Elizabeth Denne: Teaching

Office: 312 Burton Hall
Telephone: (413) 585 3757
Email: edenne[at]smith [dot] edu

Current Courses: Fall 2009
Previous courses:

  • Math 114 Calculus: Differential Equations and Power Series (Fall 2007, 2008, and Spring 2008).
  • Math 211 Linear Algebra (Spring 2008, 2009, Fall 2009).
  • Math 212 Multivariable Calculus (Fall 2008).
  • Math 225 Advanced Calculus (Spring 2009).
  • Math 342 Topics in Topology: Introduction to Topology (Fall 2007, 2009).
    This is an introductory course to point set topology and the fundamental group.
  • While at Harvard University:
    • 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 manifolds (if time permits).
    • 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)
  • While at the University of Illinois:
    • 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.
  • As an undergraduate at the University of Sydney:
    • 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 2000: 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.)
Research Experiences for Undergraduates:
  • Spring 2008 Directed Rosanna Speller's research on the minimum distance energy of knots.
  • Summer 2005 Gerardo Con Diaz's project included a study of the supercrossing number of knots. Harvard University.
  • Summer 2004 Gerardo Con Diaz's project included an introduction to knot theory, seifert surfaces, signature of a knot and proving that (2,2n+1) torus knots have signature 2n for any integer n. Harvard University.
  • Summer 2001 and 2002
    I was an associate mentor for both illiMath2001 REU and the illiMath2002 REU - Research Experience for Undergraduates at the University of Illinois, Urbana-Champaign.
Other teaching experiences:
  • 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.