MATH 241-12-2118 MW 6:10-8:00pm, 010-231 (Agriculture bldg.)

Calculus IV


Instructor:

 Charles D. Camp
office: 25-309 (Faculty Offices East)
tel: (805) 756-1661
camp@calpoly.edu

Office Hours:

 MW 4:40 - 5:30pm
T 3:10 - 4:00pm
or by appointment

Course description Textbook Expectations Evaluation Syllabus and Schedule Homework Handouts and Solution Sets Resources

Course Description

Partial dervatives, multiple integrals and introduction to vector analysis.

Learning Objectives:

A student who successfully completes MATH 241 should be able to

Prerequisite: MATH 143.

Textbook

Stewart, Calculus with Selected Classics Problem Sets, 6th ed., Publisher: Cengage Learning, 2009, 1174pp., ISBN 1-4240-7508-4

Course Expectations

Attendance/Participation:

It is to your benefit to attend each class session; you are responsible for all material discussed in lecture. Please be prepared to start class on time, thereby avoiding any disruptive activity. Participation in classroom discussion as well as group activities is expected and encouraged.

Homework, Reading Questions and Quizzes:

Suggested homework will be assigned for each section; these should be considered as a minimum number of problems to be worked and are chosen to provide a reasonable sampling of the material. You are encouraged to work with other students while doing your homework in order to foster a better understanding of the material. You should expect to spend an average of 2-3 hours studying for each lecture hour of class; hence the 25-35 hours per week program of the College of Science and Mathematics.
In addition, a few questions on the reading will be collected roughly twice weekly. These questions are intended to help you start to investigate the new material and to provide the seeds for classroom discussion.
Homework will not be collected; instead, a short (2-3 question) quiz or in-class worksheet will be given most weeks (except for weeks with an exam). The lowest quiz score will be dropped. Make-up quizzes will not be given; exceptions to this can be made if arrangements are made prior to the beginning of lecture.
Currently quizzes are scheduled for the following days (these are subject to change with prior notice given by the instructor):

QuizzesW 9/21, W 9/28, W 10/5, W 10/19, W 10/26, W 11/2, W 11/16, M 11/28

Exams:

There will be two 50-minute in-class exams and a longer cumulative final exam. Calculators will not be permitted on exams. Exams cannot be made up (in very special circumstances, arrangements to take an exam at an alternate time can be made prior to the scheduled exam date). The lowest of the first two exam scores will be replaced with the percentage obtained on the final exam, if that percentage is higher.
Exams are currently scheduled for the following dates (these are subject to change with prior notice given by the instructor):

Exam 1Wednesday, October 12th, 2011
Exam 2Wednesday, November 9th, 2011

The final exam will be given according to the university's schedule for final exams as follows. You must take your final exam at the scheduled time for your assigned section.

Final Exam Section 12Friday, December 9th, 2011, 4:10pm - 7:00pm

Academic Integrity:

The Cal Poly catalog summarizes the University's policy regarding cheating and plagiarism: "As a student, you are responsible for your own work and you are responsible for your actions." Students who violate academic integrity will meet the stiffest possible penalties. The complete university policy on academic dishonesty can be found here: C.A.M. 684

Course Evaluation:

Point Distribution:

A student's understanding of the material covered in this course will be evaluated as follows:

Reading Questions:10%
Quizzes:13%
Exams(2):44%
Final Exam:33%

Letter Grades:

An initial estimate of the letter grades can be determined according to the following scale:

90% and above A-, A
80% to 89% B-, B, B+
70% to 79% C-, C, C+
60% to 69% D-, D, D+
Below 60% F
The actual grades assigned maybe higher than this scale, but will not be lower. (For example, a score of 87% or higher might be awarded an A- or A.)

