The Fundamental Theorem of Calculus, Part 1
httpv://www.youtube.com/watch?v=PGmVvIglZx8
The Fundamental Theorem of Calculus, Part 2
httpv://www.youtube.com/watch?v=nHnZVFeQvNQ
Category Archives: Calculus
Stewart – Calculus – 5.1 / 5.2 – Areas and Distances / The Definite Integral
Approximating Area Using Rectangles
httpv://youtu.be/vqSPGeYO2UA
The Definite Integral
httpv://youtu.be/ODwkTt0RMDg
Calculating a Definite Integral Using Riemann Sums — Part 1
httpv://youtu.be/gFpHHTxsDkI
Calculating a Definite Integral Using Riemann Sums — Part 2
httpv://youtu.be/GE4OLfmJ8P8
Three equations that give formulas for sums of powers of positive integers:
These formulas are simple rules for working with sigma notation:
Use the form of the definition of the integral
to evaluate the integral.
Stewart – Calculus – 4.8 – Newton’s Method
httpv://www.youtube.com/watch?v=1uN8cBGVpfs
Stewart – Calculus – 4.5 – Summary of Curve Sketching
Mnemonic Device for Remembering Steps in Curve Sketching
A. Domain
B. Intercepts
C. Symmetry
D. Asymptotes
E. Decrease or Increase
F. Local Maximum and Minimum
G. Concavity and Points of Inflection
Dill Chips
“This is a dill chip.”
Now, think of this phrase as, “Dis a dill chip.”
This phrase is close to, “DISADILCIP.”
Use the first letters to reconstruct the steps: Domain, Intercepts, Symmetry, Asymptotes, Decrease/Increase (intervals), Local max/min, Concavity, Inflection Point.
(If you think of something better, please, share it.)
Stewart – Calculus – 4.3 – How Derivatives Affect the Shape of a Graph
Stewart – Calculus – 4.2 – The Mean Value Theorem
httpv://www.youtube.com/watch?v=xYOrYLq3fE0
Stewart – Calculus – 4.1 – Maximum and Minimum Values
Stewart – Calculus – 3.11 – Hyperbolic Functions
Stewart – Calculus – 3.9 – Related Rates
httpv://www.youtube.com/watch?v=sRIDVAcoG5A&NR=1
Credit for the following PDF goes to Stephen Taylor of Bucks County Community College:
Stewart – Calculus – 3.6 – Derivatives of Logarithmic Functions
httpv://www.youtube.com/watch?v=0YH8BrlVTqk