2018 Spring Course Syllabus - Mathematics 4083.001
Course: Mathematics 4083.001.
Course Title: Senior Directed Reading. Topology.
Time: Fridays 2:55-4pm.
Place: Wachman, 617.
Instructor: Vasily Dolgushev.
Instructor Office: Wachman 530.
Instructor Email: vasily.dolgushev@temple.edu
Instructor Phone: 215-204-7287.
Course Web Page: I will post all the necessary materials on the Canvas page of this course
Office Hours: Tuesdays, Thursdays 2-3:30pm and by appointment.
Prerequisites: Math 2111 (Basic concepts of Mathematics).
Textbook: M. Manetti, Topology, Springer 2015.
Course Goals: To study point set topology and rudiments of algebraic topology.
Topics Covered: Topological and metric spaces. Continuity, compactness, connectedness, quotient topology. Homotopy, fundamental group, covering spaces, van Kampen's theorem.
Course Grading: Homeworks: 70%. Writing project: 30%.
Exam Dates: There will be no tests in this course.
Attendance Policy: Attendance will not be monitored.
Format of the Course: This course is a directed reading which means that we will not have regular lectures. Every week, I will assign a chunk of material from the textbook and a set of exercises. During our weekly meetings, we will discuss what you learned during the week and I will try to answer your questions about the material and the homework exercises. (Please, also feel free to come to my office hours.) Weekly homeworks will be collected and will be graded. By the end of the semester, you should produce a written report (see below). Ideally, this report should look like a condensed version of lecture notes for the whole course.
Homeworks: Weekly homework assignments will be posted on the Canvas page of this course. You may work together on homework assignments, but I expect everybody to write up their own solutions; obvious copies will not be accepted. You have to justify all your steps in your work on homework assignments. Also, please, write legibly! Your score will be reduced for not writing legibly and for not justifying your steps. When computing your overall homework average, the lowest homework score will be dropped.
The Report: Please, write notes of the material you will be learning from the textbook (and possibly other sources). At the end of the semester, you are expected to submit a written report which should be a condensed version of your notes. Your report should be between 8 and 12 pages long. It should be typed using LaTeX (strongly preferred) and submitted in the PDF format. The first draft of your report should be submitted before or on April 16 (Monday). (I will try to give you a feedback on your draft within a week.) The final version of your report should be submitted before or on May 4 (Friday). You may collaborate with other students when you work on your report. However, I expect everybody to write up their own reports.
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 Drop/Add period, students may drop a course with no record of the class appearing on their transcript. Students are not financially responsible for any courses dropped during this period. In the following weeks prior to or on the withdrawal date students may withdraw from a course with the grade of "W" appearing on their transcript. After the withdrawal date students may not withdraw from courses. Check the University Calendar (Opens in new tab/window) for exact dates. See the full policy by clicking here. (Opens in new tab/window)
The grade "I" (an "incomplete") is only given if students cannot complete the course work due to circumstances beyond their control. It is necessary for the student to have completed the majority of the course work with a passing average and to sign an incomplete contract which clearly states what is left for the student to do and the deadline by which the work must be completed. The incomplete contract must also include a default grade that will be used in case the "I" grade is not resolved by the agreed deadline. See the full policy by clicking here. (Opens in new tab/window)