Vector Calculus (Math 112), Spring 2006

MacQuarrie 323, MWF 11:30am-12:20pm (Sec 01, code 28499)

Last update of this page: Sun Aug 20, 2006

Announcements:

• If you would like to know your grade in this class, just e-mail me at hsu@math.sjsu.edu.

• There's a fun-looking, rarely offered course called Differential Geometry (Math 113) running this fall. If you've found the stuff we've been doing with surfaces interesting, it would be a great next step after Math 112, and it's with an excellent professor (Dr. Simic). For more information, see the informational flyer.

Administrative handouts:

Course notes:

Course content: Limits and continuity (corrected Thu Feb 16), Differentiability, When is a vector field conservative?, What makes a domain simply connected?, The fundamental theorems of calculus, Why the Aerobie has a hole in it.

Maple stuff: Buy Maple here. Worksheets used in class: Wed Feb 08.

Topics for exams:

Short answer homework:

HW	Due date	Problems
SA01	Fri Jan 27	(2.3, p. 139) 2(a,c); (5.2, p. 339) 2(c); (5.3, p. 347) 2(a,d).
SA02	Mon Jan 30	(5.4, pp. 353-354) 2(a), 8; (5.5, pp. 364-365) 14, 20, 24.
SA03	Wed Feb 01	(1.1) 8, 16, 20, 24; (1.2) 6.
SA04	Fri Feb 03	(1.2) 13, 14, 17; (1.3) 2(c), 14.
SA05	Mon Feb 06	(1.3) 10, 16(c), 20, 24; (1.4) 4.
SA06	Fri Feb 10	(1.4) 2(a), 6; (1.5) 7; two Maple problems in handout.
SA07	Mon Feb 13	(2.1) 6, 14 (level sets only), 18, 26, 30.
SA08	Wed Feb 15	(1.4) 2(c), 10; (2.1) 8, 16, 20.
SA09	Fri Feb 24	(2.3) 6(c,d), 8(c), 12(a), 16.
SA10	Mon Feb 27	(2.4) 2, 6, 8, 16, 18.
SA11	Fri Mar 03	(2.5) 4, 8, 10, 12; (2.6) 2(c).
SA12	Mon Mar 06	(2.6) 4(a), 6(a), 14(b), 16, 22.
SA13	Fri Mar 10	(3.1) 4; (3.3) 4, 6, 8, 12.
SA14	Mon Mar 13	(3.3) 36; (3.4) 2, 10, 16.
SA15	Wed Mar 22	(6.1) 6; two problems from handout.
SA16	Fri Mar 24	(6.2) 4(a), 16; three problems from handout.
SA17	Wed Apr 05	(4.3) 2, 4, 6, 8, 12.
SA18	Fri Apr 07	(4.4) 4, 6, 16, 20, 26.
SA19	Wed Apr 12	(7.2) 2(a,d), 6, 10, 12.
SA20	Mon Apr 17	(7.3) 2, 6, 10, 14.
SA21	Fri Apr 21	(7.6) 4, 10, 18.
SA22	Fri Apr 28	(Revised Thu Apr 26) Three problems from handout; (8.1) 6(a), 10.
SA23	Fri May 05	(8.2) 2, 6, 10, 26.
SA24	Wed May 10	(8.3) 4, 12, 14(a), 15(c).
SA25	Fri May 12	(8.4) 4(b), 8, two problems from handout.

Paragraph homework:

Paragraph HW	Due date	Title
P01	Wed Feb 08	Applications of the cross product and dot product
P02	Wed Feb 22	Open sets, limits, continuity (associated Maple worksheet, updated Mon Feb 20)
P03	Wed Mar 01	Differentiablity (associated Maple worksheet)
P04	Wed Mar 08	The chain rule and physical chemistry
P05	Wed Mar 15	Gradient search (associated Maple worksheet)
P06	Mon Apr 10	Examples of vector fields (associated Maple worksheet)
P07	Fri Apr 14	Which vector fields are gradients? (associated Maple worksheet)
P08	Mon May 01	Divergence and surface integrals
P09	Mon May 08	Calculating line integrals using Stokes' Theorem
P10	Mon May 15	Using Gauss' Law to calculate electric fields

Reading assigned in course:

Regular reading: 1.1-1.5, 2.1-2.6, 3.1, 3.3-3.4, 4.3-4.4, 6.1-6.2, 7.2-7.3, 7.6, 8.1-8.4, When is a vector field conservative?, What makes a domain simply connected?, The fundamental theorems of calculus.

Other useful links:

• Online user's manual for all TI graphing calculators
• Download Adobe Reader (reads .pdf files)

• Instructor: Tim Hsu.
• Required texts: Vector calculus, Jerrold E. Marsden and Anthony J. Tromba, 5th ed. (Make sure you get the 5th ed., with a white-haired guy on the cover, not the 4th ed., with a comet on the cover.)

  Writing math in paragraph style, Hsu, available at AS Print Shop or download here.

• Homework: Due every day, except on exam days.
• Quizzes: One each week, except in exam weeks.
• Exams: Three 50-minute in-class exams plus 2 hour, 15 min final exam (Fri May 19, 9:45am-noon).
• Grading: Final course grades consist of:
  

  Homework:	10%
  Quizzes:	5%
  Exams 1:	15%
  Exams 2 & 3:	20% each
  Final:	30%