Math 1700                                                       Fall 2010

Calculus I Science and Engineering


Instructor: Professor Jim Zhu
Office: 5516 EV, Tel: 387-4535, e-mail: zhu@wmich.edu
Web: http://homepages.wmich.edu/~zhu/
Office Hours: M. W. 5:40-6:00 P.M, W. 2:00-3:00 others by appointment
Class Hours: M.W. 4:00-5:40 P.M. Schneider Hall 01275
Text: Calculus with Early Vectors by Zenor, Slaminka and Thaxton (Chapers 1-7), Prentice-Hall, 1999
Course Description:

Math 1700 is the first of a two-semester sequence in differential and intgral calculus, and part of a four-semester sequence of core mathematics courses required by most engineering and science programs. Math 1700 is also suitable for some mathematics majors. Topics include: vectors, their operations and applications, functions, limits, continuity, techniques and applications of differentiation and integration and fundamental theorem of calculus. This is roughly corresponding to Chapters 1-7 of the text. Students are responsible for all material in the text and all material presented in class. This includes any material not in the text and all material in the text that was not presented in class.

Course Prerequisites: A passing grade (C or better) in Math 1180 or a satisfactory score on an appropriate placement exam (ACT, SAT, WMU math placement exam). There will be an advisory algebra exam on prerequisite skills for this course. 

Calculus II Skill Exam:

Entering Calculus II next semester you will need to take a Skills Exam focusing on basic skills of differentiation and integration. Following the link here to website about the skills exam and sample problems.

Academic Integrity: Students are responsible for making themselve aware of and understanding the policies and procedures in the Undergraduate (pp. 274-276) [Graduate (pp.25-27)] Catalog that pertain to Academic Honesty. These policies include cheating, fabrication, falsification and forgery, multiple submission, plagiarism, complicity and computer misuse. If there is reason to believe you have been involved in academic dishonesty, you will be referred to the Office of Student Conduct. You will be given the opportunity to review the charge(s). If you believe you are not responsible, you will have the opportunity for a hearing. You should consult with me if you are uncertain about an issue of academic honesty prior to the submission of an assignment or test.

Objectives:

1. Understanding how vectors and their operations related to real world models, in particular, to goemetrical and physical models.
2. Understanding the concept of limit and how it relates average and instantaneous quantities.
3. Understanding the concept of derivative, interpreting it geometrically, physically and using it in optimization and linear approximation.
4. Understanding integration and its relationship with differentiation and applying integration in goemetrical and physical problems.
5. Learning the proper use of mathematical notation.
6. Developing sufficient computational skills in vector, differential and integral operations for subsequent calculus courses and for applications in other areas.
7. Developing abilities to tackle multi-step problems and to explain the process.
8. Understanding the possibilities of modern computer algebra systems in assisting the analysis of problems in calculus and the visualization of their solutions.
9. Developing skills in mathematical reasoning.
10. Developing a broad perspective of how various different topics in this course fit together.

Calculator:

A graphing calculator is required for this class. A TI-89 or equivalent is required. Extra capabilities of these calculators will be used. You can find help and examples prepared by Professor Pence here

Homework:

You can find a table for homework assignments and tentative schedule in the bottom of this page. Although none of the homework will be collected, you are responsible for all of the problems. If you have any questions about problems, please ask them in class or in office hours.

Quizzes:

A total of 6 quizzes will be given. They will cover all of the material before the day of the quiz. No make up quiz will be given. However, I will drop your worst quiz.

Final:

The final exam will be 5:00-7:00 PM on Monday, December 13.

