MATH 251-510/511, fall 2007

Course information

Course news

Last minute Q&A session
We will have a last Q&A session on Tuesday 11th Dec at 3pm in Blocker 627 (right next to my office). Please come on time: I will not go through the same problems twice. You may leave the session at any time.
10 Dec 2007
Review session
We will have a review session on Wednesday 5th Dec at 2pm in Blocker 150. Please come on time: I will not go through the same problems twice. You may leave the session at any time.
1 Dec 2007
Suggested review exercises for chapters 11 and 14
From pp. 715-716 (Chapter 11): 1-14, 15-17, 31-32, 35-36, 38-39, 43-62
From pp. 939-940 (Chapter 14): 9-11, 15, 19-20, 24-25, 35-44
Review exercises for other chapters were suggested below
1 Dec 2007
Homework 10 (suggested)
14.3
13, 20
14.4
4, 14, 20
14.5
7, 12, 17, 44
14.6
3, 7
14.7
3, 9, 18, 19, 31
14.8
1, 3, 7, 9
14.9
3, 5, 9
This homework will not be collected
1 Dec 2007
Homework 9
14.1
3, 6, 24
14.2
8, 9, 19, 40
Submit the homework before the lecture on Tuesday, November 27th
24 Nov 2007
No office hours the week of Thanksgiving
The lecture on Tuesday will convene as usual and we will start on a very hard last chapter.
17 November 2007
Suggested review exercises for exam 3
From pp.863-865: 1-5, 13, 14, 15-16, 17-30, 31-36, 37, 41, 43, 44, odd ones in 45-52, 53, 55, 56, 57, 58-61, 62-64, 65, 67, 68, 73, 75, 76, 77
When short on time, do the harder ones among the similar problems (e.g. out of 17-30 do 22, 23, 27, 29).
11 November 2007
Pre-Exam 3 bonus question
Here is a bonus question for 10% on your exam 3 score. Grading will be strict to brutal. Submit before the exam on Thursday 15th.
9 November 2007
Exam 3 date change!!!
We will move exam 3 to Thursday, 15th November. The exam will cover Chapter 13.
If you have 2 or more exams that day, please email me and I will arrange a make-up for you that week only. Please specify the reason for the make-up request.
7 November 2007
Homework 8
13.9
3, 9, 15, 21, 41, 43, 55
13.10
13, 17, 20, 30
13.11
11, 18, 20, bonus +10%: 23
Submit the homework before the lecture on Tuesday, November 13th
7 Nov 2007
Homework 7
13.6
16
13.7
6
13.8
12, 19, 34
Submit the homework before the lecture on Tuesday, November 6th
1 Nov 2007
Homework 6
13.3
3, 5, 9, 11, 17, 33, 35, 37, 39, 41, 45
13.4
3, 13, 15, 20, 28, 35, 44
13.5
1, 3, 7, 19, 25
Bonus (+10% each)
13.5.24, 13.5.28, 13.5.32
There is a small change to the homework announced in class: question 13.5.28 becomes a bonus question
Submit the homework before the lecture on Tuesday, October 30th
29 Oct 2007
Homework 5
13.1
1
13.2
5, 9, 13, 21, 22, 29
Submit the homework before the lecture on Tuesday, October 23rd
21 Oct 2007
Suggested review exercises (amendment: 22 instead of 21)
From pp.790-791: 1-12, 14, 22, 36, 44, 48, 53, 54, 56, 60, 63, 73
9 October 2007
Pre-Exam 2 bonus question
Here is a bonus question. It has two parts up to a maximum of 15% bonus! Quite rich, but the grading will be strict. Submit before the exam on Thursday 11th.
9 October 2007
Homework 4
12.3
6, 7, 10, 28, 50, 52, 54, 56, 69, 76, 86
12.4
4, 12, 14, 28, 32
12.5
3, 9, 30, 39
12.6
4, 7, 19, 25, 36
12.7
10, 11, 31, 32, 49
Bonus Questions (HW +10% each)
12.3.94ab, 12.3.49 (reasons!), 12.5.49, 12.7.43, 12.7.51
In question 12.3.49 (bonus q.) you must have a logical explanations of how you arrived to the solution!
Submit the homework before the lecture on Tuesday, October 9th
28 Sept 2007
Exam 2 date
We will have exam 2 on Thursday, 11 October. The exam will cover Chapter 12 (sections 12.1-12.7).
28 September 2007
Homework 3
12.1
2, 6, 24, 48, 50, 60, 62, 64
12.2
4, 7, 12, 16, 32, 42, 44
Bonus (HW +10%)
The surface in 12.1.62 is called the "monkey saddle". Why? Draw the monkey.
Submit the homework before the lecture on Tuesday, September 25
20 Sept 2007
Homework 2
11.4
6, 18, 24, 28, 34, 44, 45, 58, 66, 68
11.5
2, 6, 10, 13, 27, 32; just answers of: 18, 20, 22, 24
11.6
1-6 (give reasons!), 16, 42, 52, 58
11.7
2
Bonus (HW +20%)
(see question 11.5.45) Find equations of lines lying entirely on a 1-sheet hyperboloid x^2+y^2-z^2 = 1. How many lines pass through each point? Give examples of engineering / life applications.
Bonus (Exam 1 +10%)
Derive the formula for the distance from a point to a plane from the definition (it is the shortest distance between the point and all points on the plane) using Lagrange multipliers, Section 12.8.
Submit the homework before the lecture on Tuesday, September 11
4 Sept 2007
Exam 1 date plus an addition to Homework 1
We should finish Chapter 11 by next Thursday (Sept 6th). By then we will have covered 11.1-11.6 (plus formula (1) from 11.7). So the first exam covering these Section will be on Thursday after that, Sept 13th.
There is an additional exercise you are asked to do in your Homework 1, question 11.3.26(a) from Stewart.
30 August 2007
Sample Exam
Here is a sample exam I prepared. It is based solely on sections 11.1-11.3 (what we have done so far) and I highly recommend you to try it. Especially the harder problems (towards the end). Because this is what will be on the exam: the harder problems.
29 August 2007
Homework 1
11.1
3, 8, 11, 16, 40, 41, 42
11.2
8, 15, 17, 21, 22, 30, 32, 33, 46
11.3
7, 13, 15, 21 and (new addition) 26(a)
Bonus (HW +10%)
11.3.28
Submit the homework before the lecture on Tuesday, September 4
28 August 2007
Good summaries plus worked examples
Art Belmonte prepared good summaries of the sections with some worked examples (click on the relevant Chapter and then Lecture, summaries are in PDF). In class I will do examples different from those appearing in the summaries.
28 August 2007
Welcome!
Welcome to Math 251, section 510 and 511.
27 August 2007
 

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