Final exam times can be looked up here. The one for Section 001 is Friday, May 2 at 9am, and the one for Section 003 is Friday, May 2 at 4pm. Professor: Peter J. Nyikos
Prof. Nyikos's Office: LeConte 406. Phone: 7-5134
Email: nyikos @ math.sc.edu
Special office hours for exam week:
Tuesday, April 29: 9-11:30 and 12:30 - 4:00
Wednesday, April 30: 10-11:30 and 12:30 - 4:00
Thursday, May 1: 9:30 - 12:30 and 2:30 - 4:00
Friday, May 2: 12:30 - 1:30 and 2:15 - 3:45
The second hour test was on Wednesday, March 26, on Sections 14.3, 14.4 (optional: it has a forumula for something that can also be found using gradients) 14.6, 14.7 and 15.2.
The third hour test in section 001 was on Wednesday, April 16, and the one in 003 was on Friday, April 18. It was on sections 15.3, 15.4, 15.6, 15.7 and 15.8.
The textbook for this course is Calculus: Early Transcendentals by James Stewart, 6th edition. This is the same textbook you have been using for the earier semesters. You do not need a special edition for vector calculus nor any expensive website access package.
The course covers the following sections of the textbook:
Learning Outcomes: Students will master concepts and solve problems based upon the topics covered in the course, including the following: vectors and basic operations on them, including dot and cross products; vector-valued functions and their integration and differentiation; functions of several variables and their maximization, differentiation and integration; vector fields; line and path integrals; Green's theorem.
The most emphasis will be on Chapters 14 and 15. Incidentally, the material in 13.3 is covered more thoroughly in Math 550 and/or Math 551, while the Chapter 16 material is covered very thoroughly in Math 550.
Only simple calculators (available for $20 or less)
are needed for this course, and they will
be needed only a small fraction of the time, outside of class.
Neither the quizzes, nor the hour tests, nor the
final exam will require their use, although they may save some
time on a few problems. Programmable calculators are not
permitted for quizzes, hour tests, or the final exam.
Further information on policies and grading can be found by clicking here.
The first quiz was on Wednesday, January 22, on spheres.
The second quiz was on Friday, February 28, on partial derivatives
The third quiz was on Friday, March 21, on double integrals.
The fourth quiz was on Friday, March 28, on Section 15.3.
The fifth quiz was on Friday, April 4, on Section 15.4.
The sixth quiz was on Friday, April 11 for 001 and
Monday, April 14 for 003, on Section 15.4.
Homework for Friday, January 31:
Section 12.2, numbers 20, 22
Section 12.3, numbers 6, 20 (cosine only), 38
Section 12.4, numbers 6, 30, 34
Homework for Monday, February 10
Section 12.5, numbers 8, 10, 24, 34
Section 13.1, numbers 4 and 8
Homework for Friday, March 7:
Section 14.3, numbers 18, 30, 52, 62
Section 14.6, numbers 10, 12, 24, 44
Homework for Wednesday, April 23 [postponed from Monday]:
Section 15.3, number 22
Section 15.4, number 12
Section 15.5, number 6
Section 15.7, number 20
Section 15.8, number 24
Homework for Friday, April 25 [postponed from Wednesday]:
Section 16.1, number 24
Section 16.2, numbers 2 and 22
Practice problems, not to be handed in:
From Chapter 12:
12.1 numbers 1, 3, 7, 11, 13, 15
12.2 numbers 3, 5(a), 13, 15, 19, 21
12.3 numbers 5, 7, and cosines in 17, 31; 37
12.4 numbers 1, 5, 13, 27, 33
12.5 numbers 3, 5, 7, 23, 29, 31, parts of 33 and 35 (whose first steps were part of the lecture)
From Chapter 13:
13.1 numbers 5, 7, 17, 19-24
13.2 numbers 9, 19, and 21
13.3 numbers 1 and 3 [Originally, the following on curvature were recommended:
17, 21, 25, 43; these are good for understanding curvature but are not needed
for now.]
13.4, numbers 3, 9, 11, 17
From Chapter 14:
14.1 [for purposes of orientation only] 11, 15, 31, 39, 55 through 60
14.3 numbers 15, 17, 29, 39, 51, 53
14.6 numbers 9, 11, 13, 21, 23, 41, 43
14.7 numbers 5, 11
From Chapter 15:
15.1 [for purposes of orientation only] 5, 9, 13
15.2 numbers 1, 3, 13, 19
15.3 numbers 1,3, 11, 19, 39, 43, 45, 47
Review problems on polar coordinates from 10.3:
1 (plot only) 3, 5, 7, 9, 15, 17, 21, 23, 25
15.4 numbers 1,3, 5, 7, 11, 19
15.5 numbers 1,3, 5, 11
15.6 numbers 1,3, 5, 7, 11, 37
15.7 numbers 1, 3, 9, 17, 19, 21
15.8 numbers 1,3, 17, 19, 23, 27
Practice problems from Chapter 16, not to be handed in:
16.1 numbers 11-14, 15-18 for orientation only; and 21, 23
16.2 numbers 1, 5, 19.
16.3 numbers 3, 5, 15, 19.
16.4 numbers 5, 9.
The Student Success Center runs a free, drop-in, group tutoring service for 100-level classes. However, these centers are now also offering tutoring for multiple subjects. More information, including schedules, can be found at www.sa.sc.edu/ssc/peertutoring.
New this year is the addition of online tutoring through the Student Success Center. Students can find more information at http://www.sa.sc.edu/ssc/virtual/.
If you can't quite get the solution but have some ideas, hand them in for partial credit. I will keep adding to your score as you improve your work on it.
To get full credit, it is not enough to get the correct answer. You need to get it in such a way that someone who has not seen the problem before can tell that you did, indeed, get the right answer.
1. Section 12.4, number 46 [up to 8 points]
2. Section 12.5, number 56 [up to 8 points]
3. Section 13.4, number 30 [up to 10 points]
4. 40, page 900 [6 points]
5. 38, page 908 [8 points]
6. 32, page 931 [8 points]
7. 6, page 940 [8 points]
8. 6, page 1020 [5 points]
9. 12, page 1020 [10 points]
10. 36, page 1045 [12 points]
11. 20, page 1054 [5 points]
12. 20, just find area enclosed, page 1061 [5 points]