MthSc 108 – Calculus of One Variable
Fall Semester 2002
(Click here for a printer-friendly version)

General Information

Text: Calculus, by Stewart, 4th Edition, published by Brooks/Cole.

Calculator: A graphing calculator such as the TI-89 is highly recommended. The Department of Mathematical Sciences will offer support for the TI-89.

Prerequisites: Demonstrated proficiency in material typically covered in a first semester single variable calculus course (MthSc 106): limits, continuity, derivatives, antiderivatives (including the natural logarithm function and the exponential function), definite integral, and some applications of the definite integral.

Course Description: MthSc 108 will cover material typically seen in a second semester single variable calculus course: transcendental functions; applications of integration; integration techniques; indeterminate forms; improper integral; conics, parametric equations, and polar coordinates; and sequences and infinite series. Initial topic coverage will provide a review of the natural logarithm and exponential functions.

Course Objectives: Calculus is an important building block in the education of any professional who uses quantitative analysis (e.g., engineers, scientists, economists, mathematicians, etc.). It introduces and develops the mathematical skills required for analyzing change and creating mathematical models that imitate real-life situations. The general goals of this second semester calculus course are to expand the student’s knowledge of calculus, and to use the calculus environment to develop critical thinking and problem solving skills. More specifically by the end of this course you should be able to:

  1. Differentiate, integrate and use exponential and logarithmic functions, two of the most important functions occurring in applications of mathematics.
  2. Apply the Riemann sum to different settings involving area, volume of a solid of revolution, arc
    3. length of a curve in the plane, area of a surface of revolution, work, and average value of a function, and use a definite integral to describe these applications.
  3. Use new integration techniques, (integration by parts, trigonometric integrals, trigonometric
    4. substitution, and partial fractions) to evaluate integrals of more complicated functions.
  4. Represent the equations of graphs on the rectangular coordinate system in either rectangular or parametric form and describe the relationship between polar and rectangular coordinates. Use
    5. calculus to study these curves.
  5. Discuss the convergence/divergence of a series. Describe how polynomials and series are useful for numerical computations.
  6. Present logical arguments that exhibit your knowledge of the above objectives.
  7. Use technology to obtain graphs, solve equations, calculate derivatives and integrals, and perform numerical computations involving Taylor polynomials, sequences, and series.

 

Help Center: Students can receive (free) help in MthSc 108, Monday through Thursday in Martin E-1. Tentative hours for the tutorial center are 2:00 p.m. to 6:00 p.m. More accurate hours will be announced later in the semester. Students will receive help on a first-come, first-serve basis.

Web Site: You can find this syllabus plus other helpful information about MthSc 108 (such as a daily topic schedule, a TI-89 help sheet, and old exams, etc.) at the following site: http://www.math.clemson.edu/calculus

Coorse Coordinator: Dr. Terri Johnson, O-226 Martin Hall, 656-6409, terrij@clemson.edu

Material Coverage:

Chapter

Section

6

2-4

7

1, 2*-4*, 5, 7

8

1-5, 8

9

1-2

10

1, 4

11

1-5

12

1-10, 12

The material is broken into the following units:

Unit 1

7.1, 7.2*-7.4*, 7.5, 7.7, 10.1, 10.4

Unit 2

8.1-8.5, 8.8

Unit 3

6.2-6.4, 9.1-2, 11.1-5

Unit 4

12.1-12.8

Unit 5

12.9, 10, 12

Daily Assignments: These assignments may be short quizzes, assigned problems, short writing assignments, problem presentations, or projects.

Exams: There will be 4 in-class exams during the semester and a comprehensive final exam. The use of technology will be prohibited on Exams 1 and 2 and on a portion of the final exam. Graphing calculators may be used on the other exams. The use of a laptop is prohibited on any MthSc 108 exam.

The exam schedule for the semester is found below.

Exam 1

September 10, 2001

Exam 2

October 1, 2001

Exam 3

October 29, 2001

Exam 4

November 26, 2001

Final Exam

December 12, 2001
(6:30-9:30 p.m.)

Note: Exams 1-4 cover Units 1-4 respectively. Unit 5 is covered on the cumulative final exam.

Final Exam: A comprehensive final examination will be given on Thursday, December 12, 2002 at 6:30 - 9:30 p.m. There will be no exemptions.

Make-Up Policy: No make-up exams will be given. Your final exam grade will replace the lowest of your four exam grades. The make-up policy for daily work is up to the discretion of the instructor.

