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Mathematics |
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MATH 245: Differential Equations 3 Semester Credit Hours . 0-3-3 Prerequisite MATH 244 Separable differential equations, linear constant coefficient differential equations (homogeneous and inhomogeneous), Laplace transforms, series solutions, linear systems, Euler’s methods. |
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MATH 302: Introduction to Geometry and Mathematical Foundations 3 Semester Credit Hours . 0-3-3 Prerequisite MATH 242 Multi-topic seminar focused on NCTM content knowledge standards in algebra, geometry and trigonometry including functions and notations, plane geometry topics.
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MATH 303: Introduction to Vector and Tensor Analysis 3 Semester Credit Hours . 0-3-3 Prerequisite MATH 244 Multi-topic seminar focused on NCTM content knowledge standards in vector and matrix operations, linear algebra, statistics and probability, and Calculus. Historical perspectives of those topics.
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MATH 307: Fundamentals of Mathematics 3 Semester Credit Hours . 0-3-3 Prerequisite MATH 243 . Sets, relations, functions, equations, inequalities, proofs, development of the integers and rational numbers. |
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MATH 308: Introduction To Linear Algebra 3 Semester Credit Hours . 0-3-3 Prerequisite MATH 243 or MATH 311 Matrices, systems of linear equations, vectors, vector spaces, linear transformations, eigenvalues and eigenvectors. |
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MATH 311: Discrete Mathematics I 3 Semester Credit Hours . 0-3-3 Prerequisite MATH 242 . Logic, sets, functions, finite and infinite sets, permutations and combinations. Fibonacci numbers, Euclidean algorithm. |
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MATH 313: Introductory Numerical Analysis 3 Semester Credit Hours . 0-3-3 Corequisite MATH 245 . Numerical techniques for finding roots of equations, solving systems of equations, approximating functions, derivatives and integrals, and solving differential equations (Runge-Kutta method). |
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MATH 315: Financial Mathematics 3 Semester Credit Hours . 0-3-3 Prerequisite MATH 244 , INEN 300 , and INEN 301 An overview of mathematical concepts in finance. Time value of money, annuities, perpetuities, discounts, cash flows, loans, bonds, hedging, and investment strategies. |
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MATH 394: Research Methods 2 Semester Credit Hours . 3-1-2 Prerequisite MATH 308 and Consent of Instructor Introduction to scientific research methods and tools including ones in a lab setting, scientific literature search, selection of research topics, presentations of research results.
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MATH 401: College Geometry 3 Semester Credit Hours . 0-3-3 Prerequisite MATH 243 Logical systems and basic laws of reasoning, axiomatic geometry, geometric transformations, selected Euclidean geometry, non-Euclidean and projective geometries. (G) |
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MATH 405: Linear Algebra 3 Semester Credit Hours . 0-3-3 Prerequisite MATH 308 Study of linear systems, matrices, decomposition theorems, determinants, vector spaces and subspaces, linear transformations and representations by matrices. |
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MATH 407: Partial Differential Equations 3 Semester Credit Hours . 0-3-3 Prerequisite MATH 245 Solution of linear first order equations. Formation and solution of second order problems of parabolic, elliptic, and hyperbolic type. (G) |
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MATH 408: Intro To Abstract Algebra 3 Semester Credit Hours . 0-3-3 Prerequisite MATH 307 or MATH 311 Fundamental set concepts, groups, rings, integral domains, fields, polynomials. (G) |
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MATH 414: Numerical Analysis 3 Semester Credit Hours . 0-3-3 Prerequisite 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) |
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MATH 415: Numerical Analysis 3 Semester Credit Hours . 0-3-3 Prerequisite 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) |
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MATH 416: Abstract Algebra 3 Semester Credit Hours . 0-3-3 Prerequisite MATH 408 Number theory, equivalences, and congruences, groups ideals. (G) |
