Course Syllabus :
Set Theory and Logic, Topological Spaces and Continuous Functions, Connectedness and compactness, Tychonoff's theorem, Countability and Separation Axioms, normal and regular spaces, Urysohn-Tietze theorems, Complete Metric Spaces and Function Spaces, Baire Category Theorem.
Schedule:
Tuesday, 10:00--12:00
Thursday, 15:00--17:00
Friday, 12:00--13:00 (Quiz day every third week)
Instructor: Badri Vishal Pandey
Email: bpandey[at]ksom[dot]res[dot]in
Office Hours:
By Appointment
Suggested texts :
James R. Munkres, Topology, Prentice Hall, Inc., Upper Saddle River, NJ, 2000, Second edition
I. M. Singer and J. A. Thorpe, Lecture notes on elementary topology and geometry, Springer-Verlag, New York-Heidelberg, 1976, Reprint of the 1967 edition, Undergraduate Texts in Mathematics.
George F. Simmons, Introduction to topology and modern analysis, McGraw-Hill Book Co., Inc., New York-San Francisco, Calif.-Toronto-London, 1963.
Lecture Notes:
Week 1: Handwritten notes, Latex Notes
Week 2 Handwritten Notes, Latex Notes
Week 3 Handwritten Notes, Quiz 1
Week 4 Notes
Week 5 Notes
Week 6 Notes, Quiz 2
Week 7 Notes
Week 8 Notes
Week 9 Mid Semester Exam
Week 10 Notes
Week 11 Notes
Week 12 Notes, Quiz 3
Week 13 Notes
Week 14 Notes
Werek 15 Notes, Quiz 4
Week 16 notes
Week 17 Preparation break
Week 18 End Semester Exam
Assignments:
Week 1 Assignment
Week 2 No Assignment
Week 3 Assignment
Week 4 No Assignment
Week 5
Week 6 No Assignment
Week 7
Week 8 No assignment
Week 9 No assignment
Week 10
Week 11 No Assignment
Week 12
Week 13 No Assignment
Week 14
Week 15 No Assignment
Week 16
Week 17 No assignment
Week 18 No assignment
Point breakdown:
Assignments (20%)
Quizzes (10%)
Mid-semester test (20%)
End semester test (50%)