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College of Agriculture and Life Sciences

http://catalog.ncsu.edu/undergraduate/collegeofals/

...or H, such as ENG 101 H, MA 341 S, etc.) Category 2: Advanced Courses...

BAE 502 Instrumentation for Hydrologic Applications 3. Prerequisite: MA 341, BAE 401 or ECE 331, ST 370 or ST 511.

Basic theory of instruments and measurements. Physical parameters of interest, available methods and sensors for assessment. Sensor characteristics. Dataloggers and sensor-datalogger communications. Data transfer, management, and processing. Emphasis on hydrologic and water quality research applications. Course offered by Distance Education only.

CHE 435 Process Systems Analysis and Control 3. Prerequisite: (MA 341 and TE 205) or CHE 312.

Dynamic analysis and continuous control of chemical and material engineering processes. Process modeling; stability analysis, design and selection of control schemes. Solution of differential equations using Laplace transform techniques.

TE 435 Process Systems Analysis and Control 3. Prerequisite: (MA 341 and TE 205) or CHE 312.

Dynamic analysis and continuous control of chemical and material engineering processes. Process modeling; stability analysis, design and selection of control schemes. Solution of differential equations using Laplace transform techniques.

CHE 311 Transport Processes I 3. Prerequisite: Grade of C- or better in both CHE 225 and MA 341.

Fundamental aspects of momentum and heat transfer, and the use of these fundamentals in solving problems in transport operations.

CE 714 Stress Waves 3. Prerequisite: MA 341; CE 313 or PY 411 or MA 401.

Theory of stress waves in solids. Origins and nature of longitudinal transverse and surface waves originating at an impact site or from other transient disturbances. Determination of stresses, particle velocities, wave velocities. Wave interaction with other waves and with boundaries and dissimilar materials. Modern instrumentation and seismic refraction exploration.

MAE 535 Design of Electromechanical Systems 3. Prerequisite: MA 341.

A practical introduction to electromechanical systems with emphasis on modeling, analysis, design, and control techniques. Provides theory and practical tools for the design of electric machines (standard motors, linear actuators, magnetic bearings, etc). Involves some self-directed laboratory work and culuminates in an industrial design project. Topics include Maxwell's equations, electromechanical energy conversion, finite element analysis, design and control techniques.

ECE 535 Design of Electromechanical Systems 3. Prerequisite: MA 341.

A practical introduction to electromechanical systems with emphasis on modeling, analysis, design, and control techniques. Provides theory and practical tools for the design of electric machines (standard motors, linear actuators, magnetic bearings, etc). Involves some self-directed laboratory work and culuminates in an industrial design project. Topics include Maxwell's equations, electromechanical energy conversion, finite element analysis, design and control techniques.

ISE 361 Deterministic Models in Industrial Engineering 3. Prerequisite: (MA 303 or MA 341 or MA 405 )and C or better in ISE 110.

Introduction to mathematical modeling, analysis techniques, and solution procedures applicable to decision-making problems in a deterministic environment. Linear programming models and algorithms and associated computer codes are emphasized.

MAE 521 Linear Control and Design For Mimo Systems 3. Prerequisite: MAE 435, MA 341.

Linear Multivariable control and design for multibody engineering systems (robotics) and aircraft controls and navigation. Emphasis on multi-input and multi-output (MIMO) system analysis and design using frequency-based approach. Controllability andobservability, transmission zeroes and pole-zero cancellation, eigenstructures, singular value decomposition in frequency domain, stability and performance robustness of MIMO systems.

NE 531 Nuclear Waste Management 3. Prerequisite: MA 341.

Scientific and engineering aspects of nuclear waste management. Management of spent fuel, high-level waste, uranium mill tailings, low-level waster and decommissioning wastes. Fundamental proesses and governing equations for the evaluation of waste management systems with emphais on the safey assessment of waste disposal facilities. Regulations and policy issues.

NE 520 Radiation and Reactor Fundamentals 3. Prerequisite: MA 341 and PY 208.

Basics of nuclear physics and reactor physics that are needed for graduate studies in nuclear engineering. Concepts covered include, atomic and nuclear models, nuclear reactions, nuclear fission, radioactive decay, neutron interactions, nuclear reactors, neutron diffusion in non-multiplying and multiplying systems, and basic nuclear reactor kinetics.

TE 205 Analog and Digital Circuits 4. Prerequisite: C- or better in TE 110, PY 208, Corequisite: MA 341.

