Kiam Heong Kwa

khkwa@math.ohio-state.edu

Think deeply of simple things.

Research:

• Research statement (PDF PS, last updated: 04/08/2009)

• Publications, submissions, and preprints:

• A geometrization of plane wave-electron interaction (PDF PS, submitted and last updated: 12/17/2008)

• Snell's law and refraction of electron world lines by intense laser fields (with Ulrich H. Gerlach and Linn Van Woerkom) (PDF PS, submitted and last updated: 11/08/2008)

• Perfect Clar structures and 3-homogeneous simplicial complexes (with Thomas Bier), Topology and its Applications, Vol. 124, Issue 1, Oct. 2002, Pages 171-184 (doi:10.1016/S0166-8641(01)00246-2)

• The incidence quotients of 3-homogeneous simplicial complexes (M.Sc. dissertation), University of Malaya, 1999

• The homepage of Violent Particle-Field Interaction Processes by my advisor

• Math 255.01 (Summer 09): Differential Equations and Their Applications (Syllabus, Tentative schedule)

• Notes:

  • An evolving set of notes. However, I plan to make only very minor changes to the notes this quarter. (Last updated: 06/20/2009)
  • Scanned class notes:
  • 1.1, 1.3, 2.1, 2.2, 2.4, 2.5, 2.6, 2.8, 2.8 (addendum)

• Homework:

  • List of homework assignments. (Last updated: 06/29/2009)
  • Solutions to homework 1

• Math 415A (Spring 09): Ordinary and Partial Differential Equations (Course webpage, Syllabus, Recitatition syllabus)

• Additional notes and external resources:

  • Dfield: a very nice java applet for visualizing direction fields available through the courtesy of Prof. John C. Polking from Rice University
  • Pplane: a great java applet for visualizing phase portraits available also through the courtesy of Prof. John C. Polking from Rice University
  • Old notes that I compiled for students when I taught the same class. They contain solutions to some problems in the text.

• Solutions to homework, quizzes, and midterms can be found here.

• Math 263A (Winter 09): Accelerated Calculus with Analytic Geometry III (Course webpage, Syllabus, Recitation syllabus)

  • Additional notes and external resources:

    • Interchange of the order of differentiation may fail. An example is here.
    • Here is a list of additional readings for particularly curious students. (Last updated: 02/27/09)
    • A very interesting java applet for the illustration of the method of Lagrange multipliers (two variables) for a course at MIT
    • Wikipedia: Lagrange multipliers
    • Wikipedia: Divergence theorem

  • Solutions to homework, quizzes, exam reviews, exams, and other course materials can be found here.

• Math 162A (Autumn 08): Accelerated Calculus with Analytic Geometry II (Carmen, WeBWork, Syllabus, Recitation syllabus)

  • External resources:

    • Wikipedia: A non-analytic smooth function
    • Wikipedia: Frenet-Serret formulas

  • Solutions to homework, WeBWorks, quizzes, and midterms can be found here.

• Math 255 (Summer 08): Differential Equations and Applications (Google group and notes)

• Math 254 (Spring 08): Calculus and Analytic Geometry IV (Google group)

  • Section summaries:

    [These are in the experimental phase. You probably want the PDF version on the Google Group]

    • 14.1, 14.2, 14.3, 14.4, 14.5, 14.6, 14.7, 14.8,
    • 15.1, 15.2, 15.3, 15.4, 15.6, 15.7, 15.8, 15.9
    • 16.1, 16.2, 16.3, 16.4, 16.5, 16.6, 16.7, 16.8, 16.9

  • Scanned examples for respective sections can be found here.

  • Michael Penna from Indiana University - Purdue University, Indianapolis has a very interesting website on
    Mathematica Projects to Accompany Calculus: Early Transcendentals, Fifth Edition by James Stewart