Akil Narayan

Teaching Portfolio



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Sample teaching materials


Some materials herein are credited to other co-authors as well as myself when I was co-instructor for a course. However, the samples below are materials for which I am the principal author.

Syllabi for courses:

  • A multivariable calculus course: PDF
  • An ordinary differential equations course: PDF

Lecture notes

  • Introduction to nth order linear ODE's: PDF
  • The Heaviside function as a forcing term for linear ODE's: PDF
  • Accuracy of polynomial interpolation: PDF
  • Nonlinear solvers: PDF

Projects and presentations

  • Week-long projects from an introductory numerical analysis class:
    • Ill-conditioning of interpolatory Vandermonde matrices: PDF
    • Numerical solutions to differential equations: PDF
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  • Templates for short, 5-minute, in-class presentations given by students:
    • The gradient does not point in the direction of maximum increase: PDF
    • Using Euler's formula to compute useful identities: PDF
    • Proof of the Euler Product formula for the Riemann Zeta function: PDF
    • Qualitative descriptions of non-Euclidean geometries: PDF