Applications of integration, integration using mathematical software packages. Scaling and allometry. Basic probability theory. Fundamentals of linear...
Matrix operations, systems of linear equations, linear spaces and transformations, determinants, eigenvalues and eigenvectors, applications of...
The calculus of functions of one and more variables with emphasis on applications in Engineering. Antirequisite(s): Calculus 1000A/B, 1100A/B,...
Introduction to first order differential equations, linear second and higher order differential equations with applications, complex numbers including...
This course is intended to be taken by Chemical and Civil Engineering students. Topics include ordinary differential equations, Laplace transforms,...
Topics include: Introduction to Matlab; numerical differentiation and integration; numerical linear algebra; ordinary differential equations including...
Topics include: ordinary differential equations methods including Laplace transforms; Fourier series and transforms; multiple integration; vector...
Modeling deterministic systems with differential equations: first and second order ODEs, systems of linear differential equations. Laplace transforms...
Vector space examples. Inner products, orthogonal sets including Legendre polynomials, trigonometric functions, wavelets. Projections, least squares,...
Introduction to numerical analysis; polynomial interpolation, numerical integration, matrix computations, linear systems, nonlinear equations and...
Introduction to Continuum Mechanics. The concept of a continuum. Derivation of the fundamental equations describing a continuum. Application to fluids...
This course provides students with the tools to tackle more complex problems than those covered in introductory mechanics. D'Alembert's principle,...
Topics include: Fourier series, integrals and transforms; boundary value problems in cartesian coordinates; separation of variables; Fourier and...
Topics Include: numerical methods; introduction to complex analysis; complex integration; boundary value problems in cartesian coordinates; separation...
An introduction to modern financial mathematics using a differential equations approach. Stochastic differential equations and their related partial...
An introduction to mathematical biology. Case studies from neuroscience,immunology, medical imaging, cell biology, molecular evolution and ecology...
Functions of a complex variable, analytic functions, integration in the complex plane, Taylor and Laurent series, analytic continuation, Cauchy's...
Existence and uniqueness of solutions, phase space, singular points, stability, periodic attractors, Poincar
Boundary value problems for Laplace, heat, and wave equations; derivation of equations; separation of variables; Fourier series; Sturm-Liouville...
An introduction to linear programming, simplex method, duality theory and sensitivity analysis, formulating linear programming models, nonlinear...