PAST TEACHING AT  U.T.K.

MATH 231-DIFFERENTIAL EQUATIONS I
MATH 561- TOPOLOGY I-FALL 2022
MATH 664-ALGEBRAIC TOPOLOGY II-SPRING 2022
MATH 663-ALGEBRAIC TOPOLOGY I-FALL 2021


TOPOLOGY PRELIM REVIEW-SUMMER 2021
MATH 562-TOPOLOGY II-SPRING 2021
MATH 561-TOPOLOGY I-FALL 2020


MATH 462-DIFFERENTIAL GEOMETRY-SPRING 2020
MATH 453--LINEAR ALGEBRA II-SPRING 2020
MATH 467-HONORS TOPOLOGY-FALL 2019


MATH 567-RIEMANNIAN GEOMETRY I-SPRING 2018

MATH 448 ANALYSIS II (HONORS)-SPRING 2018
MATH 447-ANALYSIS I (HONORS)-FALL 2017
MATH 447-ANALYSIS 1 (HONORS)-FALL 2016
MATH 448-ANALYSIS 2 (HONORS)-SPRING 2017


MATH 237-HONORS DIFFERENTIAL EQUATIONS-FALL 2015
MATH 567- RIEMANNIAN GEOMETRY I-FALL 2015
MATH 534-CALCULUS OF VARIATIONS-FALL 2015

MATH 231-DIFFERENTIAL EQUATIONS-SPRING 2015
MATH 435-PARTIAL DIFFERENTIAL EQUATIONS-SPRING 2015
MATH 431-DIFFERENTIAL EQUATIONS II-FALL 2014
MATH 669-GEOMETRIC ANALYSIS STUDENT SEMINAR (Fall/Spring)

MATH 668-TOPICS IN DIFFERENTIAL GEOMETRY-SPRING 2014
MATH435-PARTIAL DIFFERENTIAL EQUATIONS-SPRING 2014
MATH 667-MODERN GEOMETRY I-FALL 2013
MATH 241-CALCULUS III-FALL 2013

MATH 668-MODERN GEOMETRY II-SPRING 2013
MATH 341-ANALYSIS I-SPRING 2013
MATH 300-INTRODUCTION TO ABSTRACT MATHEMATICS-FALL 2012

MATH 667-MODERN GEOMETRY 1-FALL 2012

MATH 431-DIFFERENTIAL EQUATIONS II-SUMMER 2012
MATH 300-INTRODUCTION TO ABSTRACT MATHEMATICS-SPRING 2012
MATH 568-RIEMANNIAN GEOMETRY II-SPRING 2012

MATH 567-RIEMANNIAN GEOMETRY I-FALL 2011
MATH300-INTRODUCTION TO ABSTRACT MATHEMATICS-FALL 2011


MATH 231-DIFFERENTIAL EQUATIONS-SPRING 2011

MATH 435-PARTIAL DIFFERENTIAL EQUATIONS-SPRING 2011
MATH 251-LINEAR ALGEBRA-FALL 2010
MATH 231-DIFFERENTIAL EQUATIONS-FALL 2010


MATH 251-LINEAR ALGEBRA-SPRING 2010 (2 sections)
MATH 251-LINEAR ALGEBRA-FALL 2009 (2 sections)


MATH 231-DIFFERENTIAL EQUATIONS-SPRING 2009 (2 sections)
MATH 231- DIFFERENTIAL EQUATIONS-FALL 2008

MATH 567- RIEMANNIAN GEOMETRY-FALL2008

MATH231- DIFFERENTIAL EQUATIONS- SPRING 2008
MATH 667- MODERN GEOMETRY- SPRING 2008
MATH 231-DIFFERENTIAL EQUATIONS- FALL 2007

MATH 435-PARTIAL DIFFERENTIAL EQUATIONS-FALL 2007

MATH 241- CALCULUS III-FALL 2006
MATH 142-CALCULUS II-FALL 2006
(On leave at MPI Potsdam, Spring 2007)

MATH 400- HISTORY OF MATHEMATICS-SUMMER 2006
MATH 241- CALCULUS III- SPRING 2006 (2 sections)
MATH 431-DIFFERENTIAL EQUATIONS II- FALL 2005
MATH 251- MATRIX ALGEBRA I-FALL 2005

MATH 241- CALCULUS III- SPRING 2005
MATH 142- CALCULUS II- SPRING 2005
MATH 142- CALCULUS II- FALL 2004 (2 sections)

MATH 231-DIFFERENTIAL EQUATIONS-FALL 2003
(on leave at NSF- 2002-2003 and spring 2003)

 MATH 453- LINEAR ALGEBRA II-SUMMER 2002
(chair of Assistantship Committee, Spring 2002)
 MATH 435-PARTIAL DIFFERENTIAL EQUATIONS-SPRING 2002
 MATH 617-LIE GROUPS AND LIE ALGEBRAS-FALL 2001
 MATH 251-MATRIX ALGEBRA I-FALL 2001 

MATH 431-DIFFERENTIAL EQUATIONS II-SUMMER 2001
(chair  of Assistantship Committee, Spring 2001)
 MATH431-DIFFERENTIAL EQUATIONS II-SPRING 2001
 MATH 251-MATRIX ALGEBRA I-FALL 2000
 MATH 435-PARTIAL DIFFERENTIAL EQUATIONS-FALL 2000

 MATH 568-RIEMANNIAN GEOMETRY-SPRING 2000
 MATH 300-INTRODUCTION TO ABSTRACT MATHEMATICS-SPRING 2000
 MATH 148-HONORS CALCULUS II- FALL 1999
 MATH 567-DIFFERENTIAL GEOMETRY-FALL 1999

MATH 668-TOPICS IN DIFFERENTIAL GEOMETRY-SPRING 1999
 MATH 435-PARTIAL DIFFERENTIAL EQUATIONS-SPRING 1999
MATH 617-LIE GROUPS AND LIE ALGEBRAS-FALL 1998
 MATH 435-PARTIAL DIFFERENTIAL EQUATIONS-FALL 1998

 MATH 431-DIFFERENTIAL EQUATIONS II-SPRING 1998
MATH 200-MATRIX COMPUTATIONS-SPRING 1998
 MATH 231- DIFFERENTIAL EQUATIONS (FALL 1997)
 MATH 241-CALCULUS III-FALL 1997

1996-1997- ON LEAVE (MPI BONN and STANFORD)

MATH 435-PARTIAL DIFFERENTIAL EQUATIONS-SPRING 1996
MATH 222-DISCRETE MATHEMATICS II[extinct course]-SPRING 1996
MATH 431-DIFFERENTIAL EQUATIONS II-FALL 1995
MATH 200-MATRIX  COMPUTATIONS-FALL 1995

MATH 544-COMPLEX ANALYSIS-SPRING 1995
MATH 241- CALCULUS III-SPRING 1995
MATH 543-COMPLEX ANALYSIS-FALL 1994
MATH 231- DIFFERENTIAL EQUATIONS- FALL 1994
 
MATH 446-ADVANCED CALCULUS-SPRING 1994
MATH 142- CALCULUS II-SPRING 1994
MATH 141-CALCULUS I-FALL 1993
MATH 445-ADVANCED CALCULUS-FALL 1993

SPRING 1993- ON LEAVE (ETH ZURICH)
MATH 341- ANALYSIS I- FALL 1992
(reduced teaching load, 1992-93)

MATH 667- GEOMETRY OF SURFACES- SPRING 1992
MATH 443- COMPLEX VARIABLE- FALL 1991
(reduced teaching load, 1991-92)

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