Ph.D. Programs
Course Description

| Lecturers | | Ph.D. Candidates | | List of Journals | | Dissertation |
| Thesis Proposal | | Ph.D. Graduates | | Organization |

    Probational Research Project I
    Research project for probationary research student
3 (0-0-9)

    PH 7902

    Probational Research Project II
    Research project for probationary research student.
3 (0-0-9)

    PH 7903

    Probational Research Project III
    Research project for probationary research student.
3 (0-0-9)

    PH 8001

    Mathematical Foundations for Researchers
    Prerequisite : Consent of Instructor

    This course intends to provide sufficient background in mathematics
    applications to Ph.D. candidates to conduct his/her research. Thetopics include basic set theory, mathematical logic, methods of
    proof, sampling techniques, hypothesis testing, analysis of variance,
    goodness of fits test, factor analysis, queueing theory, simulation
    models, and Markov process.
3 (3-0-0)

    PH 8011

    Selected Topics in Mathematics
    Prerequisite : Consent of Instructor.
    Topics of current interest in the field of Mathematics.
3 (3-0-0)

    PH 8012

    Advanced Topics in Mathematics.
    Prerequisite : Consent of Instructor.
    Advanced topics in the field of Mathematics which will contribute
    to the student's research.
3 (3-0-0)

    PH 8021

    Selected Topics in Statistics. Prerequisite : Consent of Instructor.
    Topics of current interest in the field of Statistics.
3 (3-0-0)

    PH 8022

    Advanced Topics in Statistics.
    Prerequisite : Consent of Instructor.
    Advanced topics in the field of Statistics which will
    contribute tothe students' research.
3 (3-0-0)

    PH 8051

    Selected Topics in Computer Hardware
    Prerequisite : Consent of Instructor.
    Topics of current interest in the field of Computer Hardware.
3 (3-0-0)

    PH 8052

    Advanced Topics in Computer Hardware
    Prerequisite : Consent of Instructor.
    Advanced topics in the field of Computer Hardware which will
    contribute to the student's research.
3 (3-0-0)

    PH 8054

    Selected Topics in HW Control Structure
    Prerequisite : Consent of Instructor.
    Topics of current interest in the field of HW Control Structure.
3 (3-0-0)

    PH 8055

    Advanced Topics in HW Control Structure
    Prerequisite : Consent of Instructor.
    Advanced topics in the field of HW Control Structure which will
    contribute to the student's research.
3 (3-0-0)

    PH 8057

    Selected Topics in Arithmetic and Logic Structure
    Prerequisite : Consent of Instructor.
    Topics of current interest in the field of Arithmetic and Logic Structure.
3 (3-0-0)

    PH 8058

    Advanced Topics in Arithmetic and Logic Structure
    Prerequisite : Consent of Instructor.
    Advanced topics in the field of Arithmetic and Logic Structure which
    will contribute to the student's research.
3 (3-0-0)

    PH 8061

    Selected Topics in Memory Structure
    Prerequisite : Consent of Instructor.
    Topics of current interest in the field of Memory Structure.
3 (3-0-0)

    PH 8062

    Advanced Topics in Memory Structure
    Prerequisite : Consent of Instructor.
    Advanced topics in the field of Memory Structure which will
    contribute to the student's research.
3 (3-0-0)

    PH 8064

    Selected Topics in I/O Hardware
    Prerequisite : Consent of Instructor.
    Topics of current interest in the field of I/O Hardware.

3 (3-0-0)

    PH 8065

    Advanced Topics in I/O Hardware
    Prerequisite : Consent of Instructor.
    Advanced topics in the field of I/O Hardware which will
    contribute to the student's research.
3 (3-0-0)

    PH 8067

    Selected Topics in Data Communication
    Prerequisite : Consent of Instructor.
    Topics of current interest in the field of Data Communication.
3 (3-0-0)

    PH 8068

    Advanced Topics in Data Communication
    Prerequisite : Consent of Instructor.
    Advanced topics in the field of Data Communication which will
    contribute to the student's research.

