Math 19 is a second-semester course in calculus, geared towards students interested in physics and engineering.

- Calculus by Gilbert Strang. This will be our primary text for the course. You can purchase it from the bookstore or use it online for free.
- 10/01 Complex nth roots Notes on finding complex solutions to an equation z^n=c.
- 10/15 Differential Equations Some topics in differential equations. This document is still being updated as we cover more material (last update, 10/16).
- 11/05 Convergence tests summary
- 11/07 Taylor Approximation.
- Fourier Series by James Stewart.
- Complex Fourier Series (focuses on the case of finite Fourier series, sometimes called trigonometric polynomials)
- Fourier series and differential equations

- Problem set 1 (due F 9/12). Review of Calculus 1; integration by parts; trigonometric integrals; trigonometric substitution.
- Problem set 2 (due F 9/19). Force and energy; vectors.
- Problem set 3 (due F 9/26). Paths in two and three dimensions; polar coordinates.
- Problem set 4 (due F 10/3). Polar coordinates, complex numbers.
- Problem set 5 (due F 10/17). Linear differential equations.
- Problem set 6 (due F 10/24). Initial value problems; improper integrals; review of summation notation.
- Problem set 7 (due
**M 11/3**). Geometric series. Integral test. - Problem set 8 (due F 11/7). Convergence tests.
- Problem set 9 (due M 11/24).
- Problem set 10 (due M 12/8).