Fundamentals of analog and digital circuit analysis and design. The course will present the systematic analysis and design of AC and DC circuits using Ohms and Kirchhoff's laws, the node voltage method, Thevenin and Norton's theorem, Laplace Transforms, resistance, capacitance, inductance, operational amplifiers, and frequency response. Next, the design of combinatorial and synchronous sequential circuit design will be covered using Karnaugh maps, laws of Boolean algebra, flip-flops, state machines, and latches. Laboratory exercises will supplement the topics presented in class.

TC 704 Fiber Formation--Theory and Practice 3. Prerequisite: MA 341, PY 208.

Practical and theoretical analysis of the chemical and physical principles underlying conventional methods of converting bulk polymer to fiber; rheology; melt, dry and wet polymer extrusion; fiber drawing; heat setting; general theory applied to unit processes.

TE 565 Textile Composites 3. Prerequisite: MA 341, MAE 206.

Fiber architecture of textiles used for composites. Manufacturing processes and geometric quantification. Basic analysis for predicting elastic properties. Interrelationship of elastic properties and geometric quantities. Failure criteria for these materials.

TMS 565 Textile Composites 3. Prerequisite: MA 341, MAE 206.

Fiber architecture of textiles used for composites. Manufacturing processes and geometric quantification. Basic analysis for predicting elastic properties. Interrelationship of elastic properties and geometric quantities. Failure criteria for these materials.

CE 536 Introduction to Numerical Methods for Civil Engineers 3. Prerequisite: MA 302, MA 341, or MA 401.

Introduction to widely-used numerical methods through application to civil and environmental engineering problems. Emphasis will be on implementation and application rather than the mathematical theory behind the numerical methods.

CHE 225 Introduction to Chemical Engineering Analysis 3. Prerequisite: C- or better in CHE 205 and MA 242; Corequisite: MA 341.

Introduction of mathematical and computational tools for analyzing chemical engineering problems. Sequential modular and equation-based simulation of steady-state chemical processes using advanced spreadsheet methods and multivariate root-finding algorithms. Material and energy balances on transient processes and their solution using analytical and numerical methods. Introduction to microscopic material and energy balances using the "shell balance" approach to develop the governing differential equations. Solutions to steady-state boundary value problems in heat conduction and Fickian diffusion.

MAE 310 Heat Transfer Fundamentals 3. Prerequisite: (MA 341 or MA 301), C- or better in MAE 301. Corequisite: MAE 308.

Analysis of steady state and transient one and multidimensional heat conduction employing both analytical methods and numerical techniques. Integration of principles and concepts of thermodynamics and fluid mechanics to the development of practicalconvective heat transfer relations relevant to mechanical engineers. Heat transfer by the mechanism of radiation heat transfer.

MAE 511 Advanced Dynamics with Applications to Aerospace Systems 3. Prerequisite: (MAE 208 or PY 205) and MA 242 and (MA 301 or MA 341).

Basic topics in advanced dynamics and with applications to aerospace systems. Rotating coordinate systems, Euler angles, three-dimensional kinematics and kinetics, angular momentum methods and an introduction to analytical mechanics. Examples are concentrated in the area of aerospace vehicles, but the methods learned will be applicable to land-based vehicles and any engineering system undergoing rigid body rotation, e.g. wind turbines, biomechanical systems, machine tools, robotic systems, etc.

MSE 360 Kinetic Processes in Materials 3. Prerequisite: MA 341 and MSE 301.

Types, mechanisms, and kinetics of solid state phase transformations are covered with selected applications to all classes of materials. Mechanisms of diffusion and techniques for diffusion calculations are presented. The role of surface energy and strain in the evolution of structure during transformation is presented. Phenomena at different size scales (atomic, nano, micro) are described relative to the evolution of structure during transformation.

BME 311 Linear Systems in Biomedical Engineering 3. Prerequisite: BME 201 and (ECE 331 or BME 210). Corequisite: BME 301 and MA 341. For BME Majors only..

Fundamentals of linear systems analysis as applied to problems in biomedical modeling and instrumentation. Properties of biomedical systems and signals. Representation of continuous- and discrete-time signals and system response. Convolution. Fourier analysis in continuous and discrete domains. Laplace transform. Frequency response and its application in biomedical systems. Filter design. Circuit analogs to mechanical and thermodynamics systems and their applications in modeling biomedical systems. Applications in biomedical instrumentation. Students use MATLAB to simulate and analyze biomedical linear systems. BME majors only.

