
Academics
Mathematics, BS
Mathematics forms the backbone of many scientific fields. It provides the theory and methods essential to understanding the fundamentals of such areas as physics, engineering, and computer science. With a firm grasp of mathematics, you’ll have the widest possible base from which to launch explorations of related disciplines.
The School of Engineering's BS in Mathematics program prepares you for success. Our students benefit not only from a full spectrum of math courses but from handson experience in the real world. We provide this through unique internship opportunities at organizations such as MIT Lincoln Laboratories, Verizon, Credit Suisse First Boston, New York Hall of Science, and the CIA.
Our students have the freedom to pursue varied and exciting careers, math majors can become software designers, biostatisticians, industrial engineers, imaging scientists, aerospace mathematicians, and economists. Today, mathematicians find rewarding work in a wide range of companies, including investment banks and government organizations like the National Security Agency.
Curriculum
Goals and Objective Command of core areas in both pure and applied mathematics, including but not limited to real and complex analysis, linear algebra, ordinary and partial differential equations.
 Mastery of a particular applied or engineering field and how mathematics is used in that field.
 Readiness for a variety of career options following graduation, including, but not limited to graduate study in applied mathematics, engineering, medicine, as well as professional careers in consulting, business & finance, and technology.
Rationale
The Tandon B.S. in Mathematics program is designed to provide a student with the knowledge and skills needed to both start a career in a mathematicallyoriented field and adapt easily to changes in both the field and one’s career directions. The program has the following components:
 A core set of required fundamental mathematics courses
 Mathematics electives
 A cohesive set of courses that focus on a particular field of engineering or applied science. The student works together with their advisor to choose these courses appropriately.
Students must complete 121 credits, as defined below, to graduate from the NYU Tandon School of Engineering with a Bachelor of Science in Mathematics. Please note that the curriculum that follows applies to students who begin classes in the Fall of 2017 or later. For students who enter the NYU Tandon School of Engineering prior to that date, please refer to the bulletin website: curriculum and typical course schedule for students entering prior to Fall 2017.
The NYU Tandon School of Engineering also offers a Physics and Mathematics, B.S. which is a dual major in both subjects.
Courses
Required Courses
Core Mathematics Requirements (41 Credits)
 2 Credits The Art of Mathematics MAUY1002
 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 firstyear students are permitted to enroll in this introductory level course.
 4 Credits Calculus I for Engineers MAUY1024
 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, antiderivatives. MAUY 1324 is for students who wish to take MAUY 1024 but need more review of precalculus. MAUY 1324 covers the same material as MAUY 1024 but with more contact hours per week, incorporating a full discussion of the required precalculus topics.
Prerequisite: Placement Exam or MAUY 912 or MAUY 914 (with a grade of B or better). Corequisite: EXUY 1
Or
 4 Credits Integrated Calculus I for Engineers MAUY1324
 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, antiderivatives. MAUY 1324 is for students who wish to take MAUY 1024 but need more review of precalculus. MAUY 1324 covers the same material as MAUY 1024 but with more contact hours per week, incorporating a full discussion of the required precalculus topics.
Prerequisite: Placement Exam or MAUY 912 or MAUY 914. Corequisite: EXUY 1.
 4 Credits Calculus II for Engineers MAUY1124
 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. MAUY 1424 is for students who wish to take MAUY 1124 but need more review of precalculus. MAUY 1424 covers the same material as MAUY 1124 but with more contact hours per week, incorporating a full discussion of the required precalculus topics.
Prerequisites: MAUY 1022 (with a grade of B or better) or MAUY 1024 or MAUY 1324 (with a grade of B or better).
Corequisite: EXUY 1.
Or
 4 Credits Integrated Calculus II for Engineers MAUY1424
 This course MAUY 1424 is for students who wish to take MAUY 1124 but need more review of precalculus. MAUY 1424 covers the same material as MAUY 1124 but with more contact hours a week, incorporating a full discussion of the required precalculus topics.
