MAT 140 – Differential Calculus With Review

 

Syllabus

 

 

Class Time:       11:30-12:30 M-W-F, Olin 124

 

Text:                 Integrated Calculus by Taalman

 

Instructor:         André Wehner, Olin 111, Ph. 238-5919, e-mail wehner@centre.edu,

                        Office Hours: 3:00-6:00 M-W-F, or by appointment.

                        Study Sessions: 9:00pm-10:00pm T-T-Su, Olin 129, staffed with a tutor (Molly Lindle).

               

Grading:           10 quizzes at 2% (10 points) each = 20%

3 tests at 10% (50 points) each = 30%

Final 20% (100 points)

Homework 30%

Tentative grading scale: 90 = A– , 80 = B–, 70 = C–, 60 = D

 

 

Course Description

 

Differential calculus, rooted in the work of 17th century scientists Isaac Newton and Gottfried Leibniz, studies how amounts change. Since functions are the mathematical objects that relate inputs to output amounts, differential calculus is the study of how function outputs change due to a change in inputs. This course introduces the notions of limits and derivatives as tools used to analyze the behavior of algebraic, exponential, and logarithmic functions. These tools describe functional changes that are instantaneous – a measurement of change at any given moment – rather than the mathematically simpler notion of average change over a given interval. Calculus allows for the measurement of instantaneous changes, which has far-reaching applications in many disciplines, such as physics, chemistry, biological modeling, economics – any discipline that uses functions to represent meaningful quantities under study.

 

This course has no prerequisites beyond basic proficiency, though a solid background in high school algebra is expected. If you decide to continue on to MAT 141, you will need the same textbook. MAT 140 and MAT 141 together are equivalent to MAT 170, Calculus I, and hence the prerequisite for Calculus II (MAT 171), for which you will need a different textbook. There is a website accompanying our text at http://college.hmco.com/mathematics/taalman/integrated_calc/1e/students/index.html .

 

I expect you to be prepared for class and to participate in class every day – being prepared means at the very least doing your homework, reading the assignment, and looking over notes from previous classes.  It is your responsibility to make use of the resources available to help you do well in this course. I encourage you to visit me in my office, attend the study sessions, read material in advance, and form study groups with other students in the class. Ultimately, your grade will depend on the amount of study time and effort you put in on this course – it is not likely that you will do well if you do no more than show up for classes and cram for the tests.  The course requires scheduled time each night for homework and study – if you don’t do a few calculus problems each day, then you may not be doing enough.  On the other hand, working consistently each day on problems, successfully finding their solutions, is a formula for success in this and any math course.

 

Homework is an essential part of this class. You should write down the complete solution showing all work. The due dates will be announced in class.

 

The quizzes (10 minutes), tests (1 hour), and the final (2 hours) will consist of a selection of problems resembling the assigned homework problems. They are “closed everything.” You may use single-line scientific calculators, but not graphing calculators. I will hand out simple non-graphing calculators (TI-30) when necessary. You must show all work.

 

The quizzes will be given at the beginning of class. If you are late, you will not be given extra time. If you have to miss class for a valid reason (proof required!), you will be allowed to make up a quiz or test. If you know in advance you will miss a test or quiz, you should make arrangements to take it early.

 

Your participation in the class discussion is very important. The best classes will be those where I am responding to questions that you pose, rather than my lecturing on a topic in which you have not yet expressed an interest.

 

You are expected to be present for all classes. Please let me know in advance if you must be absent for a scheduled college activity. The college has a strict policy on the number of excused athletic absences allowed per term (three in this class). To facilitate planning, please find out the class days that you will miss because of an away sports event and tell me as soon as possible. You are responsible for making up any missed work by obtaining notes from other classmates and reading the missed assignment. Three inexcused absences will result in a lowering of the grade.

 

In cooperation with the disability resource center, reasonable accomodation will be provided for students with disabilities. Please meet the instructor during the first week of class to make suitable arrangements.

 

This syllabus is available online at http://web.centre.edu/wehner/courses/m140f06.htm .

Schedule

 

 

 

Day

Material Covered

Homework

 

 

 

8/28

1.1

11, 13, 15, 18, 22, 25, 27, 33, 36

8/30

1.2

4, 5, 7, 10, 13, 14, 27, 28, 31, 35

9/1

1.3; Quiz 1

9, 13, 19, 23, 25, 27, 31, 36, 40

9/4

1.4

12, 14, 16, 20, 21, 24, 27, 44, 49

9/6

1.5

5, 12, 15, 29, 43, 51, 65, 70, 98

9/8

1.6; Quiz 2

24, 36, 38, 51, 63, 69, 28

9/11

1.7

16, 17, 21, 25, 30, 35, 38, 41

9/13

2.1

4, 8, 9, 15, 23, 25, 27

9/15

2.2; Quiz 3

9, 24, 32, 52

9/18

2.3

11, 15, 17

9/20

Test 1

 

9/22

2.4

23, 25, 34, 38, 41, 47

9/25

2.5

8, 17, 22, 24, 35, 39, 41

9/27

2.6; Quiz 4

6, 8, 9, 14, 43, 45, 49, 57, 61

9/29

2.7

9, 19, 25, 31, 37, 46, 55

10/2

3.1

21, 27, 35, 41, 50, 59, 68, 74, 80

10/4

3.2; Quiz 5

11, 17, 20, 26, 33, 35

10/6

3.3

5, 16, 17, 25, 29, 31

10/9

3.4

8, 13, 15, 17, 19, 24, 31, 43, 55, 61

10/11

3.5; Quiz 6

16, 18, 24, 26, 31, 37, 43, 55, 61, 65

10/16

3.6

14, 18, 20, 33, 35, 39, 42, 52, 55, 61

10/18

Test 2

 

10/20

3.7

20, 22, 23, 26, 29, 32, 35, 38, 41

10/23

3.8

14, 17, 19, 25, 26, 30, 34, 40, 50, 63

10/25

4.1; Quiz 7

16-21, 32, 42, 44, 62, 66, 69, 77

10/27

4.2

5, 11, 21, 33, 35, 43, 49, 60

10/30

4.3

5, 16, 24, 29, 36, 49, 52, 58, 68

11/1

4.4; Quiz 8

13, 23, 27, 35, 36, 39, 48, 50

11/3

4.5

5, 7, 14, 22, 29, 37, 45, 47, 58

11/6

5.1

55, 61, 67, 73, 79

11/8

5.2; Quiz 9

6, 16, 28, 31, 34, 40, 43, 44, 48, 55

11/10

5.3

9, 13, 21, 26, 31, 40, 45, 49, 54

11/13

5.4

11, 15, 21, 25, 30, 32, 35

11/15

Test 3

 

11/17

7.1

12, 19, 21, 27, 36, 38, 47, 52, 54, 66

11/20

7.2

27, 31, 35, 38, 53, 56, 59, 63, 75, 81

11/27

7.3; Quiz 10

16, 24, 30, 32, 35, 40, 45, 50

11/29

7.4

17, 18, 20, 21, 25, 26

12/1

7.5

24, 27, 33, 36, 42, 45, 54, 64

 

 

 

12/4a

Final (comprehensive)