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 4th 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 Taylor series

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 8:45 PM covering 8.1. 8.2, and half of 8.3

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.