2018-2020 Undergraduate and Graduate Bulletin (with addenda) [ARCHIVED CATALOG]
Course Descriptions
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A Brief Guide to Course Descriptions
Each program described in this catalog contains detailed descriptions of the courses offered within the program.
The first line gives the official course number for which students must register and the official course title. The letters indicate the discipline of the course and the first number of the official course numbers indicates the level of the course. The levels are as follows:
- 1XXX - Freshman Level
- 2XXX - Sophomore Level
- 3XXX - Junior Level
- 4XXX - Senior Level
- 5XXX to 9XXX - Graduate level
Typically the last number of the course number indicates the number of credits. The breakdown of periods of the course is also listed.
When selecting a course for registration, the section of the course may include the following notations:
- “LEC” - lecture section
- “RCT” or “RC” - recitation section
- “LAB” or “LB” - lab section
Additionally, any other letter or digit listed in the section will further identify the section and being liked to another section of the class with the same letter and/or digit combination. Further information on sections is available from academic advisers during registration periods.
The paragraph description briefly indicates the contents and coverage of the course. A detailed course syllabus may be available by request from the office of the offering department.
“Prerequisites” are courses (or their equivalents) that must be completed before registering for the described course. “Co-requisites” are courses taken concurrently with the described course.
The notation “Also listed…” indicates that the course is also given under the number shown. This means that two or more departments or programs sponsor the described course and that students may register under either number, usually the one representing the student’s major program. Classes are jointly delivered. |
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Materials Science |
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ME-UY 2811 Materials Science Laboratory 1 Credits
Students learn to characterize the microstructure and crystal structure of a material by optical and scanning electron microscopy and X-ray diffraction. The mechanical characterization is accomplished by hardness, tensile and yield strength, impact and fatigue testing.
Corequisite(s): ME-UY 2813 .
Weekly Lecture Hours: 0.5 | Weekly Lab Hours: 0 | Weekly Recitation Hours: 1.5
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ME-UY 2813 Introduction to Materials Science 3 Credits
Students in this course become familiar with atomic structure and bonding, atomic arrangement in crystals, crystal imperfections, mechanical behavior and failure of materials and binary phase diagrams.
Prerequisite(s): NYUAD: ENGR-UH 2012 Corequisite(s): ME-UY 2811 , PH-UY 1013 ; NYUAD: ME-UY 2811
Weekly Lecture Hours: 3 | Weekly Lab Hours: 0 | Weekly Recitation Hours: 0
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MT-UY 4853 Manufacturing Engineering and Processes 3 Credits
This course introduces the manufacturing processes for fabricating components used in mechanical systems; casting processes; bulk metal deformation and sheet-metal forming processes; materials-removal processes; Joining and fastening processes; manufacturing automation; and integrated manufacturing systems.
Prerequisite(s): ME-UY 2811 and ME-UY 2813 .
Weekly Lecture Hours: 3 | Weekly Lab Hours: 0 | Weekly Recitation Hours: 0
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Mathematics |
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MA-GY 942X Reading in Mathematics II 1-3 Credits
In this course, reading is guided by faculty members and devoted mainly to scholarly papers. | Offered every term.
Prerequisite(s): Department’s permission.
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MA-GY 997X MS Thesis in Math 3-9 Credits
In this course, students present a thesis of independent investigation of a suitable problem in mathematics. Study must include adequate investigation of existing literature relating to the subject. Regular reports on progress of work and regular conferences with assigned faculty adviser are required. | Offered every term.
Prerequisite(s): Degree status.
Note: Re-registration fee, any part: 3-credit charge.
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MA-GY 6213 Elements of Real Analysis I 3 Credits
This course and its sequel MA-GY 6223 rigorously treat the basic concepts and results in real analysis. Course topics include limits of sequences, topological concepts of sets for real numbers, properties of continuous functions and differentiable functions. Important concepts and theorems include supremum and infimum, Bolzano-Weierstrass theorem, Cauchy sequences, open sets, closed sets, compact sets, topological characterization of continuity, intermediate value theorem, uniform continuity, mean value theorems and inverse function theorem. | Offered in the fall.
Prerequisite(s): MA-UY 2122 or permission of adviser.
Weekly Lecture Hours: 3 | Weekly Lab Hours: 0 | Weekly Recitation Hours: 0
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MA-GY 6223 Elements of Real Analysis II 3 Credits
This course continues MA-GY 6213 . The topics are integration, series of real numbers, sequences and series of functions and Fourier series. Important concepts and theorems include Riemann and Riemann-Stieltjes integral, fundamental theorem of calculus, the mean value theorem of integrals, Dirichlet test, absolute and conditional convergence, uniform convergence, Weierstrass test, power series, orthogonal functions and Fourier series. | Offered in the spring.
Prerequisite(s): MA-GY 6213 .
Weekly Lecture Hours: 3 | Weekly Lab Hours: 0 | Weekly Recitation Hours: 0
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MA-GY 7033 Linear Algebra I 3 Credits
This course covers basic ideas of linear algebra: Groups, rings, fields, vector spaces, basis, dependence, independence, dimension. Relation to solving systems of linear equations and matrices. Homomorphisms, duality, inner products, adjoints and similarity. | Offered in the fall.
Prerequisite(s): MA-UY 2034 and MA-UY 2114 or Graduate Standing.
Weekly Lecture Hours: 3 | Weekly Lab Hours: 0 | Weekly Recitation Hours: 0
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MA-GY 7043 Linear Algebra II 3 Credits
This course continues MA-GY 7033 . Topics covered are basic concepts of linear algebra continuing with: range, nullity, determinants and eigenvalues of matrices and linear homomorphisms, the polar decomposition and spectral properties of linear maps, orthogonality, adjointness and its applications. | Offered in the spring.
Prerequisite(s): MA-GY 7033 .
Weekly Lecture Hours: 3 | Weekly Lab Hours: 0 | Weekly Recitation Hours: 0
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MA-GY 9413 Reading in Mathematics I 3 Credits
In this course, reading is guided by faculty members and devoted mainly to scholarly papers. | Offered every term.
Prerequisite(s): Department’s permission.
Weekly Lecture Hours: 3 | Weekly Lab Hours: 0 | Weekly Recitation Hours: 0
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MA-GY 9433 Reading in Mathematics III 3 Credits
In this course, reading is guided by faculty members and devoted mainly to scholarly papers. | Offered every term.
Prerequisite(s): Department’s permission.
Weekly Lecture Hours: 3 | Weekly Lab Hours: 0 | Weekly Recitation Hours: 0
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MA-GY 9443 Reading in Mathematics IV 3 Credits
In this course, reading is guided by faculty members and devoted mainly to scholarly papers. | Offered every term.
Prerequisite(s): Department’s permission.
Weekly Lecture Hours: 3 | Weekly Lab Hours: 0 | Weekly Recitation Hours: 0
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MA-GY 9453 Reading in Mathematics V 3 Credits
In this course, reading is guided by faculty members and devoted mainly to scholarly papers. | Offered every term.
Prerequisite(s): Department’s permission.
