MTG4303/MTG5317 Elements/Intro Topology 2
MTG4303/MTG5317, the Intro Topology 2 Syllabus
Text:
“Topology” by James Munkres
Schedule and Room:
MWF 6 LIT 221
Grading:
20% Presentation+20% HomeworkQuizzes+20%Midterm+40%Final; A if >85, B+ if > 80, B if > 70, C+ if > 65, C if > 50, D+ if >40, D if >30.
Home-taken Final, One in class presentation, three quizzes and one in class Midterm
based on the Homework. Home work is not graded.
.Extra credit: up to 5 pts for solving a * rated problem.
Attendance is strictly recommended.
Office Hours:
MW7 LIT 424
Description of the Course:
(Chapters 4-14, Sections 35-77)
- Tietze extension theorem (35)
- Tychonoff theorem (37)
- Stone–Cech compactification (38)
- Homotopy of paths (51)
- The fundamental group (52)
- Covering spaces (53)
- Fundamental group of circle (54)
- Brouwer and Borsuk-Ulam theorems (55,57)
- Seifer-van Kampen theorem (67,68,70, 71,72)
- Classification of surfaces (74,75,76,77)