




Introduction  Section 1.1  Exercises 1.2, 1.5, 1.7
Show that the following is a projection of the righthanded trefoil: 

Composition of Knots  Section 1.2  Show that the figure8 knot is amphichiral.
Exercises 1.8, 1.9 

Reidemeister Moves  Section 1.3  Demonstrate a sequence of Reidemeister moves and planar isotopies that show that the following projection is equivalent to the standard projection of the righthanded trefoil:


Links  Section 1.4  Exercises 1.16, 1.17, 1.18  
Tricolorability  Section 1.5  Exercises 1.24, 1.25, 1.29  
Knot Tabulation and the Dowker Notation for Knots  Section 2.1
Section 2.2 
Exercises 2.3, 2.6, 2.8  
Conway's Notation  Section 2.3  Exercises 2.10, 2.13, 2.14, 2.19, 2.21, 2.22  
Unknotting Number  Section 3.1  Exercises 3.2, 3.5, 3.6  
Bridge Number and Crossing Number  Project 1  
Surfaces without Boundary  Section 3.2
Section 3.3 Section 4.1 
Exercises 3,14, 4.2, 4.3  
Surfaces without Boundary  
Surfaces without Boundary  Exercises 4.10  
Surfaces with Boundary  Section 4.2  Exercises 4.14, 4.15, 4.16
Project 2 
Project: 10/23 

Genus and Seifert Surfaces  Section 4.3  Exercises 4.20, 4.22  
Genus and Seifert Surfaces  
The Seifert matrix and Sequivalence  
The Alexander Polynomial  
The Bracket Polynomial and the Jones Polynomial  Section 6.1  Exercises 6.2, 6.5, 6.7
Extra Credit: Exercise 6.8 

The Bracket Polynomial and the Jones Polynomial  
The HOMFLY Polynomial  Section 6.3
Section 6.4 
Exercises 6.14, 6.18  
Topology  Project 3  
Higher Dimensional Knotting  Chapter 10  Exercises 10.1, 10.2, 10.3 10.4  
Higher Dimensional Knotting  Project 4  
Legendrian Knots  
Legendrian Knots 