# 2017 Summer II Math 20E

Vector Calculus.

## Homework

### Updated 9/1/2017

Please observe the following guidelines for homework that you turn in to be graded; homework not conforming to these guidelines will not receive full credit and may not be graded at all. If you have any questions please ask the instructor or TAs during the office hours.
• You need to upload a PDF file or images of your homework to the corresponding assigment on Gradescope. You should already be invited to the course on Gradescope. If you have not got an account, create one and add this class using the Entry code MZ7489.
• You can type or write the homework in LaTeX, Word, OneNote, Notability, or any other note-taking softwares that can generate a PDF file or several image files, and this is preferred, then upload the PDF file or images. If you choose to write your homework on papers, you should use clean, white paper (preferably ruled), and scan clearly or take clear photos to upload.
• Write your name and PID number clearly on the front page of your completed assignment.
• Write clearly and legibly. Show your computation details, not just answers.
• On each page of PDF file or each image file, there should be solutions to problems from the same textbook sections. Clearly number each solution and present them in numerical order. You should indicate on each section to which pages or image files it refers when you submit your homework.

#### WebAssign Exercise Problems (not to be turned in)

There will be Exercise problems on WebAssign weekly. The problems are textbook problems with the numbers changed. Although highly recommended, it is not required to finish all the problems and has nothing to do with the overall grade. The class code is ucsd 4024 9098. The access to the class is free until Monday, August 21. You need to buy an access code if you want to use it after that.

Problems with a * means optional (not be graded).

#### Homework Assignment 1

Due Saturday August 12 at 11:59am.

Section 5.1:
1ab, 7, 8, 14
Section 5.2:
1d, 2c, 8, 9, 11, 17
Section 5.3:
4bcd, 9, 11, 13
Section 5.4:
3ab, 4ac, 6c, 7, 8, 14
Section 5.5:
6, 12, 17, 30
Section 6.1:
4, 5, 9, 11

#### Homework Assignment 2

Due Friday August 18 at 11:59pm.

Section 1.4:
3ab
Section 6.2:
3, 4, 5, 6, 11, 13, 15, 24, 26
Section 4.3:
4, 8, 9, 10, 12, 19
Section 7.1:
2, 4, 6, 7, 12, 29*
Midterm Exam 1 (Thursday, August 17) covers Sections 5.1-5.5, 6.1, 1.4, 6.2, 4.3 and 7.1.
Practice Midterm 1 with solutions, whose difficulty level and the type of problems is similar to those of the Midterm 1.

#### Homework Assignment 3

Due Saturday August 26 at 11:59pm.

Section 7.2:
3bc, 4abcd, 9, 11, 13, 17
Section 7.3:
1, 2, 4, 7, 9, 13, 19
Section 7.4:
1, 5, 9, 11, 14, 15, 24
Section 7.5:
1, 5, 6, 8, 12, 15, 19

#### Homework Assignment 4

Due Saturday September 2 at 11:59pm.

Section 7.6:
1, 2, 4, 5, 9*, 11*, 12*, 15*
Section 8.1:
6, 7, 9, 13, 17, 24, 26*
Section 4.4:
16, 19, 34, 39
Section 8.2:
8, 11, 13, 15, 19
Midterm Exam 2 (Thursday, August 31) covers Sections 4.3, 4.4, 5.1-5.5, 6.1, 6.2, 7.1-7.6, 8.1 and 8.2; with an emphasis on 4.4, 7.2-7.6, 8.1 and 8.2.
Practice Midterm 2 with solutions, whose difficulty level and the type of problems is similar to those of the Midterm 2.

#### Homework Assignment 5

Due Friday September 8 at 11:59pm.

Section 4.4:
1, 11, 24, 25, 36, 38
Section 8.4:
5, 7, 11, 14, 16, 19, 29
Section 8.3:
2, 3, 6, 7, 10, 13, 16, 17
The Final Examination (3:00 - 6:00pm Friday, September 8) is cumulative and covers Sections 1.4, 4.3, 4.4, 5.1 - 5.5, 6.1, 6.2, 7.1 - 7.6, and 8.1 - 8.4

Sample problems for the final exam:
Sample 1 (credit to John Eggers):
1, 2, 3, 4, 5, 6, 7
Sample 2 (credit to an anonymous professor):
2, 3, 4, 5, 6, 7, 8
Sample 3 (credit to Daniel J Hoff):
3, 4, 5, 6 with solutions
Sample 4 (credit to Daniel J Hoff):
1, 2, 3, 4, 7bcde with solutions
Sample 5 (credit to Daniel J Hoff):
1b, 3, 4 with solutions
More practice problems and notes: Paul's Online Math Notes - Calculus III (Math 3435): Multiple Integrals, Line Integrals and Surface Integrals; Different Kinds of Integrals by Daniel J Hoff; Formula Sheet by John Eggers; Vector Identities.

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