3 (3-0-0)

    PH 8071

    Selected Topics in Data Terminals
    Prerequisite : Consent of Instructor.
    Topics of current interest in the field of Data Terminals
3 (3-0-0)

    PH 8072

    Advanced Topics in Data Terminals
    Prerequisite : Consent of Instructor.
    Advanced topics in the field of Data Terminals which
    will contribute to the student's research.
3 (3-0-0)

    PH 8074

    Selected Topics in Image Display
    Prerequisite : Consent of Instructor.
    Topics of current interest in the field of Image Display.
3 (3-0-0)

    PH 8075

    Advanced Topics in Image Display
    Prerequisite : Consent of Instructor.
    Advanced topics in the field of Image Display which will
    contribute to the student's research.
3 (3-0-0)

    PH 8077

    Selected Topics in HW Interfaces
    Prerequisite : Consent of Instructor.
    Topics of current interest in the field of HW Interfaces.
3 (3-0-0)

    PH 8078

    Advanced Topics in HW Interfaces
    Prerequisite : Consent of Instructor.
    Advanced topics in the field of HW Interfaces which will
    contribute to the student's research.
3 (3-0-0)

    PH 8081

    Selected Topics in Logic Design
    Prerequisite : Consent of Instructor.
    Topics of current interest in the field of Logic Design.
3 (3-0-0)

    PH 8082

    Advanced Topics in Logic Design
    Prerequisite : Consent of Instructor.
    Advanced topics in the field of Logic Design which will
    contribute to the student's research.
3 (3-0-0)

    PH 8084

    Selected Topics in Integrated Circuits
    Prerequisite : Consent of Instructor.
    Topics of current interest in the field of Integrated Circuits.
3 (3-0-0)

    PH 8085

    Advanced Topics in Integrated Circuits
    Prerequisite : Consent of Instructor.
    Advanced topics in the field of Integrated Circuits which will
    contribute to the student's research.
3 (3-0-0)

    PH 8100

    Selected Topics in Computer Systems Organization
    Prerequisite : Consent of Instructor.
    Topics of current interest in the field of Computer Systems Organization.
3 (3-0-0)
    PH 8101
    Advanced Topics in Computer Systems Organization
    Prerequisite : Consent of Instructor.
    Advanced topics in the field of Computer Systems Organization which
    will contribute to the student's research.
3 (3-0-0)

    PH 8103

    Selected Topics in System Architecture
    Prerequisite : Consent of Instructor.
    Topics of current interest in the field of System Architecture.
3 (3-0-0)

    PH 8104

    Advanced Topics in System Architecture
    Prerequisite : Consent of Instructor.
    Advanced topics in the field of System Architecture which will
    contribute to the student's research.
3 (3-0-0)

    PH 8106

    Selected Topics in System Specification Methodology
    Prerequisite : Consent of Instructor.
    Topics of current interest in the field of Specification Methodology.
3 (3-0-0)

    PH 8107

    Advanced Topics in System Specification Methodology
    Prerequisite : Consent of Instructor.
    Advanced topics in the field of System Specification Methodology which
    will contribute to the student's research.
3 (3-0-0)

    PH 8109

    Selected Topics in Array and Vector Processor
    Prerequisite : Consent of Instructor.
    Topics of current interest in the field of Array and Vector Processor.
3 (3-0-0)

    PH 8110

    Advanced Topics in Array and Vector Processor
    Prerequisite : Consent of Instructor.
    Advanced topics in the field of Array and Vector Processor which
    will contribute to the student's research.
3 (3-0-0)

    PH 8112

    Selected Topics in Security of Computer Network
    Prerequisite : Consent of Instructor.
    Topics of current interest in the field of Security of Computer Network.
3 (3-0-0)

    PH 8113

    Advanced Topics in Security of Computer Network
    Prerequisite : Consent of Instructor.
    Advanced topics in the field of Security of Computer Network which
    will contribute to the student's research.
3 (3-0-0)

    PH 8115

    Selected Topics in Network Architecture and Design
    Prerequisite : Consent of Instructor.
    Topics of current interest in the field of Network Architecture and Design.
3 (3-0-0)

    PH 8116

    Advanced Topics in Network Architecture and Design
    Prerequisite : Consent of Instructor.
    Advanced topics in the field of Network Architecture and Design
    which will contribute to the student's research.
3 (3-0-0)

    PH 8118

    Selected Topics in Network Protocols
    Prerequisite : Consent of Instructor.
    Topics of current interest in the field of Network Protocols.
3 (3-0-0)

    PH 8119

    Advanced Topics in Network Protocols
    Prerequisite : Consent of Instructor.
    Advanced topics in the field of Network Protocols which
    will contribute to the student's research.
3 (3-0-0)

    PH 8121

    Selected Topics in Network Operation
    Prerequisite : Consent of Instructor.
    Topics of current interest in the field of Network Operation.
3 (3-0-0)

    PH 8122

    Advanced Topics in Network Operation
    Prerequisite : Consent of Instructor.
    Advanced topics in the field of Network Operation which
    will contribute to the student's research.

