# Courses

#### Engineering (ENGR)

**5011. Engineering Mathematics I (3 s.h.) **

Mathematics for master’s level graduate study in engineering. Topics include: real-variable theory (limits, series, functions of several variables, vector field theory), complex variable theory, linear analysis (systems of linear equations, eigen value problems, Sturm-Liouville theory) and recipes for the numerical solution of any first or second order linear differential equation. Mathlab programming is introduced.

5012.
**Engineering Mathematics II (3 s.h.) **

*Prerequisite: ENGR 5011.*

Provides students with the analytical and numerical tools needed to solve partial differential equations of the type found in engineering practice. Topics include: the UNIX programming environment; the C programming language; separation of variables methods in Cartesian and non-Cartesian coordinate systems; integral transform methods; root finding; integration/differentiation; interpolation of tabulated data; initial-value and boundary-value problems; partial differential equations.

5022. **Engineering Analysis and Applications (3 s.h.) **

Vector space, basis, projection, null space, function space, L2 and space of continuous functions, Hilbert space, orthogonality, generalized Fourier series, linear transformation, adjoint transformation, eigenvalue problem, linear functional, Gateaux and Frechet differential, constrained optimization, infinite dimensional systems, complex analysis.

**5032. Probability, Statistics, and Stochastic Methods (3 s.h.) **

A balanced approach to probability, statistics, stochastic models, and stochastic differential equations with special emphasis on engineering applications. Random variables, probability distributions, Monte Carlo simulations models, statistical inference theory, design of engineering experiments, reliability and risk assessment, fitting data to probability distributions, ANOVA, stochastic processes, Brownian motion, white noise, random walk, colored noise processes. Differential equations subject to random initial conditions, random forcing functions, and random parameters. Partial differential equations subject to stochastic boundary conditions. New techniques for non-linear differential equations. Computer simulation with MAPLE and other symbolic algebra software.

**5033. Probability and Random Processes (3 s.h.) **

Sets and events, Random variables, Distribution and density functions, Functions of multiple random variables, Moments and conditional statistics, Information entropy, stochastic processes, wide-sense stationary process, ergodicity, correlation, and power spectrum of stationary processes. Applications to sampling theory and signal modulation and detection.

5116. **Spacecraft Systems Engineering (3 s.h.)
**

The concept of systems engineering is introduced using a satellite application. Systems engineering is a top-down approach to the design, implementation, testing, and deployment of large-scale systems to meet the needs of users. The topics will include systems engineering methodology, dynamics of spacecraft, and celestial mechanics. This course will also introduce the notion of invention and innovation, and how they are related to the intellectual property issues.

5117. **Experimental Methods (3 s.h.) **

Application and design of experimental techniques and measurement systems used in engineering laboratories. Introduction to the DMM, digital scope, and computer-based data acquisition systems for measurements of force, motion, pressure, temperature, and flow in steady and unsteady systems. Data transmission, data analysis and presentation, and computer interfacing techniques. Statistical methods and uncertainty analysis. Hands-on experience with state-of-the-art instrumentation systems.

**5311. Deformation and Fracture of Engineering Materials (3 s.h.) **

Elastic and plastic deformation of materials; introduction to dislocation theory; failure analysis. Topics include loading in real-life situations, variable loading, failure theories, buckling and instability, fatigue analysis, and fracture mechanics. Case histories are introduced from a variety of industries including automotive, aerospace, utilities, oil and gas, petrochemical and biomedical. Helpful techniques are introduced such as operating stress maps.

5511. **Fluid Dynamics (3 s.h.) **

Navier-Stoke`s equation, Laminar and turbulent flow, boundary layer phenomena, compressible fluid flow including isotropic flow, shock waves, friction flow, and flow with heat transfer.

**5719. Introduction to Bioengineering (3 s.h.) **

Introduction to current topics in bioengineering as presented by experts and researchers in the field.

**5721. Cell Biology for Engineers (3 s.h.) **

This course introduces biological concepts in modern cellular and molecular biology to engineering students. Topics will include the chemical composition of cells, bioenergetics and metabolism, structure and function of the plasma membrane, transport across membranes, the cytoplasmic membrane system, the extracellular matrix, interactions between cells and their environment, the cytoskeleton and cell motility, sensory systems, and cell signaling. In addition, an introduction to basic anatomy and physiology of vertebrates will include the skeletal system, muscle system, cardiovascular system, and nervous system.

5737. **Systems Physiology for Engineers (3 s.h.)
**

Systems Physiology is designed for graduate students majoring in engineering and for others interested in studying physiological processes from the molecular level to the organ/systems level. Among the topics covered are: scaling, respiration, circulation, cardiac process, renal function, muscle function, neuromuscular junction, neural processes, and temperature regulation. The course stresses the application of energetic and informational principles to the study of the body.

**5741. Biomaterials for Engineers (3 s.h.) **

This course introduces engineering students to materials as they interact with biological systems, primarily in medicine. Topics will include a review of properties of materials, the classes of materials, tissues that come into contact with materials, the degradation of materials in the biological environment, the application of materials for specific uses, tissue engineering, and biomaterials standards and regulations.

9182. **Independent Study I (3 s.h.)
**

Special study in a particular aspect of engineering under the direct supervision of a graduate faculty member. May be taken once by MS/MSE students and once by Ph.D. students.

**9282. Independent Study II (3 s.h.) **

Special study in a particular aspect of engineering under the direct supervisin of a graduate faculty member. May be taken once by Ph.D. students.

9990. **Engineering Seminar (1-6 s.h.)
**

Students present their research results at an open seminar. The seminars may be arranged on a biweekly basis over the semester. Active participation of all graduate students is expected.

9991. **Directed Research (1-6 s.h.)**

Under the guidance of a faculty member, the student will conduct independent research on a selected topic in engineering.

9994. **Preliminary Examination Preparation (1-6 s.h.) **

This course is intended for Ph.D. students who have completed their coursework but who have not yet passed both the Ph.D. Preliminary Examination.

9998. **Pre-Dissertation Research (1-6 s.h.) **

This course is intended for Ph.D. students who have passed both the Preliminary and Qualifying Examinations but who have not been elevated to candidacy.

9999. **Dissertation Research (1-6 s.h.) **

This course is intended only for those students who have achieved Ph.D. Candidacy status. A minimum of 6 semester hours is required for graduation.