## MAT 127 CALCULUS C FALL 2007

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MAT 127 is the final course of the three-semester calculus sequence MAT 125, 126 and 127. We shall cover differential equations, sequences and series, power series and their applications. Since there are no recitations, part of the lectures will be devoted to discussing homework.

TEXTBOOK: Single Variable Calculus, Stony Brook Edition, by J. Stewart, Thomson, 2006. We shall cover chapters 7 and 8. We shall also use the following Notes on Second Order Linear Differential Equations.

MEETING TIMES. There are four Lectures 01-04: Lec 01 (Bulawa), MWF 9:35am-10:30am, Harriman Hll 112; Lec 02 (Wang) , MW 5:20pm-6:40pm, Physics P118; Lec 03 (De Cataldo), Tu-Th 2:20pm-3:40pm, Harriman Hll 108; Lec 04 (Cheraghi) , Tu-Th 5:20pm-6:40pm, Harriman Hll 116.

ETIQUETTE: Punctuality: no late arrivals, no early departures: they are disruptive. If, occasionally, you need to arrive late and/or leave early, let the instructor know beforehand. Silence: it is always a good rule and even more important for us since it is a big class; do show respect to other fellow students by not disturbing the class. NO CELLULAR PHONES. NO FOOD.

PREREQUISITES: The course is heavily dependent on the material you have studied in MAT 125 and 126. You are therefore encouraged to review the following material from your textbook:

Chapter 1, Section 5,6; Ch. 2, Sec. 2-8; Ch. 3, Sec. 1,2,4-7, Ch. 5, Sec. 3-7,10; Appendices A,B,C,F.

GRADE: Midterm I = 25%, Midterm II =25%, Final = 35%, Homework = 15%.

Maximum scores: Midterms 1 and 2: 250pts each; each homework: 15pts (the best ten are used to grade); Final 350pts. Total maximum: 1000pts. The numerical grade will be converted to a final letter grade only AFTER the final test has been graded. However, after each midterm an approximate letter grade will be given to you.

To do well in this class we strongly encourage you to: read the section to be covered before class, do the homework, plan to work on reading and homework for 6-8hours a week, start preparing for tests well in advance.

SCHEDULE OF EXAMS. The sections to be covered will be announced well in advance. Bring your Stony Brook ID. No books, no notes, no calculators, no phones etc. Be sure to be available on these days and times:

Midterm I: TUESDAY OCTOBER 9, 8:30-10:00PM (EVENING EXAM).

LOCATION: Lectures 01, 02 in OLD CHEM 116. Lectures 03, 04 in ESS 001.

Covers sections 8.1, 8.2, 8.3 and 8.4.

HOW TO PRACTICE. Do the following 10 problems. 8.1: 46.b 8.2: 12, 28, 41,52 8.3: 28c 8.4: 33, 13, which among the series 26,28,29,23 in section 8.4 is absolutely convergent?, 31. The actual test will be 10 multiple choice questions. The practice problems resemble in diffculty and length the actual test. Practice by keeping in mind this. You may practice by going over the homework and the other related problems in the exercise sections. You should understand when you can use a convergence/divergence test and when/how to use the theorems in sections 8.1, 8.2, 8.3, 8.4. You may be asked something like: if a series converges, does it converge absolutely?

Solutions to sample test I (available now). Even if we suggest using the calculator in a few sample problems, there will be no need for a calculator in the test. Calculators are NOT allowed on the test.

Appoximate curve (please remember that we curve only after ALL tests are taken; this is just an indication of how you are doing right now): A range: 200 and up; B range 175 and up; C range 125 and up. D range 100 and up. The average score was somewhat low: about 131/250. We will consider this when curving after the final.

Midterm II: WEDNESDAY NOVEMBER 7, 8:30PM (EVENING EXAM).

LOCATION: Lecture 01 in OLD ENG 143; Lecture 02 in OLD ENG 145. Lectures 03, 04 in ESS 001.

Covers sections 8.5, 8.6, 8.7, 8.8 and 8.9.

Test consists of 5 multiple choice and 4 partial credit problems.

