Math 361
Fall 2009
Schedule and Homework assignments
Note: In the event that class does not meet on an exam day due to instructor illness, winter storms, etc., the exam will be held the next day that class meets.
Note: Homework assignments and due dates will be announced in class. Hopefully I will remember to update this page as the assignments are made.
| Week starting on | Class Activities | Homework Due |
| August 24 | Chapter -1 (Logic - handout) | Section -1.1: 1-11 all, Due Friday 8/28 |
| August 31 | Sections 0.1, 0.2 | Section -1.2: 12-17 all, Due Monday 8/31 Section -1.3: 18-21 all, Due Tuesday 9/1 Section 0.1a) 1, 2, 3, 5; Due Thursday 9/3 Section 0.1b) 4, 6, 7; Due Friday 9/4 |
| September 7 | (Monday - no class - Labor Day) Sections 0.2, 0.3 Friday: Exam 1 |
Section 0.1c) 10, 11, 12; Due Tuesday 9/8 Section 0.2a) 14, 15, 16, A; Due Thursday 9/10 Problem A) Prove: If f is a one-to-one function, then f-1 is also a one-to-one function. Section 0.2b) 13, 17, 18; Due Friday 9/11 (same day as Exam 1) |
| September 14 | Sections 0.3, 0.4 | Section 0.3a) 19, 20, 21; Due Thursday 9/17 Section 0.3b) 24, 26, 29; Due Friday 9/18 |
| September 21 | Sections 0.5, Chapter 1 | Section 0.4a) 30, 31, 38; Due Tuesday 9/22 Section 0.4b) 32, 33; Due Thursday 9/24 Section 0.4c) 36; Due Friday 9/25 |
| September 28 | Tuesday: Exam 2 Chapter 1 (Sequences) |
Section 0.5a) 44, 45; Due Monday 9/28 Section 0.5b) 39, 40, 41; Due Tuesday 9/29 (same day as Exam 2) |
| October 5 | Chapter 1 | Section 1.1a) 1, 4, 6b, 6d; Due Tuesday 10/6 Section 1.1b) 3, 9; Due Thursday 10/8 Section 1.2a) 15, 17; Due Friday 10/9 Section 1.2b) 21, 22; Due Thursday 10/15 (for #22, do the sup case only) Redo Assignments: Due Thursday 10/15 (up to 5 assignments from chapters -1 or 0) |
| October 12 | (Monday and Tuesday - no classes at MSUM) Chapter 1 |
Redo Assignments: Due Thursday 10/15 (also 1.2b) Section 1.3a) 25, 28; Due Friday 10/16 Section 1.3b) 26, 32; Due Monday 10/19 (For #32, do all the parts, and give short proofs using the theorems, corollaries, and previous problems. #26 does not need a proof.) |
| October 19 | Chapter 1 Tuesday: Exam 3 Chapter 2 (Limits) |
Section 1.4) 38, 40, 45, 46; Due Tuesday 10/20 (same day
as Exam 3) See also 1.4)#37. |
| October 26 | Chapter 2 | 2.1a) 2, 7; Due Monday 10/26 2.1b) 5, 9; Due Tuesday 10/27 2.2) 11, 14; Due Thursday 10/29 (#14: Prove using the epsilon-delta definition that the limit exists where it does, prove using sequences that the limit does not exist where it doesn't.) 2.3a) A, 20; Due Friday 10/30 Problem A) Prove Thm 2.4(i) using the definition of the limit of a function. 2.3b) 16, 18, 22; Due Monday 11/2 |
| November 2 | Chapter 3 (Continuity) Friday: Exam 4 |
2.4) 23; Due Tuesday 11/3 (prove using first principles,
not -f) 3.1a) 1, 9; Due Thursday 11/5 (in both problems, prove the result) 3.1b) 4, 8; Due Friday 11/6 (same day as Exam 4) (in both problems, prove the result) The exam will cover: 1.4, 2.1, 2.2, 2.3, 2.4, 3.1 |
| November 9 | Chapter 3 | Redo Assignments: Due Monday 11/9
(also 3.2a) 3.2a) 13; Due Monday 11/9 3.2b) 16, 17; Due Tuesday 11/10 (#16: Fix the typo and prove the correct result.) 3.3a) A, 19a, 19b, 22; Due Thursday 11/12 Problem A) Prove from the definition that f(x)=mx+b is uniformly continuous on R. Problem 19a) f+g, 19b) fg 3.3b) 26, 27, 28, 32; Due Monday 11/16 3.3c) 35, 37; Due Tuesday 11/17 |
| November 16 | Chapter 3 Chapter 4 (Differentiability) |
3.4) 41, 42, 44; Due Friday 11/20 4.1a) 1, 4, 3; Due Tuesday 11/24 4.1b) 6, 9; Due Monday 11/30 |
| November 23 | Chapter 4 (Thursday and Friday - no class - Thanksgiving) |
4.2a) A, 11; Due Tuesday 12/1 Problem A) Prove, from the definition of the derivative, that if f : R -> R is defined by f(x)=mx+b, then f'(x) exists for all x in R and f'(x)=m. 4.2b) 12, 14, 15; Due Thursday 12/3 |
| November 30 | Chapter 4 Friday: Exam 5 |
4.3a) 16, 19, 21, 28; Due Monday 12/7 4.3b) 20, 23, 25; Due Tuesday 12/8 4.4) TBA; Due Monday 12/14 (same day as final) |
| December 7 | Catchup/Review (Wednesday - no class - Study Day) |
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| Monday, December 14, 9:00 am | Final Exam | comprehensive, chapters -1 through 4, inclusive |