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MATH 420: Math Methods for Engr and Physics 3 Semester Credit Hours . 0-3-3 Prerequisite MATH 245 Introduction to advanced mathematical methods used in physics, including vectors & tensors, complex functions and integration, boundary value problems, Fourier series, and Fourier transforms. This is a cross-listing of PHYS 410 . Credit will not be given for MATH 420 if credit is given for PHYS 410 . |
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MATH 425: Nonlinear Dynamics and Chaos 3 Semester Credit Hours . 0-3-3 Prerequisite MATH 245 Introduction to phase space variables, computational solutions to linear and nonlinear differential systems, bifurcations, phase portraits, limit cycles, chaotic systems, maps, and fractals. This is a cross-listing of PHYS 445 . Credit will not be given for MATH 425 if credit is given for PHYS 445 . (G) |
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MATH 435: Introduction To Graph Theory 3 Semester Credit Hours . 0-3-3 Prerequisite MATH 307 or MATH 311 or MATH 408 Fundamental concepts of undirected and directed graphs, trees, connectivity, planarity, colorability, network flows, Hamiltonian and Eulerian graphs, matching theory and applications. (G) |
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MATH 445: Theory of Functions of Complex Variables 3 Semester Credit Hours . 0-3-3 Prerequisite MATH 244 Complex numbers, analytic functions, elementary functions, mapping elementary functions, integrals, power series, residues, poles, conformal mappings, applications of conformal mappings. (G) |
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MATH 450: Ordinary Differential Equations 3 Semester Credit Hours . 0-3-3 Prerequisite MATH 245 AND MATH 482 . First-order equations, second-order linear equations, general linear equations and systems, existence and uniqueness theorems, plane autonomous systems. (G) |
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MATH 460: Number Theory 3 Semester Credit Hours . 0-3-3 Prerequisite MATH 307 or MATH 311 Divisibility properties of integers, prime numbers, congruences, number theoretic functions. (G) |
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MATH 470: Introduction To Topology 3 Semester Credit Hours . 0-3-3 Prerequisite MATH 244 Introduction of concepts, metric spaces, countability axioms, separation axioms, connectedness, compactness, product spaces, continuous mappings and homeomorphisms, homotopy, quotient spaces. (G) |
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MATH 482: Introduction To Real Analysis 3 Semester Credit Hours . 0-3-3 Prerequisite MATH 244 and MATH 311 or MATH 307 Rigorous introduction to the analysis of functions of one real variable; limits, continuity, derivatives, Riemann integration. (G) |
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MATH 483: Introductory Analysis 3 Semester Credit Hours . 0-3-3 Prerequisite MATH 482 Functions in abstract spaces, limits and continuity in metric spaces, differentiation in multidimensional spaces and Lebesgue integration in measure spaces. |
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MATH 490: Topics in Mathematics 3 (9) Semester Credit Hours . 0-3-3 (9) Various topics in the field of Mathematics. May be repeated for credit. (G) |
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MATH 491: Undergraduate Research in Mathematics Or Statistics 1-3 (6) Semester Credit Hours . 0-0-1 to 3(6) Prerequisite Permission of Instructor Directed research. Topics and course policies to be established by instructor for each student. |
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MATH 491A: Undergrad Res in Math Or Stat 1 (6) Semester Credit Hours . 0-0-1(6) Prerequisite Permission of Instructor Directed research. Topics and course policies to be established by instructor for each student. |
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MATH 491B: Undergrad Res in Math Or Stat 2 (6) Semester Credit Hours . 0-0-2(6) Prerequisite Permission of Instructor Directed research. Topics and course policies to be established by instructor for each student. |
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MATH 491C: Undergrad Res in Math Or Stat 3 (6) Semester Credit Hours . 0-0-3(6) Prerequisite Permission of Instructor Directed research. Topics and course policies to be established by instructor for each student. |
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MATH 495: Senior Research Capstone I 1 Semester Credit Hours . 3-0-1 Prerequisite MATH 394 , and Consent of Instructor Continuation of introduction to research methods, data modeling, scientific literature search, identification and initiation of research topics, scientific ethics, presentations, and journal publications.
