M21-121 Integration and Differential Equations

Fall 2004 Course Information

MWF 11:30-12:20, PH 100

Professor: Rima Gandlin
    Phone: 8-6471
    Email: rima@andrew.cmu.edu
    Web: http://www.math.cmu.edu/~rima
    Office: WeH 6211
    Office Hours: MW 12:30-1:30PM or by appointment (please send an email first).

Teaching Assistants:

Pall Melsted
    Email: pmelsted@andrew.cmu.edu
    A: TuTh 8:30 BH 255A
    B: TuTh 9:30 PH 226A
    Office: Physical Plant building 342
    Directions: http://www.math.cmu.edu/~doffner/ppb.html
    Office hours: MW 1:50-2:50

David Kravitz
    Email: kravitz@cmu.edu
    C: TuTh 11:30 BH 255A
    D: TuTh 12:30 DH 2122
    Office: WeH 6201
    Office hours: Tuesday from 1:30-3:30

Neeti Gore
    Email: ngore@andrew.cmu.edu
    E: TuTh 10:30 WeH 8427
    Office: WeH 6215
    Office hours: M 3:30-4:30PM, F 1-2PM

Supplemental Instructor:
    Cherry Wan
    Email: cwan@andrew.cmu.edu
    M Th 5.30-6.30 WeH 5403

Homework
Solutions

Final Exam: December 14, 1PM

Lecture Notes:
Week 1
Week 2
Week 3
Week 4
Week 5
Test #1 + solutions
Week 6
Week 7
Week 8
Week 9
Review for test #2 and solutions by SI Cherry
Week 10
Test #2 + solutions
Week 11
Week 12
Week 13
Test #3 + solutions

Textbook: Stewart, Fifth Edition, Brookes Cole 2003.

Course Description:
Differentiation review, L'Hospital's Rule, Mean Value Theorem, maximum-minimum problems. Definite and indefinite integrals; hyperbolic functions; applications of integration, integration by substitution and by parts. Integration by trigonometric substitution and partial fractions; arclength; improper integrals; Simpson's and Trapezoidal Rules for numerical integration; separable differential equations, first order linear differential equations, homogeneous second order linear differential equations with constant coefficients.

Prerequisites: 21-115 or equivalent.

Sections to be covered: 3.9, 4.1-4.2, 4.4, 4.7, 4.10, 5.1-5, 6.1-3, 7.1, 7.2-4, 7.7-8, 8.1, 9.3, 9.6, 17.1

Notes from the Mathematical Sciences Department:

Everyone involved must contribute to establishing a positive learning environment in both lectures and recitations. We must all arrive on time, and not leave early. We will keep cell phones and other noisy electronic devices silent, and use laptops only for note-taking. We will confine conversation to course related matters, and respect others and their opportunities for learning.

Success in calculus depends to a high degree on mastery of the basic skills of algebra and other precalculus mathematics. For this reason the Mathematical Sciences Department has made passing a basic skills assessment a pre-requisite for the course. These skills are described in the first 10 questions of the placement test taken by most students over the Summer. Many students have already been identified as needing support and have been placed into 21-106 Cocalculus. We will give a second version of those 10 questions on the second day of the course to identify other students who may need the additional help, or students who can improve their score and test out of Cocalculus.

Grading Policy:
There will be three tests and a final exam. Your two best tests will contribute 40% to your final grade. The final exam will be worth 35%. Your homework grade will count for 25% of the course grade. All exams will be closed book and notes without calculators. The letter grades are computed as follows: A: 90 - 100 B: 80 - 89 C: 70 - 79 D: 55 - 69 F: less than 55.
Note: No makeup tests will be given.

No collaboration is permitted during the exams!

No cheating! Cheating Policy: Carnegie Mellon University Policy on Cheating and Plagiarism will be in effect. Check http://www.cmu.edu/policies/documents/Cheating.html
 
Please make sure all your homeworks and exams are legible and neat so we are able to understand it!

Tentative test dates (exact dates will be announced at least two weeks in advance):
Test 1: October 1
Test 2: November 1
Test 3: December 1
Note: All tests will be held during the usual lecture time.  

Final Exam: December 14, 1PM
Warning: The final exam period is December 13-.... Please do not plan to depart for the Xmas break before this since university policy requires me to administer the exam at the published time. In particular, the exam can not be given to individuals prior to this to facilitate earlier departure.

Attendance: Students are expected to attend class regularly and are responsible for missed lecture notes and announcements. If you know you'd be missing a class ahead of time, please make arrangements with your classmates to obtain notes for the missed lecture. I strongly encourage all of you to attend your weekly recitation sessions as they are an integral part of the course and will be devoted primarily to amplifying the material and working problems reasonably similar to the homework/tests/final exam.

Students eligible for special accommodations such as extended time for tests are strongly encouraged to discuss their needs with me as soon as possible. In any case, all necessary documents (IN WRITING!) must be brought BEFORE any test/exam.

Homework:
Homework exercises are an essential part of the course. Like all mathematics, you do not understand the material if you cannot apply it yourself. Thus it is very important to test yourself by doing problems. You should try to do all the problems in the homework  since the majority of the exam problems will be from them or similar to them. While the set of homework problems will be collected and graded, it should be taken as a minimal selection.  You should test your knowledge by doing other problems in the appropriate section.

On homework, collaboration is permitted subject to the following: you may discuss homework problems with fellow students and with instructors in order to get help on various parts of a problem, but you may not simply copy someone else's solution! In summary, for the homework, you may work in groups but each student have to turn in an independent homework set.

Homework for a particular week (MWF) will be due in the following Tuesday, until the end of that day. You may turn in your assignment either during the recitation or to put it in your TA mailbox (WeH 6113). Be advised that the secretaries  might leave their office as early as 4:30pm. The solutions will be posted online. Late homework will not be accepted. To pass the course 70% of the assignments should be turned in - it is a MUST.

Note from supplemental instructor:
The program that I will be leading is supplemental instruction which is a more relaxing classroom style help session. It will be held about once a week. The session will be very interactive, helping students think through problems. It is very informal, and students are welcomed to walk-in. Worksheets will be prepared and discussed in each session.

There are also two additional methods of help from Academic Development. One is peer tutoring which occurs from Sunday to Thursday from 8 to 11 in both Donner reading room and Mudge library. Peer tutors are there to answer questions. The other one is for those who desire for more personal help. One-on-one tutoring is available through appointment with Academic Development.

For further information, please contact Academic Development.
OSC 212
412-268-6878