Math 16100, Section 21, Autumn 2016

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

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

Text: Michael Spivak, Calculus, ISBN 978-0914098911. For this quarter, chapters 1-12.

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

Problem sessions: Fridays 17:00-18:00, Eckhart 312.

Office hours: Mondays, Wednesdays 17:00-18:00, Tuesdays 15:30-16:30, or by appointment.

Important dates:

Final exam: Friday 9th December, 10:30-12:30.
Midterm 1: Monday 17th October
Midterm 2: Monday 7th November

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 Wednesday at noon in the pigeonhole in Eckhart basement (or in class).

Reader: Jin Woo Sung, [email protected].

Homework

Week 1 due 5/10.
Week 2 due 12/10.
Week 3 due Friday 21/10.
Week 4 due Friday 28/10.
Week 5 due Wednesday 2/11.
Week 6 due Friday 11/11.
Week 7 due Friday 18/11.
Week 8 due Wednesday 23/11.
Week 9 due Wednesday 30/11.
All problem numbers refer to Spivak, 4th edition, unless otherwise stated. Be careful, as the 3rd edition numbers sometimes differ! 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 was sat on October 17th. The median score was 21.5/40.
Midterm 2 was sat on November 7th. The median score was 20.5/40.

Resources

Axioms for the reals.
Proof that polynomials of odd degree have a root.
Note on the well ordering principle.
Review quiz and solutions.