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MATH 496: Senior Research Capstone II 1 Semester Credit Hours . 3-0-1 Prerequisite MATH 495 A continuation of MATH 495 with emphasis on research projects. |
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MATH 497: Senior Research Capstone III 1 Semester Credit Hours . 3-0-1 Prerequisite MATH 496 A continuation of MATH 496 with emphasis on writing and presenting research projects. |
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MATH 505: Linear Algebra 3 Semester Credit Hours . 0-3-3 Prerequisite MATH 308 Study of linear systems, matrices, decomposition theorems, determinants, vector spaces and subspaces, linear transformations and representations by matrices. |
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MATH 507: Partial Differential Equations 3 Semester Credit Hours . 0-3-3 Prerequisite MATH 407 Continuation of MATH 407 . Existence, uniqueness, and representation of solutions, problems in higher dimensions, Green’s formulas, multiple Fourier series, Fourier transforms, boundary value problems in infinite domains. |
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MATH 510: Functional Analysis 3 Semester Credit Hours . 0-3-3 Prerequisite MATH 470 or MATH 483 or MATH 583 . Linear spaces, normed spaces, metric spaces, Banach spaces, Hilbert spaces. |
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MATH 515: Numerical Analysis 3 Semester Credit Hours . 0-3-3 Prerequisite Consent of Instructor Numerical analysis of problems in linear algebra, norms for vectors and matrices, convergence properties of sequences and series of vectors and matrices, convergence of iterative techniques for linear systems. Numerical differentiation and integration. Numerical solutions of differential equations. |
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MATH 517: Advanced Numerical Analysis 3 Semester Credit Hours . 0-3-3 Prerequisite MATH 515 or consent of instructor. Curve fitting techniques. Function approximation techniques. Approximating eigen values. Numerical solutions of nonlinear systems of equations. Numerical solution of differential equations and systems of differential equations and boundary value problems. |
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MATH 520: Advanced Mathematical Methods for Engineering and Physics 3 Semester Credit Hours . 0-3-3 Prerequisite Graduate Students Only An advanced treatment of the approaches used to formulate solutions to physical problems, such as boundary value problems, variational methods and approcimate solutions. Credit will not be given for MATH 520 if credit is given for PHYS 510 . |
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MATH 525: Nonlinear Dynamics and Chaos 3 Semester Credit Hours . 0-3-3 Prerequisite Graduate Students Only Mathematical and computational description of nonlinear systems in terms of phase space variables, bifurcations, phase portraits, limit cycles, chaotic systems, Lyapunov stability. Credit will not be given for MATH 525 if credit is given for PHYS 545 . |
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MATH 535: Graph Theory 3 Semester Credit Hours . 0-3-3 Prerequisite 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. |
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MATH 551: MS Thesis in Mathematics . 0-0-3 or 6(6) Prerequisite 12 semester hours of graduate work. Registration in any quarter is for 3 semester hours credit or multiples thereof. Maximum credit applicable towards the degree is 6 semester hours. |
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MATH 551C: MS Thesis in Mathematics . 0-0-3(6) Prerequisite 12 semester hours of graduate work. Registration in any quarter is for 3 semester hours credit or multiples thereof. Maximum credit applicable towards the degree is 6 semester hours. |
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MATH 551F: MS Thesis in Mathematics . 0-0-6(6) Prerequisite 12 semester hours of graduate work. Registration in any quarter is for 3 semester hours credit or multiples thereof. Maximum credit applicable towards the degree is 6 semester hours. |
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MATH 555: Practicum 3 Semester Credit Hours . (0-3-3) Prerequisite 12 semester hours of graduate work. Solution of a problem in mathematics; appropriate literature survey; development of mathematical research techniques. (Pass/Fail). |
