Math 422/522, Fall 2006

Study Sessions (tentative schedule)

Every Monday 2-3, Friday 3-4 in Math 220

Final Exam

The final exam will be open book and open notes. Please be sure to bring your book and notes.

There will be problem sessions:

• Saturday with Alex at 1pm
• Wednesday (Dec. 13) 2pm-5pm (2-4 with Prof. Glickenstein) in Math 402.

• Exam 2

Exam 2 will cover selected material from: power series solutions, Frobenius method, solution of the Laplace equation on a rectangle, boundary value problems (2nd order only), Fourier sine series, complete Fourier series, vector products and differentiation of vectors and scalars (including div, grad, curl), geometry of space curves, line integrals/potential functions, surface integrals, divergence theorem.

Exam 1

Exam 1 will cover Chapter 1, Chapter 2, and possibly the beginning of Chapter 4 (just power series and radius of convergence). The preceptors are running a study session Sunday Sept 24 at 1:00 PM in the basement of the Science and Engineering Library. You may contact them (phone and email listed above) if you have any questions.

You will be given the following table of Laplace transforms: table.

Homework

• Section 1.1: 1(a,c,d,e), 2(a,c,f), 3(a,b)
• Section 1.2: 5, 6(a), 7(a,b,c)
• Section 1.3: 9, 10, 11
• Section 1.4: 13(a,b,f,h), 14, 15
• Section 1.5: 16, 18(a,c,e), 19(a,b,c), 20(a,d,e,h)
• Section 1.7: 23, 24, 25 (a,b), 28 (just use formula from 25)
• Section 1.8: 33(a,c,e,g)
• Section 2.1: 1,2
• Section 2.2: 3
• Section 2.3: 4(a,b,d,e), 5(b,d), 7(a)
• Section 2.5: 26(a,c), 28(a,b), 29
• Section 2.6: 31(a), 32(a)
• Section 2.8: 40(a,b,c), 41(a,b,d), 43, 45
• Section 4.1: 1(a,b,f,i)
• Section 4.2: 5(a,c), 6(a,d,f)
• Section 4.4: 11(a,c), 12(a,d)
• Section 5.1: 1, 2
• Section 5.2: 5, 6, 8
• Section 5.3: 10, 11, 12, 13
• Section 9.3: 14
• Section 5.10: 49(a,c,e,f), 49(a,c,e,f), 56
• Section 5.11: 57(a,c,e,f), 60, 62
• Section 6.1: 1, 2, 5
• Section 6.2: 8, 10, 11
• Section 6.3: 13, 17
• Section 6.4: 20, 24, 25
• Section 6.5: 28, 29, 30 (the moment of a vector v is r x v)
• Section 6.6: 35, 42
• Section 6.7: 44, 45, 47
• Section 6.8: 48, 50, 51, 53
• Section 6.9: 54, 55, 57
• Section 6.10,6.11: 60, 61, 62
• Section 6.12: 67, 68, 69, 70
• Section 6.13: 72, 73(b,c), 78(a)
• Section 6.14: 82
• Section 6.15: 85
• Section 6.16: 88, 89, 93

Homework assignments

• For Thursday, Aug. 31, Section 1.1, 1.4, 1.2. Turn in 2f,7a,14.
• For Thursday, Sept 7, Section 1.3, 1.5, 1.7. Turn in 18c, 20e, 28.
• For Thursday, Sept 14, Section 1.8, 2.1, 2.2, start 2.3. Turn in Chapter 1: 33c and Chapter 2: 1, 3c
• For Thursday, Sept 21, Section 2.3, 2.5, part 2.8. Turn in 5(b), 26(a), 41(a).
• For Thursday, Sept 28, Section 2.8, 4.1. None to turn in because of the exam.
• For Thursday, Oct 5, Section 4.1, 4.2. Turn in 1b, 5c, 6d.
• For Thursday, Oct 12, Section 4.4, 5.1. Turn in Chap 4: 11c, this extra problem similar to Chap 5: 2.
• For Thursday, Oct 19, Section 5.2, 5.3, 9.3. Nothing to turn in.
• For Tuesday, Oct 31, Section 6.1, 6.2, 6.3, 5.10, 5.11. Turn in Chapter 5: 62, Chapter 6: 1, 17
• For Thursday, Nov 9, Section 6.4, 6.5, 6.6, 6.7, 6.8, 6.9. Turn in 35, 53 and show that if r x dr/dt is constant then r lies in a plane.
• For Thursday, Nov 16, Section 6.10, 6.11, 6.12. Turn in 60(a), 61(a), 68.
• For Thursday, Nov 30, Section 6.13, 6.15, 6.16. Turn in 70, 88, Problem 2 from Exam 2.

glickenstein@math.arizona.edu

Last updated December 5, 2006