Math 3335. Problems for home study (List will be updated as the course progresses)

Section 1.2:  3

Section 1.3:  2 through 7, 12,13

Section 1.4:  all problems

Section 1.5:  1 through 5, 9, 12, 13,14,15, 18, 21.

Section 1.6:  1,3,6,7.

Section 1.8:  1,2,3,4,5,8,9,10,11,15.

Section 1.9:   1,2,3,4,5,6,7,11, 21, 22, 25

Section 1.10:  1 through 7, 8, 9, 13, 16.

Section 1.11:

Section 1.12:  3,5,7,8,10,12,13,14,16,18,19 through 23.

Section 1.13:  1,2,3,5,6,7,8,9a,10ab,11,12,13ab,15,16a,17.

Section 1.14:  1 through 12.

Section 2.1:  1a-e, 2,3,4,5a,d,e,f,h,i.

Section 2.2:  4, 5ab, 9

Section 2.3:  1,2,3, 5,6,8, 10c, 15, 16, 17, 18, 19, 20, 21. Notice that log denotes the natural logarithm function ln.

Section 2.4: 

Section 2.5:

Section 3.1:  4,5,7a,8,10abc, 13,16b, 19b, 25, 30.

Section 3.2:  2a,3.

Section 3.3:  1,2,3,4,5

Section 3.4:  1,2,3,4,7

Section 3.5:  1,2,3,4,5,6,7

Section 3.6:  1,2,4ac,5abcdefij. Note that the Laplacian of a vector field is defined on pg.139.

Section 3.8: 5,6,10,11,12.

Section 4.1:  Path integral problems Line integrals: Note that the integral sign with the superimposed circle denotes line integral over a closed curve. 1,3,4,5,6,10,11, 18, 19, 20.

Section 4.2:

Section 4.3: 2,4,5 (Remark: Does the potential the book gives have the same domain as F in 4? Is the book’s statement “Yet …theorem 4.2).” correct or incorrect? Explore the mystery the problem refers to after having fully answered this question). Is it possible to find a potential for F based on what you found in 4? After solving 5 return to 4, but take the closed path to be the ellipse 9x²+25y²+126x-500y+2766=0. The latter question is challenging conceptually not computationally; think just don’t try to calculate. Solve also 6,7,8.

Section 4.4: 1,2,3a, 6,7,9b, 10, 11,13.

Section 4.5: 2, 6,7. This section concludes the material for Exam 1.

Section 4.6:   1,3,4,5

Section 4.7:  1, 2abfg, 5,6,7c, 8, 12,13,14,15,16,18,19,20,21.

Section 4.8 (Review this section on your own): 1,2,3,5,6.

Section 4.9: 5,6,9ace, 10, 12, 16, 20, 24.

Section 5.1: 10

Section 5.2:

Section 5.3:

Section 5.4: 6, 7, 8b, 12.

Section 5.5: Look at Section 4.9 for problems

This is the complete list of problems you have to be able to solve to make an A in this course.