3 (3-0-0)

    PH 8124

    Selected Topics in Distributed Systems
    Prerequisite : Consent of Instructor.
    Topics of current interest in the field of Distributed Systems.
3 (3-0-0)

    PH 8125

    Advanced Topics in Distributed Systems
    Prerequisite : Consent of Instructor.
    Advanced topics in the field of Distributed Systems which
    will contribute to the student's research.
3 (3-0-0)

    PH 8127

    Selected Topics in Local Area Network
    Prerequisite : Consent of Instructor.
    Topics of current interest in the field of Local Area Network.
3 (3-0-0)

    PH 8128

    Advanced Topics in Local Area Network
    Prerequisite : Consent of Instructor.
    Advanced topics in the field of Local Area Network which
    will contribute to the student's research.
3 (3-0-0)

    PH 8130

    Selected Topics in Microprocessor
    Prerequisite : Consent of Instructor.
    Topics of current interest in the field of Microprocessor.
3 (3-0-0)

    PH 8131

    Advanced Topics in Microprocessor
    Prerequisite : Consent of Instructor.
    Advanced topics in the field of Microprocessor which will
    contribute to the student's research.
3 (3-0-0)

    PH 8133

    Selected Topics in Process Control System
    Prerequisite : Consent of Instructor.
    Topics of current interest in the field of Process Control System.
3 (3-0-0)

    PH 8134

    Advanced Topics in Process Control System
    Prerequisite : Consent of Instructor.
    Advanced topics in the field of Process Control System which will
    contribute to the student's research.
3 (3-0-0)

    PH 8136

    Selected Topics in Real Time System
    Prerequisite : Consent of Instructor.
    Topics of current interest in the field of Real Time System.
3 (3-0-0)

    PH 8137

    Advanced Topics in Real Time System
    Prerequisite : Consent of Instructor.
    Advanced topics in the field of Real Time System which will
    contribute to the student's research.
3 (3-0-0)

    PH 8139

    Selected Topics in Signal Processing System
    Prerequisite : Consent of Instructor.
    Topics of current interest in the field of Signal Processing System.
3 (3-0-0)

    PH 8140

    Advanced Topics in Signal Processing System
    Prerequisite : Consent of Instructor.
    Advanced topics in the field of Signal Processing System which will
    contribute to the student's research.
3 (3-0-0)

    PH 8142

    Selected Topics in Performance of System
    Prerequisite : Consent of Instructor.
    Topics of current interest in the field of Performance of System.
3 (3-0-0)

    PH 8143

    Advanced Topics in Performance of System
    Prerequisite : Consent of Instructor.
    Advanced topics in the field of Performance of System which will
    contribute to the student's research.
3 (3-0-0)

    PH 8145

    Selected Topics in VLSI System
    Prerequisite : Consent of Instructor.
    Topics of current interest in the field of VLSLSI System.
3 (3-0-0)

    PH 8146

    Advanced Topics in VLSI System Prerequisite : Consent of Instructor.
    Advanced topics in the field of VLSI System which will
    contribute to the student's research.
3 (3-0-0)

    PH 8148

    Selected Topics in System Implementation
    Prerequisite : Consent of Instructor.
    Topics of current interest in the field of System Implementation.
3 (3-0-0)

    PH 8149

    Advanced Topics in System Implementation
    Prerequisite : Consent of Instructor.
    Advanced topics in the field of System Implementation which will
    contribute to the student's research.
3 (3-0-0)

    PH 8151

    Selected Topics in Computer Software
    Prerequisite : Consent of Instructor.
    Topics of current interest in the field of Computer Software.
3 (3-0-0)