Weekly Lecture Hours: 3 | Weekly Lab Hours: 0 | Weekly Recitation Hours: 0
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MA-UY 492X Independent Study 1-4 Credits
In this course, students read, study and investigate selected topics in mathematics. Students discuss and present problems. | Offered in fall and spring.
Prerequisite(s): Departmental adviser’s approval.
Note: This course is repeatable for credit.
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MA-UY 914 Precalculus for Engineers 4 Credits
This course covers: foundations of algebra, exponents, multiplication of algebraic expressions, factoring algebraic expressions, working with algebraic fractions, proportionality, rates of change, equations of lines, completing squares, the quadratic formula, solving equations, systems of linear equations, inequalities, domain and range of functions, exponential and logarithmic functions, compositions of functions, transformations of functions, right triangles, trigonometry of triangles. | Offered every term.
Prerequisite(s): Diagnostic exam Corequisite(s):
Note: Credit for this course may not be used to satisfy the minimum credit requirement for graduation.
Weekly Lecture Hours: 6 | Weekly Lab Hours: 0 | Weekly Recitation Hours: 0
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MA-UY 1024 Calculus I for Engineers 4 Credits
This course covers: Library of functions, functions of one variable. Limits, derivatives of functions defined by graphs, tables and formulas, differentiation rules for power, polynomial, exponential and logarithmic functions, derivatives of trigonometric functions, the product and quotient rules, the chain rule, applications of the chain rule, maxima and minima, optimization.The definite integral, the Fundamental Theorem of Calculus and interpretations, theorems about definite integrals, anti-derivatives. MA-UY 1324 is for students who wish to take MA-UY 1024 but need more review of precalculus. MA-UY 1324 covers the same material as MA-UY 1024 but with more contact hours a week, incorporating a full discussion of the required precalculus topics. | Offered every term.
Prerequisite(s): Diagnostic exam or MA-UY 912 or MA-UY 914 . Corequisite(s):
Weekly Lecture Hours: 4 | Weekly Lab Hours: 0 | Weekly Recitation Hours: 0
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MA-UY 1124 Calculus II for Engineers 4 Credits
This course covers techniques of integration, introduction to ordinary differential equations, improper integrals, numerical methods of integration, applications of integration, sequences, series, power series, approximations of functions via Taylor polynomials, Taylor series, functions of two variables, graphs of functions of two variables, contour diagrams, linear functions, functions of three variables. MA-UY 1424 is for students who wish to take MA-UY 1124 but need more review of precalculus. MA-UY 1424 covers the same material as MA-UY 1124 but with more contact hours per week, incorporating a full discussion of the required precalculus topics. | Offered every term.
Prerequisite(s): MA-UY 1022 (with a grade of B or better) or MA-UY 1024 or MA-UY 1324 (with a grade of B or better). Corequisite(s):
Weekly Lecture Hours: 4 | Weekly Lab Hours: 0 | Weekly Recitation Hours: 0
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MA-UY 1324 Integrated Calculus I for Engineers 4 Credits
This course covers: Library of Functions, functions of one variable. Limits, derivatives of functions defined by graphs, tables and formulas, differentiation rules for power, polynomial, exponential and logarithmic functions, derivatives of trigonometric functions, the product and quotient rules, the chain rule, applications of the chain rule, maxima and minima, optimization. The definite integral, the Fundamental Theorem of Calculus and interpretations, theorems about definite integrals, anti-derivatives. MA-UY 1324 is for students who wish to take MA-UY 1024 but need more review of precalculus. MA-UY 1324 covers the same material as MA-UY 1024 but with more contact hours per week, incorporating a full discussion of the required precalculus topics. | Offered every term.
Prerequisite(s): Disgnostic exam or MA-UY 912 or MA-UY 914 . Corequisite(s):
Weekly Lecture Hours: 6 | Weekly Lab Hours: 0 | Weekly Recitation Hours: 0
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MA-UY 1424 Integrated Calculus II for Engineers 4 Credits
This course covers techniques of integration, introduction to ordinary differential equations, improper integrals, numerical methods of integration, applications of integration, sequences, series, power series, approximations of functions via Taylor polynomials, Taylor series, functions of two variables, graphs of functions of two variables, contour diagrams, linear functions, functions of three variables. MA-UY 1424 is for students who wish to take MA-UY 1124 but need more review of precalculus. MA-UY 1424 covers the same material as MA-UY 1124 but with more contact hours a week, incorporating a full discussion of the required precalculus topics. | Offered every term.
Prerequisite(s): MA-UY 1022 or MA-UY 1024 or MA-UY 1324 . Corequisite(s):
Weekly Lecture Hours: 6 | Weekly Lab Hours: 0 | Weekly Recitation Hours: 0
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MA-UY 2034 Linear Algebra and Differential Equations 4 Credits
MA-UY 2034 is an introduction to ordinary differential equations and linear algebra. The course develops the techniques for the analytic and numeric solutions of ordinary differential equations (and systems) that are widely used in modern engineering and science. Linear algebra is used as a tool for solving systems of linear equations as well as for understanding the structure of solutions to linear (systems) of differential equations. Topics covered include the fundamental concepts of linear algebra such as Gaussian elimination, Matrix Theory, linear transformations, vector spaces, subspaces, basis, eigenvectors, eigenvalues and the diagonalization of matrices, as well as the techniques for the analytic and numeric solutions of ordinary differential equations (and systems) that commonly appear in modern engineering and science. | Offered every term.
Prerequisite(s): MA-UY 1124 or MA-UY 1132 or MA-UY 1424 .
Note: Not open to students who have taken MA-UY 3044 or MA-UY 3054 or MA-UY 3083 or MA-UY 4204.
Weekly Lecture Hours: 4 | Weekly Lab Hours: 0
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MA-UY 2054 Applied Business Data Analysis I 4 Credits
This course covers applications of theories of random phenomena to problems in business management. Topics include probability theory, discrete and continuous probability distributions, sampling, measures of central value and dispersion, sampling distributions, statistical estimation and introduction to hypothesis testing. Use of statistical software is integrated with the previous topics; examples are drawn from problems in business decision-making. Applications to advanced statistical applications in business management. Emphasis is on application of concepts. Use of statistical software integrated with the previous topics. | Offered in the spring.
Prerequisite(s): MA-UY 1054 or equivalent.
Note: Course required only for Management Majors. Credit for this course may not be used to satisfy the requirements for other majors.
Weekly Lecture Hours: 4 | Weekly Lab Hours: 0 | Weekly Recitation Hours: 0
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MA-UY 2114 Calculus III: Multi-Dimensional Calculus 4 Credits
Vectors in the plane and space. Partial derivatives with applications, especially Lagrange multipliers. Double and triple integrals. Spherical and cylindrical coordinates. Surface and line integrals. Divergence, gradient, and curl. Theorems of Gauss and Stokes. | Offered every term.
Prerequisite(s): MA-UY 1124 or MA-UY 1132 or MA-UY 1424
Weekly Lecture Hours: 4
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MA-UY 2224 Data Analysis 4 Credits
An introductory course to probability and statistics. It affords the student some acquaintance with both probability and statistics in a single term. Topics in Probability include mathematical treatment of chance; combinatorics; binomial, Poisson, and Gaussian distributions; the Central Limit Theorem and the normal approximation. Topics in Statistics include sampling distribution of sample mean and sample variance; normal, t-, and Chi-square distributions; confidence intervals; testing of hypotheses; least squares regression model. Applications to scientific, industrial, and financial data are integrated into the course. | Offered every term.
