Physical phenomena in a wide range of areas such as fluid and solid mechanics, electromagnetism, quantum mechanics, chemical diffusion, and acoustics are governed by Partial Differential Equations (PDEs). In this course, you will learn how to solve a variety of BVPs, each of which is defined by a PDE, boundary conditions, and possibly initial conditions. We will cover the classical PDEs of mathematical physics: 1) diffusion equation, 2) Laplace equations, 3) wave equation. You will learn different techniques to solve these equations. Topics include separation of variables, Fourier analysis, Sturm-Liouville theory, spherical coordinates and Legendre’s equation, cylindrical coordinates and Bessel’s equation, method of characteristics, and Green's functions. You will also learn the basics of how to discretize linear and nonlinear PDEs and solve them numerically. Emphasis will be on physical understanding of the governing equations and the resulting solutions. You will learn to use software and write code (Python, Matlab, Mathematica) to solve PDEs and visualize the solutions. Prior knowledge of any of these languages/software, although helpful, is not required.

Location

Dewey Room 2162 (MWF 11:50AM - 12:40PM)

Required recitation for CHE 400-1

Location

Computer Studies Room 209 (F 3:25PM - 4:40PM)

This course will provide an overview of several contemporary research topics pertaining to structured organic materials. Lectures will focus on intermolecular interactions and the thermodynamics of self-assembly. Additional lectures will introduce molecular crystals, polymer crystallinity, liquid crystals, self-assembled monolayers, surfactants, block copolymers, and biomimetic materials. Homework assignments and a brief technical presentation will be required. Advanced undergraduate students are welcome.

Location

Wilmot Room 116 (MW 6:15PM - 7:30PM)

Advanced techniques utilizing vector calculus, series expansions, contour integration, integral transforms (Fourier, Laplace and Hilbert) asymptotic estimates, and second order differential equations.

Location

Goergen Hall Room 108 (TR 11:05AM - 12:20PM)

Advanced techniques utilizing vector calculus, series expansions, contour integration, integral transforms (Fourier, Laplace and Hilbert) asymptotic estimates, and second order differential equations.

Location

Wilmot Room 116 (F 11:05AM - 12:20PM)

Understanding energy transport and conversion at the nanoscale requires a detailed picture of interactions among molecules, electrons, phonons, and photons. This course draws on relevant concepts of statistical thermodynamics and solid-state physics to describe the physical mechanisms of energy transport and conversion in nanoscale systems. Topics covered include kinetic theory of gases, thermodynamic distribution functions, energy carrier dispersion relations, Boltzmann transport equation modeling of thermal and electrical properties, size effects (classical and quantum) on material properties, and thermoelectric and photovoltaic energy conversion.

Location

Meliora Room 224 (TR 11:05AM - 12:20PM)

This course will acquaint the student with important topics in advanced transport phenomena (momentum, heat and mass transport). Topics include laminar and turbulent flow, thermal conductivity and the energy equation, molecular mass transport and diffusion with heterogeneous and homogeneous chemical reactions. Focus will be to develop physical understanding of principles discussed and with emphasis on chemical engineering applications. In addition to the text, the student will be exposed to classic and current literature in the field.

Location

Hylan Building Room 102 (MW 4:50PM - 6:05PM)

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Location

Gavett Hall Room 202 (TR 2:00PM - 3:15PM)

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Location

Goergen Hall Room 109 (M 3:25PM - 4:40PM)

Part one of two Liquid Crystal Materials courses, this part discusses structure, properties and applications.

Location

Hylan Building Room 307 (W 12:30PM - 1:45PM)

Lectures on the fundamentals of colloids and interfaces, systems with high interfacial area, and their role in modern processes and products. Topics include interfacial tension, contact angle, adsorption, surfactants, miscelles, microemulsions, and colloidal dispersions. Techniques for formation and characterization of interfaces and colloids will be reviewed.

Location

Hylan Building Room 105 (TR 9:40AM - 10:55AM)

Location

Goergen Hall Room 108 (TR 6:15PM - 7:30PM)

This course will provide an introduction to computational fluid dynamics (CFD) with emphasis on both the theory and the practical application to simple and complex problems. The course begins with a study of finite difference and finite volume models of one-dimensional partial differential equations. These equations are central to the understanding of more complex CFD models. The course will use ANSYS Fluent, a commercial CFD code, to solve both simple and complex simulations including both laminar and turbulent flow as well as heat transfer. The course will be a combination of traditional lectures, in-class projects and independent project work.

Location

Hylan Building Room 307 (TR 4:50PM - 6:05PM)

Graduate and advanced undergraduate course on surface-specific analytical techniques. The first few lectures of the course will cover basic thermodynamics and kinetics of solid-liquid and solid-gas interfaces, including surface energy and tension, surface forces, adsorption and chemisorption, and self-assembly. The rest of the class will focus on surface spectroscopy and microscopy, including X-ray and UV photoelectron spectroscopy, Auger spectroscopy, secondary ion mass spectrometry, IR and Raman spectroscopy/microscopy and scanning probe microscopy.

Location

Bausch & Lomb Room 269 (TR 11:05AM - 12:20PM)