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MATH 574: Numerical Solution for Pde I 3 Semester Credit Hours . 0-3-3 Prerequisite MATH 407 , MATH 414 Finite element method, weak form problems. Linear element, triangular element, and rectangular element methods for elliptic and parabolic PDEs. |
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MATH 575: Numerical Solution for Pde II 3 Semester Credit Hours . 0-3-3 Prerequisite MATH 407 , MATH 414 , MATH 574 Finite difference schemes and their accuracy, stability, and convergence. Schemes for parabolic, hyperbolic and elliptic PDEs. |
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MATH 583: Introductory Analysis 3 Semester Credit Hours . 0-3-3 Prerequisite MATH 482 Functions in abstract spaces, limits and continuity in metric spaces, differentiation in multidimensional spaces and Lebesgue integration in measure spaces. |
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MATH 584: Topics in Algebra 3 (15) Semester Credit Hours . 0-3-3 (15) May be repeated for 3 hours credit each time. |
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MATH 585: Topics in Discrete Mathematics 3 (15) Semester Credit Hours . 0-3-3(15) Topics depend on faculty’s area of expertise but can include matroid theory, fixed point theory in ordered sets, order and graph reconstruction, or splitter theorems for graphs. |
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MATH 586: Topics in Analysis 3 (15) Semester Credit Hours . 0-3-3 (15) May be repeated for 3 hours credit each time. |
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MATH 587: Topics in Applied Mathematics 3 (15) Semester Credit Hours . 0-3-3 (15) May be repeated for 3 hours credit each time. |
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MATH 588: Topics in Topology 3 (15) Semester Credit Hours . 0-3-3 (15) May be repeated for 3 hours credit each time. |
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MATH 599A: Graduate Training Seminar . 0-1-1(15) |
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MATH 599B: Graduate Training Seminar . 0-2-2(15) |
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MATH 599C: Graduate Training Seminar . 0-3-3(15) |
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MATH 599D: Graduate Training Seminar . 0-4-4(15) |
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MATH 655: Mathematical Modeling 3 Semester Credit Hours . 0-3-3 Prerequisite MATH 350, STAT 620 , or Consent of Instructor Building deterministic and probabilistic models; applications from physical and life sciences. Transient and stationary models, stability, and optimal solutions. Model validation: acceptance, improvement, or rejection. |
Mechanical Engineering |
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MEEN 215: Engineering Materials Laboratory 1 Semester Credit Hours . 3-0-1 Prerequisite Credit or registration in MEMT 201 . Corequisite Credit of registration in MEMT 201 . A laboratory couse studying the experimental behavior of engineering materials. Labs will include hardness testing, impact testing, tensile testing and heat treating of materials. |
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MEEN 292: Mechanical Engineering Computer Applications 3 Semester Credit Hours . 0-3-3 Corequisite MATH 245 . Application of modern computer programming principles to mechanical engineering problems. Numerical solutions of linear and nonlinear algebraic equations, numerical quadrature problems, and ordinary differential equations. |
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MEEN 321: Manufacturing Processes 2 Semester Credit Hours . 3-1-2 Prerequisite MEMT 201 A study of the processes used in manufacturing machine parts. Designing for manufacturability. Laboratory is operational practice and demonstrations of machine tools, foundry, and welding. |
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MEEN 332: Thermodynamics II 3 Semester Credit Hours . 0-3-3 Prerequisite ENGR 222 , and cumulative GPA of at least 2.0 on MATH 241 through MATH 244 . Continuation of ENGR 222 Cycle analysis and design, study of gas mixtures, thermodynamic property relations, chemical reactions, combustion, and thermodynamics of fluid flow. |