Prerequisite(s): MA-UY 1124 or MA-UY 1132 or MA-UY 1424
Note: Not open to students who have taken MA-UY 2233 or MA-UY 3012 or MA-UY 3022.
Weekly Lecture Hours: 4
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MA-UY 2233 Introduction to Probability 3 Credits
Standard first course in probability, recommended for those planning further work in probability or statistics. Probability of events, random variables and expectations, discrete and continuous distributions, joint and conditional distributions, moment generating functions, the central limit theorem. | Offered every term.
Prerequisite(s): MA-UY 2114 or MA-UY 2514
Also listed under: ECE-UY 2233
Note: Not open to students who have taken MA-UY 2224 or MA-UY 3012 or MA-UY 3022.
Weekly Lecture Hours: 3
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MA-UY 2314 Discrete Mathematics 4 Credits
Logic, proofs, set theory, functions, relations, asymptotic notation, recurrences, modeling computation, graph theory. | Offered in the fall and the spring.
Prerequisite(s): Math Diagnostic Exam or MA-UY 912 or MA-UY 914 (minimum calculus level required) OR MATH-SHU 110 (for Shanghai Students)
Note: This course and CS-GY 6003 cannot both be taken for credit.
Weekly Lecture Hours: 4 | Weekly Lab Hours: 0 | Weekly Recitation Hours: 0
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MA-UY 2414 Basic Practice of Statistics 4 Credits
We are inundated by data, but data alone do not translate into useful information. Statistics provides the means for organizing, summarizing, and therefore better analyzing data so that we can understand what the data tell us about critical questions. If one collects data then understanding how to use statistical methods is critical, but it is also necessary to understand and interpret all the information we consume on a daily basis. This course provides these basic statistical approaches and techniques. This course may not be acceptable as a substitute for any other Probability and Statistics course. For Sustainable Urban Environments (SUE) students, please see your advisor. | Offered in the fall and the spring.
Prerequisite(s): None
Note: This course does not count towards degree if student has already taken MA-UY 2224 or MA-UY 2054.
Weekly Lecture Hours: 4
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MA-UY 2514 Honors Calculus III 4 Credits
Similar to MA-UY 2114 Calculus III, but at a faster pace and deeper level. Functions of several variables. Vectors in the plane and space. Partial derivatives with applications, especially Lagrange multipliers. Double and triple integrals. Spherical and cylindrical coordinates. Surface and line integrals. Divergence, gradient, and curl. Theorem of Gauss and Stokes. Students pursuing an honors mathematics degree are especially encouraged to consider this course.
Prerequisite(s): (MA-UY 1124 or MA-UY 1424 ) with a grade of A- or better OR a 5 on the AP Calculus BC Exam and Department Permission. Anti-requisite: MA-UY 2114
Weekly Lecture Hours: 4
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MA-UY 3014 Applied Probability 4 Credits
An introduction to the mathematical treatment of random phenomena occurring in the natural, physical, and social sciences. Axioms of mathematical probability, combinatorial analysis, binomial distribution, Poisson and normal approximation, random variables and probability distributions, generating functions, the Central Limit Theorem and Laws of Large Numbers, Markov Chains, and basic stochastic processes | Offered in the fall and spring.
Prerequisite(s): A grade of C or better in (MA-UY 2114 or MA-UY 2514 ) and (MA-UY 2034 or MA-UY 3034 or MA-UY 3044 or MA-UY 3054 ).
Also listed under: MATH-UA 233 Theory of Probability
Note: Not open to students who have taken MA-UY 2224, MA-UY 2233/EE-UY 2233, or MA-UY 3022.
Weekly Lecture Hours: 4
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MA-UY 3034 Applied Linear Algebra 4 Credits
Systems of linear equations, matrices, determinants, vector spaces, eigenvalues and eigenvectors, orthogonality and least squares fit, singular value decompositions, computational techniques, conditioning, pseudo-inverses.
Prerequisite(s): MA-UY 1024 or MA-UY 1324
Weekly Lecture Hours: 4
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MA-UY 3044 Linear Algebra 4 Credits
Systems of linear equations, Gaussian elimination, matrices, determinants, Cramer’s rule. Vectors, vector spaces, basis and dimension, linear transformations. Eigenvalues, eigenvectors, and quadratic forms. Restricted to Tandon math and CS majors and students with a permission code from the math department. Fulfills linear algebra requirement for the BS Math and BS CS degrees. | Offered every term.
Prerequisite(s): A grade of C or better in MA-UY 1022 or MA-UY 1024 or MA-UY 1324 .
Also listed under: MATH-UA 140 Linear Algebra.
Note: Not open to students who have taken MA-UY 1533, MA-UY 2034, MA-UY 3054, or MA-UY 3113.
Weekly Lecture Hours: 4
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MA-UY 3054 Honors Linear Algebra 4 Credits
This honors section of Linear Algebra is intended for well-prepared students who have already developed some mathematical maturity. Its scope will include the usual Linear Algebra (MA-UY 3044 ) syllabus; however, this class will move faster, covering additional topics and going deeper. Vector spaces, linear dependence, basis and dimension, matrices, determinants, solving linear equations, eigenvalues and eigenvectors, quadratic forms, applications such as optimization or linear regression. | Offered in the fall and the spring.
Prerequisite(s): A grade of A- or better in MA-UY 1022 or MA-UY 1024 or MA-UY 1324 .
Also listed under: MATH-UA 148 Honors Linear Algebra.
Note: Not open to students who have taken MA-UY 1533, MA-UY 2034, MA-UY 3044, or MA-UY 3113.
Weekly Lecture Hours: 4
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MA-UY 3113 Advanced Linear Algebra and Complex Variables 3 Credits
This course provides a deeper understanding of topics introduced in MA-UY 2012 and MA-UY 2034 and continues the development of those topics, while also covering functions of a Complex Variable. Topics covered include: The Gram-Schmidt Process, inner product spaces and applications, singular value decomposition, LU decomposition. Derivatives and Cauchy-Riemann equations, integrals and Cauchy integral theorem. Power and Laurent Series, residue theory. | Offered in the fall and the spring.
Prerequisite(s): (MA-UY 2114 or MA-UY 2514 ) and MA-UY 2034 .
Note: Not open to students who have taken MA-UY 1533, MA-UY 3112, or MA-UY 4433.
Weekly Lecture Hours: 3 | Weekly Lab Hours: 0 | Weekly Recitation Hours: 0
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MA-UY 3514 Honors Probability 4 Credits
The aim of this class is to introduce students to probability theory, with a greater emphasis on rigor, more material, and a faster pace than the Theory of Probability/Applied Probability class. The material will include discrete and continuous probability, and the most fundamental limit theorems (law of large numbers and Central Limit Theorem). Students will be made familiar with the classical models, computations on densities, and convergence to universal distributions. They will also be expected to understand the proofs of all the results seen in class, and be able to argue with mathematical rigor.
