Mathematics 152

Calculus II

Summer 2000


Time and Location: 9:30-10:50 MTRF (MR PH0413, TF PH0304)

Instructor: Steven E. Rigdon, SL1314, (618) 650-2193,

Office Hours: 9:00-9:25 MF; 11:00-12:00 TR

Prerequisite: MATH 150 or equivalent, with a grade of C

Textbooks: Calculus, 8th Edition by Varberg, Purcell, and Rigdon

Student Solutions Manual, Available in Bookstore (Be sure to get the 8th Edition)

Grading Scheme:


Best 2 of 3 50-point exams



Best 6 of 7 Technology Projects



Quizzes* (Best 20 of about 22 @ 5 points each)



Lab Final Exam



Final Exam





Quizzes will be unannounced. To prepare for quizzes (1) Do all homework in covered sections. (2) Read the section to be covered. (3) Do the "Concepts Review’’ problems and the first 2 assigned problems in the section to be covered. Letter grades will be assigned as follows: 90%-100% A; 80%-90% B; 70%-80% C; 60%-70% D; 0%-60% E

Course Outline:








22 PH0413

Review 5.5-5.8

6.1 Area of Plane Region

23 PH0304

6.2 Slabs, Disks, Washers


24 SL1211A

LAB 1 Intro to Mathematica


25 PH0413

6.3 Shells


26 PH0304

6.4 Length of Plane Curve







30 PH0304

6.5 Work

6.6 Moments & Center of Mass

31 SL1211A

Technology Project 6.1

Due: Monday

1 PH0413

6.6 Moments & Center of Mass

2 PH0304


5.5-5.8 &



5 PH0413

8.1 Integration by Substitution

6 PH0304

8.2 Trig Substitutions

8.3 Rationalizing Substitutions

7 SL1211A

Technology Project 6.2

Due: Friday

8 PH0413

8.3 Rationalizing Substitutions


9 PH0304

8.4 Integration by Parts


12 PH0413

8.5 Integration of Rational Functions

13 PH0304

9.1 Indeterminate Form 0/0

14 SL1211A

Technology Project 8.1

Due: Friday

15 PH0413

9.2 Other Indeterminate Forms

16 PH0304

9.3 Improper Integrals


19 PH0413

9.4 Improper Integrals

20 PH0304


8.1-8.5 &


21 SL1211A

Technology Project 8.2

Due: Friday

22 PH0413

10.1 Infinite Sequences

10.2 Infinite Series

23 PH0304

10.2 Infinite Series

10.3 Integral Test



26 PH0413

10.4 Other Tests


27 PH0304

10.5 Alternating Series


28 SL1211A

No Lab

29 PH0413


Power Series

30 PH0304

10.7 Operations on Power Series



3 PH0413

10.8 Taylor and Maclaurin Series



5 SL1211A

Technology Project 10.1

Due: Friday

6 PH0413

11.1 Taylor Approximation to a Function

7 **PH0413

11.2 Numerical Integration


10 PH0413

11.3 Solving Equations Numerically

11 PH0304

11.4 Fixed-Point Algorithm

12 SL1211A

Technology Project 11.1

Due: Friday

13 PH0413

11.5 Numerical Methods for Differential Equations

14 PH0304

12.1 Parabola


17 PH0413


10.1-10.8, &


18 PH0304

12.2 & 12.3 Ellipses and Hyperbolas


19 SL1211A

Technology Project 11.2

Due: Friday

20 PH0413

12.4 Translation of Axes

21 PH0304

12.5 Rotation of Axes


24 PH0413

12.6 The Polar Coordinate System

25 PH0304

12.7 Graphs of Polar Equations


26 SL1211A


Open book, Open notes

27 PH0413

12.8 Calculus in Polar Equations

28 PH0304

Review for Final Exam







9:00-10:40 AM




To Do Well in Calculus: Here are some suggestions for doing well in this class:

1. Come to class regularly

2. Come to class prepared (read the sections before they are covered in class, do the four problems in the CONCEPTS REVIEW section, and do the first two problems in each PROBLEM SET)

3. Promptly do all of the assigned homework. Don't get behind!!

4. Write clear and concise solutions to the homework, so that when you are studying for an exam, you will be able to understand what you have done.

5. If you have difficulty, see the instructor, the tutors in the Tutor Lab (SL1224), or another student in the class. The Tutor Lab hours will be posted early in the term. No appointment is necessary, and the service is provided free of charge. The Student Solution Manual, available in the Bookstore, may also be helpful.


Technology Projects: There will be computer labs every Wednesday. You will be using Mathematica, a powerful package for doing calculus. Except for the first and last labs, you will be given Technology Projects to work on. (The first lab is a tutorial, and the last is the lab final exam.) Usually, these technology projects will be done in the computer lab, but turned in later. Answer the questions that are asked completely and thoroughly. Use complete English sentences. Explain what you did and what you learned; don't just tell us what your computer told you. Use Mathematica itself as your word processor. Turn in the assignments on time.


Writing: I expect excellent writing on your lab reports. On tests, you will have limited time, I don't expect as much. Do, however be careful of a few things.

1. The more you can explain to me (in words, pictures, equations, etc.) the more partial credit I can give. An incorrect answer showing that you began the problem correctly will get some partial credit. An incorrect answer with disorganized or missing work will get nothing.

2. Honor the equal sign. "=" means "equals". Don't make the following mistake:

Problem: Let and find Solution:

When you claim that two expressions are equal, they better be equal!!!

3. Organize. Align the equal signs. Write neatly.


Important Notes: *** No make exams ***

A grade of I can be given only under the following circumstances:

1. The student is prevented by a medical or similar emergency from completing a small portion of the course requirements.

2. The student presents valid documentation of the emergency.

3. The student is passing the course at the time of the emergency.

A grade of I cannot be given as an alternative to an E or UW.


Lab reports are due at the beginning of class on the date stated on the syllabus. The penalty for late work is 5 points if the assignment is turned in by the end of the day. Work will not be accepted after the due date.


The last day to drop a course without receiving a grade is June 2.

The last day to withdraw from a class without permission of adviser and instructor is June 23. You receive a grade of W.

The last day to withdraw from a class or from school with permission of adviser and instructor is July 14. You receive a grade of WP if you are passing the course or a WE if you are not passing at the time you drop.


Criteria for Grading Lab Reports:

Correctness and Completeness

Response is complete and correct. Arguments are valid and reasoning is correct. All statements are unambiguous and correct.


Organization and Development

Structure of report is well thought out and organized according to the appropriate style. Uses supporting elements (Figures, Tables, Mathematica code, etc.) that are accurate and appropriate. Conclusions are prominent and follow from students reasoning.


Writing Style and Presentation

Report uses appropriate words. Paragraphs flow smoothly. Report shows mastery of punctuation, capitalization, and spelling. Presentation of mathematics follows established conventions.





On-Line Materials

The syllabus and homework assignments can be found at M152SyllabusU00.html and or from the links at