MAE 308 Fluid Mechanics 3. Prerequisite: MA 242, (C- or better in MAE 208 or CE 215). Corequisite: (MA 341 or MA 301) and (MAE 301 or MSE 301).

Development of the basic equations of fluid mechanics in general and specialized form. Application to a variety of topics including fluid statics; inviscid, incompressible fluid flow; design of Fluid dynamic system.

BAE 561 Agricultural Air Quality 3. Prerequisite: MA 341.

This course will prepare students to identify agricultural air pollutants and their sources, understand the on-farm and off-farm impacts of these pollutants, measure these pollutants, characterize and model the fate of these pollutants, and select and/or design cost-effective remediation measures. This course is restricted to seniors in engineering and MEAS, and graduate students in CALS, PAMS, and CNR.

BAE 361 Analytical Methods in Engineering Design 3. Prerequisite: BAE 202, CE 215 or MAE 208, MA 341, Corequisite: MAE 314.

Engineering problem solving through studies of topics in engineering design. Kinematic analysis of linkages, analysis and design/selection of machine structures and power transmission components, including vibration modeling and control in lumped mass mechanical and biomechanical systems.

BAE 560 Aerosol Science and Engineering 3. Prerequisite: MA 341.

This course is designed for students who have a desire to work in the area of air quality. It will provide students with fundamental knowledge of aerosol properties, behavior and physical principles, and with hands-on experience in applying this knowledge to aerosol/PM measurements and control.

CHE 711 Chemical Engineering Process Modeling 3. Prerequisite: (CHE 312, MA 301 or MA 341) or equivalent.

Applications of methods of mathematical analysis to formulation and solution of problems in transport phenomena, process dynamics and chemical reaction engineering.

BAE 302 Transport Phenomena 3. Prerequisite: (BAE 200, CSC 112, CSC 114 or CSC 116), (CE 215 or MAE 208), MA 341 and MAE 301; Corequisite: CE 382 or MAE 308.

Theory and application of heat and mass transfer in biological, food, and agricultural systems. Topics include fluid flow, conduction, convection, radiation, psychrometrics, and refrigeration.

ECG 766 Computational Methods in Economics and Finance 3. Prerequisite: (MA 305 or MA 405) and MA 341 and EC 301 and EC 302 and (CSC 112 or 114) or equivalents..

Fundamental methods for forumlating and solving economic models numerically will be developed. Emphasis on defining the mathematical structure of problems and practical computer methods for obtaining model solutions. Major topics include solution of systems of equations, complementarity relationships and optimization. Finite and infinite dimensional problems will be addressed, the latter through the use of finite dimensional approximation techniques. Particular emphasis placed on solving dynamic asset pricing, optimization and equilibrium problems. MS in Financial Mathematics Program required.

MAE 315 Dynamics of Machines 3. Prerequisite: MA 341, C- or better in MAE 208 or CE 215.

Application of dynamics to the analysis and design of machine and mechanical components. Motions resulting from applied loads, and the forces required to produce specified motions. Introduction to mechanical vibration, free and forced response of discrete and continuous systems.

MA 341 Applied Differential Equations I 3. Prerequisite: MA 242 or (MA 132 and MA 231).

Differential equations and systems of differential equations. Methods for solving ordinary differential equations including Laplace transforms, phase plane analysis, and numerical methods. Matrix techniques for systems of linear ordinary differential equations. Credit is not allowed for both MA 301 and MA 341.

MA 401 Applied Differential Equations II 3. Prerequisite: MA 341; Credit not allowed for both MA 401 and MA 501.

Wave, heat and Laplace equations. Solutions by separation of variables and expansion in Fourier Series or other appropriate orthogonal sets. Sturm-Liouville problems. Introduction to methods for solving some classical partial differential equations.Use of power series as a tool in solving ordinary differential equations. Credit for both MA 401 and MA 501 will not be given.

MA 405 Introduction to Linear Algebra 3. Prerequisite: MA 241 (MA 225 recommended); Corequisite: MA 341 is recommended.

This course offiers a rigorous treatment of linear algebra, including systems of linear equations, matrices, determinants, abstract vector spaces, bases, linear independence, spanning sets, linear transformations, eigenvalues and eigenvectors, similarity, inner product spaces, orthogonality and orthogonal bases, factorization of matrices. Compared with MA 305 Introductory Linear Algebra, more emphasis is placed on theory and proofs. MA 225 is recommended as a prerequisite. Credit is not allowed for both MA 305 and MA 405.