Attendance: Regular and punctual attendance is necessary for each student to maximize his/her understanding of the material. Students are expected to wait 15 minutes before leaving if the instructor is not present at the scheduled start time of the class. The Department of Mathematical Sciences will enforce the following attendance policy in MthSc 106:
Attendance will be taken at every regularly scheduled class meeting. Three percent of the course grade will be devoted to class attendance. Points for attendance will be distributed as follows:

Number of unexcused absences Points awarded
0-1 3
2-4 2
5-6 1
more than 6 0

Grading: Your final grade will be computed as follows:

Four in-class exams

60 %

Daily assignments

12 %

Attendance

  3 %

Final Exam

25 %

**The letter grades will be assigned as follows:

A+   98-100     B   82-87     C-   70-71     F   Below 60
A   92-97     B-   80-81     D+   68-69          
A-   90-91     C+   78-79     D   62-67          
B+   88-89     C   72-77     D-   60-61          

Note: (1) The final exam grade may be substituted for the lowest test grade. (2) In borderline cases the instructor reserves the right to subjectively determine grades based on class attendance, participation, quality of work, etc.

**Statement on the Trial Period for Plus/Minus Grading
Clemson University is committed to all aspects of academic excellence, including the exploration of possible improvements to grading policies. Accordingly, beginning with the 2002 fall semester, a trial period for the plus/minus grading system will be in effect for a period of two years. During the two year period, the plus/minus grade data will be used solely for research purposes. For all official purposes, the pluses and minuses will be "stripped off," and the resulting letter grades will be the students' grades for the term. These traditional letter grades (A, B, C, D, F, I) will be the basis for all official GPR (grade-point ratio) computations and requirements, and they are the only grades that will appear on an official grade report and transcript. Undergraduates enrolled in 400/600 level courses should receive plus/minus grades.
If at the end of the trial period the plus/minus system is adopted, the effective date of the change in grading systems will be announced in the Undergraduate Announcements. The new grading system will apply to all students enrolled in the term when the change becomes effective and in all future terms.
The following weightings will be used for the plus/minus grading systems.

A+   4.0     B   3.0     C-   1.7     F   0.0
A   4.0     B-   2.7     D+   1.3          
A-   3.7     C+   2.3     D   1.0          
B+   3.3     C   2.0     D-   0.7          

Academic Dishonesty: The University policy on academic dishonesty will be strictly enforced. The following is the university’s official statement on "Academic Integrity."

" As members of the Clemson University community, we have inherited Thomas Green Clemson’s vision of this institution as a "high seminary of learning." Fundamental to this vision is a mutual commitment to truthfulness, honor, and responsibility, without which we cannot earn the trust and respect of others. Furthermore, we recognize that academic dishonesty detracts from the value of a Clemson degree. Therefore, we shall not tolerate lying, cheating, or stealing in any form."

Tips for Success: A college level calculus course moves at a very fast pace. Most topics are introduced and discussed in one class period. Even so, professors expect the students to be proficient in these subjects by the next class meeting. In order for this to occur, the students must complete the required reading and assignments on time. However, too often students let their homework and reading for their calculus courses go untouched. This is a losing strategy! In order to succeed in a calculus class, you will need to develop a disciplined work ethic. Below are some ideas to help you form good study habits.

  1. Set aside at least 2 hours a day to be spent on calculus. College instructors expect their students to spend an average of 2 hours outside of class for each hour they spend in class. Calculus instructors are no different. Some topics will be harder to grasp than others. As a result, there will be days when you will need to spend more than 2 hours on calculus. Learning calculus is like learning to play a sport or musical instrument. You must practice if you want to become adept!
  2. If you do not understand a topic, get help immediately! Getting assistance early is important. Many times an instructor can easily clear up any confusion a student may have about a concept if help is sought as soon as it is needed. However, if the misunderstanding is allowed to sit for a long period of time, it often grows into a roadblock that inhibits comprehension of the remaining material in the course.
  3. Form a study group with other students from your class. Study groups can foster a greater understanding of the material and a sense of confidence. After all, if you can describe a topic in calculus to a peer and help them understand, then you will develop a more profound appreciation of the topic. Also, study groups give you an out of class opportunity to get to know your classmates.
  4. Learn to read the textbook. Most students believe that mathematics textbooks are used only for the problems at the end of the sections. Wrong! The text will have careful explanations of the topics, complete with examples, illustrations, and of course, problems.
  5. Take advantage of the resources provided for you. Many instructors maintain web sites for their courses that contain helpful materials. Typically these materials include solutions for various assignments and exams, study guides for exams, and sometimes, practice exams. If an instructor goes to the trouble of providing such a resource, it is to your advantage to make use of it.
  6. Read and practice the advice given in "How to Survive Your College Math Class (and Take Home Something of Value)." (http://www.math.clemson.edu/~mjs/courses/misc/study.pdf)