Global Arc

This course is an introduction to probability and statistical methods, and covers topics in probability, random variables, sampling, descriptive statistics, probability distributions, estimation and hypotheses testing, introduction to the regression model. The course emphasizes the practice, and students will learn how to perform data analysis using modern computational tools.

This course is an introduction to mathematical modeling in physical and social sciences. Topics covered include modeling via simple first and second order differential equations, fitting experimental data, optimization and an introduction to modeling probabilistic events. One substantial goal of the course is to learn MATLAB through homework, weekly group projects and an individual final project. Equal emphasis will be put on practical implementations of the models through MATLAB scripts and on theoretical underpinnings of the models.

An exploration of some of the mathematical ideas behind important modern applications, from banking and computing to listening to music. Intended for students who have not had college-level mathematics and are not planning to major in a mathematically based field. The course is organized in independent two-week modules focusing on particular applications, such as bar codes, CD-players, population models, and space flight. The emphasis is on ideas and mathematical reasoning, not on sophisticated mathematical techniques. Two 90-minute classes, one computer laboratory.

An introduction to differential equations, covering both applications and fundamental theory. Basic second-order differential equations (including the wave, heat, and Poisson equations); separation of variables and solution by Fourier series and Fourier integrals; boundary value problem and Green's function; variational methods; normal mode analysis and perturbation methods; nonlinear first order (Hamilton-Jacobi) equations and method of characteristics; reaction-diffusion equations. Application of these equations and methods to finance and control. Prerequisites: MAT 102, 103, and 202. Two 90-minute lectures.

An introduction to the influence of materials in artistic, architectural, and product design. Primarily focused on the artist, architect, and designer who want to know more about materials and the principles of materials science and characterization. This class is also for the engineer who wants to study more about design. Focus will be on how technical properties, aesthetics, sustainability, manufacturability, and ergonomics relate to material properties and selection.

An introduction to the structure and properties of important current and future materials, including metals, semiconductors, and polymers from an atomic and molecular perspective. Emphasis will be placed on the phase behavior and processing of materials, and on how structures in these materials impact their macroscopic physical, electrical, and thermal properties. Three lectures.

A hands-on introduction to the use of laboratory techniques for the processing and characterization in materials science. Structure-property relations will be explored through experiments in mechanical, optical, biological and electronic properties. The underlying theories and lab techniques will be explained in weekly lectures. The goal of the course is for students to develop a solid understanding of material properties and the common techniques used in research, as well as to gain valuable practice in oral and written presentation. Prerequisite: 301 or equivalent. Two 90-minute lectures, one laboratory.

Introduction to microscale and nanoscale of materials and devices. Topics include materials made from nanoscale constituents or using nanotechnology, metrology methods, and scaling phenomenon related to mechanical, electrical and optical properties, heat transfer, and fluid flow. MEMS, NEMS, and microfluidic applications, such as sensors and actuators are presented.

This course offers an introduction to the use of the cleanroom fabrication as a machine-shop-of-the-future or a micro/nano 'Maker Space'. This course teaches the technology in the context of applications, focusing on how to use these capabilities and to realize inventive or entrepreneurial proclivities, while simultaneously introducing the philosophy, culture and engineering practices of the nanoscale industry. Covered topics include nanoscale engineering and the philosophy of industrial micro/nano.

This seminar examines the relationships between materials research and industry and market adoption of products based upon these novel materials. These relationships are examined using applicable case studies combined with speaker presentations. Focus will be on discussion of proven skills and methods scientists use to deal with real world scenarios. Registration of students from a diversity of non-materials science backgrounds is also very much encouraged.