Vector integral calculus-line integrals, surface integrals and vector fields, Green's theorem, the Divergence theorem, and Stokes' theorem....

A rigorous introduction to the field of computational mathematics. The focus is on the interplay between continuous models and their solution via...

Physical systems which lead to differential equations (examples include mechanical vibrations, population dynamics, and mixing processes). Dimensional...

AMATH 251 is an advanced-level version of AMATH 250. Compared to AMATH 250, AMATH 251 offers a more theoretical treatment of differential equations...

Dimensional Analysis, Newtonian dynamics, gravity and the two-body problem, Introduction to Hamiltonian Mechanics, Non-conservative forces,...

The objective of this class is to understand and use quantitative and analytical techniques founded in mathematics and the geosciences to describe,...

Topology of Euclidean spaces, continuity, norms, completeness. Contraction mapping principle. Fourier series. Various applications, for example, to...

Complex numbers, Cauchy-Riemann equations, analytic functions, conformal maps and applications to the solution of Laplace's equation, contour...

Modeling of systems which lead to differential equations (examples include vibrations, population dynamics, and mixing processes). Scalar first order...

Difference equations, Laplace and z transforms applied to discrete (and continuous) mathematical models taken from ecology, biology, economics and...

First order linear and separable differential equations. Exponential growth with applications to continuous compounding. The logistic equation and...

Second order linear differential equations with non-constant coefficients, Sturm comparison, oscillation and separation theorems, series solutions and...

Second order linear partial differential equations - the diffusion equation, wave equation, and Laplace's equation. Methods of solution - separation...

Stress and strain tensors; analysis of stress and strain. Lagrangian and Eulerian methods for describing flow. Equations of continuity, motion and...

Critical experiments and old quantum theory. Basic concepts of quantum mechanics: observables, wavefunctions, Hamiltonians and the Schroedinger...

An introduction to dynamic mathematical modeling of cellular processes. The emphasis is on using computational tools to investigate differential...

An introduction to contemporary mathematical concepts in signal analysis. Fourier series and Fourier transforms (FFT), the classical sampling theorem...

This course studies basic methods for the numerical solution of partial differential equations. Emphasis is placed on regarding the discretized...

This course will present two major applications of differential equations based modeling, and focus on the specific problems encountered in each...

A unified view of linear and nonlinear systems of ordinary differential equations in Rn. Flow operators and their classification: contractions,...