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Calculus
Online calculus video lessons to help students with the notation, theory, and problems to improve their math problem solving skills so they can find the solution to their Calculus homework and worksheets.
Limits and Continuity
- Limits: A Numerical Approach
- One-Sided Limits
- Limits: A Graphical Approach
- Infinite Limits; Vertical Asymptotes
- Continuity
- Continuous Functions
- Evaluating Limits Algebraically, Part 1
- Evaluating Limits Algebraically, Part 2
- Limits and End Behavior
The Derivative
- Average Velocity
- Average Rate of Change
- Instantaneous Velocity
- Instantaneous Rate of Change
- The Definition of the Derivative
- The Derivative Function
- Derivative Notation
- Derivatives of Linear Functions
- Derivatives of Power Functions
- Derivatives of Polynomial Functions
- An Important Limit
- Derivatives of Exponential Functions
- Derivatives of Logarithmic Functions
Techniques of Differentiation
Applications of the Derivative
- Intervals of Increase and Decrease
- Critical Points
- Relative Maxima and Minima
- The First Derivative Test for Relative Maximum and Minimum
- Concavity and Inflection Points
- The Second Derivative Test for Relative Maximum and Minimum
- Curve Sketching with Derivatives
- Optimization Using the Closed Interval Method
- Optimization Using the First Derivative Test
- Optimization Using the Second Derivative Test
- Economics: Cost & Revenue
- Economics: Marginal Cost & Revenue
- Optimization Problems: Applications to Economics
Antiderivatives and Differential Equations
- Definition of Antiderivatives
- Antidifferentiation
- Definition of Indefinite Integrals
- Indefinite Integrals
- Complicated Indefinite Integrals
- The Method of Substitution
- Simple Substitutions
- Substitutions Involving e^x or ln(x)
- Tricky Substitutions Involving Radicals
- Differential Equations
- Position, Velocity and Acceleration
- The Differential Equation Model for Exponential Growth