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## College of Agriculture and Life Sciences

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

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

## 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**...**

## NE 201 Introduction to Nuclear Engineering 2. Prerequisite: Grade of C or better in MA 241, PY 205.

An introduction to the concepts, systems and application of nuclear processes. Topics include radioactivity, fission, fusion, reactor concepts, biological effects of radiation, nuclear propulsion, and radioactive waste disposal. Designed to give students a broad perspective of nuclear engineering and an introduction to fundamentals and applications of nuclear energy.

## MAE 206 Engineering Statics 3. Prerequisite: Cumulative GPA 2.5 or higher and a grade of C or better in both MA 241 and PY 205.

## TE 201 Textile Engineering Science 4. Prerequisite: Grade of C or better in MA 241, PY 205; and Corequisite: TE/ISE 110.

Structure, physical and mechanical properties of fibers; structure of assemblies. Structure/property relations. Laboratory exercises in characterization of fiber properties.

## ECE 331 Principles of Electrical Engineering 3. Prerequisite: PY 208 and a C or better in MA 241.

Concepts, units and methods of analysis in electrical engineering. Analysis of d-c and a-c circuits, characteristics of linear and non-linear electrical devices; principles of operational amplifiers; transformers; motors; and filters.

## BAE 580 Introduction to Land and Water Engineering 3. Prerequisite: MA 241.

This distance course introduces students to concepts of the hydrologic cycle, water quality, precipitation, evapotranspiration, infiltration, watershed delineation, surface runoff and open channel flow. Students will apply these concepts to an engineering design problem. This course is designed for non-engineering distance graduate students and lifelong education students and students from engineering disciplines outside of BAE. It will not substitute for BAE 471. The course is only open to students with senior standing or higher.

## MA 241 Calculus II 4. Prerequisite: MA 141 with grade of C- or better or AP Calculus credit. Credit is not allowed for both MA 241 and MA 231..

Second of three semesters in a calculus sequence for science and engineering majors. Techniques and applications of integration, elementary differential equations, sequences, series, power series, and Taylor's Theorem. Use of computational tools.

## 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 225 Foundations of Advanced Mathematics 3. Prerequisite: MA 241.

Introduction to mathematical proof with focus on properties of the real number system. Elementary symbolic logic, mathematical induction, algebra of sets, relations, functions, countability. Algebraic and completeness properties of the reals.

## MA 302 Numerical Applications to Differential Equations 1. Prerequisite: MA 241.

Numerical methods for approximating solutions for differential equations, with an emphasis on Runge-Kutta-Fehlberg methods with stepsize control. Applications to population, economic, orbital and mechanical models.

## MA 303 Linear Analysis 3. Prerequisite: MA 241.

Linear difference equations of first and second order, compound interest and amortization. Matrices and systems of linear equations, eigenvalues, diagonalization, systems of difference and differential equations, transform methods, population problems. Credit not allowed if credit has been obtained for MA 341 or MA 405.

## MA 305 Introductory Linear Algebra and Matrices 3. Prerequisite: MA 241 or MA 231 with MA 132.

The course is an elementary introduction to matrix theory and linear algebra. Emphasis is given to topics that will be useful in other disciplines, including systems of equations, Euclidean vector spaces, determinants, eigenvalues and eigenvectors, linear transformations, similarity, and applications such as numerical solutions of equations and computer graphics. Compares with MA 405 Introductory Linear Algebra, more emphasis is placed on methods and calculations,. Credit is not allowed for both MA 305 and MA 405.

## MA 351 Introduction to Discrete Mathematical Models 3. Prerequisite: MA 224, 225, 231 or 241.

Basic concepts of discrete mathematics, including graph theory, Markov chains, game theory, with emphasis on applications; problems and models from areas such as traffic flow, genetics, population growth, economics, and ecosystem analysis.

## 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 412 Long-Term Actuarial Models 3. Prerequisite: MA 241 or MA 231, Corequisite: MA 421, BUS(ST) 350, ST 301, ST 305, ST 311, ST 361, ST 370, ST 371, ST 380 or equivalent.

Long-term probability models for risk management systems. Theory and applications of compound interest, probability distributions of failure time random variables, present value models of future contingent cash flows, applications to insurance, health care, credit risk, environmental risk, consumer behavior and warranties.

## ST 412 Long-Term Actuarial Models 3. Prerequisite: MA 241 or MA 231, Corequisite: MA 421, BUS(ST) 350, ST 301, ST 305, ST 311, ST 361, ST 370, ST 371, ST 380 or equivalent.

