MAT 127 Syllabus

Fall  2003

SUNY at Stony Brook
Department of Mathematics
SUNY at Stony Brook

This course is the third semester of the three-semester calculus sequence MAT 125, 126 and 127. We will study differential equations, sequences and series, power series and their applications.. We will heavily rely on the material covered in MAT 125 and 126. Specifically, you are encouraged to review the basic material in Sections 1.5, 1.6, 2.2-2.8, 3.1, 3.2, 3.4-3.7, 4.2, 4.3, 4.5, 4.9, 5.3-5.7, 5.10, and in Appendixes A-C, F.

Lectures: New material is presented each week at the lectures.  You should read the corresponding section of the text before attending each lecture.

Homework: Problem solving is a fundamental part of the course, and you are supposed to work hard on the homework assignments in order to succeed in the course. You are encouraged to discuss homework problems with other students. However, each student must write up the homework individually, in his/her words rather than merely copying someone else's. You will be required to turn in your homework assignment at the first class meeting following the week it was assigned. For example, the problems for the week 9/3-9/5 are due on Monday, September 8 for Section 1, and on Tuesday, September 9 for Section 2. Late homework will not be accepted. No exceptions.

In-class quizzes: There will be 3 short (15 minute) quizzes during the semester. These quizzes will be held in class on Wednesdays for section 1 and on Thursdays for section 2. The quizzes will be held during the weeks of 9/22-9/26, 10/27-10/31, and 12/1-12/5.

Technology: Your textbook includes a CD-ROM which, like an electronic tutor, will try to offer helpful hints to guide you through those homework problems for which the problem number appears in a red box. This CD will only run on Windows machines; and in any case, its use is strictly optional. Students may also occasionally find it helpful to use a graphing calculator when reading the text or doing homework; the TI82 is a standard, recommended choice. Please note, however, that the use of calculators will not be permitted during the exams!

Warning about Calculators and Solution Manuals: Calculators and solution manuals can be of great assistance in helping you to learn the material, if used properly. If used improperly, they can actually cause great damage. Here is the proper way to use them, when you want to work on a problem:

First do the problem yourself, without touching the calculator or solution manual.

Then use the calculator or solution manual to check your work.

If the calculator or solution manual reveal any surprises, find a logical explanation for them.

Calculator abuse: When you first see a problem, your first response should be to think, not to punch buttons on a calculator; otherwise you are suffering from calculator abuse. Students with this syndrome lose out in the following ways:

They do not develop self-confidence in their own abilities to work the problems, which is essential for mathematical growth.

Mathematics is outside them, not part of them. You may have noticed that, if you write down a phone number, you are less likely to remember it. Similarly, calculator abusers often find themselves with poor memories for mathematics.

They do not learn to calculate well. Many courses in physics and the other sciences require students to be able to follow, and do, very complicated calculations.

Examinations: There will be two evening midterm tests, on Monday, October 13, and on Tuesday, November 11; both exams will be held from from 8:30 to 10:00 PM. The final exam will be on Tuesday, December 16 from 11:00 to 1:30 pm. Make sure that you are available at these times, as there will be no make-ups for missed mid-term exams. Calculators, books, notes, etc. are not allowed during exams. If you miss an exam for an acceptable reason and provide an acceptable written excuse, the relevant mid-term will be dropped' in computing your course grade. A letter stating that you were seen by a doctor or other medical personnel is not an acceptable document. An acceptable document should state that it was reasonable/proper for you to seek medical attention and was medically necessary for you to miss the exam (the note/letter need not state anything beyond this point). Incomplete grades will be granted only if documented circumstances beyond your control prevent you from taking the final exam. You must have ID to be admitted to exams.

Grading: your course grade will be based on your examination performance, quizzes, and homework, weighted as follows:
Midterm I 20%
Midterm II 20% 
 Final Exam 40%
 Quizzes 10%
 Homework  10%

Help: The Math Learning Center (MLC) is in S-240A of the math building. This is a place where students can go for help with pre-calculus and calculus material and where study groups can meet. The MLC is open 11am-9pm Monday through Wednesday,   11am-6pm Thursday and 11am-2pm on Friday. For more information on the Math Learning Center, please click here.

DSS advisory: If you have a physical, psychiatric, medical, or learning disability that could adversely affect your ability to carry out assigned course work, we urge you to contact the staff in the Disabled Student Services office (DSS), Room 133 Humanities, 632-6748/TDD. DSS will review your situation and determine, with you, what accommodations are necessary and appropriate. All information and documentation of disability is confidential.

Schedule (tentative): The following is the basic syllabus, but not all topics in each section will get covered. Please read the relevant parts of the book before class.

Week Topic Notes Homework
9/3-9/5 Modeling with differential equations   7.1: 1,3,6acd,9,12,14
9/8-9/12 Line fields/Euler's method   7.2: 1,3,5,18,28
9/15-9/19 Separable equations   7.3: 1-4,6,9,11,15,34-35,37
9/22-9/26 Exponential growth and decay Section 2: hand in 7.4 # 18 on 10/7 7.3 : 24; 7.4: 1,4,6a,9,10,11,18,20
9/29-10/3 The logistic equation   7.5: 3,6,7,9
10/7-10/10 Predator-prey systems   7.6: 1,3,6
10/13-10/17 Sequences Midterm I, Monday, 8:30-10:00 pm, in ESS 001, on Chapter 7 8.1: 3-6, 9-14, 17-20, 39-40
10/20-10/24 Series   8.2: 8, 9, 12, 14, 16, 17, 18, 20, 39, 46
10/27-10/31 Convergence tests In-class quiz this week, on sections 8.1 and 8.2 8.3: 1-3, 9, 10, 12, 15, 16, 18, 19, 25, 35. In these problems, don't just say "it converges" or "it diverges"; you must explain WHY.
11/3-11/7  More convergence tests 11/4: last day to change to or from P/NC option; last day to withdraw from the course 8.4: 3-5, 7, 8, 12, 13, 22, 23, 25, 32.
11/10-11/14 Power series; Review Midterm II, Tuesday, 8:30-10:00 p.m., in ESS 001. Covers pages 563-595 (inclusive). (We left out the subsection on "Estimating the Sum of a Series" in section 8.3, and Example 11 on page 570.) 8.5: 3, 5, 6, 7, 8, 10, 11, 20.
11/17-11/21 Representing functions as power series   8.5: 12, 16; 8.6: 4, 6, 8, 10, 11, 14, 22, 26, 33
11/24-11/26 Taylor and Maclaurin series No classes in session 11/27-11/28 8.7: 1,9,10,11,8
12/1-12/4 Taylor and Maclaurin series cont.; Power series and ODEs  In-class quiz this week 8.7: 18, 20, 22, 24, 35, 36, 39, 40, 41; 8.10: 2, 3
12/8-12/12 Review   8.10: 5 (don't hand in)
12/15-12/19   Final Exam Tuesday Dec. 16, 11:00-1:30 pm, in ESS 001. Covers the whole semester's work, but focuses on sections 8.5, 8.6, 8.7 and 8.10. Review session: Sunday, Dec 14, 6 p.m. - late, P-131 Math Building. All welcome.