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Division of
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Mathematics
Course Resources
MATH 1630 - Finite Mathematics
Podcasts
Resource List by Course Content
The resources listed on this page are meant only as general instruction materials. Students are expected to contact their instructors regarding the specific requirements for their classes.
*All video resources below link to Khan Academy unless otherwise noted
Chapter 1 – Linear Equations and Functions
1.1 Solution of Linear Equations and Inequalities in One Variable
- Evaluate a formula using substitution
- Algebra: Linear Equations 2 : solving equations of the form AX+B=C
- Equations 2: slightly more complicated equations
- Solving Equations 1
- Two-Step Equations
- Solving Equations 2
- Equations with Variables on Both Sides
- Multi-step equations 1
- Multi-step equations 2
- Solving Equations with the Distributive Property
- Solving equations with the distributive property 2
- Algebra: Linear Equations 3
- Algebra: Linear Equations 4: Solving linear equations with variable expressions in the denominator
- Equation Special Cases
- Averages: Introduction to averages and algebra problems involving averages.
- Interpreting Inequalities (concept no example)
- One-Step Inequalities
- One-Step Inequalities 2
- Inequalities Using Addition and Subtraction
- Inequalities Using Multiplication and Division
- Inequalities on a number line -- Kahn Academy
- Equations and Inequalities
- Solving Inequalities
- Writing and using inequalities 2
- Writing and using inequalities 3
- Writing and using inequalities 3
- Multi-Step Inequalities
- Multi-Step Inequalities 2
- Inequalities -- word problems
- Applying the Metric System
- Rational Equations
- Solving Rational Equations 1
- Solving Rational Equations 2
1.2 Functions
- Introduction to functions
- Functional Relationships 1
- Testing if a relationship is a function
- Functions Part 2
- Functions (Part III)
- Functions (part 4)
- Graphing a Basic Function
- Domain of a function
- Relations and Functions
- Graphical Relations and Functions
- Domain and Range of a Function
- Domain and Range 1
- Domain and Range 2
- Domain and Range of a Relation
- Domain and Range of a Function Given a Formula
- Domain of a Radical Function
- Evaluating Functions
- Sum of Functions
- Difference of Functions
- Product of Functions
- Quotient of Functions
- A more formal understanding of functions
- Linear Function Graphs
1.3 Linear Functions
- X and Y intercepts
- X and Y intercepts 2
- Slope of a line
- Slope Example
- Slope and Rate of Change
- Slope and Y-intercept Intuition
- Algebra: Slope: Figuring out the slope of a line
- Algebra: Slope 2: Second part of determining the slope of a line
- Algebra: Slope 3: Part 3 of slope (continuation of part 2)
- Graphical Slope of a Line
- Slope of a Line 2
- Slope of a Line 3
- Graphing a line in slope intercept form
- Algebra: Slope and Y-intercept intuition
- Algebra: Equation of a line: Determining the equation of a line
- CA Algebra I: Slope and Y-intercept
- Graphing Using Intercepts
- Graphing using X and Y intercepts
- Algebra: graphing lines 1: Graphing linear equations
- Graphs Using Slope-Intercept Form
- Linear Equations in Slope Intercept Form
- Linear Equations in Point Slope Form
- Equation of a line 1
- Equation of a line 2
- Equation of a Line hairier example
- Equation of a line 3
- Linear Equations in Standard Form
- Converting to slope-intercept form
- Point-slope and standard form
- Parallel Lines
- Parallel Lines 2
- Parallel lines 3
- Perpendicular Lines
- Perpendicular lines 2
- Parallel Line Equation
- Word Problem Solving 4
- Equations of Parallel and Perpendicular Lines
1.4 Graphs and Graphing Utilities
1.6 Applications of Linear Functions in Business and Economics
- Interpreting Linear Graphs
-
Patterns and Equations
(a video on general word problems)
Chapter 2 – Quadratics and Special Functions
2.1 Quadratic Equations
- Factoring Special Products
- Solving a quadratic by factoring
- Solving Quadratic Equations by Factoring
- Solving Quadratic Equations by Factoring 2
- Solving Quadratic Equations by Factoring 3
- Quadratic Equation part 2
- Quadratic Formula 1
- Quadratic Formula 2
- Quadratic Formula 3
- Quadratic Equations in Standard Form
- Simple Quadratic Equation
- Applying the Quadratic Formula
- Solving Rational Equations 3
- Extraneous Solutions to Rational Equations
- Application Problem with Quadratic Formula
- Discriminant for Types of Solutions for a Quadratic
- Discriminant of Quadratic Equations
2.2 Quadratic Functions; Parabolas
- Graphing a Quadratic Function
- Introduction to the quadratic equation
- Quadratic Functions 1
- Quadratic Functions 2
- Quadratic Functions 3
- Applying Quadratic Functions 1
- Applying Quadratic Functions 2
- Graphing a Quadratic Function