Long-term probability models for risk management systems. Theory and applications of compound interest, probability distributions of failure time random variables, present value models of future contingent cash flows, applications to insurance, health care, credit risk, environmental risk, consumer behavior and warranties.

## MA 413 Short-Term Actuarial Models 3. Prerequisite: MA 241 or MA 231, and one of MA 421, ST 301, ST 305, ST 370, ST 371, ST 380, ST 421..

Short-term probability models for risk management systems. Frequency distributions, loss distributions, the individual risk model, the collective risk model, stochastic process models of solvency requirements, applications to insurance and businessdecisions.

## ST 413 Short-Term Actuarial Models 3. Prerequisite: MA 241 or MA 231, and one of MA 421, ST 301, ST 305, ST 370, ST 371, ST 380, ST 421..

Short-term probability models for risk management systems. Frequency distributions, loss distributions, the individual risk model, the collective risk model, stochastic process models of solvency requirements, applications to insurance and businessdecisions.

## MA 116 Introduction to Scientific Programming (Math) 3. Prerequisite: MA 141, and either COS 100 or E 115; Corequisite: MA 241.

Computer-based mathematical problem solving and simulation techniques using MATLAB. Emphasizes scientific programming constructs that utilize good practices in code development, including documentation and style. Covers user-defined functions, data abstractions, data visualization and appropriate use of pre-defined functions. Applications are from science and engineering. Prerequisites: MA 141 and either PMS 100 or E115. Corequisite: MA 241.

## 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 312 Atmospheric Thermodynamics 4. Prerequisite: MA 141, PY 205; Corequisite: MA 241, PY 208.

Introduction to atmospheric thermodynamics for meteorology majors. Topics include the equation of state for mixture of gases; first and second laws of thermodynamics; diabatic and adiabatic processes for dry and moist air; measurement and phase changes of water vapor. Atmospheric statics: static stability of moist air; CAPE and vertical acceleration. Focus will be on applying the rigorous framework of classical thermodynamics to derive and solve quantitatively the governing equations describing these processes.

## MEA 411 Marine Sediment Transport 3. Prerequisite: MEA 101 or MEA 200, MA 241, PY 201 or PY 205.

Quantitative study of sediment transport in the marine environment including an introduction to fluid mechanics and sediment transport theory. Discussion of the processes and products of sediment transport in specific marine environments from estuaries to the deep sea and interpretation of sediment transport processes from sedimentary structures. Credit not allowed for both MEA 411 and MEA 562.

## MEA 460 Principles of Physical Oceanography 3. Prerequisite: MA 241 or MA 231; Corequisite: PY 203,PY 208 or PY 212..

Introduction to principles and practices of physical oceanography. Equation of state of seawater; energy transfer to the ocean by thermal, radiative and mechanical processes; the heat budget; oceanic density distribution; oceanic boundary conditions; conservations equation; air-sea interaction; global fluxes and general description of major ocean currents. Credit is not allowed for both MEA 460 and MEA 540.

## MEA 562 Marine Sediment Transport 3. Prerequisite: MEA 101 or MEA 200, MA 241, PY 201 or PY 205.

Quantitative study of sediment transportation in the marine environment including introduction to fluid mechanics and sediment transportation theory. Processes and products of sediment transportation in specific marine environments from estuaries todeep sea and the interpretation of sediment transport processes from sedimentary structures. Credit not allowed for both MEA 411 and MEA 562.

## MEA 585 Physical Hydrogeology 3. Prerequisite: MEA 101, MEA 110, MA 241, and PY 201 or PY 205.

Physical aspects of groundwater flow in geological media. Saturated and unsaturated flow, Darcy's equation, heterogeneity and anisotropy, storage properties of geological materials, effective stress, governing equations for steady and unsteady flow, recharge, groundwater exchange with surface water, groundwater flow to well,s estimation of hydraulic properties of aquifers.

## MEA 700 Environmental Fluid Mechanics 3. Prerequisite: MA 241, PY 208.

Basic concepts and laws governing motion of atmosphere and oceans developed from first principles, including approximations valid for environmental flows, kinematics, dynamics and thermodynamics of fluid flows as well as introduction to environmental turbulence. Credit is not allowed for both MEA 463 and MEA 700.

## MEA 321 Fundamentals of Air Quality and Climate Change 3. Prerequisite: CH 101, CH 201, MA 141, MA 241; Corequisite: PY 205.

