Proving Things: Analysis
Faculty: Jerry L. Kazdan
Telephone: (215) 898-5109
email: kazdan AT math . upenn . edu
Office Hours: Wed. 10:30-11:30
(and by appointment) in DRL 4E15
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TA: Eugene So, DRL 4C15
email: soeugene AT math . upenn . edu
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Text: D'Angelo & West,
Mathematical Thinking: Problem-Solving and Proofs, second
edition, Prentice-Hall.
This course is about thinking, attempting to understand. It it for
students who enjoy thinking hard, even when completely stumped. Then
understanding (when it comes) is all the sweeter.
Intuition and computational skill will be
essential in the discovery and presentation of your ideas.
The concept of a proof will be vital. There is nothing
exotic about a proof. It is simply convincing someone else about your
reasoning. You give different proofs to different people, depending on
their background — and how well you know them.
Some References.
Problems to think about during August.
Example using Maple
Formula for: sin x + sin 2x +...+
sin nx = ...
Homework
- Homework Set 1: Due in class on
Thurs. Sept. 17 (late papers accepted until Friday at 1:00).
- Homework Set 2: Due in class on
Thurs. Sept. 25 (late papers accepted until Friday at 1:00).
- Homework Set 3: Due in class on
Thurs. Oct. 1 (late papers accepted until Friday at 1:00).
- Homework Set 4: Due in class on
Thurs. Oct. 8 (late papers accepted until Friday at 1:00).
- Homework Set 5: Due in class on
Thurs. Oct. 15 (late papers accepted until Friday at 1:00).
- Homework Set 6: Due in class on
Thurs. Oct. 29 (late papers accepted until Friday at 1:00).
- Homework Set 7: Due in class on
Thurs. Nov. 5 (late papers accepted until Friday at 1:00).
- Homework Set 8: Due in class on
Thurs. Nov. 12 (late papers accepted until Friday at 1:00).
- Homework Set 9: Due in class on
Thurs. Nov. 19 (late papers accepted until Friday at 1:00).
- Homework Set 10: Due in class on
Tuesday. Dec. 1 (late papers accepted until Wednesday at 1:00).
Exams: One 3"×5" card with notes on both sides is
allowed; no calculators.
Exam 1
Exam 2
[Exam 2: solutions]
No Final Exam.