CALCULUS AND
ANALYTIC GEOMETRY IV
(15-MATH-264-001)
Autumn, 2007
Class Room and Class
Times: Room 801 of the
on Monday, Tuesday, Wednesday, Thursday, and Friday at 8:00-8:50 a.m.
From Wednesday, September 19th through Friday, November 30th and the Final Examination of Friday, December 7th. The exception is November 23rd (Thanksgiving Holiday).
Teacher: Roger Chalkley
Office: Room 822A,
Phone: (513) 556-4074
Office Hours: 9:00-9:50 a.m. on Mondays, Tuesdays, Wednesdays, and Fridays
Textbook: James Stewart, Calculus Concepts and Contexts, 3rd, Thomson Brooks/Cole Publishing Company, 2005.
Syllabus: The syllabus is on the next page and
contains a short list of suggested homework problems. Other problems in the textbook will also
receive attention.
Testing and Grading Policy: There will be three 50-minute examinations and a 2-hour final examination.
Each 50-minute exam will be graded on a basis of 100 points and will count as 1/5 of your final grade.
The final examination will be graded on a basis of 100 points and will count as 2/5 of your final grade.
Please use examination booklets (so-called “bluebooks”; either the large size or the small size) for each of the examinations. The various bookstores have them.
Test
1 Friday, October 5th at
8:00-8:50 a.m.
Test
2 Friday, October 26th
at 8:00-8:50 a.m.
Test
3 Friday, November 16th
at 8:00-8:50 a.m.
Final Exam Friday, December 7th at 8:00-10:00 a.m. (in Room 801 Old Chemistry)
Partial credit on tests is awarded only for work that is mostly correct except for one on two minor errors. You will not be given partial credit for attempting to solve a problem by an incorrect method. You must show your work on the tests. A correct answer without the accompanying correct work will receive no credit; an incorrect final answer accompanied by mostly correct work will receive substantial credit. Also,
it is your responsibility to arrange your work in a logical manner and to write legibly. Remember, when your paper is graded, the grade is based on the work shown, not what was intended or implied. The use of pocket calculators, cell phones, and other such aids is prohibited during examinations.
____________________________________
The Mathematics Learning Center (MLC), located
in the
Students can get help at the MLC for all basic
mathematics courses through Differential Equations including Statistics and
Business Mathematics courses. In this
regard, visit
http://math.uc.edu/mathlearningcenter/index.html
The MLC can be a valuable supplement.
_______________________________
Section Title Suggested Homework Problems
11.1 Functions of Several Variables 5, 7, 10, 12, 13, 15, 31-36
11.2 Limits and Continuity 5-17 odd, 25-31 odd
11.3 Partial Derivatives 13-37 odd, 45-59 odd
11.4 Tangent Planes and Linear Approx. 1, 3, 9, 11, 19, 21, 25, 39, 40
11.5 The Chain Rule 1, 3, 5, 7, 13, 15, 17, 19, 23, 41
11.6 Directional Derivatives and etc. 1, 2, 5-15 odd, 19, 21, 35, 37, 43, 45
11.7 Maximum and Minimum Values 1, 2, 3, 4, 5-15 odd, 25, 27, 29, 33, 35, 39
11.8 Lagrange Multipliers 3-17 odd, 39
12.1 Double Integrals over Rectangles 3, 9, 11, 13
12.2 Iterated Integrals 1-17 odd, 21, 25, 27
12.3 Double Integrals over etc. 1-21 odd, 33-43 odd
12.4 Double Integrals in Polar etc. 1-15 odd, 19, 25, 27
12.5 Applications of Double Integrals 3, 5, 9, 12,13
12.6 Surface Area 1, 3, 5, 7, 9, 11
12.7 Triple Integrals 1-19 odd
12.8 Triple Integrals in etc. 1, 3, 5, 7, 9, 17, 19, 21
12.9 Change of Variables in etc. 1-15 odd, 19, 21
13.1 Vector Fields 11-18, 21, 23, 25
13.2 Line Integrals 1-13 odd, 17, 19, 35
13.3 The Fundamental Theorem for etc. 3-21 odd, 29, 31
13.4 Green’s Theorem 1, 3, 7-17 odd
13.5 Curl and Divergence 1-19 odd, 20
13.6 Surface Integrals 5, 9, 13, 19, 21, 23
13.7 Stokes’ Theorem 1-9 odd, 13, 15
13.8 The Divergence Theorem 1-13 odd