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MEEN 334: Thermodynamics II 2 Semester Credit Hours . 0-2-2 Prerequisite ENGR 222 and cumulative GPA at least 2.0 on MATH 241 through MATH 244 . Study of gas mixtures, thermodynamic property relations, chemical reactions, combustion, and thermodynamics of fluid flow. |
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MEEN 350: Computer-Aided Modeling 1 Semester Credit Hours . 3-0-1 Prerequisite ENGR 220 , a GPA of at least 2.0 on MATH 241 through MATH 244 and cumulative GPA of at least 2.7 on all coursework. Construction of Virtual system models using constructive solid geometry, swept volumes, and trimmed parametric surfaces with engineering applications. |
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MEEN 351: Computer-Aided Modeling 2 Semester Credit Hours . 3-1-2 Prerequisite Cumulative GPA at least 2.0 in MATH 241 through MATH 244 . Construction of Virtual systems models using constructive solid geometry, swept volumes and trimmed parametric surfaces with engineering applications. |
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MEEN 353: Heat Transfer 3 Semester Credit Hours . 0-3-3 Prerequisite MATH 245 AND MEEN 350 AND ENGR 222 Corequisite MATH 313 Fundamental concepts of heat transfer including conduction, convection, and radiation. Introduction to thermal systems design. |
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MEEN 361: Advanced Mechanics of Materials 3 Semester Credit Hours . 0-3-3 Prerequisite MEMT 211 or MEMT 212 and MEEN 350 Theories of stress and strain, failure criteria, energy methods, design for static strength, design for fatigue strength. |
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MEEN 363: Dynamics of Machine Elements 3 Semester Credit Hours . 0-3-3 Prerequisite MEEN 350 AND MEMT 203 . Kinematics and kinetics of machine elements such as linkages, cams, and gear trains. |
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MEEN 371: Dynamic Systems 3 Semester Credit Hours . 3-2-3 Prerequisite ENGR 221 , MATH 245 , MATH 313 , MEMT 203 , and MEEN 350 . Corequisite ENGR 222 Modeling and design of dynamic mechanical and fluid systems. Introduction to linear Vibrations and automatic controls. Numerical and Laplace transform solutions to ordinary differential equations. |
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MEEN 382: Basic Measurements 2 Semester Credit Hours . 3-1-2 Prerequisite ENGR 221 and cumulative GPA at least 2.0 in MATH 241 through MATH 244 . Techniques and instruments for making and analyzing measurements in engineering. |
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MEEN 400: Mechanical Engineering Seminar 1 Semester Credit Hours . 3-0-1 Prerequisite Credit or registration in MEEN 480 . Corequisite Credit or registration in MEEN 480 . Professionalism, ethics, and service for mechanical engineers. |
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MEEN 413: Composite Materials Design 3 Semester Credit Hours . 0-3-3 Prerequisite MEEN 361 An introduction to modern composite materials. Application of lamination theory to analysis of composites. Deformation and failure of composites. Structural design using composite materials. (G) |
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MEEN 414: Failure Anaysis 3 Semester Credit Hours . 0-3-3 Prerequisite MEEN 361 An introduction to failure analysis. Using analysis of failed parts to determine the cause of failure. Using failure analysis techniques to design to avoid failure. |
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MEEN 426: Geometric Dimensioning & Tolerancing 1 Semester Credit Hours . 0-1-1 Prerequisite MEEN 350 Datums, Tolerance Zones, Actual Mating Envelopes, and Material Condition Modifiers. Reading and Specifying ASME GD&T Feature Control Frames and Symbols, Implementing GD&T in CAD. |
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MEEN 431: Energy Conversion Systems 3 Semester Credit Hours . 0-3-3 Prerequisite MEEN 332 Analysis and design of energy conversion systems. Emphasis on steam turbine and gas turbine electrical power plants. Introduction to emerging energy conversion technologies. |
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MEEN 432: Additive Fabrication Methods 3 Semester Credit Hours . 0-3-3 Prerequisite MEEN 350 and Access to 3D printer is required. Introduction to additive fabrication (FDM/FFF and resin). How to create, slice, print, and troubleshoot 3D prints. Access to 3D printer is required.
