18.02 Syllabus - Spring 1999

PRELIMINARY - SUBJECT TO CHANGE

Text: Edwards and Penney (Fifth edition) ``Calculus with Analytic Geometry'' (available at the Coop). You will also need a copy of the ``Supplementary Notes and review problems for 18.02 and 18.02A -- this should be the edition of 1998 (bottom of front page). It is available from Graphic Arts, 11-004.

Lectures:   Tuesday and Thursday at 1:00 PM; Friday at 2:00 PM in 54-100. Professor Richard Melrose, 2-174, x3-2950, rbm@math.mit.edu.

Homework:  A problem set will be due every Friday (except Feb 5). It should be handed in by 1:45 PM, in the boxes at the door of the Undergraduate Math Office, 2-106. In the weeks of 2/19, 3/12, 4/9 and 4/30, problem sets will be due by 12:45 PM on Thursday. The list of problems will be given out in lecture the previous week, and be subsequently available in 2-108 (left wall) and on the web page.

Listserver: Soon

Web page: Should be accessible from the math department home page at ``http://www-math.mit.edu'', or you can try directly at http://www-math.mit.edu/~rbm/18.02.1999.html

Hour Tests: occur on Fri 2/19, Fri 3/12, Fri 4/9 and Fri 4/30 during the lecture hour. Locations will be announced in lecture in advance of the test. Make-up exams will be given for all four of the tests (Originally I said only for the first two, but it seems this was too optimistic!) Enquire in 2-108 for times and places.

Final Exam: There will be a compulsory final examination covering the entire subject material; it will occur during exam period.

Tutoring Hours:  Tutoring is available in Room 2-102 Monday through Thursday, 3-5 PM and 7:30-9:30 PM.

Grades:  The final grade will be based on a cumulative point total. Each hour test will count for 100 points, and the final exam for 300 points. The problem set together will amount to 300 points, for a combined maximum of 1000 points.

Part I:Vectors

 
Lecture 1:		T 		 2/2 		 Vectors in 2 and 3-space

Lecture 2:		R 		 2/4  		 Determinants

Lecture 3:		F 		 2/5 		 Cross product, planes

Lecture 4:		T 		 2/9  		 Matrices, inverse matrices

Lecture 5:		R 		 2/11  		 Cramer's rule

Lecture 6:		F 		 2/12  		 Parametric curves

		 		(2/16 has a Monday schedule)

Lecture 7:		R 		 2/18  		 Kepler's law

Lecture 8:		F 		 2/19 		 1st in class test.  Covers 1-7.

 
Lecture 9:		T 		 2/23 		 Functions of several variables

Lecture 10:		R 		 2/25  		 Maxima and minima

Lecture 11:		F 		 2/26  		 Least squares, level curves

Lecture 12:		T 		 3/2  		 Approximation, chain rule

Lecture 13:		R 		 3/4  		 Gradient

Lecture 14:		F 		 3/5  		 Directional derivative

Lecture 15:		T 		 3/9 		 Constraints and Lagrange multipliers

Lecture 16:		R 		 3/11		 Chain rule again

Lecture 17:		F 		 3/12  		 2nd in-class text.  Covers 7-14.

 
Lecture 18:		T 		 3/16 		 Polar coordinates

Lecture 19:		R 		 3/18  		 Volume under graph

Lecture 20:		F 		 3/19  		 Double integration

Lecture 21:		T 		 3/30  		 Line integrals

Lecture 22:		R 		 4/1  		 Potentials, gradient fields

Lecture 23:		F 		 4/2  		 Vector fields

Lecture 24:		T 		 4/6  		 Green's theorem

Lecture 25:		R 		 4/8  		 Divergence

Lecture 26:		F 		 4/9  		 3rd in-class test.  Covers 15-21.

Lecture 27:		T 		 4/13  		 Flux

 
Lecture 28:		R 		 4/15  		 Triple integrals

Lecture 29:		F 		 4/16  		 Cylindrical and spherical coordinates

            				  (T 4/20 is a holiday)

Lecture 30:		R 		 4/22  		 Gravitation

Lecture 31:		F 		 4/23  		 Surface integrals

Lecture 32:		T 		 4/27  		 Divergence theorem

Lecture 33:		R 		 4/29  		 Line integrals in 3-space

Lecture 34:		F 		 4/30  		 4th in-class test.  Covers 22-29

Lecture 35:		R 		 5/4  		 Exactness criteria

Lecture 36:		R 		 5/6  		 Stokes' theorem

Lecture 37:		F 		 5/7  		 Conservative fields

Lecture 38:		T 		 5/11  		 Applications of Stokes' theorem

Lecture 39:		R 		 5/13  		 Review