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Teaching
Winter 2009:
AMATH 353:
Fourier Analysis and Partial Differential Equations
Spring 2008:
AMATH 353:
Fourier Analysis and Partial Differential Equations
Winter 2008:
AMATH 353:
Fourier Analysis and Partial Differential Equations
Autumn 2007:
AMATH 353:
Fourier Analysis and Partial Differential Equations
Heat equation, wave equation, and Laplace's equation. Separation of variables. Fourier series in context of solving heat equation. Fourier sine and cosine series; complete Fourier series. Fourier and Laplace transforms. Solution of partial differential equations on infinite domains. D'Alembert's solution for wave equation.
Summer 2007: AMATH 352:
Applied Linear Algebra & Numerical Analysis,
Autumn 2006:
AMATH 383:
Introduction to Continuous Mathematical Modelling
1. Review of analytical solution techniques for ordinary differential equations
2. Continuous models, carbon datin
3. Modeling in physical sciences, Kepler, Newton
4. Harvesting models and bifurcation theory
5. Snowball Earth and climate modelling
6. Models of species interaction, predator and prey
7. The diffusion equation and the age of the earth
8. Ice ages.
9. Stochastic Modelling
Autumn 2005:
AMATH 351:
Introduction to Ordinary Differential
Equations
Summer 2005: AMATH 352:
Applied Linear Algebra & Numerical Analysis, Contents: Development and application of numerical
methods and algorithms to problems in the applied sciences and engineering. Applied
linear algebra and introduction to numerical methods.
Emphasis on use of conceptual methods in engineering, mathematics, and science.
Spring 2005:
AMATH 351:
Introduction to Ordinary Differential
Equations,
Summer 2004: AMATH 351:
Introduction to Ordinary Differential
Equations, Contents: First and higher order equations, series solutions, Laplace transforms, systems of equations,
the exponential matrix
TAing
Spring 2007: AMATH 403:
Methods of Applied Mathematics III: Partial Differential Equations
(TA for Professor van Horssen ). For this course (among other things)
I administer the
recitations (videotaped sessions).
Winter 2007: AMATH 351:
Introduction to Ordinary Differential
Equations, AND
AMATH 507:
Calculus of Variations (TA for Professor O'Malley and Professor Kot )
Autumn 2004: AMATH 351:
Introduction to Ordinary Differential
Equations, AND
AMATH 567:
Complex Variables (TA for Professor O'Malley )
Winter-Spring 2004: Math-124,Calculus
with Analytic Geometry I, Contents: Precalculus, limits, derivatives, antiderivatives (TA for Professor Downs )
Autumn 2003: Math-124,Calculus
with Analytic Geometry I, Contents: Precalculus, limits, derivatives, antiderivatives (TA for Professor Lind)