**Our final exam is at ****11:15am**** on
Wednesday, 12/14 in Engineering 145**

**MAT 127-Fall 2016 (For
lectures 2, 3, and 4 only.)**

__Course Description:__ This is a course in infinite series, polynomial
approximations and a very brief introduction to what we call ordinary
differential equations. (More extensive undergraduate courses in the very
important topic of differential equations are MAT 303, AMS 361, and MAT
308.) Calculators will ** not** be used on exams this
semester, but it is recommended that you bring a graphing calculator to your
lecture. By the end of the course, students will be able to approximate
transcendental functions with polynomials, determine if a series converges,
integrate with infinite series, find the sum of some infinite series, solve
separable differential equations and apply them to a variety of situations in
and outside mathematics. There will be a focus on concepts and theory as well
as computations and applications. Topics will be addressed numerically,
algebraically, and graphically. This is an exciting 3 credit course which will
require a great deal of your attention! A grade of C or higher in this course
may be used to satisfy the Quantitative Problem Solving requirement of the
Stony Brook Curriculum.

__Course Coordinator__: Bill Bernhard (bill@math.sunysb.edu)

The meeting time of all
lectures and recitations with instructor names can be found under MAT 127 at ** http://www.math.sunysb.edu/schedules/currentsem.html**.

__Required materials:__ Single Variable calculus by James Stewart 4^{th}
edition (stony brook edition) and a webassign access
code.

__Syllabus: __Your lecturer will assign paper homework from the
textbook in class. Here is the weekly topical outline:

8/29: 8.1 sequences

9/5: 8.2 geometric series

9/12: 8.2 divergence test and
telescoping sums

9/19: 8.3 the integral
test

10/3: 8.3 comparison and
limit comparison tests

10/10: 8.4 ratio test and
alternating series test

10/17: 8.4 absolute
convergence

10/23: 8.5 power series and
the interval of convergence

11/7: 8.7

11/14: 8.6 Integration and
power series

11/21: 7.1 Introduction to
differential equations

11/28: 7.3/7.4 Separable
differential equations

12/5: Review for Final

__Grading:__* *Exam #1 (20%) Wednesday, 9/28 at

Exam #2 (20%) Wednesday, 11/2
at 8:45 PM covering 8.3, 8.4, 8.5

Final Exam (40%) Wednesday, 12/14 at 11:15 AM covering chapter
7 and chapter 8.

Webassign (20%) Except for weeks with holidays or exams, webassign will be assigned on Tuesdays at 10PM and due
Sundays by 11PM. Access is through www.webassign.net. The first assignment will
be given on 8/29 and due on 9/4. You need your access code which you purchase
and the course code which is sunysb 8354 5482.

**DSS advisory:** If you have a physical, psychiatric,
medical, or learning disability could adversely affect your ability to carry
out assigned course work, we urge you to contact the Disabled Student Services
office (DSS), Educational Communications Center (ECC) Building, room 128, (631)
632-6748. They will determine with you what accommodations are necessary and
appropriate. All information and that documentation is confidential. Students
requiring emergency evacuation are encouraged to discuss their needs with their
professors and Disability Support Services. For procedures and information, go
to the following web site:
http://www.stonybrook.edu/ehs/fire/disabilities.shtml

**Disruptive Behavior:** Stony Brook University expects
students to maintain standards of personal integrity that are in harmony with
the educational goals of the
institution; to observe national, state, and local laws and University
regulations; and to respect the rights, privileges, and property of other
people. Faculty are required to report
to the Office of Judicial Affairs any disruptive behavior that interrupts their
ability to teach, compromises the safety of the learning environment, and/or
inhibits students' ability to learn.