Math 157 - Analysis I

Agenda: Understand calculus and its rigorous foundations.

Instructor: Dror Bar-Natan, drorbn@math.toronto.edu, Sidney Smith 5016G, 416-946-5438. Office hour: Tuesdays 3-4.

Classes: Tuesdays 10-11 and Thursdays 9-11 at University College 140.

Tutorials: Mondays at 2-4, in three groups divided by the last non-zero digit of your student number:

digit	tutor	place
1-3	Muhammad Ahsan, ahsan@math.toronto.edu, SS 4052, 8-3484	UC 144
4-6	Ching-Nam Hung, cnhung@math.toronto.edu, SS 4052, 8-3484	UC 244
7-9	Cristian Ivanescu, cristian@math.toronto.edu, SS 6027, 8-2095	UC A101

#	Week of ...
Fall Semester:
1	September 9	First week of classes - no tutorials! Handout: About This Class Handout: The 13 Postulates Homework Assignment 1 (due date postponed to September 24th at 2PM because of the missing texts). My Partial Solution of Homework Assignment 1 and Wang Ying's Solution of Homework Assignment 1. Class notes for this week: 1 2 3 4 5 6 7 8
2	September 16	Homework Assignment 2 and Wang Ying's Solution of Homework Assignment 2. Class notes for this week: 1 2 3 4 5 6 7 8 9 10
3	September 23	Handout: Visualization Homework Assignment 3 and Wang Ying's Solution of Homework Assignment 3. We took our Class Photo this week! Class notes for this week: 1 2 3 4 5 6 7 8
4	September 30	Homework Assignment 4 and Wang Ying's Solution of Homework Assignment 4. Class notes for this week: 1 2 3 4 5 6 7
5	October 7	Homework Assignment 5 and Wang Ying's Solution of Homework Assignment 5. Class notes for this week: 1 2 3 4 5 6 7 8
6	October 14	Monday is Thanksgiving. Friday October 18 is the last date to drop down to Math 133 or Math 135. Homework Assignment 6 Class notes for this week: 1 2 3 4 5 6 7
7	October 21	Sample Term Exam 1 Monday: Term Exam 1 took place in the tutorials. See the Solution of Term Exam 1. Homework Assignment 7 and Wang Ying's Solution of Homework Assignment 7. Class notes for this week: 1 2 3 4 5 6 7 8 Friday October 25 is the last date to drop down to Math 137.
8	October 28	Homework Assignment 8 and Wang Ying's Solution of Homework Assignment 8. HW8: Solutions of Just for Fun Problem (by Andrew Whitehead, Eric DeGiuli and Wang (Neo) Ying). Class notes for this week: 1 2 3 4 5 6 7 8 9
9	November 4	Homework Assignment 9 and Wang Ying's Solution of Homework Assignment 9. Class notes for this week: 1 2 3 4 5 6 7 8 9
10	November 11	Homework Assignment 10 Class notes for this week: 1 2 3 4 5 6 7 8 9
11	November 18	Handout: A Little on Convexity Homework Assignment 11 and Wang Ying's Solution of Homework Assignment 11. Class notes for this week: 1 2 3 4 5 6 7 8 9
12	November 25	Homework Assignment 12 Class notes for this week: 1 2 3 4 5 6 7 8
13	December 2	About the Second Term Exam Monday: Term Exam 2 took place in the tutorials. See the Solution of Term Exam 2. Handout: Integration Homework Assignment 12a Class notes for this week: 1 2 3 4 5 6 7 8
Winter Semester:
14	January 6	No tutorials this week! Handout: Welcome Back! Homework Assignment 14 and Travis Li's Solution of Homework Assignment 14. Class notes for this week: 1 2 3 4 5 6 7 8 9
15	January 13	Homework Assignment 15 and Wang Ying's Solution of Homework Assignment 15. Class notes for this week: 1 2 3 4 5 6 7 8 9 10
16	January 20	Homework Assignment 16 and Wang Ying's Solution of Homework Assignment 16. Class notes for this week: 1 2 3 4 5 6 7 8 9 10 11
17	January 27	Homework Assignment 17 and Wang Ying's Solution of Homework Assignment 17. Class notes for this week: 1 2 3 4 5 6 7 8 9 10
18	February 3	Homework Assignment 18 Handout: π is Irrational Class notes for this week: 1 2 3 4 5 6 7 8 9
19	February 10	Monday: Term Exam 3 took place in the tutorials. See the Solution of Term Exam 3. Homework Assignment 19 and Wang Ying's Solution of Homework Assignment 19. Class notes for this week: 1 2 3 4 5 6 7 8 9 Sunday February the 16th: Last day to drop this course!
Reading	February 17
20	February 24	Homework Assignment 20 and Wang Ying's Solution of Homework Assignment 20. Class notes for this week: 1 2 3 4 5 6 7 8 9 10 11
21	March 3	Homework Assignment 21 and Wang Ying's Solution of Homework Assignment 21. HW21: Solution of Just for Fun Problem (by Norm Townsend). Class notes for this week: 1 2 3 4 5 6
22	March 10	Homework Assignment 22 and Eric DeGiuli's Solution of Homework Assignment 22. Class notes for this week: 1 2 3 4 5 6 7 8 Handout: Series
23	March 17	This week's office hours are on Thursday 2-3PM and Friday 3-4PM. Homework Assignment 23 Class notes for this week: 1 2 3 4 5 6 7 8
24	March 24	Monday: Term Exam 4 took place in the tutorials. See the Solution of Term Exam 4. Homework Assignment 24 and Sacha Kapoor's Solution of Homework Assignment 24. Class notes for this week: 1 2 3 4 5
25	March 31	Web-only handout: What Went Wrong with Term Exam 4? Homework Assignment 25 and Sacha Kapoor's Solution of Homework Assignment 25. Class notes for this week: 1 2 3 4 5
26	April 7	No homework assignment this week! Class notes for this week: 1 2 3 4 5
Study	April 14	Sample Final Exam
Study	April 21	On Thursday April 24 and Friday April 25 I will hold extended office hours at the math aid center (SS 1071) from 3PM until 6PM or until the last student drops, whichever is the later. All graded homework assignments and term exams will be available there. Also, bring your own CD-R and burn a complete copy of this web page on it!
Final	April 28	Monday: Final Exam, 9-12 at the Ramsay Wright Zoology Labs. Students with last names beginning A-Mak at RW 110 and Mat-Z at RW 117. See the Solution of the Final Exam.

Further resources:

• Last year's Math 157 web pages: Fall, Winter.
• Undergraduate Information at the UofT Math Department. In particular, Other Math Courses.

September 24, 2002

"I loved MAT 157. It was an interesting and elightening class. It's too bad that the professor had to keep going and bringing up calculus, it really put a damper on learning if people could outrun lions, or how a six-legged roach could move when pinned down."

-- A Student.