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, srigdon@siue.edu

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 100 Best 6 of 7 Technology Projects 60 Quizzes* (Best 20 of about 22 @ 5 points each) 100 Lab Final Exam 50 Final Exam 90 TOTAL 400

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:

 MONDAY TUESDAY WEDNESDAY THURSDAY FRIDAY May 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 May/ June 29 MEMORIAL DAY 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 EXAM #1 5.5-5.8 & 6.1-6.6 June 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 June 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 June 19 PH0413 9.4 Improper Integrals 20 PH0304 EXAM #2 8.1-8.5 & 9.1-9.4 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 June 26 PH0413 10.4 Other Tests 27 PH0304 10.5 Alternating Series 28 SL1211A No Lab 29 PH0413 10.6 Power Series 30 PH0304 10.7 Operations on Power Series July 3 PH0413 10.8 Taylor and Maclaurin Series 4 INDEPENDENCE DAY 5 SL1211A Technology Project 10.1 Due: Friday 6 PH0413 11.1 Taylor Approximation to a Function 7 **PH0413 11.2 Numerical Integration July 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 July 17 PH0413 EXAM #3 10.1-10.8, & 11.1-11.5 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 July 24 PH0413 12.6 The Polar Coordinate System 25 PH0304 12.7 Graphs of Polar Equations 26 SL1211A LAB FINAL EXAM Open book, Open notes 27 PH0413 12.8 Calculus in Polar Equations 28 PH0304 Review for Final Exam July/ August 31 1 2 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. /6 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. /2 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. /2 TOTAL /10

On-Line Materials

The syllabus and homework assignments can be found at http://www.siue.edu/~srigdon/ M152SyllabusU00.html and http://www.siue.edu/~srigdon/M152HWU00.html or from the links at http://www.siue.edu/~srigdon.