Prerequisites: MAUY 1022 or MAUY 1024 or MAUY 1324. Note: credit for this course may be used to satisfy the minimum credit requirement for graduation. Corequisite: EXUY 1
 MAUY153 Please refer to the bulletin for more information
 4 Credits Calculus Iii: Multidimensional Calculus MAUY2114
 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: MAUY 1124 or MAUY 1424 or MAUY 1132.  MAUY4613 Please refer to the bulletin for more information
 3 Credits Diff Equat & Num Methods MAUY108
 3 Credits Introduction to Probability MAUY2233
 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.
Prerequisites: MAUY 109, MAUY 2112, OR MAUY 2114. Note: Not open to students who have taken MAUY 2224 or MAUY 3012 or MAUY 3022.  MAUY4413 Please refer to the bulletin for more information
 MAUY4433 Please refer to the bulletin for more information
 MAUY4113 Please refer to the bulletin for more information
 MAUY4423 Please refer to the bulletin for more information
 MAUY239 Please refer to the bulletin for more information
Other Required Courses (28 Credits)
 1 Credits Engineering and Technology Forum EGUY1001
 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 researchintensive institution and diverse research performed by leading engineers, scientists, inventors and entrepreneurs.
 4 Credits Introduction to Programming & Problem Solving CSUY1114
 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: EXUY 1  4 Credits General Chemistry for Engineers CMUY1004
 This is a onesemester 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: EXUY 1  3 Credits Mechanics PHUY1013
 This course is the first of a threesemester lecture sequence in general physics for science and engineering students. Motion of particles and systems of particles. Onedimensional motion. Vectors and twodimensional 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: MAUY 1024 or an approved equivalent. Corequisites: MAUY 1124 or approved equivalent, and EXUY 1  3 Credits Electricity, Magnetism, & Fluids PHUY2023
 This is the second course of a threesemester 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: PHUY 1013 and MAUY 1124 or an approved equivalent. Corequisite: PHUY 2121 General Physics Laboratory I, and EXUY 1  3 Credits Waves, Optics, & Thermodynamics PHUY2033
 This is the third course of a threesemester 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: PHUY 2121 and PHUY 2023. Corequisites: PHUY 2131, and EXUY 1.  1 Credits General Physics Laboratory I PHUY2121
 PHUY 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: PHUY 1013 and MAUY 1124 or equivalent. Corequisite: PHUY 2023.  1 Credits General Physics Laboratory II PHUY2131
 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: PHUY 2121 and PHUY 2023. Corequisite: PHUY 2033  4 Credits Writing the Essay: EXPOSUA1
 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 16 are, with department consent, available for undergraduates interested in writing about the Sciences. Students should email EWP for access codes. Sections 972 are regular Spring sections for undergraduates, excluding sections 66,67 which are for Tandon students in Brooklyn. In Fall, sections 16125 are available to incoming undergraduates on the WSQ campus and sections 126167 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 17 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 813, offered in Fall only) is offered ONLY for students who live in the Goddard Residential College. Writing the Essay, Rubin (sections 1415, 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.
 4 Credits The Advanced College Essay EXPOSUA2
 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
Electives
Math Electives (9 Credits)
Students should select three math elective courses totaling at least 9 credits.
Other Electives (28 Credits)
 Students are required to take 16 credits in the humanities and social sciences. Note: EXPOSUA 1 and EXPOSUA 2 do not count toward the Humanities and Social Sciences Elective requirement of 16 credits.
 12 credits are reserved for free electives, with advisor’s approval.
Engineering Component (15 Credits)
Students should select five engineering courses totaling at least 15 credits in Engineering Components. The Engineering Component of the B.S. in Mathematics Program must be in at least one of the following disciplines:
 Chemical and Biomolecular Engineering
 Civil Engineering
 Computer Engineering
 Computer Science
 Electrical Engineering
 Mechanical Engineering
Interdisciplinary components involving two or more of the fields above will be considered. The courses comprising a math major’s engineering component must be approved in advance by an official Mathematics Department advisor.
