# Math 20E: Vector Calculus

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## Homework Assignments

### Homework 0

Review: Not to be turned in (these topics were covered in Math 20C)
• Section 1.1:  (pg 21)  1, 7, 9, 15
• Section 1.2:  (pg 36)  3, 7, 10, 21
• Section 1.3:  (pg 61)  2b, 5, 11, 15a, 16b
• Section 1.4:  (pg 72)  1, 2b, 3b, 9
• Section 2.1:  (pg 105)  2b, 17, 25, 29
• Section 2.2:  (pg 125)  5c, 6c, 9c, 10b, 11a
• Section 2.4:  (pg 149)  1, 7, 9, 13, 15
• Section 2.6:  (pg 171)  4c, 5b, 6, 9, 15, 20
• Section 3.1:  (pg 191)  2, 7b, 15a, 19
• Section 4.1:  (pg 273)  1, 2, 6, 7, 11, 17
• Section 4.2:  (pg 281)  1, 6, 9, 12

### Homework 1

Before lecture on Friday:
• iClicker: Buy or borrow one to use for the semester.
iClicker 1 or 2 is fine, as long as you have exclusive use of it for the semester.
Bring your iClicker to class on Friday. More info on iClickers is in the first day handout.

• Review: Do some or all of the problems from HW 0, above. If any of the material there seems unfamiliar, please let me know.

Due Friday, April 6 by 3pm to HW dropobox in AP&M:

• Section 2.3:  (pg 139)   5, 7ab, 8d, 15, 16, 20

### Homework 2

Study for
• Quiz 1:  (Thu Apr 12 in discussion): Material from sections 2.3, 2.5, 3.2
Due Friday, April 13 by 3pm to HW dropobox in AP&M:
• Section 2.5:  (pg 159)  4, 8, 9, 15
• Section 3.2:  (pg 202)  1, 5
• Section 5.1:  (pg 325)  1a, 4
• Section 5.2:  (pg 339)  1d, 2bc
• Section 5.3:  (pg 347)  2ad, 6

### Homework 3

Due Friday, April 20 by 3pm to HW dropobox in AP&M:
• Section 5.4:  (pg 353)  1ab, 2b, 8
• Section 5.5:  (pg 363)  3, 11, 15
• Section 6.1:  (pg 375)  2, 3, 4

### Homework 4

Study for
• Quiz 2:  (Thu Apr 26 in discussion): Material from sections 5.1, 5.2, 5.3, 5.4, 5.5, 6.1, 6.2, 4.3
Due Friday, April 27 by 3pm to HW dropobox in AP&M:
• Section 6.2:  (pg 390)   1, 2, 11, 19
• Section 4.3:  (pg 293)   1, 5, 9, 14, 15
• Section 7.1:  (pg 427)   2ab, 3a, 14

### Homework 5

Due Friday, May 4 by 3pm to HW dropobox in AP&M:
• Section 7.2:  (pg 447)   1c, 2, 9, 14
• Section 7.3:  (pg 459)   2, 5, 13abc, 14
• Section 7.4:  (pg 471)   1, 2, 13, 19
Hint on Section 7.3, 14: How do you find a vector perpendicular to a level set?

### Homework 6

Study for
• Quiz 3:  (Thu May 10 in discussion): Material from sections 7.1, 7.2, 7.3, 7.4, 7.5
Due Friday, May 11 by 3pm to HW dropobox in AP&M:
• Section 7.5:  (pg 480)   1, 4, 7
• Section 7.6:  (pg 497)   1, 2, 3 (originally problem 5 was assigned instead of 2, but we aren't ready for that yet!)
Study for
• Midterm:  (Mon May 14): All material covered so far in course is eligible for the midterm (including section 7.6).
• The midterm will be held in our usual lecture room WLH 2005 at the usual time (10am).
• There will be multiple versions of the midterm. Looking at other students' papers during the test is still, obviously, considered cheating.
• You may bring one page of notes to the midterm. You may write on both sides of the page. You must prepare the notes yourself. The page may not be larger than a regular 8.5 x 11 inch sheet of paper.

### Homework 7

** You are encouraged to submit your homework early if you plan on attending the Sun God Festival **

Due Friday, May 18 by 3pm to HW dropobox in AP&M:
• Ch 7 Review Exercises:  (pg 514)   17ab, 20 (Hint: 17b is not as bad as it may first appear...)
• Section 8.1:  (pg 528)   1, 2, 3ab

### Homework 8

Study for
• Quiz 4:  (Thu Apr 26 in discussion): Material from Sections 7.6, 8.1.

One question on Quiz 4 will be very similar to problem 2b from the midterm (compute the flux of a vector field on the sphere). The spherical coordinate parametrization will be stated on the quiz, but you must know how to make use of it!
Due Friday, May 25 by 3pm to HW dropobox in AP&M:
• Section 4.4:  (pg 310)   1, 2, 3, 13, 14, 17, 18, 25 (Hint: For problem 25, use Theorem 1 on page 303)
• Section 8.1:  (pg 528)   5, 10, 14, 15

### Homework 9

Complete your CAPE for this course!
Due Friday, June 1 by 3pm to HW dropobox in AP&M:
• Section 4.4:  (pg 310)   26, 30acd
• Section 8.2:  (pg 547)   3, 5, 7, 25

### Homework 10

Complete your CAPE for this course!
Study for
• Quiz 5:  (Thu June 7 in discussion): Material from Sections 4.4, 8.2 and 8.3
Due Friday, June 8 by 3pm to HW dropobox in AP&M:
• Section 8.3:  (pg 558)   2, 3, 7, 12, 13abc
• Section 8.4:  (pg 573)   1, 2, 3, 23

### Final Exam

The final exam will be held Monday June 11th, 2012 from 8-11am in Mandeville Auditorium, near AP&M.

Things to bring to the final:

• An unmarked bluebook (available at the UCSD bookstore)
• Your UCSD ID - TAs will be checking IDs.