# Math 1B, Spring 2020

This is the homepage for Spring 2020 Math 1B discussion sessions 209 and 219.

**GSI:** Kyle Miller

**E-mail:** kmill at math.berkeley.edu

**Meeting times:** MWF 10–11am (Disc 209) and 3–4pm (Disc 219) over Zoom

**Office hours:** 2–3pm MW over Zoom, or by appointment

**See also:** Discussion bCourses
and Prof. Paulin’s website

The math department publishes a rough course overview. There is also a collection of some past exams.

## Information

**Syllabus:**
See Prof. Paulin’s website.

## Worksheets

- 1/27/2020 — Integration by parts (some solutions)
- 1/29/2020 — Integration of rational functions
- 1/31/2020 — Trigonometric integrals
- 2/03/2020 — Trigonometric substitution
- 2/05/2020 — Strategies for integration
- 2/07/2020 — Approximate integration
- 2/10/2020 — Improper integrals
- 2/21/2020 — Comparison theorems, arc length
- 2/24/2020 — Sequences
- 2/26/2020 — Series
- 2/28/2020 — The integral test
- 3/02/2020 — Comparison tests
- 3/04/2020 — Alternating series
- 3/06/2020 — Absolute convergence; ratio and root tests
- 3/09/2020 — Strategies for series testing
- 3/11/2020 — Power series (solutions)
- 3/13/2020 — Power series representations (10am, 3pm)
- 3/16/2020 — Some worksheets with solutions (A) (B). Notes: 10am 3pm
- 3/18/2020 — Notes: 10am
- 3/30/2020 — Modeling with differential equations (solutions)
- 4/01/2020 —
*same worksheet* - 4/03/2020 — Direction fields (solutions)
- 4/06/2020 — Separable equations (solutions)
- 4/08/2020 — Models for population growth (solutions)
- 4/10/2020 — Linear equations (solutions). Notes: 10am 3pm
- 4/13/2020 — Complex numbers. Notes: 10am 3pm
- 4/15/2020 —
*same worksheet*. Notes: 10am 3pm - 4/17/2020 — Second order linear differential equations. Notes: 10am 3pm
- 4/20/2020 —
*same worksheet*. Notes: 10am 3pm; Spring cart toy - 4/22/2020 — Second-order non-homogeneous linear equations. Notes: 10am 3pm
- 4/24/2020 —
*same worksheet*. Notes: 10am 3pm - 4/27/2020 — Series solutions. Notes: 10am 3pm
- 4/29/2020 —
*same worksheet*. Notes: 10am 3pm - 5/01/2020 —
*same worksheet*. Notes: 10am 3pm

In case you want more, the department publishes additional worksheets on the Lower Division Course Outlines page: Math 1B Worksheet (pdf).

## Quizzes

- 1/31/2020 — Quiz 1 (solutions).
- 2/07/2020 — Quiz 2 (solutions).
- 2/14/2020 — Quiz 3 (solutions).
- 3/06/2020 — Quiz 4 (solutions).
- 3/13/2020 — Quiz 5 (solutions).
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## Notes

These are some additional notes that I’ve sent out.