# Math 3B Fall 2019 MW Lecture Notes

### Lecture Notes

- August 19 & 21, 2019 (5.5) Substitution Rule
- August 26, 2019 (7.1) Integration by Parts
- August 28, 2019 (7.2) Trigonometric Integrals
- August 28, 2019 (7.3) Trigonometric Substitution
- September 4, 2019 (7.4) Integration by Partial Fractions
- September 9, 2019 (7.5) Strategies of Integration
- September 9, 2019 (7.6) Integration Using Tables
- September 11, 2019 (7.7) Numerical Methods of Integration
- September 11, 2019 (7.8) Improper Integrals
- September 16, 2019 (6.1) Area Between Curves
- September 23, 2019 (6.2) Volume by Disk/Washer Method
- September 23-25, 2019 (6.3) Volume by Shell Method
- September 25, 2019 (6.4) Work
- September 30, 2019 (6.5) Average Value of a Function
- October 2, 2019 (8.1) Arc Length
- October 2, 2019 (8.2) Surface Area of Revolution
- October 7, 2019 (8.3) Physics Apps: Hydrostatic Force and Centroids
- October 9, 2019 (11.1) Infinite Sequences
- October 9 and 16,2019 (11.2) Geometric Series and Divergence Test
- October 21, 2019 (11.3) Series: Integral Test and p-series Test
- October 21, 2019 (11.4) Series: Comparison Test and Limit Comparison Test
- October 23, 2019 (11.5) Series: Alternating Series Test
- October 28, 2019 (11.6) Series: Ratio Test, Root Test, Absolute and Conditional Convergence
- October 28, 2019 (11.7) Series: Strategies for Convergence Testing
- October 28, 2019 (11.8) Power Series and Interval of Convergence
- October 30, 2019 (11.9) Representations of Functions by Power Series
- November 4&11, 2019 (11.10) Taylor and Maclaurin Series
- November 13, 2019 (9.1, 9.3, 9.5) Separable and Linear Differential Equations
- November 20, 2019 (Mixing Problems)
- November 20, 2019 (10.1) Curves Defined by Parametric Equations
- November 20&25, 2019 (10.2) Calculus with Parametric Curves
- November 25&27, 2019 (10.3) Polar Coordinates
- November 27, 2019 (10.4) Areas and Lengths in Polar Coordinates
- December 2, 2019 (Mixture Problem Example)
- December 4, 2019 (Final Exam Prep)