Data for midterm II: curve is as in midterm I. It is an indication only.

Final: TUESDAY DECEMBER 18, 2:00-4:30PM.

Locations. Lecture 01: JAVITS 109. Lecture 02: JAVITS 111. Lecture 03: HUMANITIES 1003; Lecture 04: Humanities 1006.

Final covers chapters 7 and 8, with some emphasis on chapter 7. Final consists of 8 multiple choice (20x8=160pts) and 5 partial credit (5x40=200) problems.

How to prepare. There will be no sample final test. You can prepare by doing the assigned homework, similar problems in the hmk sections as well as in the review sections at the end of each chapter. Here is a list of _some_ of the topics you should know. Ch. 7: direction fields, Euler's method, separable equations, initial value problem, orthogonal trajectories, mixing, population growth, decay, cooling, interest, second order equations and initial value problems, the logistic equation, predator-prey (equilibrium solutions, phase portrait, sketches of R and W. Ch. 8: Sequences: limits, increasing/decreasing, bounded (below/above), monotonic sequence theorem. Series: geometric, telescopic, harmonic, test for divergence, integral test, p-series, comparison test, limit comparison test, remainder estimate integral/alternating, alternating series test, absolute convergence theorem, ratio test, power series (center, radius, endpoints), functions as power series, derivatives/integrals, Taylor/MacLaurin series, Taylor's polynomial, Taylor's inequality, list of MacLaurin series on page 612 (also log(1+x), ...), binomial series.

Average in the final test: 160. Final was curved to determine A and C grades for the final: A>=310. C >=200. Other letters grade for the final are not determined and are irrelevant to grade in the course.

Important. You must bring your SUNY ID to the exams. You should know your lecture number 01-04 and your instructor's last name. There will be no make-ups for missed exams and homework. However, if you miss a midterm exam for an acceptable and documented reason, then the relevant mid-term will be `dropped' (ignored) in computing your course grade. A letter stating that you were seen by a doctor or other medical personnel is NOT an acceptable document, unless it states that it was reasonable/proper for you to seek medical attention and medically necessary for you to miss the exam (for privacy reasons this note/letter need not state anything beyond this). If you miss more than one midterm etc., we shall evaluate the circumstances. Incompletes will be granted only if documented circumstances beyond your control prevent you from taking the final exam.

### CURVE FOR THE COURSE

A > = 820;

780 < = A- < = 819;

740 < = B+ < = 779;

680 < = B < =739;

640 < = B- < = 679;

580 < = C+ < = 639;

500 < = C < = 579;

400 < = D < =499;

F < = 399;

WEEK-BY-WEEK SYLLABUS. We shall cover Ch. 8 first, then Ch.7.

Week of Sep 03 : 8.1

Week of Sep 10 : 8.2

Week of Sep 17 : 8.2, 8.3

Week of Sep 24 : 8.3, 8.4

Week of Oct 01 : 8.5, 8.6

Week of Oct 08 : 8.7.

Week of Oct 15 : 8.7, 8.8.

Week of Oct 22 : 8.9 (ends chapter 8).

Week of Oct 29 : 7.1, 7.2.

Week of Nov 5 : 7.2, 7.3.

Week of Nov 12 : 7.3, 7.4.

Week of Nov 19 : 7.4 and TKSgiving

Week of Nov 26 : ODE Lecture notes.

Week of Dec 03 : 7.5 (analytic solution only), 7.6

Week of Dec 10 : Review

Hmk 1, due week of Sep 10: 8.1: 4,6,9,14,15,19,20,23,27,40,41,44,46,51.

## HOMEWORK MUST BE STAPLED WITH A METALLIC STAPLE

Hmk 2, due week of Sep 17: 8.2: 9,11,13,15,21,22,24,26.

Hmk 3, due week of Sep 24: 8.2: 27,31,35,37,44 AND 8.3: 1,2,6,7,9,13,17,21.

Hmk 4, due week of OCT 1: 8.3: 24,26,29c.33(estimate error only),35 AND 8.4: 5,7,8,11,13,17,20,25,29,31,33.

