Math 19, fall 2014

Math 19 fall 2014

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

Solutions will be posted after class on the due date of each assignment.

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