Time: Mondays, Wednesdays and Fridays, at 12:0012:50pm
Location: East Hall B844
Instructor: Linh Truong (tlinh@umich.edu, office: East Hall 4842)
Office hours: Tuesdays 12:30pm, Wednesdays 45:30pm
Grader: James Walrad (walrad@umich.edu)
Course Information: Syllabus
Textbook: Topology, 2nd edition, by James Munkres
Course Overview: This course is an introduction to pointset topology and algebraic topology.
In the first half of this course, topics will include metric spaces, topological spaces, continuous functions and homeomorphisms, separation axioms, quotient and product topology, compactness, and connectedness. We will then cover elements of algebraic topology including fundamental groups and covering spaces.
Dates  Topics  

Week 1: Jan 5  Jan 7  Introduction, Topological Spaces (Ch 2, Sec. 12)  
Week 2: Jan 10  Jan 14  Topological Spaces, Bases, Examples (Ch. 2, Sec. 1316)  
Week 3: Jan 19  Jan 21  Limit Points and Continuous Functions (Ch. 2, Sec. 1718)  
Week 4: Jan 24  Jan 28  Product, Metric, and Quotient Topologies (Ch. 2, Sec. 1922)  
Week 5: Jan 31  Feb 4  Connectedness (Ch. 3)  
Week 6: Feb 7  Feb 11  Connectedness, Compactness (Ch. 3)  
Week 7: Feb 14  Feb 18  Compactness (Ch 3, Sections 2729)  
Week 8: Feb 21  Feb 25 
Review
Midterm: Friday, Feb 25 

Feb 28  Mar 4  Spring break  
Week 9: Mar 7  Mar 11  Countability and Separation Axioms (Ch. 4, Sec 3032)  
Week 10: Mar 14  Mar 18  Fundamental Group (Ch. 9, Sec. 5152)  
Week 11: Mar 21  Mar 25  Covering Spaces (Ch. 9, Sec. 5354)  
Week 12: Mar 28  Apr 1  Fundamental Group II (Ch. 9, Sec. 5557)  
Week 13: Apr 4  Apr 8  Fundamental Group III (Ch. 9, Sec. 5860)  
Week 14: Apr 11  Apr 15  SeifertVan Kampen Theorem (Ch. 11)  
Week 15: Apr 18  Review  
Tuesday, April 26
10:30am  12:30pm 
Final Exam 