# Math 19: Calculus 2 for Physics and Engineering (Fall 2014)

A second-semester course in calculus, geared towards students interested in physics and engineering.

### Announcements

• 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 sets and solutions

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.

• 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).

### Exams and solutions

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### Student notes

Students in the class have kindly provided their notes for the following lectures.