** 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).

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

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

Sample test II with solutions (available before test).

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.

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

** HOMEWORK:**
Posted here
every mid-week and
due
the following week. Ask your instructor on which day. Graded homework
will be
returned in
class the following week. Ask your instructor on which day. If you do
not come
to class on that day you may collect
it during the grader's office hours (posted below).
Questions about the grading
of the homework should be directed to the grader.
Only four of the problems will
be graded, but which
ones will not be announced in advance. Each graded problem
is worth up to 4 pts (maximum score is 16 pts which is more than
the 15pts mentioned above,
but this is
to the student's advantage). ** Late
homework will
not be accepted.** The homework ** must be stapled WITH
A METALLIC STAPLE. **
** No exceptions.** ** Show your work towards
the answer:**
a correct answer with an incorrect or absent
procedure
will yield 0 points.

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

**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.

** Hmk Graders:**

** 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.