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Calculus II Notes

Author: John J Weber III, PhD

Contact: jweber13 at gsu.edu

 

Module 01 – Fundamental Theorem of Calculus

Module 02 – Substitution Rule

Module 03 – Integration by Parts

Module 04 – Trigonometric Integrals

Module 05 – Trigonometric Substitution

Module 06 – The Method of Partial Fractions

Module 07 – Table of Integrals

Module 08 – Integration Strategy

Module 09 – Improper Integrals

Module 10 – Areas Between Curves

Module 11 – Volumes

Module 12 – Arclength

Module 13 – Average Value of a Function

Module 14 – Applications to Physics and Engineering

Module 15 – Differential Equations

Module 16 – Polar Coordinates

Module 17 – Areas and Lengths in Polar Coordinates

Module 18 – Sequences

Module 19 – Series

Module 20 – Comparison Tests

Module 21 – Integral Test

Module 22 – Alternating Series Test

Module 23 – Additional Convergence Tests

Module 24 – Power Series

Module 25 – Taylor and Maclaurin Series

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Created: Thursday, 11 May 2023 14:54 EDT Last Modified: Friday, 09 June 2023 – 01:37 (EDT)