MA121 Elements of Calculus on DVD

Tom Lada

 

Lecture 1            Equations and Functions

Lecture 2            Slope and Linear Functions

Lecture 3            Other Functions

Lecture 4            Limits and Continuity

Lecture 5            Limits, Algebraically

Lecture 6            Difference Quotients

Lecture 7            Derivatives

Lecture 8            Power, Sum-Difference Rules

Lecture 9            Instantaneous Rate of Change

Lecture 10          Review

Lecture 11          Product and Quotient Rules

Lecture 12          Chain Rule

Lecture 13          Higher Order Derivatives

Lecture 14          First Derivative Test for Relative Extrema

Lecture 15          Second Derivative Test

Lecture 16          Graph Sketching

Lecture 17          Graph Sketching

Lecture 18          Absolute Max and Min

Lecture 19          Max and Min

Lecture 20         Review

Lecture 21          Exponential Functions

Lecture 22         Logarithmic Functions

Lecture 23         Exponential Growth

Lecture 24         Exponential Decay

Lecture 25         ax , Log a x

Lecture 26         Antiderivatives

Lecture 27         Area

Lecture 28         Accumulations

Lecture 29         Definite Integrals

Lecture 30         Review

Lecture 31          Integration by Substitution

Lecture 32         Consumer, Producer Surplus

Lecture 33         Continuous, Money Flow

Lecture 34         Improper Integrals

Lecture 35         Volumes

Lecture 36         Differential Equations

Lecture 37         Partial Derivatives

Lecture 38         Second Order Partial Derivatives

Lecture 39         Max-Min Problems

Lecture 40         Application to Least Squares

Lecture 41          Final Review