Prerequisite(s): (MA-UY 2114 or MA-UY 2514 ) with a grade of B+ or better, and (MA-UY 2034 or MA-UY 3034 or MA-UY 3044 or MA-UY 3054) with a grade of B+ or better, and MA-UY 2314 with a grade of B+ or better.
Anti-Requisites: MA-UY 3014.
Also listed under: MATH-UA 238
Note: While B+ or higher is the standard requirement for this course, the department will consider petitions sent to soe.math@nyu.edu if you are on the borderline of that requirement.
Weekly Lecture Hours: 4
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MA-UY 4014 Theory of Numbers 4 Credits
Divisibility and prime numbers. Linear and quadratic congruences. The classical number-theoretic functions. Continued fractions. Diophantine equations. | Offered in the fall.
Prerequisite(s): A grade of C or better in MA-UY 1124 or MA-UY 1132 or MA-UY 1424 .
Also listed under: MATH-UA 248 Theory of Numbers
Weekly Lecture Hours: 4
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MA-UY 4044 Algebra 4 Credits
Introduction to abstract algebraic structures, including groups, rings, and fields. Sets and relations. Congruences and unique factorization of integers. Groups, permutation groups, homomorphisms and quotient groups. Rings and quotient rings, Euclidean rings, polynomial rings. Fields, finite extensions. | Offered in the fall and the spring.
Prerequisite(s): A grade of C or better in (MA-UY 4613 or MA-UY 4614 ) and (MA-UY 3044 or MA-UY 3054 or MA-UY 3113 ), or permission of instructor.
Also listed under: MATH-UA 343 Algebra
Note: Cannot receive credit for both MA-UY 4044 and MA-UY 4054.
Weekly Lecture Hours: 4
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MA-UY 4054 Honors Algebra I 4 Credits
Introduction to abstract algebraic structures, including groups, rings, and fields. Sets and relations. Congruences and unique factorization of integers. Groups, permutation groups, group actions, homomorphisms and quotient groups, direct products, classification of finitely generated abelian groups, Sylow theorems. Rings, ideals and quotient rings, Euclidean rings, polynomial rings, unique factorization. | Offered in the fall.
Prerequisite(s): A grade of B or better in (MA-UY 4613 or MA-UY 4614 ) and (MA-UY 3044 or MA-UY 3054 or MA-UY 3113 ) or instructor permission.
Also listed under: MATH-UA 348 Honors Algebra I
Note: Cannot receive credit for both MA-UY 4044 and MA-UY 4054.
Weekly Lecture Hours: 4
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MA-UY 4064 Honors Algebra II 4 Credits
Fields, finite extensions, constructions with ruler and compass, Galois theory, solvability by radicals. | Offered in the spring.
Prerequisite(s): A grade of C or better in MA-UY 4054 or (a grade of A in MA-UY 4044 and instructor permission).
Also listed under: MATH-UA 349 Honors Algebra II
Weekly Lecture Hours: 4
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MA-UY 4114 Applied Statistics 4 Credits
An introduction to the mathematical foundations and techniques of modern statistical analysis for the interpretation of data in the quantitative sciences. Mathematical theory of sampling; normal populations and distributions; chi-square, t, and F distributions; hypothesis testing; estimation; confidence intervals; sequential analysis; correlation, regression; analysis of variance. Applications to the sciences. Use of Matlab for doing computations of the statistical measures listed above.
Prerequisite(s): MA-UY 3014 or MA-UY 2233 or MA-UY 3514
Weekly Lecture Hours: 4
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MA-UY 4204 Ordinary Differential Equations 4 Credits
A first course in ordinary differential equations, including analytical solution methods, elementary numerical methods, and modeling. Topics to be covered include: first-order equations including integrating factors; second-order equations including variation of parameters; series solutions; elementary numerical methods including Euler’s methods, Runge-Kutta methods, and error analysis; Laplace transforms; systems of linear equations; boundary-value problems. Restricted to Tandon math majors and students with a permission code from the math department. Fulfills ordinary differential equations requirement for the BS Math degree. | Offered in the fall and the spring.
Prerequisite(s): A grade of C or better in (MA-UY 2114 or MA-UY 2514 ) and (MA-UY 3044 or MA-UY 3054 or MA-UY 3113 ).
Also listed under: MATH-UA 262 Ordinary Differential Equations
Note: Not open to students who have taken MA-UY 2034 or MA-UY 3083.
Weekly Lecture Hours: 4
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MA-UY 4214 Applied Ordinary Differential Equations 4 Credits
A first course in ordinary differential equations, including analytical solution methods, elementary numerical methods, and modeling. Topics to be covered include: first-order equations including integrating factors; second-order equations including variation of parameters; series solutions; elementary numerical methods including Euler’s methods, Runge-Kutta methods, and error analysis; Laplace transforms; systems of linear equations; boundary-value problems. Restricted to Tandon math majors and students with a permission code from the math department. Fulfills ordinary differential equations requirement for the BS Math degree.
Prerequisite(s): (MA-UY 2114 or MA-UY 2514 ) and (MA-UY 3034 or MA-UY 3044 or MA-UY 3054 ).
Note: Not open to students who have taken MA-UY 2034 or MA-UY 4204.
Weekly Lecture Hours: 4
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MA-UY 4314 Combinatorics 4 Credits
Techniques for counting and enumeration including generating functions, the principle of inclusion and exclusion, and Polya counting. Graph theory. Modern algorithms and data structures for graph-theoretic problems. | Offered in the spring.
Prerequisite(s): A grade of C or better in MA-UY 1124 or MA-UY 1132 or MA-UY 1424 .
Also listed under: MATH-UA 240 Combinatorics
Weekly Lecture Hours: 4
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MA-UY 4413 Applied Partial Differential Equations 3 Credits
Modeling of physical processes. Classification of equations. Formulation and treatment of boundary- and initial-value problems. Green’s functions. Maximum principle. Separation of variables. Fourier series and integrals. Quasilinear first-order equations and characteristics. D’Alembert solution of wave equation. Conservation laws and shock waves. | Offered in the fall and the spring.
Prerequisite(s): MA-UY 2114 and (MA-UY 3083 or MA-UY 4204 ).
Weekly Lecture Hours: 3 | Weekly Lab Hours: 0 | Weekly Recitation Hours: 0
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MA-UY 4414 Applied Partial Differential Equations 4 Credits
This course gives an overview of PDEs that occur commonly in the physical sciences with applications in heat flow, wave propagation, and fluid flow. Analytical as well as some numerical solution techniques will be covered, with a focus on applications rather than analysis.
Prerequisite(s): MA-UY 2034 or MA-UY 4204 or MA-UY 4214
Weekly Lecture Hours: 4
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MA-UY 4424 Numerical Analysis 4 Credits
In numerical analysis one explores how mathematical problems can be analyzed and solved with a computer. As such, numerical analysis has very broad applications in mathematics, physics, engineering, finance, and the life sciences. This course gives an introduction to this subject for mathematics majors. Theory and practical examples using Matlab will be combined to study a range of topics ranging from simple root-finding procedures to differential equations and the finite element method | Offered in the fall and spring.
Prerequisite(s): A grade of C or better in (MA-UY 2114 or MA-UY 2514 ) and (MA-UY 3034 or MA-UY 3044 or MA-UY 3054 or MA-UY 3113 ).
