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MATHEMATICS 265H

HONORS CALCULUS III

Instructor: Howard A. Levine, Department of Mathematics, 410 Carver

Office Hours: MTWThF 9:00-9:50 or by appointment

Textbook: Calculus (early vectors) by Stewart

Course Objectives

Course Rules

1. Grading: There will be three hour exams at 100 points each and one final exam at 200 points. Thus the grade will be based on a total of 500 points. The grading scale is as follows: Greater than 90%, A, A-; [80%,90%], B- ,B, B+; [65%, 80%), C-,C, C+; [55%,65%), D+, D. Any percentage less than 55% is an F.

PLEASE NOTE: There will be no make up examinations. You will be allowed to drop one of the three hour examinations only under the one following circumstances:

a. You have a medical condition for which you agree to supply me with a note from a physician and a phone number for that physician which I will use to verify that the note is indeed as alleged.

b. You bring me a note (and phone number) from a priest, pastor, rabbi, mullah, drill instructor, or other official as might arise in the case of a death in the family, a National Guard commitment or a traffic accident for example. You are expected to arrange your work hours around your class time, not vice-versa.

c. You bring to my attention some other reason which meets with my approval, BEFORE the examination date in question. An example might be your participation in an official university function which would require you to be out of town.

2. Homework notebook. I will not pick up routine homework problems. I expect the students to do the routine practice problems on their own. (See the syllabus below.) I will not collect them.

However, all of the problems on the hour exams will be of the type found among these practice problems.


Moreover, you are expected to keep a notebook of so called "Notebook Problems". Every few weeks I will collect this notebook and grade these problems.

NOTE: Although there will be roughly four or five problems of this type per week, I will only grade one or two from each week's assignment. I will determine which of them after I collect the sets. Message: Do them all!

I will record the results of this visit in the grade book by assigning a grade of 0-20 points. These points will be figured into the total of 500 points as bonus points. The total number additional points that can be earned in this way will be 50. In other words, an additional 10% is available to augment the final percentage. Consequently, your total final percentage can be as much as 110%.

I expect the problems to be done neatly and completely. Chicken scratching and illegible work is unacceptable. The quality of the work is every bit as important as the quantity. Write them up as you would a book report or essay. A good format to follow is the format the text book uses for the examples in the text. You may consult with each other on the problems and their solutions. You may also ask me to give hints for solutions in class.

Syllabus

Week 1: 8/26-31, Sections 12.1, 12.2, 12.3

Notebook problems:
12.1: 60, 62, 68. Include sketches
12.2: 49, Hint: You will need to use the dot product formula
12.3: 94, 97
Practice problems:
12.1: 1-55, odd numbered problems
12.2: 1-43, odd numbered problems
12.3: 1-76, odd numbered problems

Week 2: 9/2-6, Sections 12.4, 12.5

Notebook problems:
12.4: 38
12.5: 52
Practice problems:
12.4: 1-35, odd numbered problems
12.5: 1-37, odd numbered problems

Week 3: 9/9-13, Sections 12.6, 12.7

Notebook problems:
12.6: 52
12.7: 46
Practice problems:
12.6: 1-39, odd numbered problems
12.7: 1-31, odd numbered problems

Week 4: 9/16-20,Sections 12.8, 13.1, 13.2

Notebook problems:
12.8: 41, 42
13.1: 14, 16
13.2: 38
Practice problems:
12.8: 1-39, odd numbered problems
13.1: 1-9,
13.2: 1-31, odd numbered problems

Week 5: 9/23-27, Exam 1, Sections 13.3, 13.4

Notebook problems:
13.3: 51
13.4: 64, 65, 74
Practice problems:
13.3: 1-45, odd numbered problems
13.4: 1-63, odd numbered problems

Week 6: 9/30-10/4, Sections 13.5, 13.7

Notebook problems:
13.5: 32
13.7: 18
Practice problems:
13.5: 1-23, odd numbered problems
13.7: 1-13, odd numbered problems

Week 7: 10/7-12, Sections 13.8, 13.9, 13.10

Notebook problems:
13.8: 49
13.9: 66
13.10: 37
Practice problems: 13.8: 1-21, odd numbered problems, 27,33
13.9: 1-63 odd numbered problems, omit center of mass, moment problems
13.10:1-29, odd.

Week 8: 10/14-19, Sections 14.1, 14.2, 14.3

Notebook problems:
14.1: 24
14.2: 39, 40
14.3: No problem assigned
Practice problems:
14.1: 1-21, odd numbered problems
14.2: 1-21, odd numbered problems,
14.3: 1-23, odd numbered problems 27-31, odd numbered problems

Week 9: 10/21-25, Sections 14.4, 14.5, 14.6

Notebook problems:
14.4: 23
14.5: No problem assigned
14.6: 31,32
Practice problems:

14.4:1-21, odd numbered problems
14.5:1-37, odd numbered problems
14.6:1-22, odd numbered problems<

Week 10: 10/28-11/1,Exam 2, Sections 14.7, 14.8

Notebook problems:
14.7: 38
14.8: 20

Practice problems:
14.7: 1-23, odd numbered problems
14.8: 1-19, odd numbered problems, omit 15

Week 11: 11/4-9,Sections 14.9, 10.1

Notebook problems:
14.9: 25
10.1: 48

Practice problems:
14.10: 1-19, odd numbered problems
10.1: 1-35, odd numbered problems
Week 12: 11/11-15, Sections 10.2, 10.3, 10.4

Notebook problems:
10.2: 41
10.3: 34
10.4: 32

Practice problems:
10.2:1-35, odd numbered problems
10.3:1-27, odd numbered problems
10.4: 1-31, odd numbered problems


Week 13: 11/24-29, Thanksgiving Break

Week 14: 12/2-6, Exam 3, Sections 10.5, 10.6

Notebook problems:
10.5: 25,26
10.6: 34

Practice problems:

10.5: 1-21, odd numbered problems
10.6: 1-34, odd numbered problems
Week 15: 12/9-13, Sections 10.7, 10.8, 10.9

Notebook problems:
10.7:50 (Hint for part a: Show that the function and all of its deriviatives are zero at x=0.)
10.8: 15
10.9: 27

Practice problems:

10.7: 1-49, odd numbered problems
10.8: 1-15, odd numbered problems
10.9: 1-27, odd numbered problems

FINAL EXAMINATION INFORMATION:

Friday, December 20 at 7:30-9:30 am in Carver 4

Here is a list of suggested problems for the final examination.

Below you will find the answer keys for the hour examinations:

For:
Exam_1, page 1 and Exam 1, page 2.
Exam_2, page 1, Exam 2, page 2 and Exam 2, page 3
Exam_3, page 1, Exam 3, page 2, Exam 3, page 3and Exam 3, page 4


Below you will find the answer key pages for the FINAL EXAMINATION!

FINAL, page 1, FINAL, page 2, FINAL, page 3, FINAL, page 4,

HAVE A GREAT HOLIDAY SEASON AND BREAK!