Kiam Heong Kwa

khkwa@math.ohio-state.edu

Think deeply of simple things.

Teaching:

• Mathematica is freely available to students at OSU.

• Math 415.01 (Autumn 09): Ordinary and Partial Differential Equations (Syllabi for 9:30am, 10:30am, and 12:30pm classes)

• Notes:

  • 1.1, 1.2/2.2, 1.3
  • 2.1, 2.3, 2.4, 2.5
  • 3.1/3.4/3.5, 3.2, 3.3, 3.5, 3.6, 3.8, 3.9
  • 10.1, 10.2, 10.3, 10.4, 10.5, 10.6, 10.7
  • 7.1, 7.2, 7.3

• Homework:

  • List of homework assignments. (Last updated: 11/17/09)

• External resources:

  • Some very nice Java applets that demonstrate Fourier series:
    • #1 by Prof. James McClellan from Georgia Institute of Technology
    • #2 by Prof. Ivo Dinov from UCLA
    • #3 by Prof. Wilson J. Rugh from Johns Hopkins University

• Exams:

  • First midterm (October 23, Friday) covers sections 1.1-1.3, 2.1-2.5, and 3.1-3.5 in the text.
  • Solutions to midterm #1
  • Second midterm (November 20, Friday) covers sections 3.6, 3.8, 3.9, 10.1-10.6 in the text.
    Example problems in the notes and homework problems are good resources for review.

• MSLC tutor room schedule for Au09.

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

• Notes and solutions to homework and midterms can be found here.

• 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