Also listed under: MATH-UA 252 Numerical Analysis
Weekly Lecture Hours: 4 | Weekly Lab Hours: 0 | Weekly Recitation Hours: 0
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MA-UY 4434 Applied Complex Variables 4 Credits
A first course in complex analysis, with a focus on applications. Topics to be covered include the complex plane, analytic functions, complex differentiation, the Cauchy-Riemann equations, branch cuts, contour integration, the residue theorem, conformal mapping, applications to potential theory and fluid flow.
Prerequisite(s): (MA-UY 2114 or MA-UY 2514 ) and (MA-UY 2034 or MA-UY 3034 or MA-UY 3044 or MA-UY 3054 ).
Note: Not open to students who have taken MA-UY 3113.
Weekly Lecture Hours: 4
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MA-UY 4444 Intro to Math Modeling 4 Credits
Formulation and analysis of mathematical models. Mathematical tools include dimensional analysis, optimization, simulation, probability, and elementary differential equations. Applications to biology, sports, economics, and other areas of science. The necessary mathematical and scientific background will be developed as needed. Students participate in formulating models as well as in analyzing them. | Offered in the fall and the spring.
Prerequisite(s): A grade of C or better in (MA-UY 2114 or MA-UY 2514 ).
Also listed under: MATH-UA 251 Intro to Math Modeling
Note: Not open to students who have taken MA-UY 2393.
Weekly Lecture Hours: 4
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MA-UY 4474 Chaos and Dynamical Systems 4 Credits
Topics will include dynamics of maps and of first order and second-order differential equations, stability, bifurcations, limit cycles, dissection of systems with fast and slow time scales. Geometric viewpoint, including phase planes, will be stressed. Chaotic behavior will be introduced in the context of one-variable maps (the logistic), fractal sets, etc. Applications will be drawn from physics and biology. There will be homework and projects, and a few computer lab sessions (programming experience is not a prerequisite). | Offered in the spring.
Prerequisite(s): A grade of C or better in (MA-UY 1124 or MA-UY 1132 or MA-UY 1424 ) and (MA-UY 3044 or MA-UY 3054 or MA-UY 3113 )
Also listed under: MATH-UA 264 Chaos and Dynamical Systems
Weekly Lecture Hours: 4
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MA-UY 4614 Applied Analysis 4 Credits
Limits of real and complex sequences and series; topology of metric spaces; continuity and differentiability of functions; definition, properties, and approximations of Riemann integrals; convergence of sequences and series of functions; Fourier series and other orthogonal systems of functions, approximations theorems.
Prerequisite(s): (MA-UY 2114 or MA-UY 2514 ) and (MA-UY 2034 or MA-UY 3034 or MA-UY 3044 or MA-UY 3054 ).
Weekly Lecture Hours: 4
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MA-UY 4634 Vector Analysis 4 Credits
Brief review of multivariate calculus: partial derivatives, chain rule, Riemann integral, change of variables, line integrals. Lagrange multipliers. Inverse and implicit function theorems and their applications. Introduction to calculus on manifolds: definition and examples of manifolds, tangent vectors and vector fields, differential forms, exterior derivative, line integrals and integration of forms. Gauss’ and Stokes’ theorems on manifolds. | Offered in the spring.
Prerequisite(s): A grade of C or better in MA-UY 4613 .
Also listed under: MATH-UA 224 Vector Analysis
Weekly Lecture Hours: 4
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MA-UY 4644 Honors Analysis I 4 Credits
This is an introduction to the rigorous treatment of the foundations of real analysis in one variable. It is based entirely on proofs. Students are expected to know what a mathematical proof is and are also expected to be able to read a proof before taking this class. Topics include: properties of the real number system, sequences, continuous functions, topology of the real line, compactness, derivatives, the Riemann integral, sequences of functions, uniform convergence, infinite series and Fourier series. Additional topics may include: Lebesgue measure and integral on the real line, metric spaces, and analysis on metric spaces. | Offered in the fall.
Prerequisite(s): A grade of B or better in (MA-UY 2114 or MA-UY 2514 ) and (MA-UY 3044 or MA-UY 3054 or MA-UY 3034 or MA-UY 3113 )
Also listed under: MATH-UA 328
Weekly Lecture Hours: 4
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MA-UY 4654 Honors Analysis II 4 Credits
This is a continuation of MATH-UA 328 Honors Analysis I/MA-UY 4644 Honors Analysis I . Topics include: metric spaces, differentiation of functions of several real variables, the implicit and inverse function theorems, Riemann integral on Rn, Lebesgue measure on Rn, the Lebesgue integral. | Offered in the spring.
Prerequisite(s): A grade of C or better in MA-UY 4644 or a grade of A in MA-UY 4614 in conjunction with permission by instructor.
Also listed under: MATH-UA 329
Weekly Lecture Hours: 4
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MA-UY 4674 Differential Geometry 4 Credits
The geometry of curves and surfaces in Euclidean space. Frenet formulas, the isoperimetric inequality, local theory of surfaces in Euclidean space, first and second fundamental forms. Gaussian and mean curvature, isometries, geodesics, parallelism, the Gauss-Bonnet Theorem. | Offered in the spring.
Prerequisite(s): A grade of C or better in (MA-UY 2114 or MA-UY 2514 ) and (MA-UY 3044 or MA-UY 3054 or MA-UY 3113 ).
Also listed under: MATH-UA 377 Differential Geometry
Note: Not open to students who have taken MA-UY 3303.
Weekly Lecture Hours: 4
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MA-UY 4993 B.S. Thesis in Mathematics 3 Credits
The course provides the framework for a bachelor’s thesis. In the Bachelor’s thesis, a student reports on an independent investigation of a topic in Mathematics that demonstrates an in-depth knowledge of that area of Mathematics and proficiency in using its specific methods. | Offered periodically.
Prerequisite(s): Departmental adviser’s approval.
Weekly Lecture Hours: 3 | Weekly Lab Hours: 0 | Weekly Recitation Hours: 0
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ME-GY 996X MS Project in Mechanical Engineering variable Credits
This course is an engineering project under faculty guidance. A written project proposal and final report must be submitted to the department head and the adviser and may be extended to a thesis with the project adviser’s recommendation. Credit only upon completion of project.
Prerequisite(s): Degree status.
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ME-GY 997X MS Thesis in Mechanical Engineering variable credit Credits
The master’s thesis presents results of original investigation in the student’s specialty. This effort can be an extension of ME-GY 996X , with approval of the project adviser. Continuous registration is required. Maximum of 9 credits of ME-GY 996X /ME 997x are counted toward the degree.
Prerequisite(s): Degree status.
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ME-GY 999X PhD Dissertation in Mechanical Engineering 3 Credits
The doctoral dissertation demonstrates independent study and original contributions in the specialization. Oral examination on subject of dissertation and related topics is required. Also required is a minimum of 24 credits and continuous registration at minimum of 3 credits per semester until the dissertation is completed.
