Math 470 - Topology


Important dates:

Midterm 1:
Fall Break: .
Midterm 2:
Thanksgiving Break:
Last Day of Classes:
Final Exam:


Current Assignment:

 

 

 


Schedule:

Week 1: Chapter 1, Sections 1.1, 1.2, 1.3 (Equivalence, Bijections, Continuous Functions)

Week 2: Chapter 1, Sections 1.3, 1.4 (Continuous Functions, Topological Equivalence)

Week 3: Chapter 1, Section 1.5 (Topological Invariants), Chapter 2, Section 2.1 (Knots, Links and Equivalence)

Week 4: Chapter 2, Sections 2.2, 2.3, 2.4 (Knot Diagrams, Reidemeister Moves)

Week 5: Chapter 2, Sections 2.4, 2.5 (Colorings, Alexander Polynomial)

Week 6: Chapter 2, Sections 2.6, 2.7 (Skein Relations, Jones Polynomial)

Week 7: Chapter 2, Section 2.7 (Jones Polynomial), Review, EXAM 1

Week 8: Chapter 3, Sections 3.1, 3.2, 3.3 (Surfaces, Cut and Paste, Euler Characteristic), Midsemester Day, Friday Oct 22

Week 9: Chapter 3, Sections 3.4, 3.5 (Classification of Surfaces, Surfaces Bounded by Knots)

Week 10: Chapter 4, Sections 4.1, 4.2, 4.3 (3D Manifolds, Shape of Space, Euler Characteristic, Glueing Polyhedra Solids)

Week 11: Chapter 6, Sections 6.1, 6.2, 6.3 (Deformations with Singularities, Invariance of Fundamental Group)

Week 12: Chapter 6, Sections 6.4, 6.5 (The Sphere and the Circle), Chapter 7, Section 7.2 (Topological Spaces), Review

Week 13: EXAM 2, Thanksgiving Break, Nov 25-26

Week 14: Chapter 7, Sections 7.3, 7.4 (Connectedness, Compactness)

Week 15: Chapter 7, Section 7.5 (Quotient Spaces), Review


Previous Assignments: