Here's a look at what your schedule might look like as you pursue a Bachelor of Science in Mathematics at the School of Engineering.

- 4 Credits Calculus I for Engineers MA-UY 1024
- 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 rule, the chain rule, applications of the chain rule, maxima and minima, optimization. MA 1324 is for students who wish to take MA 1024 but need more review of precalculus. MA1324 covers the same material as MA1024 but with more contact hours a week, incorporating a full discussion of the required precalculus topics.

Prerequisite: Placement Exam or MA-UY 912 or MA-UY 914. Corequisite: EX-UY 1

or

- 4 Credits Integrated Calculus I for Engineers MA-UY 1324
- 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.

Prerequisite: Placement Exam or MA-UY 912 or MA-UY 914. Corequisite: EX-UY 1.

- 2 Credits The Art of Mathematics MA-UY 1002
- This is an introductory course about Mathematics. Areas of Mathematics. History of Mathematics. Mathematical Methods. Great Mathematicians. Famous open and solved mathematical problems. The study of Mathematics. Mathematical Software.

Prerequisite: Only first-year students are permitted to enroll in this introductory level course. - 4 Credits General Chemistry for Engineers CM-UY 1004
- This is a one-semester introductory course in general chemistry. It covers chemical equations, stoichiometry, thermodynamics, gases, atomic and molecular structure, periodic table, chemical bonding, states of matter, chemical equilibrium, organic, inorganic and polymeric materials and electrochemistry.

Corequisite: EX-UY 1 - 4 Credits Writing the Essay: EXPOS-UA 1
- This foundational writing course is required for CAS, Stern, Nursing, Social Work, Steinhardt and Tandon incoming undergraduates. Writing The Essay provides instruction and practice in critical reading, creative and logical thinking, and clear, persuasive writing. Students learn to analyze and interpret written texts, to use texts as evidence, to develop ideas, and to write exploratory and argumentative essays. Exploration, inquiry, reflection, analysis, revision, and collaborative learning are emphasized. In Spring, sections 1-6 are, with department consent, available for undergraduates interested in writing about the Sciences. Students should email EWP for access codes. Sections 9-72 are regular Spring sections for undergraduates, excluding sections 66,67 which are for Tandon students in Brooklyn. In Fall, sections 16-125 are available to incoming undergraduates on the WSQ campus and sections 126-167 are available to incoming undergraduates on the BROOKLYN campus. Students are NOT permitted to add or switch sections after the first week of classes without first obtaining EWP permission. Contact: dm1@nyu.edu Two special versions requiring department consent are available to qualifying undergraduates. Writing the Essay, Science (sections 1-7 offered both Fall and Spring) is tailored for UA students with a STRONG interested in science, medicine or psychology. Students must contact an advisor to discuss this option and obtain access. Writing The Essay, Goddard (sections 8-13, offered in Fall only) is offered ONLY for students who live in the Goddard Residential College. Writing the Essay, Rubin (sections 14-15, offered in Fall only) is offered ONLY for students who have been selected for the Rubin Themed Writing the Essay Community. Students placed in these sections will receive instructions for enrollment.
- 1 Credits Engineering and Technology Forum EG-UY 1001
- In this course the notion of invention, innovation and entrepreneurship (i2e) is introduced to the students’ educational experience. Students will be exposed to elements of a research-intensive institution and diverse research performed by leading engineers, scientists, inventors and entrepreneurs.

- 4 Credits Calculus II for Engineers MA-UY 1124
- This course covers definite integrals, theorems about integrals, anti-derivatives, second fundamental theorem of calculus, 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.

Prerequisites: MA-UY 1024 or MA-UY 1324 (B or better) or MA-UY 1022 or MA-UY 1322 (B or better).

Corequisite: EX-UY 1.

or

- 4 Credits Integrated Calculus II for Engineers MA-UY 1424
- This course 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.

Prerequisites: For MA-UY 1124: MA-UY 1024 or MA-UY 1324; for MA-UY 1424: MA-UY 1324 or MA-UY 1024 or MA-UY 1022 or MA-UY 1322. Note: credit for this course may be used to satisfy the minimum credit requirement for graduation. Corequisite: EX-UY 1

- 3 Credits Mechanics PH-UY 1013
- This course is the first of a three-semester lecture sequence in general physics for science and engineering students. Motion of particles and systems of particles. One-dimensional motion. Vectors and two-dimensional motions. Forces and acceleration. Conservation of energy and momentum. Rotations. The free and driven harmonic oscillator. Gravitation. (This class meets four hours per week for lectures and recitation.)

Prerequisites: MA-UY 1024 or an approved equivalent. Corequisites: MA-UY 1124 or approved equivalent, and EX-UY 1 - 4 Credits The Advanced College Essay EXPOS-UA 2
- The course follows Writing the Essay (EW 1013) and provides advanced instruction in analyzing and interpreting written texts from a variety of academic disciplines, using written texts as evidence, developing ideas, and writing argumentative essays. It stresses analysis, argument, reflection, revision, and collaborative learning.

Prerequisite(s): EW 1013 - 4 Credits Introduction to Programming & Problem Solving CS-UY 1114
- This course introduces problem solving and computer programming and is for undergraduate Computer Science and Computer Engineering majors who have limited prior experience in programming in any language. The course covers fundamentals of computer programming and its underlying principles using the Python programming language. Concepts and methods introduced in the
course are illustrated by examples from various disciplines. ABET competencies: a,b,c, e, f, g, k

Corequisite: EX-UY 1

- MA-UY 153 (Please refer to the bulletin)
- 3 Credits Electricity, Magnetism, & Fluids PH-UY 2023
- This is the second course of a three-semester lecture sequence in general physics for science and engineering students. Fluids at rest and in motion. An introduction to electric and magnetic forces and fields. Electric charge density. Electric fields from simple charge distributions. Electric potential. Capacitance.
Magnetic forces. Magnetic field from a current loop. Inductance. Magnetism
in matter. Current and resistance. (This class meets four hours per week for lectures and recitation.)

Prerequisites: PH-UY 1013 and MA-UY 1124 or an approved equivalent. Co-requisite: PH-UY 2121 General Physics Laboratory I, and EX-UY 1 - 1 Credits General Physics Laboratory I PH-UY 2121
- PH-UY 2121 General Physics Laboratory I (0.5:1:0:1). An introductory level experimental course. Fundamental laboratory experiments in classical mechanics and electrostatics. Stresses basic experimental techniques, error analysis, and written presentation of experiment results. Experiments require progressively more detailed and sophisticated analysis. This laboratory class meets for three hours on alternate weeks.

Prerequisites: PH-UY 1013 and MA-UY 1124 or equivalent. Co-requisite: PH-UY 2023.

Engineering Course #1, Credits: 3.00

- 4 Credits Calculus III: Multi-Dimensional Calculus MA-UY 2114
- 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. Theorems of Gauss and Stokes.

Prerequisite: MA-UY 1124, MA-UY 1424, or MA-UY 1132. - 3 Credits Waves, Optics, & Thermodynamics PH-UY 2033
- This is the third course of a three-semester lecture sequence in general physics for science and engineering students. Water, sound and electromagnetic waves. Reflection, scattering and absorption. Standing waves and spectra. Superposition, diffraction and beats. Geometrical optics. Introduction to thermodynamics; temperature, heat, and entropy. (This class meets four hours per week for lectures and recitation.)

Prerequisites: PH-UY 2121 and PH-UY 2023. Co-requisites: PH-UY 2131, and EX-UY 1. - 1 Credits General Physics Laboratory II PH-UY 2131
- PH 2131 General Physics Laboratory II (0.5:1:0:1). The second part of the introductory physics laboratory program. Fundamental laboratory experiments in E&M, waves, optics, and thermodynamics. Stresses experimental models and design, error and data analysis. This laboratory class meets for three hours on alternate weeks.

Prerequisites: PH-UY 2121 and PH-UY 2023. Corequisite: PH-UY 2033

Engineering Course #2, Credits: 3.00

- 3 Credits Analysis I MA-UY 4613
- This course covers the study of basic topics in analysis with emphasis on methods. Sequences, series, functions, uniform convergence, continuity, partial differentiation, extreme value problems with constraints, Riemann integrals, line integrals, improper integrals, integrals with parameters, transformations, Riemann-Stieltjes integral, uniform and absolute convergence of integrals. Beta and Gamma functions.

Prerequisites: MA-UY 2122 or MA-UY 2114 and MA-UY 2132 or MA-UY 2034. - 3 Credits Diff Equat & Num Methods MA-UY 108

Engineering Course #3, Credits: 3.00

Free Elective #1, Credits: 3.00

- 3 Credits Introduction to Probability MA-UY 2233
- 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 distribution, joint and conditional distribution, moment generating functions, central limit theorem.

Prerequisites: MA-UY 109, MA-UY 2112, OR MA-UY 2114. Note: Not open to students who have taken MA-UY 3012 or MA-UY 3022. - 3 Credits Applied Partial Differential Equations MA-UY 4413
- Modeling of physical processes. Classification of equations. Formulation and treatment of boundary- and initial-value problems. Greens functions. Maximum principle. Separation of variables. Fourier series and integrals. Quasilinear first-order equations and characteristics. DAlembert solution of wave equation. Conservation laws and shock waves.

Prerequisites: MA-UY 108 or Departmental adviser’s approval. - 3 Credits Complex Variables MA-UY 4433
- This course covers: Functions of a complex variable. Derivatives and Cauchy-Riemann equations. Integrals and Cauchy integral theory. Power and Laurent series. Residue theory. Conformal mappings. Schwarz-Christoffel transformations.

Prerequisites: MA-UY 2132 and MA-UY 3112.

Engineering Course #4, Credits: 3.00

- 3 Credits Introduction to Mathematical Statistics MA-UY 4113
- Standard first course in mathematical statistics, recommended for those planning to take advanced courses in statistics. Sampling distributions, tests of hypotheses, significance tests, point and interval estimation, regression and analysis of variance.

Prerequisites: MA-UY 2233. - 3 Credits Introductory Numerical Analysis MA-UY 4423
- This course covers: Polynomial interpolation and approximation of functions. Divided differences. Least-squares data fitting, orthogonal polynomials. Numerical differentiation and integration. Solution of nonlinear equations. Gaussian elimination, pivoting, iterative refinement, conditioning of matrices. Numerical solution of ordinary differential equations.

Prerequisites: MA-UY 2132, MA-UY 2034 or MA-UY 108.

Free Elective #2, Credits: 3.00

Engineering Course #5, Credits: 3.00

- MA-UY 239 (Please refer to the bulletin)

Math Elective #3, Credits: 3.00

Free Elective #3, Credits: 3.00

Free Elective #4, Credits: 3.00

- 2 Credits Introduction to Chemical & Biomolecular Engineering CBE-UY 1002
- This course introduces the chemical and biomolecular engineering profession, its history and its career potential. The course containsselected topics on basic chemical and biomolecular engineering, plant visits, and seminars covering the full range of chemical and biomolecular engineering profession from
emerging areas to those found in more traditional positions.

Prerequisites: CM-UY 1004, EG-UY 1003 and First-year standing - 4 Credits Analysis of Chemical and Biomolecular Processes CBE-UY 2124
- This course prepares students to formulate and solve material and energy balances on chemical and biomolecular process systems and lays the foundation for subsequent courses in thermodynamics, unit operations, kinetics and process dynamics, and control. The course introduces the fundamental engineering approach to problem solving: breaking down a process into its components, establishing the relations between known and unknown process variables, assembling the information needed to solve for the unknowns and, finally, obtaining the solution using relevant computational methods.

Prerequisites: CM-UY 1004 and MA-UY 1024 (B- or better). - 3 Credits Chemical and Biomolecular Engineering Thermodynamics CBE-UY 3153
- The course covers thermodynamics of flow systems. Topics include properties of fluids with advanced equations of state; properties of non-ideal mixtures; activity-coefficient models for non-electrolyte and electrolyte solutions; phase-equilibrium calculations at low and elevated pressures by computer procedures; and chemical reaction equilibria.

Prerequisites: CBE-UY 2124 and CM-UY 2614. - 3 Credits Transport I CBE-UY 3313
- The course establishes fundamental concepts in momentum and mass transfer and their applications in chemical and biomolecular systems. Topics in Momentum Transfer include macroscopic (integral) balances on finite control volumes of fluids (determination of inflow, outflow quantities), and microscopic (differential) balances on infinitesimal volumes of fluids (determination of fluid-velocity profiles and pressure profiles). Topics in Mass Transfer include diffusion and convection with applications in separation processes and biomolecular systems.

Prerequisites: MA-UY 2132 or MA-UY 2034 and CBE-UY 2124. - 3 Credits Transport II CBE-UY 3323
- The course expands understanding in mass transfer, establishes fundamental concepts in heat transfer, and introduces engineering aspects of transport. Topics in Mass Transfer include diffusion-limited reactions with applications in biomolecular systems, transport in porous media, and mass transfer across membranes with applications in chemical and biomolecular systems. Topics in Heat Transfer include the basic mechanisms of conduction and convection. Topics in engineering aspects of transport include flow in closed conduits, heat-transfer equipment, and examples of simultaneous Heat and Mass Transfer.

Prerequisite: CBE-UY 3313.

- 3 Credits Statics CE-UY 2113
- The course covers: Vector treatment of static and dynamic equilibrium of particles and rigid bodies; equivalent forces and couple systems; distributed forces; static analysis of determinate trusses, frames and machines; friction; centroid and center of gravity, and moment of inertia.

Prerequisite: PH-UY 1013 and MA-UY 1024 or MA-UY 1324 or equivalent (C or better). - 3 Credits Mechanics of Materials CE-UY 2123
- This course introduces basic principles of stress and strain in axial loading, shear, torsion and bending, along with principles of transformation of stress for design. Laboratory experiments provide hands-on experience.

Prerequisite: PH-UY 1013 and CE-UY 2113 (C or better) or equivalents. - 3 Credits Fluid Mechanics and Hydraulics CE-UY 2213
- The course examines the basic principles of fluid mechanics with beginning applications to hydraulic design. Topics include fluid properties, fluid statics, elementary fluid dynamics and Bernoulli equation, continuity, energy and momentum equations, and fluid kinematics. Additional topics are laminar
and turbulent flow, boundary layer characteristics, drag and lift concepts (flow over immersed bodies), dimensional analysis, and fluid measurements.

Prerequisite: CE-UY 2113 or equivalent. - 2 Credits Structural Dynamics CE-UY 3122
- The course covers: Three-dimensional treatment of the kinetics of particles and rigid bodies using various coordinate systems; Newton’s law, work, energy, impulse and momentum; and an introduction to dynamics of one, two and multi-degree of freedom systems, with and without damping.

Prerequisites: MA-UY 2034 (or MA-UY 2012) and CE-UY 2113 or equivalents: Co-requisite: CE-UY 3133 or equivalent. - 3 Credits Structural Analysis CE-UY 3133
- This course offers in-depth coverage of structural analysis techniques. Topics: analysis of statically determinate structures; deflection calculations using energy methods; analysis of statically indeterminate structures using superposition; influence lines; and slope deflection, moment distribution and matrix analysis of structures. Computer applications are included.

Prerequisites for Brooklyn Engineering Students: MA-UY 2034; and CE-UY 2123 or CE-UY 2113 with a grade of B+ or better.

Prerequisites for Abu Dhabi Students: MATH-AD 116 and MATH-AD 121; and ENGR-AD 237 or ENGR-AD 111. - 3 Credits Transportation Engineering CE-UY 2343
- This course provides an introduction to transportation engineering. The course will cover travel demand forecasting, road user and vehicle characteristics, traffic engineering studies, engineering economic analysis, and highway design. The highway design element will focus on the basic design concepts of horizontal and vertical alignment, superelevation, and cross-section design. The course will also cover flexible pavement design, design of parking facilities, as well as bikeway and walkway design.

Prerequisites: CE-UY 1002 or CE-UY 1502 or permission of Civil Engineering Program Advisor

- 4 Credits Introduction to Programming & Problem Solving CS-UY 1114
- This course introduces problem solving and computer programming and is for undergraduate Computer Science and Computer Engineering majors who have limited prior experience in programming in any language. The course covers fundamentals of computer programming and its underlying principles using the Python programming language. Concepts and methods introduced in the
course are illustrated by examples from various disciplines. ABET competencies: a,b,c, e, f, g, k

Corequisite: EX-UY 1 - 2 Credits Introduction to Computer Engineering EE-UY 1012
- This course helps students to understand computer engineering as a balance among hardware, software, applications and theory, the notion of abstraction, computer layers and how they relate to various aspects of computer engineering, implementation of abstract and physical computer layers: Number systems, digital logic, basic processor structure, instruction set architecture, machine languages, assembly languages and high-level programming in C. Other computer concepts, including compilers, operating systems and algorithms, are presented, along with the simulator concept and its usage for understanding computer design, testing and analysis. Experts present special topics in the area. Also discussed are invention, innovation, entrepreneurship and ethics in these topics and in Computer Engineering. Cross listed as CS-UY 1012.

ABET competencies: e, h, j

Prerequisite: Only first-year students are permitted to enrol in this course. - 3 Credits Fundamentals of Electric Circuits I EE-UY 2013
- This course covers Passive DC circuit elements, Kirchoff’s laws, electric power calculations, analysis of DC circuits, Nodal and Loop analysis techniques, voltage and current division, Thevenin’s and Norton’s theorems, and source-free and forced responses of RL, RC and RLC circuits. A minimum of C- is required to take other EE courses.

Co-requisites for Brooklyn Engineering Students: MA-UY 2034 and PH-UY 2023

Prerequisites for Abu Dhabi Students: SCIEN-AD 110, MATH-AD 116, and MATH-AD 121. ABET competencies a, c, e, k. - 4 Credits Fundamentals of Electric Circuits II EE-UY 2024
- The course continues EE2013 and focuses on sinusoidal steady-state response; complex voltage and current and the phasor concept; impedance and admittance; average, apparent and reactive power; polyphase circuits; node and mesh analysis for AC circuits; use of Matlab for solving circuit equations; frequency response; parallel and series resonance; and operational amplifier circuits. A laboratory meets on alternate weeks. A minimum of C- is required to take other EE courses.

Prerequisites: EE-UY 2013 with C or better grade. ABET competencies a, b, c, d, e, k. - 4 Credits Digital Logic and State Machine Design CS-UY 2204
- This course covers combinational and sequential digital circuits. Topics: Introduction to digital systems. Number systems and binary arithmetic. Switching algebra and logic design. Error detection and correction. Combinational integrated circuits, including adders. Timing hazards. Sequential circuits, flipflops, state diagrams and synchronous machine synthesis. Programmable Logic Devices, PLA, PAL and FPGA. Finite-state machine design. Memory elements. A grade of C or better is required of undergraduate computer-engineering majors.

Prerequisite: CS-UY 1114 (C- or better) or CS-UY 1133 (C- or better). ABET competencies: a, c, e, k.

- 4 Credits Introduction to Programming & Problem Solving CS-UY 1114
- This course introduces problem solving and computer programming and is for undergraduate Computer Science and Computer Engineering majors who have limited prior experience in programming in any language. The course covers fundamentals of computer programming and its underlying principles using the Python programming language. Concepts and methods introduced in the
course are illustrated by examples from various disciplines. ABET competencies: a,b,c, e, f, g, k

Corequisite: EX-UY 1 - 4 Credits Discrete Mathematics MA-UY 2314
- Logic, proofs, set theory, functions, relations, asymptotic notation, recurrences, modeling computation, graph theory.

Prerequisite: Math Diagnostic Exam or MA-UY 912 or MA-UY 914 (minimum calculus level required)

Prerequisite for Shanghai students: MATH-SHU 110. Note: This course and CS-GY 6003 cannot both be taken for credit. - 4 Credits Object Oriented Programming CS-UY 2124
- This intermediate-level programming course teaches object-oriented programming in C++. Topics: Pointers, dynamic memory allocation and recursion. Classes and objects including constructors, destructors, methods (member functions) and data members. Access and the interface to relationships of classes including composition, association and inheritance. Polymorphism through function overloading operators. Inheritance and templates. Use of the standard template library containers and algorithms.

Prerequisite: CS-UY 1134 (C- or better); Corequisite: EX-UY 1 - 4 Credits Data Structures and Algorithms CS-UY 1134
- This course covers abstract data types and the implementation and use of standard data structures along with fundamental algorithms and the basics of algorithm analysis. Not open to students who have taken CS-UY 2134.

Prerequisite: CS-UY 1114 (C- or better); Corequisite: EX-UY 1 - 3 Credits Design & Analysis of Algorithms CS-UY 2413
- This course covers fundamental principles of the design and analysis of algorithms. Topics include asymptotic notation, recurrences, randomized algorithms, sorting and selection, balanced binary search trees, augmented data structures, advanced data structures, algorithms on strings, graph algorithms, geometric algorithms, greedy algorithms, dynamic programming and NP completeness.

Prerequisites for Brooklyn Engineering Students: (CS-UY 2134 or CS-UY 1134) and (CS-UY 2124 or CS-UY 1124) (C- or better) and MA-UY 2314

Prerequisites for Abu Dhabi Students: (CS-UY 2134 or CS-UY 1134) and (CS-UY 2124 or CS-UY 1124) (C- or better) and MATH-AD 131

Prerequisites for Shanghai Students: CSCI-SHU 210 (C- or better) and CSCI-SHU 2314 or MATH-SHU 120.

- 3 Credits Fundamentals of Electric Circuits I EE-UY 2013
- This course covers Passive DC circuit elements, Kirchoff’s laws, electric power calculations, analysis of DC circuits, Nodal and Loop analysis techniques, voltage and current division, Thevenin’s and Norton’s theorems, and source-free and forced responses of RL, RC and RLC circuits. A minimum of C- is required to take other EE courses.

Co-requisites for Brooklyn Engineering Students: MA-UY 2034 and PH-UY 2023

Prerequisites for Abu Dhabi Students: SCIEN-AD 110, MATH-AD 116, and MATH-AD 121. ABET competencies a, c, e, k. - 4 Credits Fundamentals of Electric Circuits II EE-UY 2024
- The course continues EE2013 and focuses on sinusoidal steady-state response; complex voltage and current and the phasor concept; impedance and admittance; average, apparent and reactive power; polyphase circuits; node and mesh analysis for AC circuits; use of Matlab for solving circuit equations; frequency response; parallel and series resonance; and operational amplifier circuits. A laboratory meets on alternate weeks. A minimum of C- is required to take other EE courses.

Prerequisites: EE-UY 2013 with C or better grade. ABET competencies a, b, c, d, e, k. - 4 Credits Signals and Systems EE-UY 3054
- This course centers on linear system theory for analog and digital systems; linearity, causality and time invariance; impulse response, convolution and stability; the Laplace, z- transforms and applications to Linear Time Invariant (LTI) systems; frequency response, analog and digital filter design. Topics also include Fourier Series, Fourier Transforms and the sampling theorem. Weekly computer-laboratory projects use analysis- and design-computer packages. The course establishes foundations of linear systems theory needed in future courses; use of math packages to solve problems and simulate systems; and analog and digital filter design.

Prerequisites for Brooklyn Engineering Students: MA-UY 2012/2132 or MA-UY 2034.

Prerequisites for Abu Dhabi Students: MATH-AD 116 and MATH-AD 121.

Prerequisites for Shanghai Students: MATH-SHU 124 and MATH-SHU 140. ABET competencies a, b, c, e, k. - 4 Credits Fundamentals of Electronics I EE-UY 3114
- This course focuses on circuit models and amplifier frequency response, op-amps, difference amplifier, voltage-to-current converter, slew rate, full-power bandwidth, common-mode rejection, frequency response of closed-loop amplifier, gain-bandwidth product rule, diodes, limiters, clamps and semiconductor physics. Other topics include Bipolar Junction Transistors; small-signal models, cut-off, saturation and active regions; common emitter, common base and emitter-follower amplifier configurations; Field-Effect Transistors (MOSFET and JFET); biasing; small-signal models; common-source and common gate amplifiers; and integrated circuit MOS amplifiers. The alternate-week laboratory experiments on OP-AMP applications, BJT biasing, large signal operation and FET characteristics. The course studies design and analysis of operational amplifiers; small-signal bipolar junction transistor and field-effect transistor amplifiers; diode circuits; differential pair amplifiers and semiconductor device- physics fundamentals.

Prerequisites for Brooklyn Engineering Students: EE-UY 2024 or EE-UY 2004 (C- or better) and PH-UY 2023

Prerequisites for Abu Dhabi Students: ENGR-AD 214 and SCIEN-AD 110.

Prerequisites for Shanghai Students: EENG-SHU 251 (C- or better) and PHYS-SHU 93 or CCSC-SHU 51. ABET competencies a, b, c, e, k. - 4 Credits Fundamentals of Electronics II EE-UY 3124
- The course concentrates on differential and multistage amplifier, current mirrors, current sources, active loads; frequency response of MOSFET, JFET and BJT amplifiers: Bode plots; feedback amplifiers, gain-bandwidth rule and feedback effect on frequency response; Class A, B and AB output stages; op-amp analog integrated circuits; piecewise-linear transient response; determination of state of transistors; wave-shaping circuits; MOS and bipolar digital design: noise margin, fan-out, propagation delay; CMOS, TTL, ECL; and an alternate week laboratory. The course studies design and analysis of analog integrated circuits, frequency response of amplifiers, feedback amplifiers, TTL and CMOS digital integrated circuits.

Prerequisite for Brooklyn Engineering Students: EE-UY 3114.

Prerequisite for Shanghai Students: EENG-SHU 322. ABET competencies a, c, e, g, k.

- 3 Credits Introduction to Materials Science ME-UY 2813
- 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.

Prerequisites: PH-UY 1013 and CM-UY 1004 (or CM-UY 1014 and CM-UY 1024). Co-requisite: ME-UY 2811. - 1 Credits Materials Science Laboratory ME-UY 2811
- 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.

Prerequisites: PH-UY 1013, CM-UY 1004 (or CM-UY 1014 and CM-UY 1024). Co-requisite: ME-UY 2813. - 3 Credits Statics ME-UY 2213
- The course covers three-dimensional vector treatment of the static equilibrium of particles and rigid bodies. Topics: Equivalent force and couple systems. Distributed force systems. Static analysis of trusses, frames and machines. Friction, impending motion. Methods of virtual work.

Prerequisite: PH-UY 1013 and MA-UY 1024. Co-requisite: ME-UY 2211. - 1 Credits Statics Laboratory ME-UY 2211
- The course deals with measurement and calculations of bending stress, bending moment, shear forces and deflections in beams, buckling of struts and equilibrium analysis of structures.

Co-requisite: ME-UY 2213. - 3 Credits Thermodynamics ME-UY 3333
- The course centers on properties of pure substances; concepts of work and heat; closed and open systems. Topics: Fundamental laws of thermodynamics. Carnot and Clasius statements of the 2nd law; entropy and entropy production; heat engines, refrigerators, heat pumps; efficiencies, coefficients of performance.

Prerequisite: PH-UY 2033, MA-UY 1124 and MA-UY 2132 or MA-UY 2034. - 3 Credits Mechanics of Materials ME-UY 3213
- The course examines the Concept of Stresses and Strains in two and three dimensions, Stress-strain relationships, Stress transformation, Strain transformation, Axial members, Torsion of shafts, Bending of beams.

Prerequisites: ME-UY 2213, MT-UY 2813 and MA-UY 2132 or MA-UY 2034. Co-requisite: ME-UY 3211. - 3 Credits Fluid Mechanics ME-UY 3313
- This course introduces fluid kinematics, hydrostatics and thermodynamics. Topics: Basic conservation laws in integral form for a control volume. Conservation of mass, momentum, angular momentum and energy for flow. Inviscid flow: Bernoulli’s and Euler’s equations. Viscous flow: flows in pipes and ducts, head loss and friction factor.

Prerequisites: ME-UY 3333, MA-UY 2132 or MA-UY 2034 and MA-UY 2122 or MA-UY 2114. Co-requisite: ME-UY 3311.

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