2.3 Business Applications of Quadratic Functions
2.4 Special Functions and Their Graphs
2.5 Modeling: Fitting Curves to Data with Graphing Utilities
Chapter 1- Linear Equations and Functions
1.5 Solutions of Systems of Linear Equations
- Testing a solution for a system of equations
- Systems of equations
- Problem Solving Word Problems 2
- Solving Linear Systems by Graphing
- Solving systems by graphing
- Solving systems by graphing 2
- Solving systems by graphing 3
- Consistent and Inconsistent Systems
- Independent and Dependent Systems
- Solving systems by substitution 1
- Solving systems by substitution 2
- Solving systems by substitution 3
- Solving Linear Systems by Substitution
- Solving systems by elimination
- Solving systems by elimination 2
- Solving systems by elimination 3
- Solving Systems of Equations by Elimination
- Solving Systems of Equations by Multiplication
- Special Types of Linear Systems
- Systems and rate problems
- Systems and rate problems 2
- Systems and rate problems 3
- Mixture problems 1
- Mixture problems 2
- Mixture problems 3
- Graphing Systems of Equations
- Graphical Systems Application Problem
- The Substitution Method
- Substitution Method 2
- Substitution Method 3
- Addition Elimination Method 1
- Addition Elimination Method 2
- Addition Elimination Method 3
- Addition Elimination Method 4
Chapter 3 – Matrices
3.1 Matrices
3.2 Multiplication of Matrices
3.3 Gauss-Jordan Elimination: Solving Systems of Equations
-
Gauss-Jordan Elimination with a 2x2 matrix
YouTube - Matrices: Reduced Row Echelon Form 1
- Matrices: Reduced Row Echelon Form 2
- Matrices: Reduced Row Echelon Form 3
3.4 Inverse of a Square Matrix; Matrix Equations
Chapter 4 – Inequalities and Linear Programming
4.1 Linear Inequalities in Two Variables
-
Graphing Linear Inequalities Part 1
YouTube - Solving and graphing linear inequalities in two variables 1
- Graphing linear inequalities in two variables 2
- Graphing Linear Inequalities in Two Variables Example 2
-
Graphing Linear Inequalities in Two Variables Example 2 --
(same problem as 2, different explanation) - Graphing linear inequalities in two variables 3
- CA Algebra I: Graphing Inequalities
- Graphing Inequalities
- Graphing Inequalities 1
- Graphing Inequalities 2
- Graphing systems of inequalities
- Graphing Systems of Inequalities
- Graphing systems of inequalities 2
- Graphing systems of inequalities 3 (with calculator)
- CA Algebra I: Systems of Inequalities
- Graphical System of Inequalities
- Testing Solutions for a System of Inequalities
- System of Inequalities Application
4.2 Linear Programming: Graphical Methods
-
Linear Programming -- patrickJMT
YouTube
4.3 The Simplex Method: Maximization
-
Simplex Method - Finding a Maximum Word Problem Example, Part 1 of 5 -- patrickJMT
YouTube -
Simplex Method - Finding a Maximum Word Problem Example, Part 2 of 5 - patrickJMT
YouTube -
Simplex Method - Finding a Maximum Word Problem Example, Part 3 of 5 -- patrickJMT
YouTube
(note about video part 3 – Some of our faculty do ask you to find the pivot elements, but none of our faculty ask you to solve the Simplex by hand at this point you would put it into the calculator and get the final tableau. So only watch until 2:07) -
Simplex Method - Finding a Maximum Word Problem Example, Part 5 of 5 -- patrickJMT
YouTube
Chapter 5 – Exponential and Logarithmic Functions
Review of Exponents: for those that have forgotten your exponents here is a set of videos to watch as a review:
- Exponent Rules 1
- Exponent Rules 2
- Level 1 Exponents
- Level 2 Exponents: negative exponents
- Negative Exponent Intuition: Intuition on why a^-b = 1/(a^b) (and why a^0 =1)
- Zero, Negative, and Fractional Exponents
- Level 3 exponents : fractional exponents
- Exponent Rules Part 1 : Introduction to exponent rules
- Exponent Rules Part 2
- Exponent Properties 1
- Exponent Properties 2
- Exponent Properties 3
- Exponent Properties 4
- Exponent Properties 5
- Exponent Properties 6
- Exponent Properties 7
- Exponent Properties Involving Products
- Negative and Positive Exponents
- Exponent Properties Involving Quotients
- Rational Exponents and Exponent Laws
- More Rational Exponents and Exponent Laws
- Simplifying Expressions with Exponents
- Simplifying Expressions with Exponents 3
- Fractional Exponent Expressions 1
5.1 Exponential Functions
5.2 Logarithmic Functions and Their Properties
- Introduction to Logarithms
- Logarithm of a Power
- Sum of Logarithms with Same Base
- Introduction to logarithm properties
- Introduction to logarithm properties (part 2)
- Change of Base Formula
- Logarithmic Equations
- Solving Logarithmic Equations
- Proof: log a + log b = log ab
- Proof: log_a (B) = (log_x (B))/(log_x (A))
- Proof: A(log B) = log (B^A), log A - log B = log (A/B)
- Natural Logarithm with a Calculator
- Calculator for Natural Logarithms
- Graphing Natural Logarithm Function