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MEEN 434: Cryogenic Systems 3 Semester Credit Hours . 0-3-3 Prerequisite MEEN 332 Analysis and design of systems which produce, maintain, or utilize low temperatures; liquefaction systems; refrigeration systems; separation and purification systems; storage systems. (G) |
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MEEN 435: Internal Combustion Engines 3 Semester Credit Hours . 0-3-3 Prerequisite MEEN 332 and MEEN 353 Theory of IC engines. Fuels, combustion, and thermodynamics. Carburetion, fuel injection, and lubrication. Mechanical design of a typical engine. |
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MEEN 436: Air Conditioning and Refrigeration 3 Semester Credit Hours . 0-3-3 Prerequisite MEEN 332 , MEEN 353 , and MEMT 313 Analysis and design of heating, ventilating, and air conditioning systems for residential, commercial, and industrial applications. |
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MEEN 446: Advanced Fluids Mechanics 3 Semester Credit Hours . 3-2-3 Prerequisite MEMT 313 and MATH 245 Principles of Viscous fluid flow including dimensional analysis and similarity, duct flows, boundary layer flow, turbomachinery, flow measurement and control, and design of fluid systems. (G) |
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MEEN 448: Gas Dynamics 3 Semester Credit Hours . 0-3-3 Prerequisite MEEN 332 and MATH 245 Study of the fundamental laws applied to compressible fluid flow. Isentropic flow, normal and oblique shocks, Prandtl-Meyer, Fanno, Rayleigh flow, and supersonic design. (G) |
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MEEN 449: Introduction To Computational Fluid Dynamics 3 Semester Credit Hours . 0-3-3 Prerequisite MATH 313 AND MEMT 313 The fundamentals of computational fluid dynamics (CFD); review of numerical methods and fluid mechanics; application of numerical techniques for solution of sample fluid dynamics problems. |
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MEEN 450: Special Problems 1-4 Semester Credit Hours . 0-0-1 to 4(4) Prerequisite Senior Standing and Consent of Instructor. Topics selected will vary from term to term for the purpose of covering selected topics of current importance or special interest. |
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MEEN 450A: Special Problems 1 Semester Credit Hours . 0-0-1(4) Prerequisite Senior Standing and Consent of Instructor. Topics selected will vary from term to term for the purpose of covering selected topics of current importance or special interest. |
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MEEN 450B: Special Problems 2 Semester Credit Hours . 0-0-2(4) Prerequisite Senior Standing and Consent of Instructor. Topics selected will vary from term to term for the purpose of covering selected topics of current importance or special interest. |
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MEEN 450C: Special Problems 3 Semester Credit Hours . 0-0-3(6) Prerequisite Senior Standing and Consent of Instructor. Topics selected will vary from term to term for the purpose of covering selected topics of current importance or special interest. |
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MEEN 450D: Special Problems 4 Semester Credit Hours . 0-0-4 Prerequisite Senior Standing and Consent of Instructor. Topics selected will vary from term to term for the purpose of covering selected topics of current importance or special interest. |
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MEEN 450E: Special Problems . 0-0-5 Prerequisite Senior Standing and Consent of Instructor. Topics selected will vary from term to term for the purpose of covering selected topics of current importance or special interest. |
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MEEN 450F: Special Problems . 0-0-6 Prerequisite Senior Standing and Consent of Instructor. Topics selected will vary from term to term for the purpose of covering selected topics of current importance or special interest. |
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MEEN 450G: Special Problems . 0-0-7 Prerequisite Senior Standing and Consent of Instructor. Topics selected will vary from term to term for the purpose of covering selected topics of current importance or special interest. |
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MEEN 450H: Special Problems . 0-0-8 Prerequisite Senior Standing and Consent of Instructor. Topics selected will vary from term to term for the purpose of covering selected topics of current importance or special interest. |
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MEEN 451: Thermal Design 3 Semester Credit Hours . 3-2-3 Prerequisite MEEN 353 and MEMT 313 Design of thermal components and systems. |
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MEEN 462: Machine Element Design 3 Semester Credit Hours . 0-3-3 Prerequisite MEEN 361 Application of strength of materials to the design of typical machine elements. |
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MEEN 465: Machine Element Design 2 Semester Credit Hours . 0-2-2 Prerequisite MEEN 361 Application of principles of strength of materials to the design of typical machine elements. |
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MEEN 469: Prevention of Mechanical Failure 3 Semester Credit Hours . 0-3-3 Prerequisite MEEN 361 Analysis, prediction and prevention of failures in a structure or machine part during the design phase. (G) |
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MEEN 475: Mechatronics 3 Semester Credit Hours . 4-2-3 Prerequisite MEEN 371 A study of the interface between controllers and physical systems; principles of electromechanical design, digital and analog, circuitry, actuation, sensing, embedded control, and real-time programming. |
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MEEN 476: Feedback Control Systems 3 Semester Credit Hours . 3-2-3 Prerequisite MEEN 371 The analysis, design and synthesis of mechanical systems employing feedback control. methods of determining system stability. Typical mechanical control elements and their transfer functions. |
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