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.
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Formula and Identity Sheets
Geometry and Trigonometry
Videos and Articles
Statistics (Math 200)
Normal Distribution
Empirical Rule
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 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
Riemann Sums
Riemann Sums Introduction
Riemann Sums Introduction - Playlist
Left Riemann Sum
Right Riemann Sum
Riemann Sum Right Endpoints #1
Riemann Sum Right Endpoints #2
Midpoint Rule
Fundamental Theorem of Calculus (FTC)
FTC Part 1 (Derivative of an Integral)
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 - 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
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