Grading:

The final is 30% and the quizzes count for 70%. This gives a total of 100%.
Grading scale is approximately as follows:
                                    A (86-100%) BA(78-85.99%) B (71-77.99%) CB(63-70.99%)
                                    C(55-62.99%) DC(50-54.99%) D(43-49.99%) E(0-42.99%) 

Homework Problems and Schedule
Section Date   Problems
1.1
9/8
1, 4,7,8,10,15, 17-19, 25
1.2
9/8
1, 3,4,6,10,12,13,16,18,22,24,26,29,31,33,36
1.3
9/13 1,2,5,7,9,12,15,19,20,23,25,29,31,34,36
1.4
9/13, 15
1,3,4,7,9,13,14,16,18,20,23,29,32,34,37,40,42
1.5
9/15
1,3,5,8,11,14,17,19,23,26-28,30,35,37,41,44,46,47
1.6
9/20
2,5, 7,10,13,14,17,21
 
9/22
Review
 
9/22
Quiz 1
2.1
9/27
2,4,7,11,12,14,17,20,25,26,29,31,35,38
2.2
9/27
1,3,5,8,10,12,13,17,21
2.3
9/29
1,4,6,7,10-13,17,21
2.4
9/29
1,2,5,6,7,9,12,16-19,21,24
2.5
10/4
1,3,5,6,7,10,11,14
2.6
10/4,10/6
1,4,7,9,10,11,13,14,17,22,24,30,37,39,40-42,46,47,50,51,54,58,61,64
2.7
10/6
1,4,8,12,17,19,23,29,30,32-36
 
10/11
Review
 
10/11
Quiz 2
3.1
10/13
2,3-6,11-16,26,29-31
3.2
10/13
1-4,6,7,9,13,15,17
3.3
10/18
1-7, 11-13, 17,19, 20, 22, 25-27, 29,30,33,38,40,43,46,47,50,54,57
3.4
10/18,20
4-7, 11, 13, 16,17,21,23,26,28,29,30,32
3.5
10/20
2, 3,  6, 9, 11,14,18,20,21,24,26,30,32,33,36,38,41,46,47,48,51,52
 
10/25
Review, Quiz 3
4.1
10/27
1,2, 4,6,7, 10,12,15,18,23,26,29,32,35-37,42,46,51,53,55,58-60,63,66,73,75,76
4.2
10/27
1,2, 5,9,12,16,18-21,24,30,35,38,40,45,48,52,59
4.3
11/1
1, 4, 6, 9, 13-15, 17,20,23,24,28,31,35,39,42,47,50,55,61,62,66,71-76
4.4
11/1
1,5,8,10,13,15,17,20-22
   
11/3
Review, Quiz 4
5.1
11/8
Review, 1, 4- 6, 9,12-19, 21,24-26,31-34,39,41,43
5.2
11/8
1, 4, 5, 8,9,14,18,20,22,25,29,31,32,34,36
5.3
11/10
2,4, 7,9,13,19,23,28-30,33,35,36,39,41,43-45
5.4
11/10
2,6,10,14,16,19,23,26,29,34,37,39,42,46,51,52,56,57
5.7
11/15
2, 3,  8, 11, 12,15,17,20,22
   
11/15
Review
   
11/17
Quiz 5
6.1
11/22
1,5,10,18,19,22,26,30,31,35,39,42,43,46,50,56-58,64-66
6.2
11/22
1,4,6,10,13,15,17,21,24,28,31,35,38,40,43,46
6.3
11/24
2, 5, 6,10,16,18,26,29,32,37-41
6.4
11/24
1, 4, 5, 7, 10, 12, 14, 15, 19, 21
6.5
11/39
1,4,7,9,12,17
6.6
11/39
3,6,9,11,12,14,16,19,22,25,26,28,31
6.8
12/1
1,4,8,9,12,14,15,18,21,24,27,28,31,33,35,38,49
   
12/1
Review
7.3
12/6
2,5,7,10,11,14,17,21,23,24,26,29,32,33,36,39,43
7.4
12/6
2,4, 6, 9,12,14,15,18,21,23,28-30,35,37,40,43,45
 
12/8
Review
   
12/8
Quiz 6
12/13
Monday: Final, 5:00-7:00pm