CALCULUS IV
(15-MATH-264-001)
Winter, 2006
Class Room and Class Times: Room 311 of Zimmer Hall
on Monday, Tuesday, Wednesday, Thursday, and Friday at 11:00-11:50 a.m.
From Tuesday, January 3 through Friday, March 10, 2006 (and the Final Examination on March 13th) with the exception of Monday, January 16th (Martin-Luther-King Day).
Teacher: Roger Chalkley
Office: Room 822A, Old Chemistry Building
Phone: (513) 556-4074
Office Hours: 12:00-12:50 a.m. on Monday, Wednesday, and Friday
1:45- 2:30 p.m. on Tuesday and Thursday
Textbook: James Stewart, Calculus Concepts and Contexts, 2nd Ed., Brooks/Cole Publishing Company, 2001.
Syllabus: Chapters 11, 12, and 13.
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.
Each examination will be given in our classroom (Room 311, Zimmer Hall).
Test 1 Friday, January 20th, 11:00 - 11:50 a.m.
Test 2
Friday, February 10th, 11:00 - 11:50 a.m.
Test 3 Friday, March 3rd, 11:00 - 11:50 a.m.
Final Exam Monday, March 13th, 1:30 - 3:30 p.m.
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. Please bring and use Examination Booklets (i.e. Blue Books) for each of the examinations. The use of pocket calculators is prohibited.
Withdrawal Policy: Wednesday, March 1st, before 12:00 noon, is the latest that a grade of W (withdrawal with passing status) can be awarded.
The Mathematics Learning Center (MLC) can provide help (beginning January 9th).
It is located in Room 614 of the Old Chemistry Building.
You may seek help there on Monday at 9:00-6:30 p.m.; on Tuesday, Wednesday, Thursday
at 9:00-8:00 p.m.; on Friday at 9:00-3:00 p.m.; and on Saturday at 1:00-3:00 p.m.
(As a mathematics class below the 500-level, this course is categorized as QR (quantitative reasoning)
and, of the four competencies, it fits under Critical Thinking.)
Section Title Suggested
Homework Problems
11.1 Functions of Several Variables
5-12, 15, 17, 19, 21, 31-36.
11.2
Limits and Continuity
.
..
5-17 odd, 21, 25-31 odd
11.3
Partial Derivatives
13-37 odd, 45-57 odd
11.4 Tangent Planes and
Linear Approximations . 1, 3, 9, 11, 19, 21, 25, 39-40
11.5 The Chain Rule
1, 3, 5, 7, 15, 17, 21, 23,
25, 39
11.6
Directional Derivatives and etc.
. 1, 2, 5-15 odd, 16, 19, 21, 35, 37,
43, 45,
11.7 Maximum and Minimum
Values .. 1, 2, 3, 4, 5-13 odd, 23, 25, 27, 31, 33, 37
11.8
Lagrange Multipliers
3-17 odd, 37,
12.1 Double Integrals over
Rectangles
...
3, 9, 11, 13
12.2 Iterated Integrals
.. 1-19 odd, 23, 25, 29
12.3
Double Integrals over etc.
..,
..... 1-21 odd, 29-39 odd, 43,
44
12.4
Double Integrals in Polar
Coordinates
1-15 odd, 19, 25, 27
12.5
Applications of Double
Integrals
. 3, 5, 9, 10, 11, 13
12.6 Surface Area
..
1, 3, 5, 7, 9,
11,
12.7 Triple Integrals
. 1-17 odd
12.8 Triple Integrals in
etc.
.. 1, 3, 5, 7, 9, 15, 17,
19
12.9
Change of Variables in etc.
... 1-15 odd, 19, 20
13.1
Vector Fields
..
11-18, 21, 23, 25
13.2
Line Integrals
. 1-11 odd, 15, 17, 33
13.3
The Fundamental Theorem for etc.
. 3-23 odd, 29, 31
13.4
Greens Theorem
1,
3, 7-13 odd, 17
13.5
Curl and Divergence
. 1-15 odd, 19, 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,