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## College of Agriculture and Life Sciences

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

**...**Calculus I, II, and III (, **MA** 241 , and **MA** **242** ) and calculus based Physics I**...**

## Department of Marine, Earth and Atmospheric Sciences

http://catalog.ncsu.edu/undergraduate/collegeofsciences/marineearthandatmosphericsciences/

**...**better in the following courses:
**MA** 141
**MA** 241
**MA** **242**
PY 205
PY 208**...**

## Department of Molecular and Structural Biochemistry

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

**...**three-semester sequence of Calculus ( **MA** 141 , **MA** 241 , **MA** **242** ) and the calculus based**...**

## CE 313 Mechanics of Solids 3. Prerequisite: Minimum GPA =/> 2.5,Grade of C- or better in CE 214, and MA 242.

Elementary analysis of deformable solids subjected to force systems. Concepts of stress and strain; one, two and three-dimensional stress-strain relationships for the linear elastic solid. Statically determinate and indeterminate axial force, torsion and bending members. Stress transformations, pressure vessels, combined loadings. Introduction to column buckling.

## CE 215 Engineering Mechanics-Dynamics 3. Prerequisite: Minimum GPA =/> 2.5,Grade of C- or better in CE 214, and MA 242.

Kinematics and kinetics of particles; mass flow; vibrations; plane kinematics and kinetics of rigid bodies; selected topics from three-dimensional rigid body dynamics, and orbital motion.

## ECG 704 Macroeconomics I 3. Prerequisite: ECG 561, ECG 703, MA 242.

Rigorous examination of basic macroeconomic theory, including household choice of consumption demand and labor supply, capital accumulation and economic growth, government purchases, taxation, government debt, investment, consumption and investment under uncertainty, real business cycle models. Throughout the course, the connection between economic intuition and formal mathematical analysis is emphasized. The level of mathematical rigor is high.

## TMS 500 Fiber and Polymer Microscopy 3. Prerequisite: MA 242, PY 208, TC 203.

Art and science of light and electron microscopy; theoretical and practical aspects of visibility, resolution and contrast. Laboratory practice in assembling, testing and using various microscopes and accessories in analyzing, describing and identifying unoriented and oriented crystalline or amorphous materials. Laboratory emphasis on study of fibers and polymers through transmission microscopy with polarized light.

## TE 301 Engineering Textile Structures I: Linear Assemblies 3. Prerequisite: (MAE 206 or CE 214) and MA 242.

Engineering analysis of textile structures, especially yarns. Unit processes of production, handling and packaging. Production sequences, intermachine effects, machine design and their consequences on the textile product.

## TE 303 Thermodynamics for Textile Engineers 3. Prerequisite: MA 242, PY 208.

Introduction to the concept of energy and the laws governing the transfer and transformation of energy with an emphasis on thermodynamic properties and the First and Second Laws of Thermodynamics. The fundamentals of thermodynamics will be emphasized, although more applied examples and problems will be heavily utilized.

## 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 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.

## 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.

## BME 210 Biomedical Electronics 4. Prerequisite: MA 242, PY 208. For BME Majors only..

Fundamentals of analog and digital circuit analysis and design as applied to biomedical instrumentation and measurement of biological potentials. Passive circuit components, node and mesh analysis, transient behavior, operational amplifiers, frequency response, analog filter design, diode, transistors, biological signal acquisition, binary math and logical operators, digital circuit design, circuit simulation tools and techniques. Laboratory exercises supplement the topics presented in class lectures.

## MAE 208 Engineering Dynamics 3. Prerequisite: 2.5 GPA or higher, MA 242, C- or better in MAE 206 or CE 214.

Kinematics and kinetics of particles in rectangular, cylindrical, and curvilinear coordinate systems; energy and momentum methods for particles; kinetics of systems of particles; kinematics and kinetics of rigid bodies in two and three dimensions; motion relative to rotating coordinate systems.

## MA 242 Calculus III 4. Prerequisite: MA 241 with grade of C- or better or AP Calculus credit, or Higher Level IB credit..

Third of three semesters in a calculus sequence for science and engineering majors. Vectors, vector algebra, and vector functions. Functions of several variables, partial derivatives, gradients, directional derivatives, maxima and mimima. Multiple integration. Line and surface integrals, Green's Theorem, Divergence Theorems, Stokes' Theorem, and applications. Use of computational tools.

## MA 325 Introduction to Applied Mathematics 3. Prerequisite: (MA 231 or MA 242) and (MA 116 or CSC 112 or CSC 114 or CSC 116).

Introduces students with multivariable calculus to five different areas of applied mathematics. These areas will be five three-week modules, which lead to higher level courses in the application areas. Topics will vary, and examples of modules areheat and mass transfer, biology and population, probability and finance, acoustic models, cryptography as well as others.

