We will cover 3 aspects of Calculus - A. Differentiation (the first derivative and 2nd derivative), B. Anti-differentiation (areas under and between curves) and C. Differential Equations:
Infinitely many mathematicians walk into a bar...
The first says, "I'll have a beer." The second says, "I'll have half a beer." The third says, "I'll have a quarter of a beer."
The bartender pulls out just two beers.
The mathematicians ask, "That's all you're giving us?"
The bartender says, "Come on guys. Know your limits."
A. Differentiation:
The Product Rule
https://www.youtube.com/watch?v=uPCjqfT0Ixg
The Quotient Rule
Funny way to remember Quotient Rule using Hi Dee Ho
The Chain Rule
Finding Local Maximums/Minimums - Second Derivative Test
Inverse Trigonometric Functions - Derivatives
Integration Using Inverse Trigonometric Functions - Ex 1
Implicit Differentiation - Basic Idea and Examples
B. Anti-differentiation:
Technique 1- Integration using U-Substitution
Technique 2 - Integration using Linear Substitution
Technique 3a - Integration Using Trig Identities - odd powers
Technique 4 - Integration Using Partial Fractions
Volumes of Revolution - Using the Disk/Washer method Example 2
Volumes of Revolution - using the Shell method
Sketching Functions From The Graphs of Derivatives
Introduction to differential equations - verifying solutions
Solving First and Second Order Differential Equations
Solving Diff Equations using a Definite Integral
Part 1 Euler's Method of Solving Differential Equations
Part 2. Euler's Method of Solving Diff Equations
Slope Fields for Differential Equations
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