    PH 8152

    Advanced Topics in Computer Software
    Prerequisite : Consent of Instructor.
    Advanced topics in the field of Computer Software which will
    contribute to the student's research.
3 (3-0-0)

    PH 8154

    Selected Topics in Programming Technique
    Prerequisite : Consent of Instructor.
    Topics of current interest in the field of Programming Technique.
3 (3-0-0)

    PH 8155

    Advanced Topics in Programming Technique
    Prerequisite : Consent of Instructor.
    Advanced topics in the field of Programming Technique which will
    contribute to the student's research.
3 (3-0-0)

    PH 8157

    Selected Topics in Software Engineering
    Prerequisite : Consent of Instructor.
    Topics of current interest in the field of Software Engineering.
3 (3-0-0)

    PH 8158

    Advanced Topics in Software Engineering
    Prerequisite : Consent of Instructor.
    Advanced topics in the field of Software Engineering which will
    contribute to the student's research.
3 (3-0-0)

    PH 8159

    Selected Topics in Programming Languages
    Prerequisite : Consent of Instructor.
    Topics of current interest in the field of Programming Languages.
3 (3-0-0)

    PH 8160

    Advanced Topics in Programming Languages
    Prerequisite : Consent of Instructor.
    Advanced topics in the field of Programming Languages which will
    contribute to the student's research.

3 (3-0-0)

    PH 8161

    Selected Topics in Operating System
    Prerequisite : Consent of Instructor.
    Topics of current interest in the field of Operating System.
3 (3-0-0)

    PH 8162

    Advanced Topics in Operating System
    Prerequisite : Consent of Instructor.
    Advanced topics in the field of Operating System which will contribute
    to the student's research.
3 (3-0-0)

    PH 8163

    Selected Topics in SW Standards and Specifications
    Prerequisite : Consent of Instructor.
    Topics of current interest in the field of SW Standards and Specifications.
3 (3-0-0)

    PH 8164

    Advanced Topics in SW Standards and Specifications
    Prerequisite : Consent of Instructor.
    Advanced topics in the field of SW Standards and Specifications
    whichwill contribute to the student's research.

3 (3-0-0)

    PH 8165

    Selected Topics in SW Tools and Techniques
    Prerequisite : Consent of Instructor.
    Topics of current interest in the field of Tools and Technique.

3 (3-0-0)

    PH 8166

    Advanced Topics in SW Tools and Techniques
    Prerequisite : Consent of Instructor.
    Advanced topics in the field of SW Tools and Techniques which will
    contribute to the student's research.

3 (3-0-0)

    PH 8167

    Selected Topics in Program Verification
    Prerequisite : Consent of Instructor.
    Topics of current interest in the field of Program Verification.

3 (3-0-0)

    PH 8168

    Advanced Topics in Program Verification
    Prerequisite : Consent of Instructor.
    Advanced topics in the field of Program Verification which will contribute
    to the student's research.

3 (3-0-0)

    PH 8169

    Selected Topics in SW Testing and Bebugging
    Prerequisite : Consent of Instructor.
    Topics of current interest in the field of SW Testing and Bebugging.
3 (3-0-0)

    PH 8170

    Advanced Topics in SW Testing and Bebugging
    Prerequisite : Consent of Instructor.
    Advanced topics in the field of SW Testing and Bebugging which will contribute
    to the student's research.
3 (3-0-0)

    PH 8171

    Selected Topics in SW Distribution and Maintenance
    Prerequisite : Consent of Instructor.
    Topics of current interest in the field of SW Distribution of Maintenance.
3 (3-0-0)

    PH 8172

    Selected Topics in SW Cost Estimation
    Prerequisite : Consent of Instructor.
    Topics of current interest in the field of SW Cost Estimation.
3 (3-0-0)

    PH 8173

    Selected Topics in SW Productivity
    Prerequisite : Consent of Instructor.
    Topics of current interest in the field of SW Productivity.
3 (3-0-0)

    PH 8174

    Selected Topics in SW Configuration Management
    Prerequisite : Consent of Instructor.
    Topics of current interest in the field of SW Configuration Management.
3 (3-0-0)

    PH 8175

    Selected Topics in SW Quality Assurance
    Prerequisite : Consent of Instructor.
    Topics of current interest in the field of SW Quality Assurance.
3 (3-0-0)

