HW #

Homework problems

Due date



Cumulative Final Exam on Thursday, December 13th, 2018.
The exam will take place on Thursday, December 13th, at 7:309:30am in the usual classroom. One page (two sides) of formulae is allowed. Calculators are prohibited.
Training set of problems (don't forget about other problems in the corresponding HWs and Schaum):
1) DS 2.2, p. 85: 5; DS 2.3, p. 96: 5, 6;
2) DS 3.8, p. 150: 10; DS Section 3.10, p.170: 6, 8(a,b), 11, 12.
3) DS 4.4, p. 212: 9(a,b);
4) DS 4.5, p. 222: 9(a,b,c);
5) DS 4.7, p. 246: 2(c,d,g), 16;
6) DS 4.8, p. 256: 6;
7) DS 4.9, p. 262: 3(a,b), 5, 6;
8) DS 4.9, p. 263: 9, 10, 11;
9) DS 4.10, p. 271: 1, 2, 3;
10) DS 5.2, p. 284: 1, 2, 5, 6, 8 (a).

Solutions of some selected HWs problems:
23,
23sols_p1,
23sols_p2,
24,
24probs,
25,
25probs,
26,
26probs,
27.
HW_14.

15

Pictures for section 5.5 and some of the Shaum's problems.
Because many students have Second edition of Shaum book, all problem were scanned from the first edition.
Additional problems from Schaum (for 8 Extra Credit points, submit separately from HWs):
Schaum, p.132 (Scan of the problems): 40, 41, 42;
Schaum, p.133 (Scan of the problems): 52, 54;
Schaum, p.134 (Scan of the problems): 63, 64, 65, 66, 72, 74.

December 4th 6th, 2018, class time.

1314

Quiz10 on Tuesday, December 4th (Solution published). Topic: Flux transport theorem.
This HW is 8 extra credit points as well.
DS Section 5.3, p.290: 4, 7;
DS Section 5.4, p.294: 5, 6, 7, 8, 9, 10, 12.

December 6th, 2018, class time.

1112

Quiz09 on Thursday, November 29th (Solution published). Topic: Stoke's theorem.
DS Section 4.10, p. 271: 1, 2, 3;
DS Section 5.1, p. 277: 6, 7, 8, 9, 10;
DS Section 5.2, p. 284: 1, 2, 5, 6, 8(a).

December 4th, 2018, class time.



Exam 2 on Tuesday, November 13th November 15th. (Solution published). Topics: everything covered since Exam 1, before 4.10.
As usual, no calculators or books allowed. You can prepare a page (ONE side) of reference of any formulae etc. you like.
Training set of problems for Exam 2:
DS 3.10, p. 170: 8(a,b);
DS 4.1, p. 190: 6, 13;
DS 4.4, p. 212: 9(a,b);
DS 4.5, p. 222: 9(a,b,c);
DS 4.6, p.236: 5;
DS 4.7, p. 246: 2(c,d,g), 16;
DS 4.8, p. 256: 6;
DS 4.9, p. 262: 5, 7, 9.

Solutions of some selected HWs problems:
11a,
11b,
12a,
12b,
14,
15,
16,
18,
19,
21,
22a.

10

Quiz07 on Tuesday, November 6th (Solution published). Topic: Volume integrals (do the HW problems during the weekend!).
Quiz08 on Thursday, November 8th (Solution published). Topic: GaussOstrogradsky (divergence) theorem.
DS Section 4.8, p. 256: 3, 5, 6;
DS Section 4.9, p. 262: 3(a,b), 5, 7, 8, 9, 10, 11, 12, 13, 14, 16, 17.

November 8th, 2018, class time.

89

Quiz06 on Tuesday, November 1st (Solution published). Topic: Surface integrals.
DS Section 3.10, p.170: 1, 2, 4, 6, 8(a,b), 11, 12;
DS Section 3.11, p.181: 12;
DS Section 4.6, p.236: 1, 2, 3, 4, 5, 6;
DS Section 4.7, p. 246: 2(c,d,g), 3, 4, 5, 11, 12, 14, 15, 16, 20, 21.

November 1st, 2018, class time.

67

Quiz05 on Thursday, October 18th (Solution published). Topic: Line integrals.
DS Section 4.1, p. 190: 5, 6, 7, 8, 9, 10, 13;
DS Section 4.2, p. 196: 2, 4, 5, 6, 8, 10;
DS Section 4.3, p. 204: 2(a,b,c,d,e), 4, 5, 6, 7;
DS Section 4.4, p. 212: 1(a,b,c,d,e), 3, 8, 9(a,b), 10;
DS Section 4.5, p. 222: 2, 4, 9(a,b,c), 10.

October 18th, 2018, class time.



Exam 1 on Tuesday, October 2nd (Solution published). Topics: all covered material.
As usual, no calculators or books allowed. You can prepare a page (one side) of reference of any formulae you like. No problems solutions.
You will need to submit this page with your work.
Training set of problems for Exam1:
DS 2.2, p. 85: 5;
DS 2.3, p. 96: 5, 6;
DS 3.1, p. 113: 20;
DS 3.3, p. 124: 4;
DS 3.4, p. 132: 10;
DS 3.6, p. 140: 4, 6;
DS 3.8, p. 150: 10.

Solutions of some selected HWs problems (will be published before the Exam1):
1,
2,
3,
4,
4b,
5,
6,
7,
8,
8b,
9.

5

Quiz04 on Thursday, September 27th (Solution published). Topic: directional derivative and gradient.
Additional reading: Derivation of vector identities using tensor notation.
DS Section 3.3, p. 124: 4, 5, 6, 8;
DS Section 3.4, p. 132: 1, 2, 3, 4, 9, 10;
DS Section 3.6, p. 140: 4, 5, 6;
DS Section 3.8, p. 150: 6, 9, 10(a,b,e,g,h,i), 11, 12.

October 2nd, 2018, class time.

4

Quiz03 on Tuesday, September 18th (Solution published). Topics: Space curves, velocities, tangents, arc length.
DS Section 2.3, p. 95: 1, 3, 4, 5, 6, 10, 13, 14, 15(abcdefghi), 17;
DS Section 3.1, p. 112: 1, 2, 3, 9, 10, 13, 14, 20, 24;
DS Section 3.2, p. 117: 2, 3.

September 25th, 2018, class time.

3

Quiz02 on Thursday, September 13th (Solution published). Topics: Dot Product, Cross product. Equations of planes.
DS Section 1.15: 1, 2, 3;
DS Section 2.1, p. 70: 1, 2, 3;
DS Section 2.2, p. 85: 1, 2, 3, 5, 7, 9, 11, 13, 15.

Spetember 18th, 2018, class time.

2

Quiz01 on Tuesday, September 4th (Solution published). Topic: Equations of a line and a plane.
DS Section 1.9, p. 34: 3, 4, 11, 13;
DS Section 1.10, p. 38: 1, 2, 3, 4, 13, 14;
DS Section 1.12, p. 51: 2, 3, 5, 11, 19, 20, 21, 23, 24, 26, 27;
DS Section 1.13, p. 57: 2, 3, 6, 7;
DS Section 1.14, p. 60: 6, 7, 11.

September 11th, 2018, class time.

1

DS Section 1.5, p. 14: 4, 5, 9, 12, 13, 16;
DS Section 1.7, p. 23: 1, 2, 5, 1324;
DS Section 1.8, p. 28: 1, 3, 8, 9, 10, 18.

August 28th, 2018, class time.

