Math 51000: Vector Calculus (3 credits)
     Class Number: 21495

Spring 2010: Meets 9:00a - 10:15a MW   in SL 051

Final Exam: Wednesday, May 5, 8:00a - 10:00a
Carl Cowen
    Office:  LD 224P
    E-mail:  ccowen "at" iupui "dot" edu
    Phone:   278-8846
    FAX:     274-3460

Office Hours:
    M 10:30-11:30a, M 3:00-4:00p, W 10:30a-12:30p,   or by appointment
Note: no office hours between noon Monday 1/11 and Tuesday 1/19.


  • Syllabus for Math 51000



  • Textbook for the course is "Vector Calculus, Linear Algebra, and Differential Forms" (4th edition) (3rd edition is OK) by J.H. Hubbard and B.B. Hubbard



         Class Schedule

    January 13    (for discussion) Handout 1
    January 18   No Class -- Dr. Martin Luther King, Jr. Day
    January 27    Read sections 1.5, 1.6, including problems
                  page 102: 1abdf, 5abc, 7, 14(find limit for each, prove one), 16, 21
                  page 119: 2, 5
    February 3    page 138: 5abcd, 6ab, 7, 8, 11, 12
    February 10   page 139: 16abc, 18, 19
                     Forget number 18, it is same as 16!
                  page 146: 1, 2, 3, 4, 7, 9, 10a
    February 15     Quiz over Sections 1.5, 1.6, 1.7, 1.8 ( 9:55 - 10:20 )
                  Handout 3
                  'tennis ball curve'
    February 17   page 276(275): 1, 2, 5, 6, 8, 9, 13, 15
    February 24   page 303: 2, 3(every!), 4, 5, 6, 7
                   manifolds: 'Hyperboloids of one sheet'
                     Quiz on Section 2.10: 10:00-10:20a
    March 3       page 303: 10, 11, 25; page 313 (312): 1, 4abcd; 
                    and problems 1 - 6 from Handout 4 (fixed)
    
    
    March 10      Test I on Sections 1.5, 1.6, 1.7, 1.8, 2.10, 3.1, 3.2
                   Test begins at 9:10 and ends at 10:20a 
                   No Books, No Notes, No Papers, No Machines, No Phones, ... 
    
    March 31      problems from Handout 5
    April 7       page 369 (368?): 3, 5, 6, 14, 15, + handout to come
                    draft of Handout 6
                    Quiz over (NOT constrained) maxima/minima and level sets 10:00 - 10:20a
    April 14      Handout 7
    
    April 19      Test II on Sections 3.6, 3.7, (level sets 3.1), (gradients), and 4.1
                   Test begins at 9:00 and ends at 10:20a 
                   No Books, No Notes, No Papers, No Machines, No Phones, ... 
    
    April 28       page 448 (446): 2, 3, 7, 8, 11, 15, 16
                   page 495 (493): 1, 2, 14, 18
    
    May 4         Extra Office Hours: 2:30-4:00p
    
    May 5         Final Exam: 8:00 - 10:00a
    Exam in SL 050 (usual classroom)
    covers all material covered in course



    Back to Carl Cowen's Home Page