Period

Title

Contents

2015/102016/2 
Set theory

Elementary properties of sets and maps

2015/42015/7 
Homology

Elementary properties of homology groups of simplicial complexes

2014/102015/2 
Hyperbolic geometry

Elementary hyperbolic geometry

2014/102015/2 
Set theory

Elementary properties of sets and maps

2012/42012/7 
Algebraic topology

Introduction to topological insulator

2014/42014/7 
Topology

An introduction to algebraic topology

2013/102014/2 
Discrete Morse theory

Basics of discrete Morse theory

2013/42013/7 
Differentiable manifolds

Elementary properties of smooth manifolds

2012/102013/2 
Topological spaces

Elementary properties of topological spaces

2012/42012/7 
Algebraic topology

Introduction to hyperplane arrangements

2012/42012/7 
Advanced linear algebra

Jordan normal form

2011/102012/2 
Topology

An introduction to algebraic topology

2011/42011/7 
Introduction to Geometry

Vector calculus and geometry of curves and surfaces

2010/102011/2 
Topological Spaces

Elementary properties of topological spaces

2010/42010/7 
Homology I

Elementary properties of homology groups of simplicial complexes

2009/102010/2 
Topology

An introduction to algebraic topology

2009/42009/7 
Theory of metric spaces

Elementary properties of metric spaces

2008/102009/2 
Set Theory

Elementary properties of sets and maps

2008/42008/7 
Homology

Elementary properties of homology groups of simplicial complexes

2007/42007/7 
Theory of metric spaces

Elementary properties of metric spaces

2006/102007/2 
Topology

An introduction to algebraic topology

2006/42006/7 
?

Elementary properties of convex polytopes

2006/42006/7 
Metric Spaces

Elementary properties of metric spaces

2005/102006/2 
Topological Spaces

Elementary properties of topological spaces

2005/42005/7 
?

Elementary properties of convex polytopes

2005/42005/7 
Theory of Metric Spaces

Elementary properties of metric spaces

2004/102005/2 
Homological Algebra

An introduction to model category

2004/102005/2 
Lie Groups I

An introduction to Lie groups

2003/42004/2 
Topology I, II

An introduction to algebraic topology

2002/102003/2 
Riemann Surface

Hyperbolic geometry and Riemann surface

2002/42002/7 
Classical Geometry

An introduction to hyperbolic geometry

2002/42002/7 
Geometry I

Elementary differential geometry of curves

2001/42002/2 
Topology I, II

Elementary algebraic topology

2000/42001/2 
Geometry I, II

Elementary differential geometry of curves
and surfaces

1999/42000/2 
?

Transformation groups, including an
introduction to Lie groups

1998/41999/2 
?

Hyperbolic geometry

1997/41998/2 
?

History of topology

1996/41997/2 
?

Basic theory of fiber bundle

1995/41996/2 
?

Elementary homological algebra

1994/41995/2 
?

Hyperbolic geometry

1993/41994/2 
?

Basic theory of fiber bundle and
fibration
