## VCU Math 307: Syllabus.

It is recommended that you print this page to have a copy available for when you are not connected to the internet. Each problem set should be worked on as soon as we finish covering the corresponding section in class. For a list of problems from the First Edition of the book (now officially phased out) click here. However, it is highly recommended that everyone use the new Second Edition.

Chapter 9: Vectors and the Geometry of Space.

Sections 9.2 and 9.3:
9.2: # 1, 4, 11, 15, 17, 19, 21, 23; 9.3: #1, 3, 5, 11, 12, 15, 29, 31.

Sec. 9.4:
Problems: Odd ones from # 1-13, plus # 29, 30, 31, 33.

Sec. 9.5:
Problems: # 1, 5, 7, 17, 19, 21, 23, 29, 31, 33, 37.

Sections 9.6 and 9.7 will be covered later on (see below).

Chap.9 Review:
CONCEPT CHECK: # 1, 3, 4, 5, 8, 11, 15;
TRUE-FALSE QUIZ: # 1-12 (all);
EXERCISES: # 3, 6, 7, 12, 14, 16, 17, 19, 20, 24.

Answers/Hints/Solutions for selected problems in Chap.9

***.TEST #1 (Sec.s 9.2-9.5) ***

Chapter 10: Vector Functions.

Sec. 10.1:
Problems: Odd ones from # 1-15, plus 23, 26;
NOTE: For 23 and 26 use a graphing software such as the MPP or DPGraph.

Sec. 10.2:
Problems: Odd ones from # 5-21 and 27-35, plus 1, 43;

Sec. 10.3:
Problems: #1, 3, 9, 11, 15, 17, 19, 21, 25;

Sec. 10.4:
Problems: Odd ones from # 3-17, plus 18, 19, 20, 34;

Section 10.5 may be covered later if time permits.

Chap.10 Review:
CONCEPT CHECK: # 1-6 (all);
TRUE-FALSE QUIZ: # 1-6 (all);
EXERCISES: # 1, 2, 5, 6, 8, 9, 11, 13, 17, 18.

Answers/Hints/Solutions for selected problems in Chapter 10

.***.TEST #2 (Sec.s 10.1-10.4) ***

Chapter 11: Partial Derivatives.

Sections 11.1 and 9.6:
Problems: 9.6: # Odd ones from 1-13, plus 17, 23; 11.1: # 1, 3, 5, 9, 10, 11, 15, 19, 26, 37, 39, 43.

Sec.11.2:
Problems: #1, 5, 7, 9, 19.

Sec.11.3:
Problems: Odd ones from 13-39 and 47-57, plus 3, 61, 63, 73.

Sec.11.4:
Problems: #1, 3, 13, 17, 19, 21, 25, 31.

***.TEST #3 (Sec.s 9.6 and 11.1-11.4) ***

Sec.11.5:
Problems: Odd ones from 1- 15, plus 27, 31, 33.

Sec.11.6:
Problems: Odd ones from 1-29, plus 32, 35, 37.

Sec.11.7:
Problems: Odd ones from 1-9, plus 15, 31, 35, 40.

Sec.11.8:
Problems: Odd ones from 1-7, plus 2, 4, 19, 21, 29, 34.

Chap.11 Review:
CONCEPT CHECK: Odd ones from 1-17 plus 6, 8, 14, 16;
TRUE-FALSE QUIZ: # 1-9 odd, plus 2, 4, 10;
EXERCISES: # 5, 13, 17, 19, 21, 24, 25, 27, 36, 37, 38, 43, 44, 45, 47, 51, 53, 61.

Answers/Hints/Solutions for selected problems in Chap.11.

***.TEST #4 (Sec.s 11.5-11.8) ***

Chapter 12: Multiple Integrals.

Sec.12.1:
Problems: # 1 and 5.

Sec.12.2:
Problems: Odd ones from 1-17, plus 21, 23.

Sec.12.3:
Problems: Odd ones from 1-21 and 29-37, plus 41.

Sec.12.4:
Problems: Odd ones from 1-17, plus 24, 25, 27.

Sec.12.5:
Problems: Odd ones from 1-9, plus 10, 12.

***.TEST #5 (Sec.s 12.2-12.5) ***

Sec.12.7:
Problems: Odd ones from 1-9, plus 15, 33, 35, 45.

Sections 12.8 and 9.7:
Problems: 9.7: Odd ones from 3-13, plus 17, 18, 21, 23; 12.8: Odd ones from 1-9, plus 13, 15, 18, 23(a), 24, 25, 29.

Chap.12 Review:
CONCEPT CHECK: # 1, 2, 3, 4(a)-(c), 7, 8(a)-(c).
TRUE-FALSE QUIZ: # 1-5, odd.
EXERCISES: #1-25 (odd), 29, 31, 35(a,b), 37(a), 41, 42.

Answers/Hints/Solutions for selected problems in Chap.12.

Chapter 13: Vector Calculus.

Sec.13.1:
Problems: Odd ones from 1 - 25.
Note: All vector fields can be plotted using DPGraph/MPP.

Sec.13.2:
Problems: # 4, 5, 13, 15, 17, 31, 33.

Sec.13.3:
Problems: Odd ones from 1-15, plus 2, 19, 21, 23.

Sec.13.4:
Problems: # 1, 9, 13, 14, 17.

Sec.13.5:
Problems: # 1, 3, 5, 10, 11, 12, 13, 15, 17, 19, 20.

Additional sections in Chapter 13 (and Section 10.5) may be covered later if time permits.

Chap.13 Review:
CONCEPT CHECK: # 1-7 (all) plus 9, 10.
TRUE-FALSE QUIZ: # 1-6 (all) plus 8.
EXERCISES: #1(a), 4, 5, 6, 9, 10, 11, 13, 16, 17, 18, 19, 21.

Answers/Hints/Solutions for selected problems in Chap.13.

*** FINAL EXAMINATION (open-book) Tues. May 6, 1-3:50 pm***