Prerequisite(s): Passing grade for RE-GY 9990 PhD Qualifying Exam , graduate standing, and dissertation advisor approval
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ME-GY 5103 Biomedical Fluid Dynamics 3 Credits
The course focuses on principles of fluid flow and transport in the human body, emphasizing vascular circulation and hemodynamics. Topics include: physics of pulsatile flow, introductory biology and physiology of the circulatory system, blood flow in vessels, microcirculation, blood rheology, fluid dynamics of vasculature under physiological and pathological conditions, mass transport to vessel walls, mechanics of blood cells, cellular mechanotransduction and biochemical signaling and microfluidics in biomedical devices.
Prerequisite(s): Adviser approval.
Weekly Lecture Hours: 3 | Weekly Lab Hours: 0 | Weekly Recitation Hours: 0
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ME-GY 5243 Composite Materials 3 Credits
This course introduces modern polymeric, metallic and ceramic composite materials, fabrication techniques, mechanical property characterization. Topics: Introduction to matrix and reinforcement materials, material selection and composite design criteria. Mechanics based analysis of continuous fiber reinforced unidirectional plies and woven fabrics. Applications of advanced composites in car, aircraft, construction and sports industries.
Prerequisite(s): Adviser approval.
Weekly Lecture Hours: 3 | Weekly Lab Hours: 0 | Weekly Recitation Hours: 0
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ME-GY 5253 Physics of Nanomaterials and Graphene 3 Credits
An introductory graduate course for science and engineering students on the basic properties, preparations and applications of Nanomaterials and Graphene. This course will emphasize forms of carbon, including graphitic carbon composites that are a leading structural material in aircraft; and diamond, carbon black, activated charcoal, carbon nanotubes and graphene. Review of the Schrodinger equation as applied to carbon atoms, to diamond, to graphite and to graphene. Trigonal planar bonding as distinguished from tetrahedral bonding. Methods of making graphene including chemical vapor deposition, exfoliation of graphite. Application of graphene as transparent conductor in solar cells and opto-electronic devices.
Prerequisite(s): PH-UY 2033 or Graduate Standing
Also listed under: PH-GY 5543
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ME-GY 5443 Vibrations 3 Credits
The course looks at the dynamics of one-, twoand multi-degree of freedom systems with and without damping. Topics: Vibrations of distributed parameter systems: bars, beams and plates. Numerical methods. Introduction to nonlinear oscillations.
Prerequisite(s): Adviser approval.
Weekly Lecture Hours: 3 | Weekly Lab Hours: 0 | Weekly Recitation Hours: 0
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ME-GY 5653 Microelectromechanical Systems 3 Credits
The course covers materials for MEMS, fundamentals of solid mechanics, electrostatics and electromagnetics. Topics: Electromechanical modeling and design of micromachined sensors and actuators. Microscale physics of microsystems. Overview of MEMS applications. Packaging and testing.
Prerequisite(s): Adviser approval.
Weekly Lecture Hours: 3 | Weekly Lab Hours: 0 | Weekly Recitation Hours: 0
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ME-GY 5813 Research & Design Methodology & Communication 3 Credits
This course is targeted to students at the undergraduate senior level or graduate (Master of Science) level, who wish to enhance their skills in the methodology of research and design, and in communicating their results and ideas in multi-disciplinary settings. The course will present a unified approach to research, design, and communication; and show that there is a continuum from fundamental research to the art of technical promotion. Written assignments, individual presentations, role play, and class discussions will be used as vehicles for accomplishing the educational goals of this course.
Prerequisite(s): Senior (with 3.4 GPA) or Graduate standing
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ME-GY 5913 Mechatronics 3 Credits
The course introduces theoretical and applied mechatronics, design and operation of mechatronics systems; mechanical, electrical, electronic and optoelectronic components; sensors and actuators, including signal conditioning and power electronics; microcontrollers, fundamentals, programming and interfacing; and feedback control. The course includes structured and term projects in designing and developing f prototype integrated mechatronic systems.
Prerequisite(s): Adviser approval.
Weekly Lecture Hours: 3 | Weekly Lab Hours: 0 | Weekly Recitation Hours: 0
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ME-GY 6003 Applied Mathematics in Mechanical Engineering 3 Credits
Vector and tensor calculus. Ordinary differential equations. Laplace and Fourier Transforms. Sturm-Liouville problems. Partial differential equations. Applications to structural analysis, fluid mechanics and dynamical systems.
Prerequisite(s): Adviser approval.
Weekly Lecture Hours: 3 | Weekly Lab Hours: 0 | Weekly Recitation Hours: 0
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ME-GY 6013 Thermodynamics 3 Credits
The course covers availability functions, general thermodynamic relations, equations of state, general thermodynamic equilibrium criteria, power production, thermodynamics of reacting systems, energy of formation, chemical equilibrium, applications in combustion systems.
Prerequisite(s): Adviser approval.
Weekly Lecture Hours: 3 | Weekly Lab Hours: 0 | Weekly Recitation Hours: 0
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ME-GY 6043 Thermal Engineering Fundamentals 3 Credits
Presentation of basic scientific and engineering principles that all energy systems must satisfy, including thermodynamic, fluid mechanic and heat transfer principles that constrain or facilitate energy systems.
Prerequisite(s): Graduate Standing or Advisor approval.
Weekly Lecture Hours: 3 | Weekly Lab Hours: 0 | Weekly Recitation Hours: 0
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ME-GY 6153 Thermodynamics of HVAC Systems 3 Credits
Principles of thermodynamics. Description of HVAC systems. Vapor compression and adsorption cycles. Heat pump cycles. Geothermal systems. Solar heating and cooling systems. Phychometric analysis for design and off-design conditions. Indoor environmental quality anaylsis. Green and sustainable systems.
Prerequisite(s): ME-UY 3333 or advisor approval
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ME-GY 6163 Fluid Mechanics for HVAC Systems 3 Credits
Fundamentals of fluid mechanics. Centrifugal pumps and system-pump characteristics. Piping systems fundamentals and design.Jets and air diffusers. Fans, fan performance, installation and testing. Duct sizing and design. Design of sprinkler systems.
Prerequisite(s): ME-UY 3313 or advisor approval.
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ME-GY 6173 Heat Transfer for HVAC Systems 3 Credits
Fundamentals of heat transfer. Solar radiation fundamentals. Heat transmission in buildings and space heat load calculations. Space cooling load calculations. Energy calculations; degree by day procedure, bin methods and building simulation methods. Energy modeling and conformance with NYS Code. Extended surface heat exchangers. LEED Score sheet and design for green buildings.
Prerequisite(s): ME-UY 4313 or advisor approval.
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ME-GY 6183 Design of HVAC Systems 3 Credits
This course involves the dynamic and sustainable design process to perform a complete design of HVAC systems for a commercial or residential building using state of the art software and processes. Design schematic phase. Design development phase. Construction documents phase. Students work on a specific project, designing a system through all stages.
Prerequisite(s): ME-UY 4313 or advisor approval.
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ME-GY 6213 Introduction to Solid Mechanics 3 Credits
The course explores fundamentals of kinematics of solid bodies; displacement and strain measures, introduction to statics of solid bodies, stress tensor, equilibrium equations. Topics include analysis of columns, beams and beams on elastic foundations.
Prerequisite(s): Adviser approval.