    PH 8176

    Selected Topics in SW Design Methodology
    Prerequisite : Consent of Instructor.
    Topics of current interest in the field of SW Design Methodology.
3 (3-0-0)

    PH 8177

    Selected Topics in SW Formal Specification
    Prerequisite : Consent of Instructor.
    Topics of current interest in the field of SW Formal Specification.
3 (3-0-0)

    PH 8178

    Selected Topics in Theory of Programming Languages
    Prerequisite : Consent of Instructor.
    Topics of current interest in the field of Theory of Programming Languages.
3 (3-0-0)

    PH 8179

    Advanced Topics in Theory of Programming Languages
    Prerequisite : Consent of Instructor.
    Advanced topics in the field of Theory of Programming Language which will
    contribute to the student's research.
3 (3-0-0)

    PH 8181

    Selected Topics in Language Classifications.
    Prerequisite : Consent of Instructor.
    Topics of current interest in the field of Language Classifications.
3 (3-0-0)

    PH 8182

    Selected Topics in Language Constructs
    Prerequisite : Consent of Instructor.
    Topics of current interest in the field of Language Constructs.
3 (3-0-0)

    PH 8183

    Selected Topics in Language Processor
    Prerequisite : Consent of Instructor.
    Topics of current interest in the field of Language Processor.
3 (3-0-0)

    PH 8184

    Advanced Topics in Language Processor
    Prerequisite : Consent of Instructor.
    Advanced topics in the field of Language Processor which will contribute
    to the student's research.
3 (3-0-0)

    PH 8185

    Selected Topics in OS Management
    Prerequisite : Consent of Instructor.
    Topics of current interest in the field of OS Management.
3 (3-0-0)

    PH 8186

    Selected Topics in Storage Management
    Prerequisite : Consent of Instructor.
    Topics of current interest in the field of Storage Management.
3 (3-0-0)

    PH 8187

    Selected Topics in File System Management
    Prerequisite : Consent of Instructor.
    Topics of current interest in the field of File System Management.

3 (3-0-0)

    PH 8188

    Selected Topics in SW Communication Management
    Prerequisite : Consent of Instructor.
    Topics of current interest in the field of SW Communication Management.
3 (3-0-0)

    PH 8189

    Selected Topics in SW Backup Management
    Prerequisite : Consent of Instructor.
    Topics of current interest in the field of SW Backup Management.
3 (3-0-0)

    PH 8190

    Selected Topics in SW Security and Protection
    Prerequisite : Consent of Instructor.
    Topics of current interest in the field of SW Security and Protection.
3 (3-0-0)

    PH 8191

    Selected Topics in Organization and Design of OS
    Prerequisite : Consent of Instructor.
    Topics of current interest in the field of Organization and Design of OS.
3 (3-0-0)

    PH 8192

    Selected Topics in OS Performance Evaluation
    Prerequisite : Consent of Instructor.
    Topics of current interest in the field of OS Performance Evaluation.
3 (3-0-0)

    PH 8193

    Selected Topics in System Programs and Utilities
    Prerequisite : Consent of Instructor.
    Topics of current interest in the field of System Programs and Utilities.
3 (3-0-0)

    PH 8194

    Selected Topics in Software Psychology
    Prerequisite : Consent of Instructor.
    Topics of current interest in the field of Software Psychology.
3 (3-0-0)

    PH 8200

    Selected Topics in Computer Data Technology
    Prerequisite : Consent of Instructor.
    Topics of current interest in the field of Computer Data Technology.
3 (3-0-0)

    PH 8201

    Advanced Topics in Computer Data Technology
    Prerequisite : Consent of Instructor.
    Advanced topics in the field of Computer Data Technology which will contribute
    to the student's research.
3 (3-0-0)

    PH 8203

    Selected Topics in Data Structures
    Prerequisite : Consent of Instructor.
    Topics of current interest in the field of Data Structures.
3 (3-0-0)

    PH 8204

    Advanced Topics in Data Structures
    Prerequisite : Consent of Instructor.
    Advanced topics in the field of Data Structures which will contribute
    to the student's research.
3 (3-0-0)

    PH 8206

    Selected Topics in Data Storage Representation
    Prerequisite : Consent of Instructor.
    Topics of current interest in the field of Data Storage Representation.
3 (3-0-0)

    PH 8207

    Advanced Topics in Data Storage Representation
    Prerequisite : Consent of Instructor.
    Advanced topics in the field of Data Storage Representation which will
    contribute to the student's research.

