16200 IBL Honors Calculus Section 30

Winter 2007

Instructor	Liz Beazley
Email	townsend@math.uchicago.edu
College Fellow	Ed Wallace
Email	ewallace@math.uchicago.edu
Office Hours	Liz: Mondays 11:30 - 1:30 in MS 301; Ed: Wednesdays 4:00 - 6:00 in MS 201
Problem Session	Mondays 5:00 - 6:00 in Ryerson 358
Class Meetings	TTh 10:30 - 11:50 in Ryerson 358
Text	A work in progress!
Exams	Final Exam on Thursday, March 15

General Policy: The plan of the course is to joyfully watch as you learn math yourself. There will be weekly homework, which is usually to be handed in on Tuesdays and given back on Thursdays. You are strongly encouraged to work on the journal and homework in groups, but the writing up must be done individually. In addition, you are not permitted to learn proofs from texts, notes, or any other resources apart from your peers and instructors in this course. The primary purpose of the course is that you develop mathematical independence and learn how to come up with proofs, in addition to writing, critiquing, and understanding them. You are not expected to be able to solve everything on your own, which is why the in-class presentations are imperative. If you receive help from or work with another individual in this class, you must cite it. Resist the temptation to spoil your own learning experience by violating these principles! For more detailed remarks related to cheating and dishonesty in this course, refer to the following essay on Honest Work in IBL.

Course Grading:

Homework and midterm journals: 33%
Class participation: 33%
Final exam and final journal: 33%
Finding a mathematical mistake in the text: 1% (once)

Class Participation: There are many ways to successfully participate in class. The most important way is to present proofs in class. Good proofs are better than ones that require polishing, but mediocre proofs are better than none at all. In addition, making comments, suggestions, or corrections to a proof is extremely important to the success of the class. You can also ask questions if you don't understand a proof or something in the text. In addition, this quarter we will one have 5-minute presentation each class meeting. Click here to see the schedule.

Material:

Sheet 8: More Topology on R (TeX)
Sheet 9: Ordered Fields (TeX)
Sheet 10: Sequences of Real Numbers (TeX)
Sheet 11: Cauchy Sequences (TeX)
Sheet 12: Series (TeX)
Sheet 13: Continuous Functions (TeX)
Sheet 14: Uniform Continuity and Convergence (TeX)

Homework:

From last quarter: HW Sheet 5: The Real Numbers (TeX)
Due Tuesday, January 9: HW Sheet 6: Arithmetic on the Real Numbers (TeX)
Due Tuesday, January 16: HW Sheet 7: Cardinal Numbers (TeX)
Due Tuesday, January 23: HW Sheet 8: Lots of Examples (TeX)
Due Tuesday, January 30: HW Sheet 9: More Sequences (TeX)
Due Tuesday, February 6: Midterm Journals! Include everything from Sheets 8, 9, and 10, everything through Theorem 6 on Sheet 11, and Homework Sheets 5 and 6 on the real numbers.
Due Tuesday, February 13: HW Sheet 10: Some Less Intuitive Sequences (TeX). Click here to read the scanned version of Doing Honest Work in College.
Due Tuesday, February 20: HW Sheet 11: Fun in the Dirt with Series (TeX). Click here to read the scanned version of Theorem 9.13 from Spivak.
Due Tuesday, February 27: HW Sheet 12: The Cantor Set (TeX)
Due Tuesday, March 6: HW Sheet 13: Examples of Functions (TeX)
Due Monday, March 12 at 5:00pm in Liz's office: FINAL JOURNALS! Include everything from in-class Sheets 8 through 14, except Theorem 9.13. Note that you do not have to include any homework sheets in your final journals.

Link to Fall 2006 course materials.