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



Return to my homepage .