Lecture  Sections 

T TH 1011:45 am Stevenson Acad 175  11P: M W 23:50 pm Applied Sci 295. 12P: M W 45:50 pm Applied Sci 295. 
Our goal is to develop an intuitive understanding of the integrals, as well as the formal skills required to set up and evaluate them, within the context of a variety of applications. The main learning objectives of the course are as follows:
Also, there will be weekly quizzes every Monday. No calculators, textbooks, or notes will be allowed during quizzes. You should save copies of these quizzes as they are a very good source for preparing for the final and midterms.
Doing the homework problems is the most important part of this class. You may work with a group of your classmates if you are all at about the same level; however, you should definitely try to do many problems on your own. Further, try to practice doing at least some of the problems in settings which resemble that of the test and quizzes, i.e., without using your calculator or constantly referring to the textbook.
Dates  Lectures  
Sep  23  TH  5.1, 5.2  Intro to double integrals: Cavalieri's Principle, and Fubini's theorem 
28 30 
T TH 
5.3 5.4 
Double integrals over general regions Changing the order of integration, The mean value theorem 

Oct  5 7 
T TH 
5.6 6.1 
Triple integrals Geometry of mappings from plane to plane 
12 14 
T TH 
6.2 6.3 
Change of variables theorem, the Jacobian Applications: average values, and center of mass 

19 21 
T TH 
7.1 7.2 
Path integrals Line integrals, total work 

25 28 
T TH 
7.3 7.4 
Parametrized surfaces Area of Surfaces, Review 

Nov  2 4 
T TH 
. 7.5 
Midterm(covers up to 7.2) Surface integrals of scalar functions 
9 11 
T TH 
7.6 8.1 
Surface integrals of vector functions Green's theorem 

16 18 
T TH 
8.2 8.3 
Stokes theorem Conservative vector fields 

23 25 
T TH 
8.4 . 
Gauss's theorem Thanksgiving (No Class) 

30  T  8.5  Some more applications  
Dec  2  TH  .  Review 
7  T  .  Final Exam(Comprehensive) 
Homework #  Due Date  Problems 
1  Sep 29 
5.1) 1 a c, 2 a c, 4, 5, 6, 9;
5.2) 1 c, 2 c, 3, 5, 6. 
2  Oct 6 
5.3) 1 c, 2 a, 3, 5, 8, 11, 12;
5.4) 1 c, 2 b, 5, 7, 9. 
3  Oct 13 
5.6) 4, 5, 10, 12, 19, 25;
6.1) 1, 3, 7, 8. 
4  Oct 20 
6.2) 1, 3, 9, 13, 21, 29;
6.3) 2, 4, 9, 10, 17. 
5  Oct 27 
7.1) 2c, 4, 9, 12;
7.2) 1b, 2a, 3, 4, 17, 18. 
6  Nov 3 
7.3) 2, 5, 11, 12;
7.4) 3, 4, 6, 7, 11. 
7  Nov 10 
7.4 14, 16;
7.5) 2, 4, 9, 10, 11, 15. 
8  Nov 17 
7.6)2, 3, 4, 15, 16;
8.1) 2, 4, 12, 13, 20. 
9  Nov 24 
8.2) 2, 3, 8, 17, 19;
8.3) 4, 5, 7, 10, 15a. 
10  Dec 1  8.4) 1, 3, 7, 8, 9, 13, 14, 18. 
A good deal of class time shall be devoted to working through problems. Do not sit back and dare the professor to make you understand. Take out your paper and pencil and try to do the problems at the same time with your instructor. If something is unclear to you, feel free to ask questions, and if you need more help, go see your instructor and/or the TA during the office hours. If you cannot come during the office hours, you are welcome to knock on the professor's door at another time, or send an email for an appointment.