3 (3-0-0)

    PH 8209

    Selected Topics in Data Encryption
    Prerequisite : Consent of Instructor.
    Topics of current interest in the field of Data Encryption.
3 (3-0-0)

    PH 8210

    Advanced Topics in Data Encryption
    Prerequisite : Consent of Instructor.
    Advanced topics in the field of Data Encryption which will contribute
    to the student's research.
3 (3-0-0)

    PH 8212

    Selected Topics in Data Compaction and Compression
    Prerequisite : Consent of Instructor.
    Topics of current interest in the field of Data Compaction and Compression.
3 (3-0-0)

    PH 8213

    Advanced Topics in Data Compaction and Compression
    Prerequisite : Consent of Instructor.
    Advanced topics in the field of Data Compaction and Compression which
    will contribute to the student's research.
3 (3-0-0)

    PH 8215

    Selected Topics in Data Backup and Recovery
    Prerequisite : Consent of Instructor.
    Topics of current interest in the field of Data Backup and Recovery.
3 (3-0-0)

    PH 8216

    Advanced Topics in Data Backup and Recovery
    Prerequisite : Consent of Instructor.
    Advanced topics in the field of Data Backup and Recovery which will
    contribute to the student's research.
3 (3-0-0)

    PH 8218

    Selected Topics in Information Theory
    Prerequisite : Consent of Instructor.
    Topics of current interest in the field of Information Theory.
3 (3-0-0)

    PH 8219

    Advanced Topics in Information Theory
    Prerequisite : Consent of Instructor.
    Advanced topics in the field of Information Theory which will contribute
    to the student's research.

3 (3-0-0)

    PH 8221

    Selected Topics in Data Files
    Prerequisite : Consent of Instructor.
    Topics of current interest in the field of Data Files.
3 (3-0-0)

    PH 8222

    Advanced Topics in Data Files
    Prerequisite : Consent of Instructor.
    Advanced topics in the field of Data Files which will contribute
    to the student's research.

3 (3-0-0)

    PH 8224

    Selected Topics in Database
    Prerequisite : Consent of Instructor.
    Topics of current interest in the field of Database.

3 (3-0-0)

    PH 8225

    Advanced Topics in Database
    Prerequisite : Consent of Instructor.
    Advanced topics in the field of Database which will contribute
    to the student's research.

3 (3-0-0)

    PH 8227

    Selected Topics in Searching and Sorting
    Prerequisite : Consent of Instructor.
    Topics of current interest in the field of Searching and Sorting.
3 (3-0-0)

    PH 8228

    Advanced Topics in Searching and Sorting
    Prerequisite : Consent of Instructor.
    Advanced topics in the field of Searching and Sorting which will contribute
    to the student's research.
3 (3-0-0)

    PH 8251

    Selected Topics in Theory of Computations
    Prerequisite : Consent of Instructor.
    Topics of current interest in the field of Theory of Computations.
3 (3-0-0)

    PH 8252

    Advanced Topics in Theory of Computations
    Prerequisite : Consent of Instructor.
    Advanced topics in the field of Theory of Computations which will contribute
    to the student's research.
3 (3-0-0)

    PH 8254

    Selected Topics in Computations by Abstract Devices
    Prerequisite : Consent of Instructor.
    Topics of current interest in the field of Computations by Abstract Devices.
3 (3-0-0)

    PH 8255

    Advanced Topics in Computations by Abstract Devices
    Prerequisite : Consent of Instructor.
    Advanced topics in the field of Computations by Abstract Devices which will
    contribute to the student's research.
3 (3-0-0)

    PH 8257

    Selected Topics in Analysis of Algorithms
    Prerequisite : Consent of Instructor.
    Topics of current interest in the field of Analysis of Algorithms.
3 (3-0-0)

    PH 8258

    Advanced Topics in Analysis of Algorithms
    Prerequisite : Consent of Instructor.
    Advanced topics in the field of Analysis of Algorithms which will contribute
    to the student's research.
3 (3-0-0)

    PH 8260

    Selected Topics in Problem Complexity
    Prerequisite : Consent of Instructor.
    Topics of current interest in the field of Problem Complexity.
3 (3-0-0)

