HW #

Homework problems

Due date



Cumulative Final Exam on Thursday, May 14th, 2020.
The exam will take place at 7:309:30am in the usual way through UNM Learn. 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 10 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.

May 7th, 2020, class time.

1314

Quiz10 on Tuesday, May 5th (Solution published). Topic: Flux transport theorem.
DS Section 5.3, p.290: 4, 7;
DS Section 5.4, p.294: 5, 6, 7, 8, 9, 10, 12.

May 7th, 2020, class time.

1112

Quiz09 on Thursday, April 30th (Solution published). Topic: Stoke's theorem.
DS Section 4.10, p. 271: 1, 2, 3;
DS Section 5.2, p. 284: 1, 2, 5, 6, 8(a).

April 30th, 2020, class time.



Exam 2 on Thursday, April 23rd (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

Quiz06 on Thursday, April 16th (Solution published). Topic: Surface integrals (do the HW problems in DS 4.7!).
Quiz07 on Tuesday, April 21st (Solution published). Topic: Volume integrals (do the HW problems in DS 4.8!).
Quiz08 on Tuesday, April 21st (Solution published). Topic: GaussOstrogradsky (divergence) theorem (do the HW problems in DS 4.9!).
DS Section 4.7, p. 246: 2(c,d,g), 3, 4, 5, 11, 12, 14, 15, 16, 20, 21;
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;
DS Section 5.1, p. 277: 6, 7, 8, 9, 10.

April 21st, 2020, class time.

69

Quiz05 on Thursday, April 2nd 7th (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;
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.

April 7th, 2020, 5 pm.



Exam 1 on Thursday, March 5th (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 Tuesday, March 3nd (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.

March 3nd, 2020, class time.

4

Quiz03 on Tuesday, February 25th (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.

February 25th, 2020, class time.

3

Quiz02 on Thursday, February 20th (Solution published). Topics: Dot Product, Cross product. Equations of planes.
DS Section 1.15 (extra), p. 66: 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.

February 11 13th, 2020, class time.

2

Quiz01 on Tuesday, February 13th (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.

February 4th, 2020, 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.

January 28th, 2020, class time.