Weekly Lecture Hours: 3 | Weekly Lab Hours: 0 | Weekly Recitation Hours: 0
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ME-GY 6223 Advanced Mechanics of Materials 3 Credits
The course discusses two-dimensional stress and strain analysis, applications of energy methods, Reyleighitz method. Topics: Applications of energy methods to beams, frames, laminates and sandwich structures. Torsion of prismatic bars, open and closed thin-walled cylinders, unsymmetric bending and shear center, curved bars.
Prerequisite(s): ME-GY 6213 or adviser approval.
Weekly Lecture Hours: 3 | Weekly Lab Hours: 0 | Weekly Recitation Hours: 0
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ME-GY 6243 Atomistic and Electronic Simulation of Materials 3 Credits
Simulation is an important tool, which complements experimental characteristics of materials by providing fundamental details at electronic, atomic, mesoscale, and macroscale resolution. This fundamental understanding then guides the experimental approach to modify the properties of the materials with a rational approach rather than stochastic approach. This course primarily focuses on predicting structure-property correlation of various materials using electronic and atomic level simulations. The course will cover density functional theory (DFT), molecular dynamic (MD) and monte carlo (MC) simulations with hands on projects using available software.
Prerequisite(s): Graduate Standing
Weekly Lecture Hours: 3
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ME-GY 6253 Mechanics of Nanomaterials 3 Credits
The course introduces nanosized and nanoscale materials: nanoparticles, nanotubes, nanowires, nanorods. Topics: Classical molecular dynamics, lattice mechanics, methods of thermodynamics and statistical mechanics, introduction to multiple scale modeling and introduction to bridging scale. Characterization techniques for nanomaterials. Applications in nanosystems such as nanocars, nanobots and nanoelectronics.
Prerequisite(s): Adviser approval.
Weekly Lecture Hours: 3 | Weekly Lab Hours: 0 | Weekly Recitation Hours: 0
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ME-GY 6263 Mechanical Behavior of Materials 3 Credits
Analyze the effect of applied external load on the deformation of a material is critical for engineering design and the performance of materials during application. Response of the a material to the applied load at the atomic and microstructural level is analyzed. This course focuses on elastic vs. plastic deformation, defects and dislocations, various strengthening mechanisms, creep and fatigue response in materials.
Prerequisite(s): Graduate Standing
Weekly Lecture Hours: 3
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ME-GY 6323 Microscopy & Microanalysis 3 Credits
Foundations of materials characterization. theory of scanning electron microscopy. Practical aspects, data collection, and imaging using Scanning Electron Microscope (SEM). Theory of X-ray Diffraction (XRD). Quantitative and qualitative phase analysis of materials using XRD. X-ray emission and chemical analysis using EDS. Sample preparation for SEM, EDS and XRD observations. Data analysis, image/data processing and data interpretation of electron microscopy and XRD spectra.
Prerequisite(s): Prerequisite: Graduate standing
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ME-GY 6413 Additive Manufacturing Fundamentals 3 Credits
Additive manufacturing (AM), also known as 3D printing, is the fastest growing industrial field. Numerous examples are available where components manufactured by AM methods are now put into service. This course will focus on fundamentals of AM techniques and will take a broad view on the new possibilities enabled by the new manufacturing methods.
Prerequisite(s): Graduate Standing
Weekly Lecture Hours: 3
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ME-GY 6423 Additive Manufacturing of Metallic Materials 3 Credits
Additive manufacturing (AM), also known as 3D printing, is the fastest growing industrial field. Numerous examples are available where components manufactured by AM methods are now put into service. This course will focus on one of the largest share of materials used in current industrial scale 3D printing, i.e., metals. The topics will cover the basic characteristics of metals and alloys through discussion of powder characterization, phase diagram, and microstructure to relate them to additive manufacturing process and properties of the manufactured parts. The course will also discuss the applications of metal 3D printed parts and future opportunities.
Prerequisite(s): Graduate Standing
Weekly Lecture Hours: 3
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ME-GY 6433 CAD for Additive Manufacturing 3 Credits
The course will cover the topics of CAD solid modeling that are relevant to additive manufacturing (3D printing). SolidWorks software will be used in the class. The students will be able to understand how CAD models developed for additive manufacturing may differ from the models developed for visualization. Some of the developed models will be printed to examine the quality of the product and observe the effects of various concepts discussed in the class. Prior knowledge of any CAD software will be beneficial for the course.
Prerequisite(s): Graduate Standing
Weekly Lecture Hours: 3
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ME-GY 6453 Security in Additive Manufacturing 3 Credits
The course will cover the topics of security strategies in additive manufacturing (AM). A completely digital process chain is exposed to significant cybersecurity risks from internal or external malicious players for sabotage and intellectual property theft. Also, product counterfeiting is possible by reverse engineering. Such concerns require new security strategies that are unique to AM process chain. The course will cover threat models, security strategies and industrial scenarios related to security in AM.
Prerequisite(s): Graduate Standing
Weekly Lecture Hours: 3
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ME-GY 6513 Advanced Dynamics 3 Credits
The course covers kinematics and dynamics of a particle in space. Topics: Systems of particles. Two-body central force problem. Kinematics and dynamics of rigid bodies. Euler’s equations. Euleragrange equations with holonomic and nonholonomic constraints. Stability analysis. Introduction to calculus of variations. Hamilton’s principle. Hamilton’s equations.
Prerequisite(s): Adviser approval.
Weekly Lecture Hours: 3 | Weekly Lab Hours: 0 | Weekly Recitation Hours: 0
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ME-GY 6603 Digital Control Systems 3 Credits
The course introduces digital systems, signal conversion techniques, z-transform and inverse z-transform, transfer function and block diagrams, state-variable techniques, controllability, observability, stability and control design techniques.
Prerequisite(s): Adviser approval.
Weekly Lecture Hours: 3 | Weekly Lab Hours: 0 | Weekly Recitation Hours: 0
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ME-GY 6613 Sensor Based Robotics 3 Credits
Topics in this course include robot mechanisms, robot arm kinematics (direct and inverse kinematics), robot arm dynamics (Euler Lagrange, Newton-Euler and Hamiltonian Formulations), six degree-of-freedom rigid body kinematics and dynamics, quaternion, nonholonomic systems, trajectory planning, various sensors and actuators for robotic applications, end-effector mechanisms, force and moment analysis and introduction to control of robotic manipulators.
Prerequisite(s): Graduate status or adviser approval.
Also listed under: ECE-GY 5223 .
Weekly Lecture Hours: 3 | Weekly Lab Hours: 0 | Weekly Recitation Hours: 0
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ME-GY 6623 Introduction to Robot Mechanics 3 Credits
Robot components and types, and their mathematical modeling. Spatial description of position and orientation. Types and modeling of robotic joints. Differential rotation and translations. Forward and inverse kinematics Homogeneous transformation. Denavit-Hartenberg kinematic convention. Jacobian and mapping. Manipulator statics and dynamics. Robot mechanism design. Power train and transmission. Motion planning and control. Kinematic/kinetic redundancy and optimaization. Locomotion and balancing. Biomimetics and humanoids.
Prerequisite(s): Prerequisites: ME 3223 and ME 3413, or instructor’s consent.
