# Topics for Preliminary Examinations

**CGU Institute of Mathematical Sciences Preliminary Examinations**

Preliminary examinations in mathematics for the joint program may be chosen from single courses of sufficiently advanced level. These include Math 273, Math 280, and courses numbered 3XX. It is also possible for a preliminary examination to be based on material from two courses at a beginning graduate level, e.g. Math 251/252 or Math 251/256.

### CSULB College of Engineering Preliminary Examinations

The College of Engineering requires a minimum of **two graduate courses** (graded B or above) as a basis for each Preliminary Examination. With the consent of their dissertation advisor, students may select **two topics from the list below**. With the permission of their dissertation advisor and the CSULB director of Joint Doctoral Program, they may also designate other topics for their Preliminary Examination.

##### Civil Engineering Topics:

Civil Engineering Modeling

- CE 630: Mathematical Modeling in Hydraulic Engineering
- CE 740: Mathematical Modeling in Geotechnical Engineering

Civil Engineering (Select any two course combination)

- CE 502-Finite Elements Methods II
- CE 602-Advanced Topics in Civil Engineering
- CE 508-Probablistic Methods in Engineering Applications
- CE 555-Seismic Design II
- CE 629/729-Traffic Operations

##### Computer Engineering and Computer Science Topics:

Computer Architecture (minimum of two courses)

- CECS 630: Advanced Computer Architecture
- CECS 631: Advanced Computer Architecture II
- CECE 646: Fault Tolerant Computer Systems

Software Engineering (minimum of two courses)

- CECS 643: Advanced Software Engineering
- CECS644: Software Testing and Verification
- CECS 645: Software Architecture

Networking and Distributed Systems

- CECS 672: Advanced Computer Networking
- CECS 673: Topics in Distributed Computer Systems

Operating Systems

- CECS 626: Advanced Operating Systems
- CECS 670: Concurrent Parallel Programming

Artificial Intelligence (minimum of two courses)

- CECS 651: Advanced Artificial Intelligence
- CECS 650: Pattern Recognition Using Artificial Intelligence
- CECS 653: Machine Vision

Algorithms and Computer Science Theory

- CECS 628: Advanced Analysis of Algorithm
- CECS 690: Special Topics in Computer Science

Simulation and Modeling

- CECS 652: Computer Simulation and Modeling
- CECS 628: Advanced Analysis of Algorithms

##### Electrical Engineering Topics:

Analog and Mixed-Signal Electronics

- EE 532/632: Analog Signal Processing
- EE 534: Mixed-Signal IC Design

Biomedical Systems

- EE 506/606:Theory and Practice of Biomedical Instrumentation
- EE 507/607: Advanced Biomedical Systems

Communication Systems (minimum of two courses)

- EE 580: Statistical Communication Theory
- EE 581: Satellite Communication Systems
- EE 582: Spread Spectrum Communication Systems

Controls and Robotics (minimum of two courses)

- EE 511: Linear Systems Analysis
- EE 574: Robot Dynamics and Control
- EE 675: Non-Linear Control Systems

Digital Signal Processing (select any two course combination)

- EE 527: Digital Filter Design and Audio Processing
- EE 528: Speech Signal Processing
- EE 576: Neural Networks and Fuzzy Logic
- EE 585/685: Advanced Digital Signal Processing
- EE 586: Real-time Digital Signal Processing
- EE 568/668: Wavelet Theory and Applications

Digital Communication Networks and Systems (minimum of two courses)

- EE 540: Advance Digital System and Computer Architecture
- EE 545: Computer Communication Networks
- EE 548: Wireless and Mobile Networks and Security
- EE 5xx: Nanotechnology (new course)

Digital Electronics

- EE 531: CMOS Analog Design
- EE 535: VLSI Design

Systems Engineering

- EE 502: Engineering Modeling and Simulation
- EE 511: Linear Systems Analysis

Networks and Filters

- EE 509: Network Theory
- EE 510: Circuit Synthesis

Optical Electronics (minimum of two courses, must include EE533/633)

- EE 533/633: Quantum and Optical Electronics
- Physics 540A: Graduate Electricity and Magnetism
- Physics 550A: Quantum Mechanics I

Power Systems and Power Electronics (minimum of two courses)

- EE 551: Theory and Applications of DC/DC Converters
- EE 552: Electric Machines and Robotic Applications
- EE 553: Protection of Power Systems

##### Engineering Topics:

Systems Engineering (minimum of two courses)

- EE 502: Engineering Modeling and Simulation
- CECS 552/652: Computer Simulation and Modeling
- MAE 505: Quantitative Methods for Engineering Managers
- MAE 507: Engineering Project Management

##### Mechanical and Aerospace Engineering Topics:

Aerodynamics and Computation Fluid Dynamics (minimum of two courses)

- MAE 633: Hypersonic Flow
- MAE 635/735: Computational Fluid Dynamics II
- MAE 637: Advanced Fluid Dynamics

Aerospace Structures and Materials (minimum of two courses)

- MAE 642: Aeroelasticity
- MAE 669: Design of Composite Structures
- MAE 672: Stress Analysis in Design

Dynamics, Vibration and Control (minimum of two courses)

- 675: Modal Analysis
- 676: Engineering Vibrations II
- 671 Random and Nonlinear Vibrations

Fluid and Thermal Sciences (minimum of two courses)

- MAE 631: Thermal Radiation
- MAE 632: Combustion II
- MAE 637: Advanced Fluid Dynamics II

Materials, Mechanics and Design and manufacturing (minimum of two courses)

- MAE 612 Computer Aided Design in Manufacturing
- MAE 672: Stress Analysis in Design
- MAE 673: Theory of Elasticity and Plasticity

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