Basic Geometry and Topology
Fall Semester, 2021
Text: There is no required textbook. See the syllabus for information about additional references.
Grades: Grades will be based on a total of 450 points, distributed as follows:
Midterm Exam - 100 points;
Final Exam - 150 points;
Quizzes - 100 points;
Homework - 100 points;
Exams: The midterm as well as the final exam will both consist of two parts: a take-home and an in-class part, each worth half of the total points. The in-class part, similar to the quizzes, is about definitions and theorems, possibly requiring some basic calculations, but involving no proofs. The take-home part, similar to homework problems, will involve more extensive calculations and proofs.
Homework: Homework is an integral part of the course. You are permitted,
in fact encouraged, to work together and help one another with homework, although what you turn in should be written by you. Providing detailed arguments in your homework is important, since learning how to write mathematics in a rigorous and yet concise and readable way is an essential part of graduate school in mathematics. Homework problems will be posted on the course web-page and will be due in class on the day specified on the homework website. After the due date I will provide detailed solutions to each homework set online. For this reason I won't accept late homework.
Pre/post lecture preparation: As with most math classes, the material in one class
often depends heavily on stuff covered in previous classes.
Hence it is a good idea to look over your notes before the next class. I'm very happy to discuss questions concerning the material of previous classes at the beginning of each class.
Quizzes: There will be short quizzes (weekly or every other week) on a to be determined day of the week testing basic understanding of definitions and theorems.