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College of Engineering & Science - Louisiana Tech University


Computational Analysis & Modeling

Cyberspace, Network Science, Information Assurance

Steering Committee Coordinator: Please contact Dr. Galen Turner regarding any questions about the Cyberspace & Network Science track in CAM.

Math Core (9 SCH): (Common to all Tracks)

MATH 414 & MATH 415 with either MATH 407 or STAT 620 or STAT 621

Math 407 (Partial Differential Equations)
3 Credit Hours. Preq, MATH 245, Solution of linear first order equations. Formation and solution of second order problems of parabolic, elliptic, and hyperbolic type. (G)

Math 414 (Numerical Analysis)
3 Credit Hours. Preq, MATH 245, knowledge of a programming language. Roots of polynomial and other nonlinear equations. Interpolating polynomials. Numerical differentiation. Numerical Integration. Direct methods for solving linear systems.(G)

Math 415 (Numerical Analysis)
3 Credit Hours. Preq, MATH 245, knowledge of a programming language. Numerical applications of linear algebra. Curve fitting. Function approximation. Numerical solution of systems of equations, differential equations, systems of differential equations, boundary value problems. (G)

STAT 620 (Theory of Probability)
3 Credit Hours. Preq, any 500 level STAT Course, and MATH 244. Combinatorial analysis, conditional probability, distribution theory, random variables, random vectors, limit theorems and random walks.

STAT 621 (Theory of Statistics)
3 Credit Hours. Preq, STAT 520 or 620. Point estimation, interval estimation, statistical hypothesis, statistical tests, non parametric inference, and normal distribution theory.

 

CS Core (6 SCH): (Common to all Tracks)
CSC 428 & CSC 438

CSC 428 (Object Oriented Programming and Data Structures)
3 Credit Hours. Preq, consent of instructor. Programming paradigms, syntax, semantics, data types, expression, control statements and sub programs; object oriented concepts, abstract data types, recursion, queues and trees. (G)

CSC 438 (Advanced Data Structures and Algorithm Design)
3 Credit Hours. Preq, consent of instructor. Algorithm analysis and design, sorting algorithms, hashing, search trees, disjoint sets, graph algorithms, divide and conquer, greedy algorithms, dynamic programming, backtracking, and NP completeness. (G)

 

Supporting Core (CS - 3 SCH, MATH - 6 SCH)

CSC 475, MATH 435, MATH 535

CSC 475 (Artificial Intelligence) 3 Credit Hours. Preq, CSC 430. The design and implementation of artificially intelligent programs. Topics include game playing, heuristic search, logic, knowledge representation, and reasoning strategies. Social implications are also discussed. (G)

Math 435 (Introduction to Graph Theory) 3 Credit Hours. Preq, MATH 307, 311, or 318. Fundamental concepts of undirected and directed graphs, trees, connectivity, planarity, colorability, network flows, Hamiltonian and Eulerian graphs, matching theory and applications. (G)

Math 535 (Graph Theory) 3 Credit Hours. Preq, MATH 435 or consent of instructor. Fundamental concepts of graph theory, connectivity and traversability, algebraic and topological methods, graph minors, extremal graph theory, planarity, colorability, and random graphs.


Suggested Elective Courses (21 SCH total)

(see advisor)
CSC 450, CSC 554, CSC 575, CIS 521, CIS 522, CIS 523, CIS 524, CAM 657
CIS topics yet to be announced.

CSC 450 (Computer Networks)
3 Credit Hours. Preq, CSC 345. An overview of computer networks. Topics include network topologies, layers, local area networks and performance measurement and analysis. (G)

CSC 554 (Advanced Networking) 3 Credit Hours. Preq, CSC 450. May be repeated with change in subject matter. Selected Research topics of current interest in the field of computer communications and networks.

CSC 575 (Advanced Topics in Artificial intelligence) 3 Credit Hours. Preq, CSC 475. Advanced topics in artificial intelligence including: problem-solving systems, natural language understanding, intelligent tutoring systems, learning and neural networks.

Directed Study (6 SCH)
CAM 650 or equivalent courses with other prefixes.

 

Qualifying Exam

MATH: CAM 685

CS: CAM 686

Dissertation (18 SCH)

CAM 651

Total (72 SCH)= MATH 15SCH + CS 9SCH + Elective 21 SCH + Directed Study 6 SCH + CAM610 3SCH + Dissertation 18 SCH.