# Classes

The following is a list of classes I have taught (and I'm now teaching) for math majors. I also teach calculus and linear algebra.
Period Title Contents
2015/10-2016/2 Set theory Elementary properties of sets and maps
2015/4-2015/7 Homology Elementary properties of homology groups of simplicial complexes
2014/10-2015/2 Hyperbolic geometry Elementary hyperbolic geometry
2014/10-2015/2 Set theory Elementary properties of sets and maps
2012/4-2012/7 Algebraic topology Introduction to topological insulator
2014/4-2014/7 Topology An introduction to algebraic topology
2013/10-2014/2 Discrete Morse theory Basics of discrete Morse theory
2013/4-2013/7 Differentiable manifolds Elementary properties of smooth manifolds
2012/10-2013/2 Topological spaces Elementary properties of topological spaces
2012/4-2012/7 Algebraic topology Introduction to hyperplane arrangements
2012/4-2012/7 Advanced linear algebra Jordan normal form
2011/10-2012/2 Topology An introduction to algebraic topology
2011/4-2011/7 Introduction to Geometry Vector calculus and geometry of curves and surfaces
2010/10-2011/2 Topological Spaces Elementary properties of topological spaces
2010/4-2010/7 Homology I Elementary properties of homology groups of simplicial complexes
2009/10-2010/2 Topology An introduction to algebraic topology
2009/4-2009/7 Theory of metric spaces Elementary properties of metric spaces
2008/10-2009/2 Set Theory Elementary properties of sets and maps
2008/4-2008/7 Homology Elementary properties of homology groups of simplicial complexes
2007/4-2007/7 Theory of metric spaces Elementary properties of metric spaces
2006/10-2007/2 Topology An introduction to algebraic topology
2006/4-2006/7 ? Elementary properties of convex polytopes
2006/4-2006/7 Metric Spaces Elementary properties of metric spaces
2005/10-2006/2 Topological Spaces Elementary properties of topological spaces
2005/4-2005/7 ? Elementary properties of convex polytopes
2005/4-2005/7 Theory of Metric Spaces Elementary properties of metric spaces
2004/10-2005/2 Homological Algebra An introduction to model category
2004/10-2005/2 Lie Groups I An introduction to Lie groups
2003/4-2004/2 Topology I, II An introduction to algebraic topology
2002/10-2003/2 Riemann Surface Hyperbolic geometry and Riemann surface
2002/4-2002/7 Classical Geometry An introduction to hyperbolic geometry
2002/4-2002/7 Geometry I Elementary differential geometry of curves
2001/4-2002/2 Topology I, II Elementary algebraic topology
2000/4-2001/2 Geometry I, II Elementary differential geometry of curves and surfaces
1999/4-2000/2 ? Transformation groups, including an introduction to Lie groups
1998/4-1999/2 ? Hyperbolic geometry
1997/4-1998/2 ? History of topology
1996/4-1997/2 ? Basic theory of fiber bundle
1995/4-1996/2 ? Elementary homological algebra
1994/4-1995/2 ? Hyperbolic geometry
1993/4-1994/2 ? Basic theory of fiber bundle and fibration