MAT203
Calculus III with Applications

Department of Mathematics

Stony Brook University

Spring 2010



10:40am-11:35am Heavy Engineering Lab 201

IMPORTANT ANNOUNCEMENTS:


MAT203 is a fun course! We'll begin by stepping out of that boring 2-dimensional blackboard and learn how to use mathematics to describe the 3-dimensional world we know and love. We'll apply what we already know about calculus to this new setting - nothing much new, just another dimension. All of a sudden we'll see that we can now describe a whole bunch of real world stuff like the best way to drive your math buggy across wild rolling hills, compute the volume of a mineral to be mined underground, find out what's behind the capillary action of our veins, or predict how your rubber ducky will navigate a tub of turbulent water.

This is not a course about memorizing lots of tricks (like much of calculus II or calculus B). It's about being able to abstract what you already know to a new setting. Most solutions will come from your intuition, not a definite formula. If that intuition is ever missing or you ever become confused please seek help from your TA or myself. I genuinely want every student to get an A in this class, but you'll have to help me by getting us to help you.

Instructor: Michael Movshev
email: mmovshev ad math dot sunysb dot edu
Office: Math Building 4-101 Office hours Mon Wen 11:40:-12:40

If you absolutely cannot meet me during office hours, send an email and we'll work something out.

Teaching Assistants:

Text:
Multivariable Calculus by Larson, Hostetler, Edwards, 9th edition
The text is available at the university book store. Bring your textbook to class each day for lecture and recitation.

Grades:
35% Homework (posted below)
30% Midterm Exam
35% Final Exam


Class participation will have a positive effect on your grade!

Midterm Exam: Friday, March 12, 10:40AM-11:35AM in usual lecture room. The midterm will cover sections 11.1 through 13.5. Click here for a practice midterm.
Final Exam: Wednesday, May 12, 11:15AM-1:45PM Location: Heavy Engineering Lab 201.
Exams will be receded by practice tests accompanied with solutions. In order to be successful on the exam students must master not only homework problems but practice tests as well.

Homework:

Homework listed below is subject to change. Please check often!
Each assignment is due the following week unless otherwise specified.

Week

Topic

Notes

Assignment: Only turn in the bold exercises. Your TA will have instructions for handing them in.

1/25-1/29

11.1-11.2

It looks like a lot, but many are quick.

11.1 #5,21,22,33,39,41,49,53,63,70,75,83,85,92 (for both parts assume the resultant force is zero)
11.2 #7,9,11,21,27,31,35,37,40,43,49,55,67,69,81,85,95,98,99,103-106,114 (notice that |BC| is 18 ft, not 16 ft!) HW1-solutions

2/1-2/5

11.3-11.5

11.3 #5,7,9,17,25,45,50,65,66,69,71,74,80,85
11.4 #7,13,17-20,34,37,45
11.5 #1,5,15,19,27,33,37,42,46,53,65,81,87,93,97,99,112 HW2-solutions

2/8-2/12

11.6-11.7

Only two problems due for this assignment.

11.6 #1-6,7,9,11,13,15,29,45,50,58,62 HW3-solutions

2/15-2/19

11.7, 12.2

11.7 #3,7,13,17,23,25,29,33,35,37,43,45,49,53,54,59,67,87-92,97,99,101,102,103,114
12.1 #1,9,13,15,17-20(1 pt each),33,46,59,72
12.2 #4,10,19,21,25,28,39,53,55,65

HW4-solutions

2/22-2/26

12.2-12.5

12.3 #1,5,15,17,22,28,35,49
12.4 #9,15,25,29,37,45-48,50
12.5 #9,12,17,19,71,86,89,93-100

HW5-solutions

3/1-3/5

13.1-13.3,13.5

3/8-3/12

 

Midterm on Friday!
No homework will be collected this week.

 Practice Midterm I and its Solutions

3/15-3/19

 13.5-13.7

No homework will be collected this week. The following is for next week.

13.1 #17,45-48,55
13.2 #17,23 (consider what happens when (a)y=z=0 and (b)x=y and z=0),27,33
13.3 #13,23,35,57,61
13.5 #9,11,13,17,21,25,35,54
13.6 #1,5,11,15,21,23,37,39-46,42
13.7 #5,11,16,17,43,46,47(a) HW6,7-solutions

3/22-3/26

13.8-13.10


13.8 #4,5,13,15,25,28,45,47,49,51,56,57
13.9 #7,9,19,20
13.10 #1,3,5,10,13,19,21,25,33,39

3/29-4/2


Spring Recess


4/5-4/9

14.1-14.2

14.1 #1,5,9,13,21,23,33,51,56,62
14.2 #2,21,23,25,27,28,29,37,39,53,61HW 8 and 9 solutions

4/12-4/16

14.3-14.5

14.3 #5-8,9,10,13,15,17,21,23,28,41 (Hint: you should find the area of a single petal and multiply by 3)
14.4 #7,11,12,14,15

4/19-4/23

14.6-14.8

14.6 #1,3,7,13,17,19,22,23,25,29,35,63,66
14.7 #1,3,5,9,11,14,19,35
14.8 #1,3,7,9,11,13,20

4/26-4/30

15.1-15.2

15.1 #1-6,9,13,15,23,27,28,35,36,41,44,53,55,57,58,63,75,76
15.2 #1,3,5,7,9,11,13,15,16,29,35,37,43

5/3-5/7

15.3,15.4Review

05.12.10


Final Exam

 Practice Fanal and its Solutions(solution of the last problem is missing but i t has been presented in class)

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