MA 430 Mathematical Models in the Physical Sciences 3. Prerequisite: MA 341 and MA 405.

Application of mathematical techniques to topics in the physical sciences. Problems from such areas as conservative and dissipative dynamics, calculus of variations, control theory, and crystallography.

MA 432 Mathematical Models in Life and Social Sciences 3. Prerequisite: MA 341, (MA 305 or MA 405), and programming proficiency; Corequisite: (MA 421 or ST 371).

Topics from differential and difference equations, probability, and matrix algebra applied to formulation and analysis of mathematical models in biological and social science (e.g., population growth).

MA 502 Advanced Mathematics for Engineers and Scientists II 3. Prerequisite: MA 341..

Determinants and matrices; line and surface integrals, integral theorems; complex integrals and residues; distribution functions of probability. Not for credit by mathematics majors. Any student receiving credit for MA 502 may receive credit for, atmost, one of the following: MA 405, MA 512, MA 513.

MA 511 Advanced Calculus I 3. Prerequisite: MA 341.

Fundamental theorems on continuous functions; convergence theory of sequences, series and integrals; the Riemann integral. Credit for both MA 425 and MA 511 is not allowed.

MA 512 Advanced Calculus II 3. Prerequisite: MA 341.

General theorems of partial differentiation; implicit function theorems; vector calculus in 3-space; line and surface integrals; classical integral theorems. Credit will not be given for both MA 426 and MA 512.

MA 532 Ordinary Differential Equations I 3. Prerequisite: MA 341, 405, 425 or 511, Corequisite: MA 426 or 512.

Existence and uniqueness theorems, systems of linear equations, fundamental matrices, matrix exponential, nonlinear systems, plane autonomous systems, stability theory.

MA 534 Introduction To Partial Differential Equations 3. Prerequisite: MA 425 or MA 511, MA 341, Corequisite: MA 426 or 512.

Linear first order equations, method of characteristics. Classification of second order equations. Solution techniques for the heat equation, wave equation and Laplace's equation. Maximum principles. Green's functions and fundamental solutions.

MA 537 Nonlinear Dynamics and Chaos 3. Prerequisite: MA 341 and MA 405.

Usage of computer experiments for demonstration of nonlinear dynamics and chaos and motivation of mathematical definitions and concepts. Examples from finance and ecology as well as traditional science and engineering. Difference equations and iteration of functions as nonlinear dynamical systems. Fixed points, periodic points and general orbits. Bifurcations and transition to chaos. Symbolic dynamics, chaos, Sarkovskii's Theorem, Schwarzian derivative, Newton's method and fractals.

MEA 735 Fourier Analysis of Geophysical Data 3. Prerequisite: MA 341 and ST 511.

Application of Fourier analysis to interpretation of low-frequency motions in ocean and atmosphere. Review of Fourier method. Filtering of tidal signals. Spectral estimates and calculation of current ellipses. Identification of coherent motions and their empirical orthogonal modes. Data from field experiments used in lectures and homework assignments.

MSE 355 Electrical, Magnetic and Optical Properties of Materials 3. Prerequisite: PY 208 and MA 341.

Fundamental treatment of the electronic properties of materials, including the electrical, magnetic and optical characteristics. The role of electrons, band structure, and Bruillouin zones on the various classes of materials is discussed from the semiclassical and quantum mechanical viewpoints. Applications of these principles to specific technological devices is also covered.

BMA 573 Mathematical Modeling of Physical and Biological Processes I 3. Prerequisite: MA 341 and knowledge of high-level programming language..

Introduction to model development for physical and biological applications. Mathematical and statistical aspects of parameter estimation. Compartmental analysis and conservation laws, heat transfer, and population and disease models. Analytic and numerical solution techniques and experimental validation of models. Knowledge of high-level programming languages required.

MA 573 Mathematical Modeling of Physical and Biological Processes I 3. Prerequisite: MA 341 and knowledge of high-level programming language..

Introduction to model development for physical and biological applications. Mathematical and statistical aspects of parameter estimation. Compartmental analysis and conservation laws, heat transfer, and population and disease models. Analytic and numerical solution techniques and experimental validation of models. Knowledge of high-level programming languages required.

MA 427 Introduction to Numerical Analysis I 3. Prerequisite: MA 341 or 301 and programming language efficiency.

