2016 Fall Course Syllabus - Mathematics 3137.001

2016 Fall Course Syllabus - Mathematics 3137.001

Course: Mathematics 3137.001.

Course Title: Real and Complex Analysis I.

Time: MWF 9:00-9:50, W 8:00-8:50.

Place: Wachman 9.

Instructor: John J. Schiller.

Instructor Office: Wachman 606.

Instructor Email: john.schiller@temple.edu

Instructor Phone: 215-204-7844.

Office Hours: MF 8:00-8:50 or by appointment.

Prerequisites: Math 2043 with a grade of at least C and Math 2111 with a grade of at least C-, or equivalent transfer credit.

Textbook: Understanding Analysis, 2nd edition, by Stephen Abbott, published by Springer.

Course Goals: To provide students with a rigorous foundation for real and complex analysis.

Topics Covered: Real and complex number systems, completeness, sequences and series, basic topology of the real and complex number systems, functional limits and continuity, the derivative, sequences and series of functions.

Course Grading: The grade is based on six quizzes, three tests, and a comprehensive final exam. The quizzes count 10%. If the lowest score on the three tests and final is on one of the tests, then that counts 10%, the other two 20% each, and the final 40%. If the final exam is the lowest score, then all three tests and the final count 22.5% each.

Exam Dates: The three tests will be fairly evenly spaced throughout the semester, there will be two quizzes before each test, and the final exam will be on Wednesday, December 21, 8:00-10:00 a.m.

Attendance Policy: Attendance and participation in class are expected and will be factors in determining grades in borderline cases.

Any student who has a need for accommodation based on the impact of a disability should contact me privately to discuss the specific situation as soon as possible. Contact Disability Resources and Services at (215) 204-1280, 100 Ritter Annex, to coordinate reasonable accommodations for students with documented disabilities.

Freedom to teach and freedom to learn are inseparable facets of academic freedom. The University has adopted a policy on Student and Faculty Academic Rights and Responsibilities (Policy # 03.70.02) which can be accessed here.

Students will be charged for a course unless dropped by the Drop/Add deadline date. Check the University calendar for exact dates.

During the first two weeks of the fall or spring semester, students may withdraw from a course with no record of the class appearing on the transcript. In weeks three through nine of the fall or spring semester, or during weeks three and four of summer sessions, the student may withdraw with the advisor's permission. The course will be recorded on the transcript with the instructor's notation of "W," indicating that the student withdrew. After week nine of the fall or spring semester, or week four of summer sessions, students may not withdraw from courses. No student may withdraw from more than five courses during the duration of his/her studies to earn a bachelor's degree. A student may not withdraw from the same course more than once. Students who miss the final exam and do not make alternative arrangements before the grades are turned in will be graded F.

The grade I (an "incomplete") is reserved for extreme circumstances. It is necessary to have completed almost all of the course with a passing average and to file an incomplete contract specifying what is left for you to do. To be eligible for an I grade you need a good reason and you should have missed not more than 25% of the first nine weeks of classes. If approved by the Mathematics Department chair and the CST Dean's office, the incomplete contract must include a default grade that will be used in case the I grade is not resolved within 12 months.

Year
Semester
Course
Section