This page contains a complete list of the courses I have taught, a list of awards and recognition of my teaching and a summary of some of my other teaching experiences.
I am also involved with undergraduate research, special studies, honors theses and mentoring young mathematicians. Click here for more information.
Courses at Washington & Lee
All course information is found on Sakai.
- Math 309-01 Probability MTWF 9:45 – 10:45 am Robinson 302
- Math 102-04 Calculus I MTRF 1:30 – 2:30 pm Robinson 107
- Math 102-05 Calculus I MTRF 2:45 – 3:45 pm Robinson 107
Trefoil knot from Knotplot
- Math 101 Calculus I: Fall 2018.
- Math 102 Calculus II: Fall 2012, 2014, 2016, 2017, Winter 2013, 2015.
- Math 221(A) Multivariable Calculus: Fall 2012, 2013, 2017, Winter 2016.
- Math 222 Linear Algebra: Fall 2016, Winter 2018.
- Math 301 Fundamental Concepts of Mathematics: Spring 2015, 2017.
- Math 309 Probability: Fall 2018
- Math 311 Real Analysis: Fall 2013.
- Math 341 Introduction to Topology: Fall 2014.
- Math 342 Modern Geometry: Winter 2013.
- Math 345 Calculus on Manifolds: Winter 2015, Winter 2018.
- Math 401 Math GRE prep course: Fall 2012, 2013, 2014, 2016, 2017.
- Math 401 Introduction to Knot Theory: Winter 2017.
- Math 114 Calculus II (Fall 2007, 2008, and Spring 2008, 2012).
- Math 211 Linear Algebra (Fall 2009 and Spring 2008, 2009, 2011).
- Math 212 Multivariable Calculus (Fall 2008).
- Math 225 Advanced Calculus (Spring 2009, 2011, 2012).
- Math 342 Introduction to Topology (Fall 2007, 2009).
- Math 342 Introduction to Differential Geometry (Fall 2011).
- Math 343 Introduction to Differential Topology (Spring 2010).
- Special Studies
- Math 301 Research with undergraduates (Fall 2011)
- Algebraic Topology (Spring 2011).
- Introduction to Algebraic Topology (Fall 2009).
- Minimum Distance Energy of Knots (Spring 2008).
- Math 139 Topics in Knot Theory (Spring 2007)
- Math 134 Calculus on Manifolds (Fall 2004, Fall 2006)
Introduction to manifolds in real n-space, inverse and implicit function theorems, differential forms, the general version of Stokes’s Theorem, etc.
- Math 25b Honors Multivariable Calculus and Linear Algebra (Spring 2006)
This course is a continuation from Math 25a. Topics covered include real analysis, multivariable calculus, differential forms and Stokes’ Theorem.
- Math 25a Honors Multivariable Calculus and Linear Algebra (Fall 2005)
A rigorous treatment of linear algebra, point-set and metric topology. Emphasis placed on careful reasoning, and on learning to understand and construct proofs.
- Math 21b Linear Algebra (Spring 2005, Fall 2006)
- Math 21a Multivariable Calculus (Fall 2004)
University of Illinois, Urbana-Champaign
- Math 135 Calculus I (Spring 2000)
- Math 130 Calculus II (Fall 1998, Spring 1999, Fall 1999)
- Math 242 Multivariable Calculus (Fall 2000, Fall 2001, Fall 2002)
This was taught at Unit One Allen Hall, a program which provides students with a small liberal arts college environment within the wider community at the University of Illinois at Urbana-Champaign. For more information about Allen Hall click here.
- C&M 242 Multivariable calculus (Spring 2001)
The third course in calculus and analytic geometry taught with active learning techniques using Calculus & Mathematica. Click here for more information.
University of Sydney, Australia
- Recitation instructor for an Introductory Linear Algebra course.
- Grader for Freshman Calculus courses, Introductory Topology course and for the correspondence program for the Australian Mathematics Olympiad Committee.
- I have also twice been a tutor at the Australian National Mathematics Summer School.
Teaching Awards and Recognition
- Fall 2004 CUE (Course Evaluation) guide Harvard University. Received “special recognition for teaching abilities” for multivariable calculus. Recognition based on student evaluations.
- Spring 2002 LAS Award for Excellence in Undergraduate Teaching University of Illinois, Urbana-Champaign. (Awarded to 6 out of 1000 Liberal Arts and Sciences College Teaching Assistants each year.)
- May 2000c Mathematics Instructional Award for excellence in teaching at the University of Illinois, Urbana-Champaign.
- Placed on Incomplete List for Excellent Teachers University of Illinois, Urbana-Champaign: Spring 1999, Fall 1999, Spring 2000, Fall 2000, Spring 2001, Fall 2001, Fall 2002. (Awarded to top 10% of instructors across the UIUC campus based on student evaluations of instructor effectiveness.)
Other teaching experiences
- Jan. 2014 Attended an MAA mini-course on Teaching an applied topology course lead by Colin Adams and Robert Franzosa.
- Sept 2012 – May 2013 Calculus subcommittee for selecting a new calculus text, W&L.
- May 2011 – June 2012 Calculus Placement Tool, responsibility for editing and maintaining the tool, and education in its use. Department of Mathematics, Smith College.
- Fall 2011 Chair committee on text and curriculum for Calculus I. Dept. of Mathematics & Statistics, Smith College.
- Spring 2011, Fall 2011 Coordinator of interdepartmental discussions on the curriculum, including updates on course changes, and coordinating course offerings. Dept. of Mathematics & Statistics, Smith College.
- Spring 2010 Calculus subcommittee on Calculus II students, curriculum and text. Dept. of Mathematics & Statistics, Smith College.
- July 2007-June 2010 Steering Committee on the Curriculum, included departmental survey on teaching & curriculum, and long term planning. Dept. of Mathematics & Statistics, Smith College.
- Spring 2002 Chair Teaching Assistant Teaching Awards Committee, University of Illinois, Urbana-Champaign.
- Spring 2001 Student Representative Teaching Assistant Teaching Awards Committee, University of Illinois, Urbana-Champaign.
- Fall 2000 and Spring 2001 Mentor Teaching Assistant Training Program, University of Illinois, Urbana-Champaign.
- Aug. 2000 and 2001 Student Assistant Teaching Assistant Orientation, University of Illinois, Urbana-Champaign.