Theory and practice of computational procedures including approximation of functions by interpolating polynomials, numerical differentiation and integration, and solution of ordinary differential equations including both initial value and boundary value problems. Computer applications and techniques.

E 531 Dynamic Systems and Multivariable Control I 3. Prerequisite: MA 341, MA 405.

Introduction to modeling, analysis and control of linear discrete-time and continuous-time dynamical systems. State space representations and transfer methods. Controllability and observability. Realization. Applications to biological, chemical, economic, electrical, mechanical and sociological systems.

OR 531 Dynamic Systems and Multivariable Control I 3. Prerequisite: MA 341, MA 405.

Introduction to modeling, analysis and control of linear discrete-time and continuous-time dynamical systems. State space representations and transfer methods. Controllability and observability. Realization. Applications to biological, chemical, economic, electrical, mechanical and sociological systems.

MA 531 Dynamic Systems and Multivariable Control I 3. Prerequisite: MA 341, MA 405.

Introduction to modeling, analysis and control of linear discrete-time and continuous-time dynamical systems. State space representations and transfer methods. Controllability and observability. Realization. Applications to biological, chemical, economic, electrical, mechanical and sociological systems.

CE 382 Hydraulics 3. Prerequisite: CE 214; Corequisite: MA 341 or MAE 305 or ST 370.

Fluid properties; mass, energy and momentum conservation laws; dimensional analysis and modeling; laminar and turbulent flows; surface and form resistance; flow in pipes and open channels; elementary hydrodynamics; fluid measurements; characteristics of hydraulic machines. Credit will not be given for both CE 382 and MAE 308.

MA 540 Uncertainty Quantification for Physical and Biological Models 3. Prerequisite: MA 341 and basic knowledge of probability, linear algebra, and scientific computation.

Introduction to uncertainty quantification for physical and biological models. Parameter selection techniques, Bayesian model calibration, propagation of uncertainties, surrogate model construction, local and global sensitivity analysis.

MA 451 Methods of Applied Mathematics II 3. Prerequisite: MA 341.

The mathematical methods of this course give insight into physical continuum processes such as fluid flow and the deformation of solid elastic materials. Techniques include the modeling and formulation of equations of motion, the use of Lagrangian and Eulerian variables; further topics are: examples of incompressible fluid flow, calculus of variations and applications to optimal control problems.This course is independent of MA 450 Methods of Applied Mathematics I.

CE 537 Computer Methods and Applications 3. Prerequisite: CSC 112 and (MA 341 or MA 305).

Computational approaches to support civil planning, analysis, evaluation and design. Applications to various areas of civil engineering, including construction, structures, transportation and water resources.

OR 537 Computer Methods and Applications 3. Prerequisite: CSC 112 and (MA 341 or MA 305).

Computational approaches to support civil planning, analysis, evaluation and design. Applications to various areas of civil engineering, including construction, structures, transportation and water resources.

CH 431 Physical Chemistry I 3. Prerequisite: (CH 201 or CH 203) and MA 242 and (PY 203 or 208); Corequisite: MA 341.

Development of the basic concepts of quantum mechanics and wavefunctions as applied to atomic structure, to the translational, rotational and vibrational motion in molecules, and to molecular spectroscopy. Development of partition functions as applied to thermodynamic properties of materials. Cannot get credit for both CH 431 and CH 437.

CH 437 Physical Chemistry for Engineers 4. Prerequisite: PY 208 and CHE 315 and MA 341.

Selected physiochemical principles including quantum theory, spectroscopy, statistical thermodynamics, and rates of chemical reactions. Credit may not be claimed for both CH 431 and CH 437.

NE 301 Fundamentals of Nuclear Engineering 3. Prerequisite: MA 341 and (CSC 112 or CSC 113) and C- or better in NE 202.

Introductory course in nuclear engineering. Neutron physics, reactor operation, and reactor dynamics. Basic principles underlying the design and operation of nuclear systems, facilities and applications.

CE 390 Engineering Economics 1. Prerequisite: CSC 111 and (MA 341 or MA 305).

Fundamental principles of engineering economics and their application to civil engineering planning and evaluation. Time value of money, interest and equivalence, and methods for assessing the feasibility and relative economic value of alternatives.

PY 414 Electromagnetism I 3. Prerequisite: C- or better in PY 203 or C- or better in PY 407, and MA 341.

First semester of a two-semester sequence. An intermediate course in electromagnetic theory using the methods of vector calculus. Electrostatic field and potential, dielectrics, solution to Laplace's and Poisson's equations, magnetic fields of steady currents.