    PH 8261

    Advanced Topics in Problem Complexity
    Prerequisite : Consent of Instructor.
    Advanced topics in the field of Problem Complexity which will contribute
    to the student's research.
3 (3-0-0)

    PH 8263

    Selected Topics in Logic and Meaning of Programs
    Prerequisite : Consent of Instructor.
    Topics of current interest in the field of Logic and Meaning of Programs.
3 (3-0-0)

    PH 8264

    Advanced Topics in Logic and Meaning of Programs
    Prerequisite : Consent of Instructor.
    Advanced topics in the field of Logic and Meaning of Programs which will
    contribute to the student's research.
3 (3-0-0)

    PH 8266

    Selected Topics in Mathematical Logic
    Prerequisite : Consent of Instructor.
    Topics of current interest in the field of Mathematical Logic.
3 (3-0-0)

    PH 8267

    Advanced Topics in Mathematical Logic
    Prerequisite : Consent of Instructor.
    Advanced topics in the field of Mathematical Logic which will contribute
    to the student's research.
3 (3-0-0)

    PH 8269

    Selected Topics in Formal Languages
    Prerequisite : Consent of Instructor.
    Topics of current interest in the field of Formal Languages.
3 (3-0-0)

    PH 8270

    Advanced Topics in Formal Languages
    Prerequisite : Consent of Instructor.
    Advanced topics in the field of Formal Languages which will contribute
    to the student's research.
3 (3-0-0)

    PH 8301

    Selected Topics in Mathematics of Computing
    Prerequisite : Consent of Instructor.
    Topics of current interest in the field of Mathematics of Computing
3 (3-0-0)

    PH 8302

    Advanced Topics in Mathematics of Computing
    Prerequisite : Consent of Instructor.
    Advanced topics in the field of Computing which will contribute
    to the student's research. .

3 (3-0-0)

    PH 8304

    Selected Topics in Computer Arithmetics.
    Prerequisite : Consent of Instructor.
    Topics of current interest in the field of Computer Arithmetics.
3 (3-0-0)

    PH 8305

    Advanced Topics in Computer Arithmetics
    Prerequisite : Consent of Instructor.
    Advanced topics in the field of Computer Arithmetics which will contribute
    to the student's research.
3 (3-0-0)

    PH 8307

    Selected Topics in Numerical Analysis
    Prerequisite : Consent of Instructor.
    Topics of current interest in the field of Numerical Analysis.
3 (3-0-0)

    PH 8308

    Advanced Topics in Numerical Analysis
    Prerequisite : Consent of Instructor.
    Advanced topics in the field of Numerical Analysis which will contribute
    to the student's research.
3 (3-0-0)

    PH 8310

    Selected Topics in Error Analysis
    Prerequisite : Consent of Instructor.
    Topics of current interest in the field of Error Analysis.
3 (3-0-0)

    PH 8311

    Advanced Topics in Error Analysis
    Prerequisite : Consent of Instructor.
    Advanced topics in the field of Error Analysis which will contribute
    to the student's research.
3 (3-0-0)

    PH 8313

    Selected Topics in Interpolation
    Prerequisite : Consent of Instructor.
    Topics of current interest in the field of Interpolation.
3 (3-0-0)

    PH 8314

    Advanced Topics in Interpolation
    Prerequisite : Consent of Instructor.
    Advanced topics in the field of Interpolation which will contribute
    to the student's research.

3 (3-0-0)

    PH 8316

    Selected Topics in Approximation
    Prerequisite : Consent of Instructor.
    Topics of current interest in the field of Approximation.
3 (3-0-0)

    PH 8317

    Advanced Topics in Approximation
    Prerequisite : Consent of Instructor.
    Advanced topics in the field of Approximation which will contribute
    to the student's research.
3 (3-0-0)

    PH 8319

    Selected Topics in Numerical Linear Algebra
    Prerequisite : Consent of Instructor.
    Topics of current interest in the field of Numerical Linear Algebra.
3 (3-0-0)

    PH 8320

    Advanced Topics in Numerical Linear Algebra
    Prerequisite : Consent of Instructor.
    Advanced topics in the field of Numerical Linear Algebra which will
    contribute to the student's research.
3 (3-0-0)

