Math Course Resources

Resources and Information to Help with Math Courses

Here you'll find resources for a variety of math courses, from algebra up to differential equations.

Formula and Identity Sheets

Videos and Articles

Statistics (Math 200)

Normal Distribution

Empirical Rule

Using the Empirical Rule #1

 

Precalculus/Path to Calculus (Math 225)

Polynomials

Multiplicity of Polynomials

Zeros and Multiplicity - Article

Multiplicity of Polynomials - Playlist and Practice Problems

Graphing Polynomials

Graphing Polynomials Using End Behavior, Multiplicity, and Zeros #1

Graphing Polynomials Using End Behavior, Multiplicity, and Zeros #2

 

Piecewise Functions

Evaluating Piecewise Functions

Evaluating Piecewise Functions

Graphing Piecewise Functions

Graphing Piecewise Functions

Graphing Piecewise Function (includes limit notation)

 

Calculus 1 (Math 251)

Limits

Epsilon-Delta Definition of the Limit

Precise Definition of the Limit - Playlist

Continuity of Functions

Continuity Introduction (and Making Piecewise Functions Continuous) 

Piecewise Continuity Examples (and Making Piecewise Functions Continuous)

Piecewise Continuity Using 3 Step Continuity Test

Piecewise Continuity Using Definition

Making Piecewise Functions Continuous

 

Derivatives

Introductory Derivative Applications

One Dimensional Motion - Playlist and Practice Problems

 

Related Rates

Introduction to Related Rates

Introduction to Related Rates - Playlist and Practice Problems

Introduction and Simple Related Rates #1

Introduction and Simple Related Rates #2

Multiple Types of Related Rates

Variety of Related Rates Applications - Playlist and Practice Problems

Variety of Related Rates Applications #1

Variety of Related Rates Applications #2

 

Extrema of Functions

Relative Extrema (Local Max and Min) and First Derivative Test

Relative Extrema Introduction - Playlist and Practice Problems

Absolute Extrema (Absolute Max and Min) and Extreme Value Theorem

Absolute Extrema Introduction - Playlist and Practice Problems

 

Optimization

Multiple Types of Optimization

Variety of Optimization Applications

Optimization and Introducing the Second Derivative Test

Optimization Using Second Derivative Test Introduction

Optimization Using Second Derivative Test #1

Optimization Using Second Derivative Test #2

Optimization - Playlist and Practice Problems

Optimizing Time Traveled

Minimizing Time Traveled

 

Riemann Sums

Riemann Sums Introduction

Riemann Sums Introduction - Playlist

Left Riemann Sum 

Riemann Sum Left Endpoints #1

Riemann Sum Left Endpoints #2

Right Riemann Sum

Riemann Sum Right Endpoints #1

Riemann Sum Right Endpoints #2

Midpoint Rule

Riemann Sum Midpoints #1

Riemann Sum Midpoints #2

 

Fundamental Theorem of Calculus (FTC)

FTC Part 1 (Derivative of an Integral)

FTC Part 1 Intro

FTC Part 1 Without Chain Rule

FTC Part 1 With Chain Rule

FTC Part 1 Mixed Problems

FTC Part 1 With Variable Upper and Lower Bounds #1

FTC Part 1 With Variable Upper and Lower Bounds #2

 

Net Change Theorem

Displacement and Total Distance Traveled

Displacement and Total Distance Traveled - Playlist and Practice Problems

Displacement and Total Distance Traveled - Quadratic Equation Example

Total Distance Traveled - Linear Function Example

 

Calculus 1 and 2 (Math 251 and Math 252)

U-Substitution (U-Sub)

Multiple U-Sub Situations - Playlist

U-Sub Without Rearranging Substitution

U-Sub With Rearranging Substitution

U-Sub With and Without Rearranging Substitution

 

Calculus 2 (Math 252)

Area Between Curves

Single Integral

Areas Along x-axis (Integrate Along x)

Areas Along the x-axis (Integrate Along x) - Playlist

Areas Along the y-axis (Integrate Along y) - Playlist

Areas Along Both x and y axes #1

Areas Along Both x and y axes #2

Multiple Integrals (Composite Area)

Splitting Area Into Two Integrals (Composite Area)

 

Volumes of Revolution

Washers About an Axis

Rotating About x-axis

Rotating About x-axis - Playlist

Rotating About x and y Axes #1

Rotating About x and y Axes #2

Rotating About x and y axes and Shifted Rotation Axes

Washers About a Shifted Axis

Rotation About Shifted Lines/Axes - Both x and y

Shells About an Axis

Shells Rotating About y-axis (Integrate x)

Shells Rotating About x and y Axes, and Shifted Rotation Axis

 

Work

Multiple Types of Work

Variety of Integral Applications

Work Lecture and Examples #1

Work Lecture and Examples #2

Springs

Calculating Work to Pull Springs

Ropes

Calculating Work to Lift Ropes

Pumping Water Out of Containers

Work to Pump Liquid Out of a Variety of Tanks - blackpenredpen

Work to Pump Liquid Out of a Variety of Tanks - Quoc Dat Phung

 

Differential Equations (Math 275)

Autonomous Equations

Equilibrium and Stability

Autonomous Equations Equilibrium Solutions and Stability