General Information for Math 18(2) Several Variable Calculus Section 2

Important note: This course is one of two sections of math 18. The sections are not identical. This section is for students who have not yet taken a linear algebra course.

Instructor: My name is Thomas Hunter. My office in the mathematics department is in Dupont 185. You can reach me by phone at 328-8244 or by email at thunter1@swarthmore.edu

Office Hours: Tuesdays from 10 to 11am, Wednesdays from 8 to 10 pm, Thursdays from 3 to 4 and by generous appointment. The stated slots are times you can be sure to find me in my office and willing to talk. Other times are fine, but to be sure that I am available, you should make an appointment with me. Of course you should feel free to stop by anytime and see whether I am available.

Text: We will use the text Vector Calculus (fourth edition) by Marsden & Tromba. It is available at the bookstore.

General Game Plan: We will cover the entire text--if possible--with the following two categorical omissions: We will skip the most theoretical sections. We will limit our discussion--most of the time--to two and three dimensions. A more detailed plan but quite tentative is included with this document and should be updated periodically.

Meetings: Regular lectures will be 11:30am-12:20am Monday, Wednesday, and Friday in Dupont 139.

Homework:I will assign homework in lecture and each week's worth of homework will be due in class the following Friday. (Wednesday if there is an exam.) I expect to have a grader for the course, but I will try to keep close track of how the grading is going.

Exams: There will be one mid--term and a final exam. The midterm will be in class on Friday, March 7. The final will be scheduled by the registrar.

Grades: The mid--term will be worth 100 points. The final will be worth 200 points. Your grade will be based on the sum of theses scores.

Computer and Electronic resources: There is a web page (you may be reading it right now) associated to this course. You may find it via my home page at http://www.swarthmore.edu/NatSci/thunter1/. Other resources you may find useful are the Macintosh graphing calculator, Mathematica, and Maple. Use of these or any other computational tool will not be a required part of the course. (In fact I will ban calculators on most tests.) However, in class demonstrations will all use one or another of these tools and you may find them very useful for learning the concepts. Copies of all programs for all classroom demos will be stored in our class folder on the Classes server.

Clinic: Math Clinic will be run every evening which precedes a weekday, starting sometime in the first or second week of the semester. The Clinic is a great resource for all students---not just for those with difficulties. It is a place where you can work together with other students and know that help and encouragement are available whenever you need it.

Late work: Generally speaking late work will never be accepted and exams may never be taken late. In the case of irreconcilable conflicts you may schedule an exam earlier than the official time, but make up exams will not be given after the regularly scheduled exam except for the most extraordinary circumstances. (For example, global invasion by extraterrestials.)

Tentative Schedule

Date Topic Problems
Mon. Jan. 20 1.1 & 1.2 1.1: 1--9, 1.2:1--11.
Wed. Jan. 22 1.3 1.3: 1--4,10,11,13,14.
Fri. Jan. 24 1.4 1.4: 1,2,3,8,12,15.
Mon. Jan. 27 2.1 & 2.2 2.1: 1--6, 11--13, 21--23.
Wed. Jan. 29 2.3 2.3: 1, 2, 3, 5, 6, 7, 13.
Fri. Jan. 31 2.4 2.4: 1--4.
Mon. Feb. 3 More 2.4 2.4: 5--14.
Wed. Feb. 5 2.5 & 2.6
Fri. Feb. 7 3.1 2.5:1,2,4,5,6,7,8,9,20
Mon. Feb. 10 3.2 3.1: 1,2,3
Wed. Feb. 12 3.3 3.2: 1--6
Fri. Feb. 14 3.4 *
Mon. Feb. 17 3.3 3.3: 1--10, 17
Wed. Feb. 19 3.4 3.4: 1, 4, 7, 10, 13, 15, 21.
Fri. Feb. 21 4.1 4.1: 1--9, 11, 15, 16.
Mon. Feb. 24 4.2 4.2: 1, 2, 3, 4, 5, 8, 9.
Wed. Feb. 26 4.3 ¥
Fri. Feb. 28 4.4 ¥
Mon. Mar. 3 5.1 ¥
Wed. Mar. 5 5.2 ¥
Fri. Mar. 7 Midterm
Mon. Mar. 10 Break
Wed. Mar. 12
Fri. Mar. 14
Mon. Mar. 17 5.3 ¥
Wed. Mar. 19 5.4 ¥
Fri. Mar. 21 5.6 ¥
Mon. Mar. 24 6.1 ¥
Wed. Mar. 26 6.2 ¥
Fri. Mar. 28 6.3 ¥
Mon. Mar. 31 7.1 ¥
Wed. Apr. 2 7.2 ¥
Fri. Apr. 4 7.3 ¥
Mon. Apr. 7 7.4 ¥
Wed. Apr. 9 7.5 ¥
Fri. Apr. 11 7.6 ¥
Mon. Apr. 14 7.6 ¥
Wed. Apr. 16 Meditation on the fundamental theorem of Calculus ¥
Fri. Apr. 18 8.1 ¥
Mon. Apr. 21 8.2 ¥
Wed. Apr. 23 8.2 ¥
Fri. Apr. 25 8.3 ¥
Mon. Apr. 28 8.4 ¥
Wed. Apr. 30 8.5 ¥
Fri. May 2 8.5 ¥