VCU Math 307: Syllabus.

NOTE: This page refers to the second (or new) edition of the textbook. If you have the first edition, please click here.

For quick help with problems, do not hesitate to send email (click the link at the bottom of the page). It is also 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 improved comprehension and long term preparation for the Final Exam, doing Chapter Reveiw problems is highly recommended after the completion of each chapter.

For many of the problems that are assigned below, either a hint/answer, or a solution is provided. To see it, click "hints/answers/solutions" in each chapter listing. Answers to most odd numbered problems, of course, appear at the end of the textbook.

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 are 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.

QUIZ # 1: Sections 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, 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 (see below)

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.

QUIZ # 2: Sections 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.

QUIZ # 3: Sections 11.1-11.4 and 9.6

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.

QUIZ # 4: Sections 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.

QUIZ # 5: Sections 12.1-12.4

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

Section 12.6: (optional) - Problems: 1, 3, 5;

Sec.12.7:
Problems: Odd ones from 1-9, plus 15, 23, 24, 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.

QUIZ # 6: Sections 12.5, 12.7, 12.8 and 9.7

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, 17, 19, 23, 29.

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

Chap.13 Review:
CONCEPT CHECK: # 1-7 (all).
TRUE-FALSE QUIZ: # 1, 2, 4, 5, 8.
EXERCISES: #1(a), 4, 5, 6, 9, 10, 11, 13, 16, 17, 21.

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

*** FINAL EXAMINATION (comprehensive) ***

E-MAIL