General information
Instructor: Wouter van Limbeek
Office: SEO 511
Email: wouter@uic.edu
Book: John M. Lee's Introduction to Smooth Manifolds . Available for free download from the UIC Library here.
Other recommended sources (in no particular order):
1. Guillemin, Pollack: Differential topology.
2. Milnor: Topology from the Differentiable Viewpoint.
3. Hirsch: Differential Topology.
Grades: Blackboard.
Syllabus: Download.
Lectures: MWF, 900-950 AM in AH 303.
Office hours: M, 4-5 pm and T 2-3 pm.
Exams
Midterm: 3/4, in class.
Final: TBA
Assignments
Due : Beginning of class on date listed on Gradescope.Note: Deadlines are hard deadlines due to posting of solutions.
Numbers refer to end-of-chapter problems in the textbook, NOT mid-chapter exercises.
Homework 1 (due 1/21, solutions ): 1-1, 1-3 (you may use Prop. A.16), 1-6, 1-7, 1-9, 1-11.
Homework 2 (due 1/28, solutions ): 2-2 (see also Exs 1.8 and 1.34), 2-3, 3-1, 3-6, 3-8 (see p. 72 for definition of velocities and 3.23 for surjectivity).
Homework 3 (due 2/4): 2-7, 2-10, 2-14, 3-2, 3-3, 3-4.