## 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 421 Introduction to Probability 3. Prerequisite: MA 242.

Axioms of probability, conditional probability and independence, basic combinatorics, discrete and continuous random variables, joint densities and mass functions, expectation, central, limit theorem, simple stochastic processes.

## MA 504 Introduction to Mathematical Programming 3. Prerequisite: MA 242, MA 405.

Basic concepts of linear, nonlinear and dynamic programming theory. Not for majors in OR at Ph.D. level.

## OR 504 Introduction to Mathematical Programming 3. Prerequisite: MA 242, MA 405.

Basic concepts of linear, nonlinear and dynamic programming theory. Not for majors in OR at Ph.D. level.

## MA 513 Introduction To Complex Variables 3. Prerequisite: MA 242.

Operations with complex numbers, derivatives, analytic functions, integrals, definitions and properties of elementary functions, multivalued functions, power series, residue theory and applications, conformal mapping.

## MA 440 Game Theory 3. Prerequisite: MA 231 or MA 242.

Game Theory as a language for modeling situations involving conflict and cooperation in the social, behavioral, economic, and biological sciences. Backward induction; dominated strategies; Nash equilibria; games with incomplete information; repeated games; evolutionary dynamics.

## E 304 Introduction to Nano Science and Technology 3. Prerequisite: MA 242 and PY 208 with grade of C- or higher.

Fundamental concepts of Nano-Science and Technology including scaling, nano-scale physics, materials, mechanics, electronics, heat transfer, photonics, fluidics and biology. Applications of nano-technology.

## MEA 315 Mathematics Methods in Atmospheric Sciences 4. Prerequisite: MA 116, MA 141, MA 241; Corequisite: MA 242.

For sophomore meteorology and marine science students. A complement to MA 242 designed to prepare students for quantitative atmospheric applications. Topics include an introduction to vectors and vector calculus, atmospheric waves, phase and group velocity, perturbation analysis, fourier decomposition, matrix operations, chaos and predictability. For MY, MMY, and MRM majors only.

## MA 315 Mathematics Methods in Atmospheric Sciences 4. Prerequisite: MA 116, MA 141, MA 241; Corequisite: MA 242.

For sophomore meteorology and marine science students. A complement to MA 242 designed to prepare students for quantitative atmospheric applications. Topics include an introduction to vectors and vector calculus, atmospheric waves, phase and group velocity, perturbation analysis, fourier decomposition, matrix operations, chaos and predictability. For MY, MMY, and MRM majors only.

## CE 214 Engineering Mechanics-Statics 3. Prerequisite: GPA greater than or equal to 2.5; Grade of C or better in PY 205; Grade of C or better in MA 241; Co-requisite: MA 242.

## MEA 412 Atmospheric Physics 3. Prerequisite: MA 242, PY 208.

Physical and analytical descriptions of atmospheric aerosols, clouds/fogs, and precipitation processes; size distribution and sources of atmospheric aerosols; impact of aerosols on visibility and climate; microstructure of warm and cold clouds and their interaction with solar and terrestrial radiation; collision-coalescence and ice phase mechanisms of precipitation formation; atmospheric electricity; planned and inadvertent weather modification; weather radar; atmospheric optics.

## MEA 421 Atmospheric Dynamics I 3. Prerequisite: MA 242 and PY 208 and MEA 312.

Meteorological applications of fluid kinematics: divergence, vorticity, deformation, advection, mass continuity and vertical motion. Atmospheric dynamics: the equation of motion on a rotating earth; component equations in Cartesian, polar-sphericaland pressure coordinates. Scale analysis and simplifications. Cases of horizontal flow: geostrophic and gradient wind, ageostrophy and acceleration; thermal wind and vorticity.

## PY 203 University Physics III 4. Prerequisite: PY 202, MA 241, Corequisite: MA 242.

Third course of three semester sequence designed primarily for students majoring in physical and mathematical sciences. Calculus is used throughout. Principles of wave optics and modern physics are covered in detail.

## PY 407 Introduction to Modern Physics 3. Prerequisite: MA 242, PY 208.

## MSE 260 Mathematical Methods for Materials Engineers 3. Corequisite:MA 242.

Use of MATLAB programming environment to illustrate and discuss principles and applications of analytical and numerical mathematical methods that are central to materials science and engineering. Data plotting, curve fitting, complex numbers and series, Fourier series and transforms, numerical integration and differentiation, linear algebra and matrix manipulation, initial and boundary value problems, numerical solution to ordinary differential equations and transport simulation through the use of partial differential equations.