    PH 8322

    Selected Topics in Nonlinear Equations
    Prerequisite : Consent of Instructor.
    Topics of current interest in the field of Nonlinear Equations.
3 (3-0-0)

    PH 8323

    Advanced Topics in Nonlinear Equations
    Prerequisite : Consent of Instructor.
    Advanced topics in the field of Nonlinear Equations which will contribute
    to the student's research.
3 (3-0-0)

    PH 8325

    Selected Topics in Optimization
    Prerequisite : Consent of Instructor.
    Topics of current interest in the field of Optimization.
3 (3-0-0)

    PH 8326

    Advanced Topics in Optimization
    Prerequisite : Consent of Instructor.
    Advanced topics in the field of Optimization which will contribute to
    the student's research.

3 (3-0-0)

    PH 8328

    Selected Topics in Differential Equations
    Prerequisite : Consent of Instructor.
    Topics of current interest in the field of Differential Equations.
3 (3-0-0)

    PH 8329

    Advanced Topics in Differential Equations
    Prerequisite : Consent of Instructor.
    Advanced topics in the field of Differential Equations which will contribute
    to the student's research.
3 (3-0-0)

    PH 8331

    Selected Topics in Graph Theory
    Prerequisite : Consent of Instructor.
    Topics of current interest in the field of Graph Theory.
3 (3-0-0)

    PH 8332

    Advanced Topics in Graph Theory
    Prerequisite : Consent of Instructor.
    Advanced topics in the field of Graph Theory which will contribute
    to the student's research.
3 (3-0-0)

    PH 8334

    Selected Topics in Probability and Statistics
    Prerequisite : Consent of Instructor.
    Topics of current interest in the field of Probability and Statistics.
3 (3-0-0)

    PH 8335

    Advanced Topics in Probability and Statistics
    Prerequisite : Consent of Instructor.
    Advanced topics in the field of Probability and Statistics which will contribute
    to the student's research.
3 (3-0-0)

    PH 8337

    Selected Topics in Discrete Mathematics
    Prerequisite : Consent of Instructor.
    Topics of current interest in the field of Discrete Mathematics.
3 (3-0-0)

    PH 8338

    Advanced Topics in Discrete Mathematics
    Prerequisite : Consent of Instructor.
    Advanced topics in the field of Discrete Mathematics which will contribute
    to the student's research.
3 (3-0-0)

    PH 8340

    Selected Topics in Mathematical Software
    Prerequisite : Consent of Instructor.
    Topics of current interest in the field of Mathematical Software.
3 (3-0-0)

    PH 8341

    Advanced Topics in Mathematical Software
    Prerequisite : Consent of Instructor.
    Advanced topics in the field of Mathematical Software which will contribute
    to the student's research.
3 (3-0-0)

    PH 8351

    Selected Topics in Information Systems
    Prerequisite : Consent of Instructor.
    Topics of current interest in the field of Information Systems.
3 (3-0-0)

    PH 8352

    Advanced Topics in Information Systems
    Prerequisite : Consent of Instructor.
    Advanced topics in the field of Information Systems which will contribute
    to the student's research.
3 (3-0-0)

    PH 8354

    Selected Topics in Information Systems Modeling
    Prerequisite : Consent of Instructor.
    Topics of current interest in the field of Information Systems Modeling.
3 (3-0-0)

    PH 8355

    Advanced Topics in Information Systems Modeling
    Prerequisite : Consent of Instructor.
    Advanced topics in the field of Information System Modeling which will
    contribute to the student's research.
3 (3-0-0)

    PH 8357

    Selected Topics in Systems Theory
    Prerequisite : Consent of Instructor.
    Topics of current interest in the field of Systems Theory.
3 (3-0-0)

    PH 8358

    Advanced Topics in Systems Theory
    Prerequisite : Consent of Instructor.
    Advanced topics in the field of Systems Theory which will contribute to
    the student's research.
3 (3-0-0)

    PH 8360

    Selected Topics in Database Management
    Prerequisite : Consent of Instructor.
    Topics of current interest in the field of Database Management.
3 (3-0-0)

    PH 8361

    Advanced Topics in Database Management
    Prerequisite : Consent of Instructor.
    Advanced topics in the field of Database Management which will contribute
    to the student's research.