Hmk 5, due week of OCT 8: 8:5: 3,7,11,17,19,21,26 AND 8.6:3,7,9,11,13, 21,25.

Hmk 6, due week of OCT 15: 8:7: 2,5,7,9,15,17,19,23,31 (so that the error is less that 0.00001), 33,49,54.

Hmk 7, due week of OCT 22: 8:7: 41,42,45,48; 8.8: 1,3,5,9,13,15.

Hmk 8, due week of OCT 29: 8:9: 3,5,7 (no graphing); 11, 13, 15 (for these: parts a) and b) only); 19 (with error less than 0.00001); 22, 25, 27,29 (do not need to know physics for these).

Hmk 9, due week of NOV 5: 7.1: 3,4,7,9,10,11,12; 7:2 : 1,2,3,4,7,8,14.

Hmk 10, due week of NOV 12: 7.2: 19,21,22,23,24 ; 7:3 : 3,5,7,9,11,15,16.

Hmk 11, due week of NOV 19: 7.3: 23-24-25-26 (no graphing for these), 35,38,39,40 ; 7:4 : 2,3,5,8,9,11,12.

Hmk 12, due week of NOV 26: 7:4 13,15,16,18a,19,20,22.

Hmk 13, due week of DEC 03: ODE Lecture notes: 1-16 (all sixteen of them).

Hmk 14, due week of DEC 10: LAST HMK: Hurrah!. 7.5: 3,5,6,7,9; 7.6: 1,2,3,7(first part only: no graph/drawing),8.

CONTACTING THE STAFF (instructors and hmk graders. The best way is to approach us after the lectures/recitations or to see us during office hours. You may use e-mail, but it is less efficient. E-mail is not, however, a good way to ask math questions, as our typing abilities are very limited. After the course is over, if you have any questions about your final grade send a letter (not an e-mail) to your instructor, c/o Dept. Math, SUNY Stony Brook, Stony Brook N.Y. 11794-3651. You will receive a written reply. These matters will be dealt with in writing only; that way, we have a written record of what the student says, and what we reply.

Instructors:

Lec 01 (MWF 9:35-10:30) A. Bulawa; abulawa at math dot sunysb dot edu ; Office Hours: MO 10:30--11:30 MAT 2-121, Tu&Th 10-11 MLC.

Lec 02 (MW 5:20-6:40) Q. Wang; qwang at math dot sunysb dot edu ; Office Hours: WE 12-2 MAT TOWER 4-120 , MO 12-1 MLC.

Lec 03 (Tu-Th 2:20-3:40) M. de Cataldo; mde at math dot sunysb dot edu ; Office Hours: MAT TOWER 5-108, TU&TH 9:45am--11:15am.

Lec 04 (Tu-Th 5:20-6:40) D. Cheraghi; cheraghi at math dot sunysb dot edu ; Office Hours: MO 3-5pm MLC, TU 3-4.

Lec 01 and 02: X. Wang; wang at math dot sunysb dot edu; O.H.: MAT TOWER 4-116 TU&TH 10-11am, MLC WE 8-9pm

Lec 03 and 04: Y. Zhang; yzhang at math dot sunysb dot edu ; O.H.: Tu 4-5 MLC, WE 4-6 MLC (Office S-240 Z).

SUPPORT RESOURCES : (*) The MATH LEARNING CENTER (MLC), located in MATHEMATICS BUILDING, FLOOR S, ROOM S-240A, (631) 632-9845, is a place where students can go for help and/or to form study groups. Check the link for more info. Their hours are: MTuW 10-9, Th 10-6, F 10-2. (**) The instructors have regular office hours.

SPECIAL NEEDS. If you have a physical, psychological, medical, or learning disability that may impact on your ability to carry out assigned course work, you are strongly urged to contact the staff in the Disabled Student Services (DSS) office: Room 133 in the Humanities Building; 632-6748v/TDD. The DSS office will review your concerns and determine, with you, what accommodations are necessary and appropriate. All information and documentation of disability is confidential. Arrangements should be made early in the semester (before the first exam) so that your needs can be accommodated.

• Mark Andrea de Cataldo's homepage.