulas used for Geometric Sequences and Series