An intermediate-level introduction, for meteorology majors, to the physical and chemical environment of the atmosphere and to climate change. Topics include the atmosphere's chemical composition; atmospheric chemical reaction processes in gas phase, liquid phase, and on particle surfaces.

## PY 202 University Physics II 4. Prerequisite: PY 201, MA 141, Corequisite: MA 241. Credit is not allowed for both PY 202 and PY 208 or PY 211..

Second course of three semester sequence designed primarily for students majoring in physical and mathematical sciences. Calculus used throughout. Principles of electricity and magnetism covered in detail.

## 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.

## ST 370 Probability and Statistics for Engineers 3. Prerequisite: MA 241.

Calculus-based introduction to probability and statistics with emphasis on Monte Carlo simulation and graphical display of data on computer workstations. Statistical methods include point and interval estimation of population parameters and curve and surface fitting (regression analysis). The principles of experimental design and statistical process control introduced. Credit not allowed for both ST 370 and ST 361 or ST 380.

## 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.

## ST 380 Probability and Statistics for the Physical Sciences 3. Prerequisite: MA 241.

Introduction to probability models and statistics with emphasis on Monte Carlo simulation and graphical display of data on computer laboratory workstations. Statistical methods include point and interval estimation of population parameters and curveand surface fitting (regression analysis). Credit not allowed for both ST 380 and ST 361 or ST 370.

## ECE 200 Introduction to Signals, Circuits and Systems 4. Prerequisite: Cum GPA 2.5 or above (or NTR) , C or better in MA 241 and PY 205.

Ohm's law and Kirchoff's laws; circuits with resistors, photocells, diodes and LEDs; rectifier circuits; first order RC circuits; periodic signals in time and frequency domains, instantaneous, real and apparent power; DC and RMS value; magnitude andpower spectra, dB, dBW, operational amplifier circuits, analog signal processing systems including amplification, clipping, filtering, addition, multiplication, AM modulation sampling and reconstruction. Weekly hardware laboratory utilizing multimeter, function generator, oscilloscope and spectrum analyzer and custom hardware for experiments on various circuits and systems.

## CH 232 Computational Chemistry Lab II 1. Prerequisite: CH 221 or CH 225, Corequisite: MA 241.

An introduction to computational methods in the chemical sciences. A computer-based introduction to quantum mechanics, including atomic and molecular orbitals and molecular orbital theory with applications to inorganic chemistry.

## CH 331 Introductory Physical Chemistry 4. Prerequisite: (CH 201 or CH 203) and (CH 202 and 204) and (MA 231 or 241) and (PY 205 or PY 211).

Fundamental physiochemical principles including chemical thermodynamics, physical and chemical equilibrium, electrochemistry and reaction kinetics. For students requiring only a single semester of physical chemistry.

## CH 230 Computational Chemistry Lab I 1. Prerequisite: CH 221 or CH 225: Co-requisite: MA 241.

An introduction to computational methods in the chemical sciences. A quantitative introduction to inter- and intramolecular forces in gas and condensed phases. Potential energy surfaces of molecules and chemical reactions. First of a two-semester sequence.

## PY 208 Physics for Engineers and Scientists II 3. Prerequisite: C- or better in PY 205 and C- or better in MA 241. Credit is not allowed for both PY 208 and PY 202 or PY 212. Co-requisite: PY 209. ADD BOTH PY 208 and PY 209 TO YOUR SHOPPING CART AND THEN ENROLL SIMULTANEOUSLY.

## PY 209 Physics for Engineers and Scientists II Laboratory 1. Pre-requisite: PY 205 with grade of C- or better, MA 241 with grade of C- or better, PY 206 with grade of C- or better. Co-requisite: PY 208. ADD BOTH PY 208 and PY 209 TO YOUR SHOPPING CART AND THEN ENROLL SIMULTANEOUSLY.

Laboratory course to accompany the PY 208 lecture course. A calculus-based study of electricity, magnetism, optics and modern physics.

## TT 405 Advanced Nonwovens Processing 3. Prerequisite: MA 241, PY 208, TT 305.

Mechanisms used in the production of nonwoven materials. Design and operation of these mechanisms. Process flow, optimization of process parameters, influence of process parameters on product properties.

## PCC 402 Introduction to the Theory and Practice of Fiber Formation 3. Prerequisite: TE 200 and (CH 201 or CH 203) and (PY 208 or PY 212) and (MA 231 or MA 241).