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ME-GY 6703 Linear Control Theory and Design I 3 Credits
The course covers modeling of mechanical systems (e.g., mechatronic, vibrational, robotic and smart systems) in state-space. Topics: Description and analysis of linear mechanical systems, transform and transition matrix methods and properties such as stability, controllability/ stabilizability, observability/ detectability.
Prerequisite(s): Graduate standing or advisor approval.
Weekly Lecture Hours: 3 | Weekly Lab Hours: 0 | Weekly Recitation Hours: 0
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ME-GY 6713 Linear Control Theory and Design II 3 Credits
The course considers fundamentals of system realizations and random processes. Topics: Performance objectives for mechanical systems (e.g., mechatronic, vibrational, robotic and smart systems). Optimal design of state feedback controllers, observers and output feedback controllers for mechanical systems.
Prerequisite(s): Adviser approval.
Weekly Lecture Hours: 3 | Weekly Lab Hours: 0 | Weekly Recitation Hours: 0
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ME-GY 6813 Energy Conversion Systems 3 Credits
This course provides description and analysis of current and future energy systems including fuel sources, energy harvesting, energy delivery to the point of conversion, energy conversion to heat or electricity, distribution to end users, basic economics of power plant and environmental impact. Security, reliability and life cycle cost considerations are reviewed and analyzed for impact on selecting the optimum energy systems.
Prerequisite(s): Graduate Standing
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ME-GY 6823 Energy Policy, Regulations, and Incentives 3 Credits
This course focuses on impact of local, state and national policy on energy choices. Regulatory limitations and incentives influencing energy options and economics. Quantitative trade off analyses of various technically feasible options when policies, regulations and incentives are considered. Environmental impact, positive as well as negative, of energy systems are analyzed. Costs of mitigating negative environmental impact are reviewed and their impact on the choice of a system is analyzed through case studies presented in term papers.
Prerequisite(s): Graduate Standing
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ME-GY 6833 Energy Project Financing 3 Credits
Analysis of current and projected fuel costs, capital costs, maintenance costs, operating and environmental costs, and infrastructure costs of various competing energy systems. A term project providing an in-depth analysis of one candidate system is required. Student teams present the results of their work advocating for their system. A panel of judges will decide which group makes the best case for its system.
Prerequisite(s): ME-GY 6823
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ME-GY 6843 Advanced Manufacturing of Biomedical Devices 3 Credits
This course aims to provide the essential knowledge in the biomedical product development (e.g. material properties, fabrication processes and design techniques for different applications) in order to provide ways to speed up the product development cycle. This course is multidisciplinary and covers the principles in its mechanical, chemical, biological, and physiological aspects. Students can learn the techniques for applying this acquired knowledge to particular applications in which they are interested.
Prerequisite(s): ME-UY 2813 Introduction to Materials Science and ME-UY 3213 Mechanics of Materials or equivalent.
Weekly Lecture Hours: 3
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ME-GY 6913 Introduction to Robot Mechanics 3 Credits
Robot components and types, and their mathematical modeling. Spatial description of position and orientation. Types and modeling of robotic joints. Differential rotation and translations. Forward and inverse kinematics. Homogeneous transformation. Denavit-Hartenberg kinematic convention. Jacobian and mapping. Manipulator statics and dynamics. Robot mechanism design. Power train and transmission. Motion planning and control. Kinematic/kinetic redundancy and optimization. Locomotion and balancing. Biomimetics and humanoids.
Prerequisite(s): ME-UY 3223 and ME-UY 3413 or instructor’s consent (for undergraduates) or Graduate Standing
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ME-GY 6923 Simulation Tools for Robotics 3 Credits
The student who completes this course will gain an advanced understanding of the principles underlying simulation of dynamical systems, with particular reference to mechatronics and robotic systems. He/she will be able to use modern tools for simulation of mechatronics and robotic systems. Moreover, he/she will be able to design and implement control algorithms and assess their performance on the simulated systems.
Prerequisite(s): Graduate Standing
Also listed under: ECE-GY 5223
Weekly Lecture Hours: 3
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ME-GY 6933 Advanced Mechatronics 3 Credits
Introduction to, applications of, and hands-on experience with microcontrollers and single-board computers for embedded system applications. Specifically, gain familiarity with the fundamentals, anatomy, functionality, programming, interfacing, and protocols for the Arduino microcontroller, multi-core Propeller microcontroller, and single-board computer Raspberry Pi. Includes mini-projects and term projects in the design and development of proto-type integrated mechatronic systems.
Prerequisite(s): ME-GY 5643
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ME-GY 7003 Finite Element Methods 3 Credits
The course explores derivation of element stiffness matrices for spring, bar and beam elements. Topics: Finite element formulation to determine many unknowns such as displacements, forces and reactions. Application to trusses, frames and two-dimensional problems in plane stress and plane strain under static loading conditions. Applications in thermal, heat transfer and fluid mechanics. Interpreting the results, convergence of solution and effect of meshing and symmetry conditions. Introduction to modern meshless techniques.
Prerequisite(s): Adviser approval.
Weekly Lecture Hours: 3 | Weekly Lab Hours: 0 | Weekly Recitation Hours: 0
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ME-GY 7063 Convective Heat Transfer 3 Credits
The course examines developments and applications of laminar hydrodynamic and thermal boundary layer equations for fluid media. Topics: Mechanics of turbulence; formulation and analysis of turbulent hydrodynamics and thermal applications; natural convection and film evaporation and condensation.
Prerequisite(s): ME-GY 6043 or adviser approval.
Weekly Lecture Hours: 3 | Weekly Lab Hours: 0 | Weekly Recitation Hours: 0
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ME-GY 7073 Conductive Heat Transfer 3 Credits
This course covers theoretical development of transient and steady-state temperature distributions in finite and infinite solids. Topics: Pertinent mathematical techniques introduced as required. Solids undergoing phase change and two dimensional fields.
Prerequisite(s): ME-GY 6003 and ME-GY 6043 or adviser approval.
Weekly Lecture Hours: 3 | Weekly Lab Hours: 0 | Weekly Recitation Hours: 0
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ME-GY 7083 Radiative Heat Transfer 3 Credits
This course covers fundamentals of radiative mechanisms of energy transfer. Topics: Definitions of basic qualities. Equations of transfer, radiative heat flux vector and conservation equations. Properties of surfaces and participating media. Applications to engineering systems.
Prerequisite(s): ME-GY 6003 and ME-GY 6043 or adviser approval.
Weekly Lecture Hours: 3 | Weekly Lab Hours: 0 | Weekly Recitation Hours: 0
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ME-GY 7113 Viscous Flow and Boundary Layers 3 Credits
The course introduces molecular and macroscopic transport. Topics: Reynold’s transport theorem.Concepts of stress and strain and derivation of the Navier-Stokes equations. Similarity principle. Exact solutions to the Navier-Stokes equations. Low Reynolds number flows. Boundary layer theory. Momentum integral equation. Introduction to turbulence.
Prerequisite(s): ME-GY 6003 and ME-GY 6043 or adviser approval.
Weekly Lecture Hours: 3 | Weekly Lab Hours: 0 | Weekly Recitation Hours: 0
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