Tentative Syllabus and Schedule

In general, we will be following the text from Chapter 15 through Chapter 17; we will cover as much of Chapter 17 as time permits. See Homework listings below for schedule

Assignments:

Homework Problems and Schedule

Reading Questions

  1. Section 15.1: do not turn in.
  2. Sections 15.2-15.3: due Wed., Sep. 21
  3. Sections 15.3-15.4: due Mon., Sep. 26
  4. Sections 15.4-15.5: due Wed., Sep. 28
  5. Section 15.6: due Mon., Oct. 3
  6. Section 15.7: due Wed., Oct. 5
  7. Section 15.8: do not turn in
  8. Sections 16.1-16.2: due Mon., Oct. 17
  9. Sections 16.3-16.4: due Wed., Oct. 19
  10. Sections 16.4-16.5: due Mon., Oct. 24
  11. Section 16.6: due Wed., Oct. 26
  12. Section 16.7: due Mon., Oct. 31; paired with RQ set #13.
  13. Section 16.8: due Wed., Nov. 2; paired with RQ set #12.
  14. Section 17.2: due Wed., Nov. 16
  15. Section 17.3: due Mon., Nov. 21
  16. Section 17.4: due Mon., Nov. 28

Handouts and Solution Sets:

Administrative

  1. Abbreviated Syllabus: Section 12
  2. Academic Orientation, an excerpt from Teaching at the University Level, Steven Zucker, Notices of the AMS, 43(8), 1996, pp. 863-865.

Worksheets/Summaries

  1. Direction Derivative and the Gradient: Worksheet, Solutions.
  2. Partial Differentiation and Classifying Critical Points: Handout
  3. Center of Mass and Moments of Inertia for Lamina: Worksheet and Solutions
  4. Center of Mass for a Lamina - sample problem: Sec. 16.5, # 16; (ignore the note at the top; that's from a previous class)
  5. Triple Integral: Worksheet and Solution
  6. Exchanging the Order of Integration in a Triple Integral - sample problem: Sec. 16.6, # 34
  7. A Triple Integral in non-Cartesian Coordinates: Worksheet and Solution
  8. Transformation of an Integral - sample problem: Sec. 16.9, # 15 (not covered this term)
  9. Scalar Line Integral Example: Worksheet
  10. Conservative Vector Fields: Handout
  11. Conservative Vector Fields: Worksheet and Solution.
  12. Vector Identities: Handout; you are not responsible for knowing most of these; just 1-4, 10, 14 and 22.

Solutions

  1. Quiz 1 Solution Set
  2. Quiz 2 Solution Set
  3. Quiz 3 Solution Set
  4. Midterm 1 Solution Set
  5. Quiz 4 Solution Set
  6. Quiz 5 Solution Set
  7. Quiz 6 Solution Set
  8. Midterm 2 Solution Set
  9. Quiz 7 Solution Set
  10. Quiz 8 Solution Set

Additional Resources:

Fellow Students:

Your most valuable resource in this class is each other. You are encouraged to exchange phone numbers (email) with at least two other students, and to do so over the next day or two. It is from your fellow students that you will be able to get any missed notes and assignments. You are encouraged to study and to work on homework problems together. Another person's perspective could be just the thing you need to get over a particular hurdle, and vice versa. Conversely, an excellent way to see if you know something is to try teaching it to someone else. Study groups, especially in math, can be extremely beneficial.

Myself:

In any course, the instructor is an excellent resource for learning. I encourage you to ask questions both in class and out, and to utilize my office hours to further assist in your understanding. If additional time is needed, I am more than willing to make further arrangements. Please do not hesitate to ask. I have an "open door" policy: you are welcome to come by my office any time. If it's not during my office hours, I may not be able to talk to you right then but I often will have the time; if not, we can schedule a different time to meet.

Tutoring Center:

Free Math Tutoring: Science Bldg 52-A03 Further information and hours are listed here. (No tutoring during finals week.)

Online Resources

http://www.calpoly.edu/~camp/Courses/Math-241/ Mon, Sep 19, 2011
In addition, a few questions on the reading will be collected roughly twice weekly. These questions are intended to help you start to investigate the new material and to provide the seeds for classroom discussion.