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.

Calculus 1 (Math 251)

Epsilon-Delta Definition of the Limit

Precise Definition of the Limit Playlist

 

Riemann Sums

Riemann Sums Introduction

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

 

Calculus 1 and 2 (251 and 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 (252)

Area Between Curves

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

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

 

Variety of Integral Applications

Variety of Integral Applications

Work

Multiple Types of Work

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 (275)

Autonomous Equations

Autonomous Equations Equilibrium Solutions and Stability