Manifolds and Differential Forms lecture notes
Courses taught
Spring 2023
Math 2240 Theoretical linear algebra and calculus
Fall 2022
Math 2230 Theoretical linear algebra and calculus
Math 6520 Differentiable manifolds I
Spring 2022
Math 4140 Honors introduction to analysis II
Spring 2021
Math 4500 Matrix groups
Fall 2020
Math 1920 Multivariable calculus for engineers
Fall 2019
Math 1920 Multivariable calculus for engineers
Fall 2018
Math 1920 Multivariable calculus for engineers
Math 6520 Differentiable manifolds I
Spring 2018
Math 4500 Matrix groups
Fall 2017
Math 1920 Multivariable calculus for engineers
Fall 2016
Math 2210 Linear algebra
Math 6520 Differentiable manifolds I
Spring 2016
Math 2240 Theoretical linear algebra and calculus
Fall 2015
Math 2230 Theoretical linear algebra and calculus
Math 6210 Measure theory and Lebesgue integration
Fall 2014
Math 3210 Manifolds and differential forms
Math 7530 Algebraic topology II
Fall 2013
Math 3210 Manifolds and differential forms
Math 6520 Differentiable manifolds I
Fall 2012
Math 3210 Manifolds and differential forms
Math 6520 Differentiable manifolds I
Fall 2011
Math 2210 Linear algebra
Fall 2010
Math 2210 Linear algebra
Fall 2009
Math 2210 Linear algebra
Math 3210 Manifolds and differential forms
Fall 2008
Math 4500 Matrix groups
Math 6210 Measure theory and Lebesgue integration
Fall 2007
Math 450 Matrix groups
Spring 2007
Math 612 Complex analysis
Fall 2006
Math 321 Manifolds and differential forms
Math 611 Real analysis
Spring 2006
Math 622 Applied functional analysis
Math 653 Differentiable manifolds II: Lie group actions on manifolds
Fall 2005
Math 433 Honors linear algebra
Spring 2005
Math 414 Honors introduction to analysis II
Fall 2004
Math 321 Manifolds and differential forms
Math 652 Differentiable manifolds I
Spring 2004
Math 106 Calculus for the life and social sciences
Fall 2003
Math 321 Manifolds and differential forms
Math 650 Lie groups
Spring 2003
Math 106 Calculus for the life and social sciences
Fall 2002
Math 321 Manifolds and differential forms
Math 652 Differentiable manifolds I
Fall 2001
Math 321 Manifolds and differential forms
Math 221 Linear algebra and differential equations
Spring 2001
Math 401 Honors seminar
Math 653 Differentiable manifolds II: the Atiyah-Singer index theorem
Fall 2000
Math 652 Differentiable manifolds I
Spring 2000
Math 651 Introductory algebraic topology
Fall 1999
Math 122 Honors calculus
Spring 1999
Math 414 Honors introduction to analysis II
Fall 1997
Math 222 Multivariable calculus
Math 433 Honors linear algebra
Fall 1996
Math 413 Honors introduction to analysis I