PY 514 Electromagnetism I 3. Prerequisite: PY 203 or PY 208, MA 341.

First semester of a two-semester sequence. An intermediate course in electromagnetic theory using the methods of vector calculus. Electrostatic field and potential, dielectrics, solution to Laplace's and Poisson's equations, magnetic fields of steady currents.

CHE 475 Advances in Pollution Prevention: Environmental Management for the Future 3. Prerequisite: PY 208, MA 341.

Design of industrial processes which minimize or eliminate wastes. Regulations and the corporate organization of current pollution prevention efforts. Current pollution prevention research. Product life cycle analysis and the application to design of more efficient processes.

CHE 575 Advances in Pollution Prevention: Environmental Management for the Future 3. Prerequisite: PY 208, MA 341.

Design of industrial processes which minimize or eliminate wastes. Regulations and the corporate organization of current pollution prevention efforts. Current pollution prevention research. Product life cycle analysis and the application to design of more efficient processes.

PY 411 Mechanics I 3. Prerequisite: C- or better in PY 203 or C- or better in PY 407Co-requisite: MA 341.

First semester of a two-semester sequence in particle and continuum mechanics at the intermediate level. Focuses on single-particle dynamics: Elementary Newtonian mechanics, harmonic oscillator, central force motion, conservation laws, motion in non-inertial frames, Coriolis and centrifugal forces, Lagrangian dynamics, Hamilton's equations.

PY 511 Mechanics I 3. Prerequisite: C- or better in PY 203 or C- or better in PY 407, and MA 341.

First semester of a two-semester sequence in particle and continuum mechanics at the intermediate level. Focuses on single-particle dynamics: Elementary Newtonian mechanics, harmonic oscillator, central force motion, conservation laws, motion in non-inertial frames, Coriolis and centrifugal forces, Lagrangian dynamics, Hamilton's equations.

ISE 362 Stochastic Models in Industrial Engineering 3. Prerequisite: C or better in ISE/TE 110 and (MA 303 or MA 341 or MA 405) and C- or better in ST 371 or ST 370.

Introduction to mathematical modeling, analysis, and solution procedures applicable to uncertain (stochastic) production systems. Methodologies covered include probability theory and stochastic processes. Applications relate to design and analysisof problems, capacity planning, inventory control, waiting lines, and system reliability and maintainability.

MA 501 Advanced Mathematics for Engineers and Scientists I 3. Prerequisite: MA 341; credit not allowed for both MA 501 and MA 401.

Survey of mathematical methods for engineers and scientists. Ordinary differential equations and Green's functions; partial differential equations and separation of variables; special functions, Fourier series. Applications to engineering and science. Not for credit by mathematics majors. Credit for this course and MA 401 is not allowed.

MA 331 Differential Equations for the Life Sciences 3. P: MA 231 or MA 241; X: Credit cannot be given for both MA 341 and MA 331.

This course provides students with an understanding of how mathematics and life sciences can stimulate and enrich each other. The course topics include first order differential equations, separable equations, second order systems, vector and matrix systems, eigenvectors/eigenvalues, graphical and qualitative methods. The methods are motivated with examples from the biological sciences (growth models, kinetics and compartmental models, epidemic models, predator-prey, etc). Computational modeling will be carried out using SimBiology, a MATLAB toolbox based graphical user interface, which which automates and simplifies the process of modeling biological systems. Credit cannot be given for both MA 341 and MA 331.

MAE 435 Principles of Automatic Control 3. Prerequisites: (MA 301 or MA 341) and (MAE 315 or MAE 361).

Study of linear feedback control systems using transfer functions. Transient and steady state responses. Stability and dynamic analyses using time response and frequency response techniques. Compensation methods. Classical control theory techniquesfor determination and modification of the dynamic response of a system. Synthesis and design applications to typical mechanical engineering control systems. Introduction to modern control theory.

MEA 463 Fluid Physics 3. Prerequisite: MA 341 and PY 208.

A derivation of the basic equations governing fluid motion in a rotating coordinate system. Equations include conservation of mass or the continuity equation, momentum equations, thermodynamic energy equation and the vorticity equation. Application of equations to simplified oceanic flows which include surface gravity waves, inertial motion, geostrophic motion, Ekman dynamics and vorticity dynamics.

