CALCULUS
Limits
Estimating Slopes of lines and Estimating Derivatives
Introduction to Limits
-illustrations and intuitive discussion of computing
limits.
Infinite Series
-flow chart for determining convergence and collection of problems
Differentiation
Related Rates
-examples of Related Rates problems
Calculus Derivatives
-collection of common differentiation formulas
Integration
Table of Indefinite Integrals
-collection of common integrals and statement of
the Fundamental Theorem
An Informal Proof of the Fundamental Theorem of Calculus
- non-rigorous, geometry-based proof of the fundamental theorem
Finding Volumes By Integration - Disk Method
-computing the volume of a solid using the Disk Method
Finding Volumes By Integration - Shell Method
-computing the volume of a solid using the Shell Method
The Volume of a Cone = 1/3 (Area of Base) (Height)
- calculus-based proof of the volume of a general cone
Riemann Sums
-using rectangles to approximate the area underneath a curve
Math Learning Center, Shoreline Community College
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