Math 20E: Vector Calculus Home Syllabus Homework Calendar

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

(pg 21) 1, 7, 9, 15 Section 1.2: (pg 36) 3, 7, 10, 21

(pg 36) 3, 7, 10, 21 Section 1.3: (pg 61) 2b, 5, 11, 15a, 16b

(pg 61) 2b, 5, 11, 15a, 16b Section 1.4: (pg 72) 1, 2b, 3b, 9

(pg 72) 1, 2b, 3b, 9 Section 2.1: (pg 105) 2b, 17, 25, 29

(pg 105) 2b, 17, 25, 29 Section 2.2: (pg 125) 5c, 6c, 9c, 10b, 11a

(pg 125) 5c, 6c, 9c, 10b, 11a Section 2.4: (pg 149) 1, 7, 9, 13, 15

(pg 149) 1, 7, 9, 13, 15 Section 2.6: (pg 171) 4c, 5b, 6, 9, 15, 20

(pg 171) 4c, 5b, 6, 9, 15, 20 Section 3.1: (pg 191) 2, 7b, 15a, 19

(pg 191) 2, 7b, 15a, 19 Section 4.1: (pg 273) 1, 2, 6, 7, 11, 17

(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.

Register your clicker online by clicking here. Use your PID for your Student ID (e.g. A123345678).

Bring your iClicker to class on Friday. More info on iClickers is in the first day handout.

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. Register your clicker online by clicking here. Use your PID for your Student ID (e.g. A123345678). 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

(pg 159) 4, 8, 9, 15 Section 3.2: (pg 202) 1, 5

(pg 202) 1, 5 Section 5.1: (pg 325) 1a, 4

(pg 325) 1a, 4 Section 5.2: (pg 339) 1d, 2bc

(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

(pg 353) 1ab, 2b, 8 Section 5.5: (pg 363) 3, 11, 15

(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

(pg 390) 1, 2, 11, 19 Section 4.3: (pg 293) 1, 5, 9, 14, 15

(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

(pg 447) 1c, 2, 9, 14 Section 7.3: (pg 459) 2, 5, 13abc, 14

(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

(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).

(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...)

(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)

(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! You should receive an email from the CAPE program with a link and additional instructions. Due Friday, June 1 by 3pm to HW dropobox in AP&M: Section 4.4: (pg 310) 26, 30acd

(pg 310) 26, 30acd Section 8.2: (pg 547) 3, 5, 7, 25

Homework 10

Complete your CAPE for this course! You should receive an email from the CAPE program with a link and additional instructions. 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

(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.

- TAs will be checking IDs. One page of notes (more info below)

Pens or pencils

The final is cumulative and will cover all material in the course. There will be an emphasis on material covered since the midterm (i.e. Chapter 8) but note that all the main concepts require material covered earlier in the quarter. Hence, you should study all the material.

*** Section 8.5 was not discussed and will not be on the final.

*** Section 8.6 will not be on the final, however, the ideas presented during lecture on Wed June 6 will hopefully help organize your understanding of Chapter 8

(e.g. curl(grad f)=0, div(curl F)=0, the boundary of a boundary is empty, etc).

(e.g. curl(grad f)=0, div(curl F)=0, the boundary of a boundary is empty, etc). You may bring one page of notes to the final. 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.