MAE 467 Introduction to Space Flight 3. Prerequisites: (MA 301 or MA 341) and (CSC 112, CSC 113, or CSC 114) and C- or better in PY 205.

Fundamental aspects of space flight including launch vehicle performance and design, spacecraft characteristics, two-body orbital mechanics, earth satellites, interplanetary trajectories, atmospheric entry, and atmospheric heating.

CE 437 Civil Engineering Computing 3. Prerequisite: CSC 111 and (MA 341 or MA 305).

Computational approaches to modeling with applications in construction, structures, transportation, water resources and other civil engineering areas; matrix computations, digital terrain modeling, network applications and algorithms, heuristic optimization.

MAE 361 Dynamics & Controls 3. Prerequisite: (MA 341 or MA 301), and C- or better in (MAE 208 or CE 215).

Dynamics and linear feedback control of aerospace and mechanical systems. Concepts from linear system theory, kinematics, particle dynamics, first- and second-order systems, system dynamics, vibrations, and computational techniques. Feedback controlby root-locus, Nyquist, Bode plots, servo-mechanisms, gain and phase margin, and compensation. Control system design emphasized.

CH 433 Physical Chemistry II 3. Prerequisite: MA 341.

A classical thermodynamic treatment of states of matter, activities and chemical potentials, energy changes, equilibria, and electrochemical processes. The kinetics of multi-step, catalytic and enzyme reactions.

MA 402 Mathematics of Scientific Computing 3. P: (MA 341 or MA 405) and programming proficiency (MATLAB, C++, Java, Fortran, or other language).

This course will provide an overview of methods to solve quantitative problems and analyze data. The tools to be introduced are mathematical in nature and have links to Algebra, Analysis, Geometry, Graph Theory, Probability and Topology. Students will acquire an appreciation of (I) the fundamental role played by mathematics in countless applications and (II) the exciting challenges in mathematical research that lie ahead in the analysis of large data and uncertainties. Students will work on a project for each unit. While this is not a programming class, the students will do some programming through their projects.

MAE 253 Experimental Aerodynamics I 1. Prerequisites: MA 301 and C- or better in MAE 251; Corequisites: MA 341 and C- or better in MAE 252.

Subsonic wind tunnel, instrumentation, data acquisition techniques, technical report preparation. Experiments involve pressure and force/moment measurements of various aerospace vehicle components with supplemental flow visualization.

MA 450 Methods of Applied Mathematics I 3. Prerequisite: MA 341.

Mathematical methods covered include dimensional analysis, asymptotics, continuum modeling and traffic flow analysis. These topics are discussed in the context of applications and real data.This course is independent of MA 451 Methods of Applied Mathematics II.

MAE 252 Aerodynamics I 3. Prerequisites: MA 301 and C- or better in MAE 251Corequisite: MA 341.

Fundamentals of perfect fluid theory with applications to incompressible flows over airfoils, wings, and flight vehicle configurations.

ECG 528 Options and Derivatives Pricing 3. Prerequisites: MA 341 and MA 405 and MA 421.

The course covers (i) structure and operation of derivative markets, (ii) valuation of derivatives, (iii) hedging of derivatives, and (iv) applications of derivatives in areas of risk management and financial engineering. Models and pricing techniques include Black-Scholes model, binomial trees, Monte-Carlo simulation. Specific topics include simple no-arbitrage pricing relations for futures/forward contracts; put-call parity relationship; delta, gamma, and vega hedging; implied volatility and statistical properties; dynamic hedging strategies; interest-rate risk, pricing of fixed-income product; credit risk, pricing of defaultable securities.

MBA 528 Options and Derivatives Pricing 3. Prerequisites: MA 341 and MA 405 and MA 421.

The course covers (i) structure and operation of derivative markets, (ii) valuation of derivatives, (iii) hedging of derivatives, and (iv) applications of derivatives in areas of risk management and financial engineering. Models and pricing techniques include Black-Scholes model, binomial trees, Monte-Carlo simulation. Specific topics include simple no-arbitrage pricing relations for futures/forward contracts; put-call parity relationship; delta, gamma, and vega hedging; implied volatility and statistical properties; dynamic hedging strategies; interest-rate risk, pricing of fixed-income product; credit risk, pricing of defaultable securities.

FIM 528 Options and Derivatives Pricing 3. Prerequisites: MA 341 and MA 405 and MA 421.

