3 Catalog description of the official courses I’ve taken
MATH 501A Numerical Analysis and Computation I Description: Prerequisites:
Mathematics 489A,B or consent of instructor. Numerical methods for linear and
nonlinear systems of equations, eigenvalue problems. Interpolation and approximation,
spline functions, numerical differentiation, integration and function evaluation. Error
analysis, comparison, limitations of algorithms. Must be taken concurrently with
Mathematics 501B.
MATH 501B Numerical Analysis and Computation II Description: Prerequisites:
Mathematics 489A,B or consent of instructor. Numerical methods for initial and
boundary-value problems for ordinary and partial differential equations. The finite
element method. Error analysis, comparison, limitations of algorithms. Must be taken
concurrently with Mathematics 501A.
MATH 503A Mathematical Modeling I (Summer, 3 units) Description: Prerequisites:
Mathematics 489A,B or consent of instructor. Mathematical modeling concepts. Topics
may include: dimensional analysis, scaling, and sensitivity; system concepts, state
space, observability, controllability, and feedback; dynamical systems, models and
stability analysis; optimization models.
MATH 503B Mathematical Modeling II (Summer, 3 units) Description: Prerequisites:
Mathematics 489A,B or consent of instructor. Development and analysis of
mathematical models in such areas as mechanics, economic planning, operations
management, environmental and ecological sciences, biology and medicine. The course
includes a project, with students working in a team setting.
MATH 502A Probability and Statistics I (Fall, 3 units) Description: Prerequisites:
Mathematics 335 and 489A,B. Theory and applications of probability models including
univariate and multivariate distributions; expectations and transformations of random
variables.
MATH 502B Probability and Statistics II (Fall, 3 units) Description: Prerequisite:
Mathematics 502A. Theory and applications of sampling theory, statistical estimation,
and hypothesis testing.
MATH 504A Simulation Modeling and Analysis Description: Prerequisites:
Mathematics 501A,B; 502A,B; 503A,B; and consent of instructor. Advanced techniques
of simulation modeling, including the design of Monte Carlo, discrete event, and
continuous simulations. Topics will include output data analysis, comparing alternative
system configurations, variance-reduction techniques, and experimental design and
optimization. Must be taken concurrently with Mathematics 504B.
MATH 504B Applications of Simulation Modeling Techniques Description:
Prerequisites: Mathematics 501A,B; 502A,B; 503A,B; and consent of instructor.
Introduction to a modern simulation language, and its application to simulation
modeling. Topics will include development of computer models to demonstrate the
techniques of simulation modeling, model verification, model validation, and methods
of error analysis. Must be taken concurrently with Mathematics 504A.
MATH 597 Industrial Project (Summer, 6 units) Summer Industrial Project The
culminating experience is a project, which replaces the standard comprehensive
examinations or thesis requirements. Here students have the opportunity to work in
teams on a real problem, contracted and paid for by a local industrial firm. The project
is intended to provide a realistic industrial-like experience, complete with deadlines
and a written final report, where students can put what they have learned to work,
and where success is based on individual initiative, teamwork, and communication
skills. In order to be able to complete projects during the summer, preliminary work
is integrated into Math 504A,B.
409 Introduction to Linear Systems (3) Prerequisite: EGEE 309. Development of
time and frequency domain models for physical systems. Linearization process and
representation with block diagrams and signal flow graphs; discrete-time systems and
digital signals including use of Z-transforms; stability theory of continuous and discrete
time systems.
EE 420 Introduction to Digital Filtering (3) Prerequisite: EGEE 409. Discrete-time
signals and systems; solution of difference equations; Fourier transform for a sequence;
Z-transform; discrete Fourier transform; FIR and IIR realizations; design of digital
filters.
EE 443 Electronic Communication Systems (3) Prerequisites: EGEE 310 and 323
or equivalent. Principles of amplitude, angular and pulse modulation, representative
communication systems, the effects of noise on system performance.
EE 518 Digital Signal Processing (3) Prerequisite: EGEE 420. Discrete Fourier
transform; fast Fourier transform; Chirp Z-transform; discrete time random signals;
floating-point arithmetic; quantization; finite word length effect in digital filters;
spectral analysis and power spectrum estimation.
ME 431 Mechanical Vibrations (3) Prerequisites: EGME 205 and 308, and EGCE
302. Modeling and analysis of single and multiple degrees of freedom systems.
Response to forcing functions. Vibrations of machine elements. Design of vibration
isolation systems. Balancing of rotating machinery. Random excitation and response
of mechanical structures.
ME 511 Advanced Mechanical Vibrations (3) Prerequisite: EGME 431. Vibrations in
rotating and reciprocating machines; noise and vibration in fluid machinery; continuous
systems; random vibrations; transient and nonlinear vibration, computer applications.