Contact information: Office: Krieger 216; Phone: 6-5116; E-mail: kc@math.jhu.edu

When and where: The lectures are on MTW from 12pm to 12:50pm on SHA 300.

Text: Vector Calculus, Second Edition, Susan J. Colley. The book is required reading. In fact, you are technically required to read the book before I lecture on the material. From the Homework you can usually tell what I am about to lecture on, so you'll know what to read.

There is a small note about how to read a math textbook on the Supportive material web page for the course.

Homework: Homework will be posted on the course web site sometime on Thursdays. Homework will be due at the beginning of the next week's section meeting. The homework will normally cover the material in the lectures for the week (or/and the week before) the homework is due. There is no perfect way to time homework. You are allowed, even encouraged, to do your homework in groups. Everyone must hand in their own homework though. Homework is THE essential educational part of the course. You will be graded mostly on your ability to work problems on the homework and the exams. You cannot work problems on exams and exams if you have not worked lots of problems before and in preparation for these tests. If you misuse homework by not doing it yourself, or not checking that you can solve a problem on your own after having been shown how to do it, then your exam scores and corresponding grade might be disappointingly low. Late homework is not acceptable. Find an agreement with your Teaching Assistant about how to turn in a homework if you cannot go to class but please do not handle it to me. The TAs deal with the homework.

Exams: Bring your I.D. and a PEN (tests must be written with pens NOT pencils). Do not have any math books or papers anywhere near you. Official grading policy gives you a zero for the exam if you break rules. If you think to miss an exam with a good excuse then see (or contact) me before the exam takes place. There will be no makeup exams. For excused absences, the grade for a missed exam will be a weighted average of the other exam grades. The TA will hand out the exams in section when they are graded. We sometimes make mistakes when we grade exams. Check yours over carefully to see that it was graded properly and the score was added correctly. Do this before you take it out of the room. If you take an exam out of the room we assume that you accept the grade. If you are not sure, return it to the TA and look at it later with the TA.

Personal Problems: If you anticipate, or actually experience, serious problems with an exam because you have physical, mental or psychological problems, then come and talk to me, before the exam. Exams are for the purpose of finding out if you know the material. If you need some sort of special consideration because of a disability or other reason then you should let me know in a timely fashion. If you freeze during an exam, tell me that during the exam, don't wait to tell me the next day.

Grades: Roughly speaking, depending on how the class goes, you can sort of expect that the middle grade might be about a B-. I will give two midterm exams, each worth 25% and the final will count 35%. In addition the Homework will count 15%.

HELP! The department runs a help room, Krieger 213, which is open most of the day; check door for times. This is the easiest, most convenient way to get help if you need it. It is there right when you want it. My office hours are on TBA. I am also available by appointment.

Study Habits: All of you are good enough to get an A in the course. What will determine the grade is a combination of motivation and study skills. Motivation shouldn't be a problem since the material is great. Study skills are harder to come by. In a nutshell though, the point is: you learn math by doing. You can watch people do math all day and not get much of an education. Do it. Work problems. Memorize every theorem and definition in the book. You need to know them all anyway, why make it up when you need it? Just learn it and remember it. Then work every problem you can find. If you get help from someone, then go back and work it again by yourself the next day. I cannot emphasize enough how important that last statement is. Read it again.

Attendance: Not all students come to class every day. There are a couple of reasons why this can adversely affect a student's grade in the course. One type of student isn't really interested and doesn't really care. The consequences are obvious. Another type of student learns better by reading and seldom gets much out of a lecture and so they don't go. There is a problem with this too. During the lectures I let students know what I think is important in the course and it turns out that I make up the exams and I tend to put what I think is important on the exams. A student who doesn't pay any attention to what happens in class might miss this important connection. So, if you are among those who regularly cut class, I advise you to stay in close contact with someone who does go so that you will know what I am doing in class and what I think is important. You will not get that from the book. The point of this paragraph is that there are good students who don't come to class but who study very hard and then find that their decisions about what was most important to study were wrong.

Calculators: You will not be allowed to use calculators on your exams in this course. Thus it is not a good idea to use them on homework since the homework is designed to prepare you for the exams.

Ethics: I have rarely had problems with cheating in my classrooms and I don't expect to have it in this class. If, however, you know of cheating going on or feel that anything about the course is unfair, then please, report it to me. In the event of cheating then let me know how it is being done so that I can stop it. Cheating does not cheat me but cheats the other students in the class since cheating that raises one person's grade can lower everyone else's grades.

week	beginning	topics
1.	Sept. 12	Sects. 1.1-1.3: Vectors in two and three dimensions. The dot product.
2.	Sept. 19	Sects. 1.4-1.7: The cross-product. Some n-dim. geometry, coordinate systems.
3.	Sept. 26	Sects. 2.1-2.4; 3.1: Functions of several variables and their properties. Limits, derivatives.
4.	Oct. 3	Sects. 2.4-2.6; 3.1: The chain rule, directional derivatives. Parametrized curves.
5.	Oct. 10	Sects. 3.2-3.4; 6.1: Arclength, vector-fields. Gradient, divergence, curl etc. Scalar and vector line integrals.
6.	Oct. 17	Sects. 5.1: Areas and volumes. First midterm exam.
7.	Oct. 24	Sects. 5.2-5.3; 6.2: Double integrals. Green's theorem
8.	Oct. 31	Sects. 6.2-6.3; 4.1: Conservative vector fields. Differentials and Taylor's theorem.
9.	Nov. 7	Sects. 4.2-4.4: Extrema of functions, Lagrange multipliers.
10.	Nov. 14	Sects. 5.4-5.6: Triple integrals. Change of variabes. Applications.
11.	Nov. 21	Sects. 7.1-7.2: Parametrized surfaces and surface integrals. Second midterm exam.
12.	Nov. 28	Sects. 7.3-7.4; 8.1: Stoke's and Gauss's theorems. Further vector analysis. An introduction to differential forms.
13.	Dec. 5	Sects. 8.2-8.3: Manifolds and integrals of k-forms. The generalized Stokes's theorem.