# Course Material for Differential Topology, Spring 2005, 110.472

Professor: W. Stephen Wilson, Krieger 421, (410) 516-7413, wsw@math.jhu.edu

Textbook: Differential Topology, by Bjorn Ian Dundas, free, here online.

Classroom is Maryland 217, MTW 10:00-10:50.

Attendance is required. There were be little exams whenever I feel like giving them. You can work homework together but you must write up individually.

• Week of April 11 and April 18. We will continue going through chapter 8. It is full of good stuff and will take some time before we can move on properly.

• Reading assignment for Monday, April 4, start of class. Chapter 8, just pages 112-122. Sections 8.4.2 and 8.5-9.

Homework assignment for Monday, Apr 11, start of class. 8.4.4, 8.4.8, 8.6.5 and 8.6.8.

• Reading assignment for Monday, Mar 28, start of class. Chapter 8, just pages 101-111. Sections 8.1-3 and 8.4.1.

Homework assignment for Monday, Apr 4, start of class. 8.2.5, 8.2.6, 8.3.4, and 8.3.6.

• Reading assignment for Monday, Mar 21, start of class. Chapters 6-7, Pages 88-99. Sections 6.5-6 and 7.1-5.

Homework assignment for Monday, Mar 28, start of class. 6.5.2, 6.5.6, 7.2.1, and 7.2.3.

• Reading assignment for Monday, Mar 7, start of class. Chapter 6, Pages 75-87. Sections 6.1-4.

Homework assignment for Monday, Mar 21, start of class. 6.2.3, 6.4.9, 6.4.16, 6.4.24.

• Assignment for Monday, Feb 28, start of class.

Homework: 5.2.4, 5.4.5, 5.5.9, and 5.5.16

• Assignment for Monday, Feb 21, start of class.

Homework: 4.2.6, 4.3.10. Using our definition of the tangent vector look at the unit circle in the plane and for a point (a,b) on the circle actually calculate the tangent vector to the circle as a vector in the plane.

This is slightly problematic. There are only 2 exercises in the whole chapter. That makes your homework assignment a little short (so you better be sure and do it all well). I will manage to find things for us to do in class. Don't worry.

• Assignment for Monday, Feb 14, start of class.

Reading: Chapter 3, Sections 3.4, 3.5, and 3.6. Pages 30-42.

Homework: 3.2.10, 3.5.14, 3.6.7, and 3.6.16

• Assignment for Monday, Feb 7, start of class.

Reading: Chapters 1, 2, 10 and 11, plus pages 21-30 of Chapter 3, i.e. 3.1-3.

Homework: 10.2.2, 10.7.10, 10.9.2, 2.2.5.