## ST 371 Introduction to Probability and Distribution Theory 3. Prerequisite: MA 241, Corequisite: MA 242.

Basic concepts of probability and distribution theory for students in the physical sciences, computer science and engineering. Provides the background necessary to begin study of statistical estimation, inference, regression analysis, and analysis of variance.

## MAE 201 Engineering Thermodynamics I 3. Prerequisite: MA 242, PY 208 or 202.

Introduction to the concept of energy and the laws governing the transfers and transformations of energy. Emphasis on thermodynamic properties and the First and Second Law analysis of systems and control volumes. Integration of these concepts into the analysis of basic power cycles is introduced.

## 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.

## MAE 214 Solid Mechanics 3. Prerequisites: MA 242 and C- or better in (MAE 206 or CE 214).

Concepts and theories of internal force, stress, strain, and strength of structural element under static loading conditions. Constitutive behavior for linear elastic structures. Deflection and stress analysis procedures for bars, beams, and shafts.Introduction to matrix analysis of structures.

## MA 518 Geometry of Curves and Surfaces 3. Prerequisite: MA 242 and MA 405.

Geometry of curves and surfaces in space; Arclength, torsion, and curvature of curves; Tangent spaces, shape operators, and curvatures of surfaces; metrics, covariant derivatives, geodesics, and holonomy. Applications in the physical sciences and/or projects using computer algebra.

## ST 501 Fundamentals of Statistical Inference I 3. Prerequisite: MA 242 or equivalent.

First of a two-semester sequence in probability and statistics taught at a calculus-based level. Probability: discrete and continuous distributions, expected values, transformations of random variables, sampling distributions. Credit not given for both ST 521 and ST 501.

## BAE 305 Biological Engineering Circuits 4. Prerequisite: MA 242, PY 208.

Fundamentals of analog and digital circuit analysis and design as applied to biological engineering instrumentation systems. Analysis and design of AC and DC circuits using Ohms and Kirchhoff's laws, the node voltage method, ThŽvenin and Norton's theorem, Laplace Transforms, resistance, capacitance, inductance, operational amplifiers, and frequency response, analog filter design, diode, transistors, biological signal acquisition, binary math and logical operators, digital circuit design, circuit simulation tools and techniques. Laboratory exercises supplement the topics presented in class lectures.

## ISE 441 Introduction to Simulation 3. Prerequisite: MA 242, ST 372, C or better in ISE 110.

Discrete-event stochastic simulation for the modeling and analysis of systems. Programming of simulation models in a simulation language. Input data analysis, variance reduction techniques, validation and verification, and analysis of simulation output. Random number generators and random variate generation.

## BCH 330 Physical Biochemistry 3. P: (CH 201 or CH 203) and (BCH 351 or BCH 451) and (MA 231 or MA 242) and (PY 208 or PY 212).

This course provides a descriptive survey of the concepts of physical chemistry with emphasis on their use in applications designed to characterize and manipulate biological molecules and systems. Topics are drawn from thermodynamics (bonding, protein folding energies, linkage, specostropic and differential scanning calorimetric binding measurements), kinetics (enzymatic catalysis, perturbation techniques), statistical mechanics (distributions, ensembles, molecular mechanical & dynamics calculations), electrochemistry, hydrodynamics (diffusion, friction, electrophoresis, viscosity, sedimentation, organism size and shape), quantum mechanics (wave functions operators, uncertainty principle, dipoles, orbitals and resonance energy coupling), and spectroscopy (absorbance and light scattering, fluorescence, nuclear and electronic paramagnetic resonance, MR imaging and x-ray diffraction).

## NE 202 Radiation Sources, Interaction and Detection 4. Prerequisites: C- or better in MA 242 and PY 208.

Introduction to nuclear energy. Topics include radioactivity, radiation detection, interaction of radiation with matter, nuclear reactions, fission, fusion, nuclear reactors, radiation safety and protection, and laboratory measurement of nuclear radiation.

## ST 421 Introduction to Mathematical Statistics I 3. Prerequisite: MA 242.

First of a two-semester sequence of mathematical statistics, primarily for undergraduate majors in Statistics. Introduction to probability, univariate and multivariate probability distributions and their properties, distributions of functions of random variables, random samples and sampling distributions. Credit is not allowed for both ST 421 and MA 421.

## MSE 301 Introduction to Thermodynamics of Materials 3. Prerequisite: C or better in (MSE 201 or MSE 203 or BME 203) and MA 242.

Review of classical thermodynamics and thermodynamic relationships. Use of statistical methods of describe entropy and other thermodynamic properties. Description of vapor-, liquid-, and solid-phase equilibrium in unary and other multicomponent material systems. Treatment of ideal and nonideal solution behavior in inorganic alloys and organic polymers. Application of gas-phase reaction kinetics and identification of the criteria required for reaction equilbria.