# Math 16300, Section 21, Spring 2017

# Math 16300, Section 21, Spring 2017

This is the third of three courses that make up the first-year honors calculus sequence.

**Instructor:** Jack Shotton, Eckhart 333, [email protected].

**Texts:**

- Michael Spivak, Calculus, ISBN 978-0914098911, chapters 24–27.
- Michael Spivak, Calculus on Manifolds, ISBN 978-0805390216, chapters 1–3.

**Lectures:** MWF Ryerson 358, 9:30-10:20.

**Problem sessions:** Fridays 15:00-16:00, Ryerson 358.

**Office hours:** Wednesdays 17:00-18:00, Thursdays 17:00-18:00 or by appointment.

**Important dates:**

- Final exam: Wednesday 7th June, 10:30-12:30.
- Midterm 1: Friday 21st April
- Midterm 2: Friday 19th May

**General policy:** There will be two in-class hour tests (midterms) and a final exam, as well as weekly homework. You should feel free (encouraged!) to work on homework together, but writeups must be independent. The material for the hour-tests will be theorems, definitions and proofs that I did in class, any assigned reading, and questions similar to those on the homework sheets. For the determination of the final grade, the weighting will be: 50% on the final, 20% on each hour test, and 10% on the homework. Late homework will receive a grade of zero no matter what the reason, but the two lowest scoring homeworks for each student will be discarded.

It is the policy of the Department of Mathematics that the following rules apply to final exams in all undergraduate mathematics courses:

- The final exam must occur at the time and place designated on the College Final Exam Schedule. In particular, no final examinations may be given during the tenth week of the quarter, except in the case of graduating seniors.
- Instructors are not permitted to excuse students from the scheduled time of the final exam except in the case of an incomplete.

**Homework:** This will be posted weekly, and due each Monday at noon in the pigeonhole in Eckhart basement (or in class).

**Readers:** Jin Woo Sung, [email protected]

## Homework

Week 1 due 4/3.

Week 2 due 4/10.

Week 3 due 4/17.

Week 4 due 5/1.

Week 5 due 5/8.

Week 6 due 5/15.

Week 7 due 5/26.

Week 8 due 5/31.

Problem numbers from week 4 on refer to Spivak, Calculus on Manifolds. Note that for some multi-part problems you will want to use, say, the result of part (ii) to prove part (vii); in that case, you should include a solution of part (ii) in your write-up even if the homework only asks for part (vii). You should feel free to use results from class (but state what you are using), unless the question says something like `prove from the definition that…’ in which case you have to work straight from the definition.

## Exams

Midterm 1 sat 4/21. The median score was 17/30. Solutions.

Midterm 2 sat 5/19. The median score was 24/40. Solutions.

Final sat 6/7. The median score was 61/120. Solutions.

## Resources

Polynomials over the complexes.

Practice problems for first midterm.

Chain rule proof.

Practice problems for second midterm.

Basic properties of integrals and their proofs.

Practice final.