Flow behavior of polymeric materials as related to the formation of fibers by melt, dry and wet extrusion. Elementary theories of drawing and heat setting. Application of fiber-forming theories to synthetic and cellulosic fibers. Offered in Fall only.

## MA 231 Calculus for Life and Management Sciences B 3. Prerequisite: MA 131 or MA 141; Credit is not allowed for both MA 231 and MA 241..

Differential equations - population growth, flow processes, finance and investment models, systems; functions of several variables - partial derivatives, optimization, least squares, multiple integrals; Lagrange multiplier method - chain rule, gradient; Taylor polynomials and series; numerical methods. MA 121 is not an accepted prerequisite for MA 231.

## 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.

## CHE 205 Chemical Process Principles 4. Prerequisite: Grade of C or better in MA 241, PY 205, and (CH 201 or CH 221 or CH 225).

Engineering methods of treating material balances, stoichiometry, phase equilibrium calculations, thermophysics, thermochemistry and the first law of thermodynamics. Introduction to equation solving packages and spreadsheets for solving problems related to chemical engineering calculations.

## PY 206 Physics for Engineers and Scientists I Laboratory 1. Prerequisite: MA 141 with a grade of C- or better or MA 241 Placement. Co-requisite: PY 205. ADD BOTH PY 205 and PY 206 TO YOUR SHOPPING CART AND THEN ENROLL SIMULTANEOUSLY.

Laboratory course to accompany the PY 205 lecture course. A calculus-based study of mechanics, sound and heat.

## MAE 426 Fundamentals of Product Design 3. Prerequisite: MA 241.

Many think of design as more of an art than a science. However, the growing body of research in the engineering design community teaches us ways to navigate the design of consumer products using interdisciplinary design tools and rational decision making. This course introduces students to scientific design techniques that are more effective than "ad hoc" tactics. By exploring how engineering principles integrate with "real world" design challenges, students will learn to solve product design problems that encompass heterogeneous markets, multiple disciplines, and large-scale complex systems.

## 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.

## TT 327 Yarn Production and Properties 4. Prerequisite: TMS 211 and (MA 231 or MA 241); Co-requisite: PY 212.

The processing of natural and man-made, fibers and filaments into yarns. The impact of fiber selection and processing parameters on the quality of the yarn and subsequent products. Major processing routes for staple fibers and filaments together with recent developments in applicable technologies.

## BEC 462 Fundamentals of Bio-Nanotechnology 3. Prerequisite: MA 241 and PY 208 and (CH 223 or CH 227).

Concepts of nanotechnology are applied in the synthesis, characterization, recognition and application of biomaterials on the nanoscale. Emphasis will be given to hands-on experience with nanostructured biomaterials; students will also be familiarized with the potential impact of these materials on different aspects of society and potential hazards associated with their preparation and application.

## BEC 562 Fundamentals of Bio-Nanotechnology 3. Prerequisite: MA 241 and PY 208 and (CH 223 or CH 227).

Concepts of nanotechnology are applied in the synthesis, characterization, recognition and application of biomaterials on the nanoscale. Emphasis will be given to hands-on experience with nanostructured biomaterials; students will also be familiarized with the potential impact of these materials on different aspects of society and potential hazards associated with their preparation and application.

## CHE 462 Fundamentals of Bio-Nanotechnology 3. Prerequisite: MA 241 and PY 208 and (CH 223 or CH 227).

Concepts of nanotechnology are applied in the synthesis, characterization, recognition and application of biomaterials on the nanoscale. Emphasis will be given to hands-on experience with nanostructured biomaterials; students will also be familiarized with the potential impact of these materials on different aspects of society and potential hazards associated with their preparation and application.

## MAE 251 Aerospace Vehicle Performance 3. Prerequisite: Cumulative GPA 2.0 or higher and a grade of C or better in both MA 241 and PY 205; Corequisite: CSC 113.

Introduction to the problem of performance analysis in aerospace engineering. Aircraft performance in gliding, climbing, level, and turning flight. Calculation of vehicle take-off and landing distance, range and endurance. Elementary performance design problems. Introduction to space flight.

## PY 251 Introduction to Scientific Computing 3. Prerequisite: MA 241; Corequisite: PY 202 or PY 208.

An introductory course in scientific computing for the physical and mathematical sciences using python and other open-source tools. Using a problem-oriented approach, students will learn the basic computing skills needed to conduct scientific research and to prepare for upper-level courses in science and engineering. Topics will include algorithm development, numerical methods, elements of programming, data analysis, and data visualization.