The course covers (i) structure and operation of derivative markets, (ii) valuation of derivatives, (iii) hedging of derivatives, and (iv) applications of derivatives in areas of risk management and financial engineering. Models and pricing techniques include Black-Scholes model, binomial trees, Monte-Carlo simulation. Specific topics include simple no-arbitrage pricing relations for futures/forward contracts; put-call parity relationship; delta, gamma, and vega hedging; implied volatility and statistical properties; dynamic hedging strategies; interest-rate risk, pricing of fixed-income product; credit risk, pricing of defaultable securities.

MA 528 Options and Derivatives Pricing 3. Prerequisites: MA 341 and MA 405 and MA 421.

The course covers (i) structure and operation of derivative markets, (ii) valuation of derivatives, (iii) hedging of derivatives, and (iv) applications of derivatives in areas of risk management and financial engineering. Models and pricing techniques include Black-Scholes model, binomial trees, Monte-Carlo simulation. Specific topics include simple no-arbitrage pricing relations for futures/forward contracts; put-call parity relationship; delta, gamma, and vega hedging; implied volatility and statistical properties; dynamic hedging strategies; interest-rate risk, pricing of fixed-income product; credit risk, pricing of defaultable securities.

CE 339 Civil Engineering Systems 3. Prerequisite: CSC 111 and (MA 341 or MA 305).

A broad perspective, systematic approach to civil planning, analysis, evaluation and design for large scale projects in construction, structures, transportation, water resources and other civil engineering ares.

MA 548 Monte Carlo Methods for Financial Math 3. Prerequisites: (MA 421 or ST 421), MA 341, and MA 405.

Monte Carlo (MC) methods for accurate option pricing, hedging and risk management. Modeling using stochastic asset models (e.g. geometric Brownian motion) and parameter estimation. Stochastic models, including use of random number generators, random paths and discretization methods (e.g. Euler-Maruyama method), and variance reduction. Implementation using Matlab. Incorporation of the latest developments regarding MC methods and their uses in Finance.

TT 331 Performance Evaluation of Textile Materials 4. Prerequisite: (ST 311 or BUS 350 or ST 361 or ST 370) and TMS 211 and (TT 221 or TT 327) and (PY 211or PY 205) and (MA 231 or MA 241); Corequisite: TT 252 or (TT 341 and TT 351)..

Standards, principles and effects of test conditions in measuring basic physical and mechanical properties of textile materials. Design of test and interpretation of test results in relation to end-use performance, product development, process control, research and development and other requirements.

NE 550 Introduction to Atomistic Simulations 3. Prerequisite: PY 208 or equivalent and MA 341.

NE 550 is an introductory course on molecular dynamics simulations. The course covers the principles of classical and statistical mechanics that underpin the simulation methods. Emphasis is placed on writing computer programs for determining thermodynamic, structural and transport properties of different types of materials.

FIM 548 Monte Carlo Methods for Financial Math 3. Prerequisites: (MA 421 or ST 421), MA 341, and MA 405.

Monte Carlo (MC) methods for accurate option pricing, hedging and risk management. Modeling using stochastic asset models (e.g. geometric Brownian motion) and parameter estimation. Stochastic models, including use of random number generators, random paths and discretization methods (e.g. Euler-Maruyama method), and variance reduction. Implementation using Matlab. Incorporation of the latest developments regarding MC methods and their uses in Finance.

BME 355 Biocontrols 3. Prerequisite: MA 341; Corequisite: BME 311.

Quantitative analysis of dynamic and feedback control systems, including modeling of physiological systems and physiological control systems, system time and frequency responses, control characteristics, and stability analysis. Design techniques for feedback systems in biomedical applications.

BME 342 Analytical and Experimental Methods for Biomedical Engineers 3. Prerequisite: BME 201; MAE 208 or CE 215; MAE 214 or CE 313; MA 341.

Experimental and analytic tools are developed and used to solve problems in biomedical engineering. Techniques include kinematic analysis, closed form and finite element analysis of stresses and strains in a body, and failure analysis. Transducersnecessary for experimental analysis and testing are introduced. Students learn advanced software packages such as the finite element program ANSYS and the dynamic analysis program ADAMS to assist in their analyses.

PY 413 Thermal Physics 3. Prerequisite: PY 203 or PY 407; Corequisite: MA 341.

An introduction to statistical mechanics and thermodynamics. The statistical study of physical systems emphasizing the connection between the statistical description of macroscopic systems and classical thermodynamics. Concepts of heat, internal energy, temperature and entropy. Classical and quantum statistical distributions.