Professional Degree Programs

MechSE administers two professional master's degree programs. Please follow the links below for details.

Master of Engineering in Mechanical Engineering

Master of Engineering in Computational Engineering

 

Applied Math / Computational Science Requirement

The following are approved courses for applied math / computational science requirement for the Master of Engineering in Mechanical Engineering:

TAM 541 Mathematical Methods I
Credit: 4 hours.
Vector and tensor algebra and complex-variable methods; ordinary differential equations, qualitative questions of existence and uniqueness; analytic solution methods, numerical methods, power-series solution and special functions; eigenvalue problems, Green's functions, Laplace transforms, stability of solutions; engineering applications drawn from mechanics.

TAM 470 Computational Mechanics (same as CSE 450)
Credit: 3 OR 4 hours.
Modercomputational mechanics: mappings and iterative methods; stability; convergence; consistency; numerical and symbolic solutions of ordinary and partial differential equations; finite-difference methods; the finite-element method; spectral methods. Applications to problems in solid mechanics, fluid mechanics, and dynamics. Same as CSE 450. 3 undergraduate hours. 3 or 4 graduate hours.

ME 471 Finite Element Analysis (same as CSE 451)
Credit: 3 OR 4 hours.
The finite element method and its application to engineering problems: truss and frame structures, heat conduction, and linear elasticity; use of application software; overview of advanced topics such as structural dynamics, fluid flow, and nonlinear structural analysis.

CSE 510 Numerical Methods for PDEs (same as CS 555)
Numerical techniques for initial and boundary value problems in partial differential equations. Finite difference and finite element discretization techniques, direct and iterative solution methods for discrete problems, and programming techniques and usage of software packages.

MATH 442 Intro Partial Diff Equations
Credit: 3 OR 4 hours.
Introduces partial differential equations, emphasizing the wave, diffusion and potential (Laplace) equations. Focuses on understanding the physical meaning and mathematical properties of solutions of partial differential equations. Includes fundamental solutions and transform methods for problems on the line, as well as separation of variables using orthogonal series for problems in regions with boundary. Covers convergence of Fourier series in detail.
4 hours of credit requires approval of the instructor and completion of additional work of substance

CS 450 (same as CSE 401, ECE 491, and MATH 450) Numerical Analysis
Credit: 3 OR 4 hours.
Linear system solvers, optimization techniques, interpolation and approximation of functions, solving systems of nonlinear equations, eigenvalue problems, least squares, and quadrature; numerical handling of ordinary and partial differential equations.

MATH 487 Advanced Engineering Math(same as ECE 493)
Credit: 3 OR 4 hours.
Complex linear algebra, inner product spaces, Fourier transforms and analysis of boundary value problems, Sturm-Liouville theory.

MATH 488 Math Methods in Engineering
Credit: 3 OR 4 hours.
Matrices, determinants, bounds and approximations to eigenvalues, introduction to linear operator theory and inner product spaces, orthogonal expansions, and Fourier transforms.

 

The Master of Engineering in Mechanical Engineering Degree Requirements

Suggested courses for professional development requirement*

ENG 461 Technology Entrepreneurship (same as TE 461)
Credit: 3 hours.
Critical factors affecting technology-based ventures: opportunity assessment; the entrepreneurial process; founders and team building; preparation of a business plan including market research, marketing and sales, finance, and manufacturing considerations.

ENG 465 Business Technical Consulting (same as TE 465)
Credit: 4 hours.
Consulting process, problem definition, project management, technology commercialization, interpersonal skills, human resources management leadership, and followership. Consulting teams formed work directly with a real business client for twelve weeks on a project jointly defined by the client and team.

ENG 466 High-Tech Venture Marketing (same as TE 466)
Credit: 1 OR 2 hours.
Cornerstone marketing concepts for innovators and engineers to enable analysis of products and technologies from a marketing perspective: engineering product development and adoption life cycle; objectives and strategies; marketing management; communication skills; sales process and tactics; special considerations for new high-tech engineering products and innovations.

ENG 565 Technol Innovation & Strategy (same as TE 565)
Credit: 2 hours.
Concepts and frameworks for analyzing how firms can create, commercialize and capture value from technology-based products and services. Business, commercialization, and management aspects of technology. Emphasis on reasons that existing firms or startups which have successfully commercialized products or services fail to sustain their success as technology changes and evolves.

ENG 566 Finance for Engineering Mgmt (same as TE 566)
Credit: 2 hours.
Cornerstone financial concepts for engineering management to enable analysis of engineering projects from a financial perspective: income statements; the balance sheet; cash flow statements; corporate organization; the time value of money; net present value; discounted cash flow analysis; portfolio theory.

IE 430 Economic Foundation of Quality Systems
Credit: 3 OR 4 hours.
Total quality systems for planning, developing, and manufacturing world-class products. Economic foundations of total quality. Product value, cost, pricing, environmental quality, activity-based costing, design for assembly, organization structure, lead time, innovation, Taguchi methods, simulation-based significance testing, Strategic Quality Deployment, statistical process control, and conjoint analysis.

IE 431 Quality Engineering
Credit: 3 hours.
Quality Engineering principles and the Six Sigma Define-Measure-Analyze-Improve-Control (DMAIC) process. Application of concepts and methods of statistical process control, designed experiments, and measurement systems analysis to cases of quality and productivity improvement; application of the fundamentals of quality engineering and the Six Sigma to areas of produce development, service enterprise, and manufacturing processes.

 

Students may choose from other graduate-level leadership, entrepreneurship, or business-related courses (e.g., courses taken for the “Business Management for Engineers” certificate or the “Innovation, Leadership and Engineering Entrepreneurship” certificate; go to http://tec.illinois.edu/academics/certificates/business-management to see the list of courses that apply).

*Only required if student chooses to fulfill through a course in leadership, entrepreneurship, or other business-related course as opposed to a for-credit internship course (e.g., ME 598 Special Topics) or graduate-level/capstone design course (e.g., ME 597 Independent Study).