# Math 3B Fall 2019 TuTh Lecture Notes

### Lecture Notes

- August 20 & 22, 2019 (5.5) Substitution Rule
- August 27, 2019 (7.1) Integration by Parts
- August 29, 2019 (7.2) Trigonometric Integrals
- August 29, 2019 (7.3) Trigonometric Substitution
- September 3, 2019 (7.4) Integration by Partial Fractions
- September 5, 2019 (7.5) Strategies of Integration
- September 5, 2019 (7.6) Integration using Tables
- September 10, 2019 (7.7) Numerical Methods of Integration
- September 10, 2019 (7.8) Improper Integrals
- September 12, 2019 (6.1) Areas Between Curves
- September 24, 2019 (6.2) Volume by Disk/Washer Method
- September 24, 2019 (6.3) Volume by Shell Method
- September 26, 2019 (6.4) Work
- October 1, 2019 (6.5) Average Value of a Function
- October 1, 2019 (8.1) Arc Length
- October 3, 2019 (8.2) Surface Area of Revolution
- October 3 & 7, 2019 (8.3) Phsyics Apps: Hydrostatic Force and Centroids
- October 10, 2019 (11.1) Infinite Sequences
- October 17, 2019 (11.2) Series: Geometric Series and Divergence Test
- October 29, 2019 (11.3) Series: Integral Test and p-series Test
- October 29, 2019 (11.4) Series: Comparison and Limit Compartison Tests
- October 29&31, 2019 (11.5) Series: Alternating Series Test
- October 31, 2019 (11.6) Series: Ratio Test, Root Test, and Absolute and Conditional Convergence
- October 31, 2019 (11.7) Series: Strategies for Convergence Testing
- November 5, 2019 (11.8) Power Series and Interval of Convergence
- November 5, 2019 (11.9) Representation of Functions by Power Series
- November 12&14, 2019 (11.10) Taylor and Macluarin Series
- November 19, 21, 2019 (9.1, 9.3): Separable Differential Equations
- November 21, 2019 (9.5 Linear Differential Equations)
- November 21, 2019 (9.3 Mixture Problems)
- November 26, 2019 (10.1) Curves Defined by Parametric Equations
- November 26, 2019 (10.2) Calculus with Parametric Curves
- December 3, 2019 (10.3) Polar Coordinates
- December 3, 2019 (10.4) Areas and Lengths in Polar Coordinates
- December 5, 2019 (Ch 9&10 Quiz Prep)