Mathematics 350
Here is the full syllabus.
The in-progress creation of problem sets can be viewed here.
Some maple worksheets relevant to 350 can be found in my outbox.
As promised, here's someone's commentary
on the value of differential forms. You might also find the
article at the end that is an introduction
to differential forms helpful.
Here's my single favourite history
of mathematics web site.
Here's a place you may leave anonymous
comments about the course.
If you would like to see something more on this page, please tell me.
I will try to also keep our course-links updated here:
February 1 Introduction, §1.5 Kepler's first:
Opening
Day Theme Song Video
link
3
§1.5 Gravity: Theme
song Lecture video
link text
of elliptical derivations
5
3.1 Theme
song Lecture video link
8
3.1/3.3: Theme
song Lecture video link
text
of curvature on a parabola
10
3.3 Theme
song Lecture video link
12
3.3 (chapter 4 intro) Theme
song Lecture video link
15
4.2 Theme
song Lecture video link
17 4.2
Fluid flow: Theme
song Lecture video link
19
4.4 2-forms, and 3d fluid flow. Theme
song. Lecture video
link
22 4.4 pullbacks and 4.6
3-forms: Theme
song. Lecture video
link.
24 4.6
3-form pullbacks and k-forms, start of 4.7: Theme
song. Lecture video
link.
26 Read
others' problems. No lecture.
March 1 4.7 rest and at least start 567 review: Theme
song*. Lecture video
link.
*I don't usually use spotify, but it's the only place I could find to
link this song which has a perfect title as we begin reviewing constant
forms.
3
Finish 567 review: Theme
song. Lecture video link.
5
8.1 non-constant polar example: Theme
song. Lecture video link.
8
8.2 Lagrange: Theme
song (no, this is about a brothel in Texas, LaGrange, not
Lagrange). Lecture video link
10 8.4 Surface
integrals: Theme
song. Lecture video link.
12 No lecture. Read
others' problems.
15 8.4 Integration
with respect to Surface area: Theme
song. Lecture video link.
17 8.5 Heat flow
(take home exam opens): Theme
song. Lecture video link
19 Chapter 10
preview: Theme
song. Lecture video link
22 [posted Tuesday]
Discuss Exam (except Q3) 10.1 start (take home exam due by 11:59p): Theme
song. (You can see why this song was prohibited). Lecture
video link.
26 end of 10.1 more
FTC overview, and a little bit of 10.2 preview: Theme
song (the relevant part that I have in mind is at about 10:00).
Lecture video link.
29 Read
Others' Problems.
31 Discuss Exam Q3,
10.2: Theme
song. Lecture video link.
April 2 Second half of 10.2: Theme
song (both for Valid Path and because the
Tunguska event is fascinating). Lecture
video link.
5 10.4 Green's
Theorem: Theme
song. Lecture video link.
7 10.4 Gauß's Theorem and
incompressible flow: Theme
song (the song is a little long; I don't mind if you sit this one
out). Lecture video link.
9 Quizam 2 review, start
10.6 - proof of Stokes's Theorem: Theme
song. Lecture video link.
12 Read Others'
Problems
14 Proof of fundamental theorem of
calculus in general, more 10.6 (take home exam opens): Theme
song. Lecture video link.
16 end of 10.6, mostly about
curl: Theme
song. Lecture video
link.
19 10.7 comparisons, start 10.9:
Theme song.
Lecture video link.
21 10.9: Theme
song (did you say harmonica functions?). Lecture
video link.
23 Finish 10.9, THXM2 somehow: Theme
song. Lecture video link.
26 Read others' problems
28 11.1: Static electricity and
magnetism Theme
song. Lecture video
link.
30 11.2: Moving into space-time. Theme
song. Lecture video
link. Quizam 3 (material thru PS5)
May
3 11.3: Maxwell's equations (and what
he does with them).
Theme song. Lecture
video link.
5 Discuss Quizam 3.
11.5: Lorentz Transformations. Theme
song. Lecture video
link.
7 11.5:
Relativity. Theme
song. Lecture video
link.
PS 6
11
Read
others' problems
Take-home final
opens
Saturday,
May 15 11:59p
Take-home final due
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