Mathematics 311, Sec. 503, Fall 2014

Last updated Sun 21 Dec 2014

SKIP PAST THE ANNOUNCEMENTS if you so desire. ._. (or to near the bottom)

Announcements

• 21 Dec: Grades are submitted and posted. I added 20 points to the final exam scores (in addition to 15 for Test C). Then the grades are based on a straight percentage of the total scores (base of 700) as originally announced. I am never happy with final exam scores, but these results are typical for my sections of this course. Many of you still need to (1) master the notation for vector fields and surface integrals, (2) recognize when an integral is zero by symmetry, (3) not run in panic from the word "prove".
• 18 Dec: The final exam solution key is now posted below. Grades will be posted sometime over the weekend.
• 15 Dec: Homework grades are on a basis of 180; your raw score total will multiplied by 0.138 = 180/1300. Class participation (and attendance) grades are on a basis of 20; what you see in eCampus is what you get.
• 10 Dec: Final office hours: I expect to be in the office Thursday and Friday afternoons (11 and 12 Dec), roughly from 2 to 5.
• 2 Dec: Announcement of Math Club meeting Tuesday, 9 Dec, 7 pm, BLOC 169.
• 16 Nov: I will miss the office hour on Tuesday, 18 Nov, because of jury service.
• 10 Oct: I will be unable to meet my office hour at 3:00 on Tuesday, Oct. 14. Instead, I will be in my office that day between 1:00 and 2:00.
• 1 Oct: I may be late to my office hour on Monday, Oct 6. (I need to attend a graduate student's final oral exam the previous hour.)
• 8 Sep: First AMUSE seminar of the semester will be Wed 10 Sep, 6-7 pm, BLOC 166. More information about AMUSE is here.
• 8 Sep: There is a linear algebra help session, 5:00-7:30 pm, BLOC 117, Sunday-Monday-Wednesday-Thursday.

Course procedures and resources

• Course handout
• Groups
• Please see my home page for up-to-date office hours.
• Course notes (Linearity book) ._._. with Caveat Emptor Solutions Manual
• Track your grades on eCampus
• Supplementary notes
  • nabla in curvilinear coordinates
  • Transparencies on Vector calculus and the topology of domains in 3-space (J. Cantarella et al., Amer. Math. Monthly 109 (2002), 409-442).
  • Green functions
  • hyperbolic functions and the twin paradox
• Old home pages (including tests with solutions). Only the most recent (Fall 2012) used the Leon-Colley book.

Course content by weeks

1. Vectors
   • objectives
   • assignment
2. Matrices
   • objectives
   • assignment
3. Vector spaces and linear functions
   • objectives
   • assignment
4. Differentials (linear approximations)
   • objectives
   • assignment
   • Test A answer key (Of course, this will not appear until after the test. Old tests are visible on the old class home pages.)
5. Linear independence and spanning
   • objectives
   • assignment
6. Dimension theorems and coordinate systems
   • objectives
   • assignment
7. Basis change; subspaces
   • objectives
   • assignment
8. Kernels and ranges and superposition principles
   • objectives
   • assignment
   • Test B answer key
9. Implicit functions; inner products
   • objectives
   • assignment
10. Orthogonality; divergence and curl
    • objectives
    • assignment
11. Determinants
    • objectives
    • assignment
12. Line and surface integrals
    • objectives
    • assignment
    • Test C answer key
13. Eigenvectors
    • objectives
    • assignment
    • Final exam answer key

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Go to home pages: Fulling ._._. Calclab ._._. Math Dept ._._. University

e-mail: fulling@math.tamu.edu