(except 8.2).
Midterm: Wednesday, April 2, 6-8pm, LGRT0206
Midterm practice problems
Hints for practice problems
Some Homework Solutions (password protecteed zip
file).
Teacher: Roman Fedorov.
The website: www.math.umass.edu/~fedorov/425.
Office hours
- Monday, 1:30 - 2:45
- Wednesday, 2:45 - 4
- Also by appointment
How and where to find me
- Office phone: (413)545-0984
- E-mail: fedorov at math.umass.edu. Note: e-mail is not
100% reliable. If you do not receive reply from me, please
re-send your e-mail in a couple of business days.
- Mailbox: 16th floor of LGRT.
- Office: LGRT 1120.
Grading
- Midterm: 1/3
- Final exam: 1/3
- Quizzes and homework: 1/3
Exams
We shall have a single evening midterm (will be scheduled soon).
The final exam covering the entire semester's work
will be scheduled possibly as late as Thursday, May 22.
If you need special accomodations or a makeup for a midterm or the final you
have to contact me at least a week in advance.
Homework policy
Homework will be assigned once a week, it will be due in a week.
No late homework, please. In extreme circumstances a missed homework
can be excused (which means you are evaluated on the basis of remaining
homeworks). The lowest score will be dropped.
Texts
Multivariable Mathematics by Theodore Shifrin (required). Vector
Calculus by Marsden and Tromba (optional).
Syllabus
We shall try to cover Chapters 1, 2, 3, 4, 7 and 8 of the Shifrin's book.
Homework
| Assigned: Fri, Feb 1
|
| Due: Fri, Feb 8
|
- 1.1: 1, 4, 9(a), 10, 12(a, c, f, g).
- 1.2: 1(a, b), 5, 11, 15, 17.
- 1.3: 3, 5, 6
| Assigned: Fri, Feb 8
|
| Due: Fri, Feb 15
|
- Reading: 1.1-1.4.
- 1.3: 7, 9, 12.
- 1.4: 1(a,c,d,e,i,j), 5(c,d,f), 6, 14(b), 15, 20.
| Assigned: Sat, Feb 16
|
| Due: Fri, Feb 22
|
- Reading: Chapter 2.
- 2.1: 1(c,d), 9.
- 2.2: 2, 4 (Hint: Use problem 2), 7.
- 2.3: 5, 8, 14.
| Assigned: Sun, Feb 24
|
| Due: Fri, Feb 29
|
Homework 5
| Assigned: Sun, Mar 2
|
| Due: Mon, Mar 10
|
- Reading: 3.3, 3.4.
- 3.2: 18
- 3.3: 3, 4, 11 (another hint: calculate h'(t)), 12, 13.
- 3.4: 2(a,d)
Hints for homework 6 (pdf file)
The solutions for the problems from the book.
Homework 7
| Assigned: Fri, Mar 14
|
Due: Fri, Mar 28
- Reading: 4.5, 6.3
- 4.5: 1, 2, 5, 7.
- 6.2: 3(a,c)
- 6.3: 2, 3, 4, 5(b,d), 7(b,f).
- Solutions.
|
| Assigned: Mon, Apr 07
|
Due: Mon, Apr 14
- Reading: Chapter 7
- 7.2: 1(d), 12(b,c), 26.
- 7.5: 1(c), 12.
- 7.6: 4(b), 6, 11, 15.
|
| Assigned: Mon, Apr 18
|
Due: Mon, Apr 25
- 8.3: 1, 3, 4.
- 8.4: 1c, 9b, 11, 16.
|
| Assigned: Mon, Apr 28
|
Due: Mon, May 5
- 8.2: 4(a,b,c), 6(a,b,c).
- 8.5: 7, 9.
|
| Assigned: Tu, May 6
|
Due: Mon, May 12
- 8.2: 4(d,e), 6(c,d), 8(a,c,d,g), 11, In parts (f) and (g)
calculate the integral of ω over the IMAGE of g.
|