Sample engineering courses in Engineering Components are listed under the Sample Course Schedule section.
Total: 121 Credits
Minor and Double Major
Minor in Mathematics
A student not majoring in math or math/physics can obtain a minor in mathematics by fulfilling the following requirements:
 16 credits of math courses
 At least 8 credits of math courses must be in addition to the major's math requirements
 At least 8 of the 16 credits must be taken while enrolled at Tandon
 Minimum 2.0 minor GPA
All courses used for the Minor in Mathematics must be preapproved by the Math Department Advisor. Courses with similar content cannot be used towards the minor.
Dual Major in Mathematics and Physics
You may also pursue a dual major in mathematics and physics. Advisers from both the mathematics and physics programs must approve specific course requirements for the 128credit degree.
Sample Course Schedule
B.S. in MathematicsHere's a look at what your schedule might look like as you pursue a Bachelor of Science in Mathematics at the School of Engineering.
First Year
Fall Semester
 4 Credits Calculus I for Engineers MAUY1024
 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, antiderivatives. MAUY 1324 is for students who wish to take MAUY 1024 but need more review of precalculus. MAUY 1324 covers the same material as MAUY 1024 but with more contact hours per week, incorporating a full discussion of the required precalculus topics.
Prerequisite: Placement Exam or MAUY 912 or MAUY 914 (with a grade of B or better). Corequisite: EXUY 1
or
 4 Credits Integrated Calculus I for Engineers MAUY1324
 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, antiderivatives. MAUY 1324 is for students who wish to take MAUY 1024 but need more review of precalculus. MAUY 1324 covers the same material as MAUY 1024 but with more contact hours per week, incorporating a full discussion of the required precalculus topics.
Prerequisite: Placement Exam or MAUY 912 or MAUY 914. Corequisite: EXUY 1.  2 Credits The Art of Mathematics MAUY1002
 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 firstyear students are permitted to enroll in this introductory level course.  4 Credits General Chemistry for Engineers CMUY1004
 This is a onesemester 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: EXUY 1  4 Credits Writing the Essay: EXPOSUA1
 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 16 are, with department consent, available for undergraduates interested in writing about the Sciences. Students should email EWP for access codes. Sections 972 are regular Spring sections for undergraduates, excluding sections 66,67 which are for Tandon students in Brooklyn. In Fall, sections 16125 are available to incoming undergraduates on the WSQ campus and sections 126167 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 17 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 813, offered in Fall only) is offered ONLY for students who live in the Goddard Residential College. Writing the Essay, Rubin (sections 1415, 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 EGUY1001
 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 researchintensive institution and diverse research performed by leading engineers, scientists, inventors and entrepreneurs.
Spring Semester
 4 Credits Calculus II for Engineers MAUY1124
 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. MAUY 1424 is for students who wish to take MAUY 1124 but need more review of precalculus. MAUY 1424 covers the same material as MAUY 1124 but with more contact hours per week, incorporating a full discussion of the required precalculus topics.
Prerequisites: MAUY 1022 (with a grade of B or better) or MAUY 1024 or MAUY 1324 (with a grade of B or better).
Corequisite: EXUY 1.
or
 4 Credits Integrated Calculus II for Engineers MAUY1424
 This course MAUY 1424 is for students who wish to take MAUY 1124 but need more review of precalculus. MAUY 1424 covers the same material as MAUY 1124 but with more contact hours a week, incorporating a full discussion of the required precalculus topics.
Prerequisites: MAUY 1022 or MAUY 1024 or MAUY 1324. Note: credit for this course may be used to satisfy the minimum credit requirement for graduation. Corequisite: EXUY 1
 3 Credits Mechanics PHUY1013
 This course is the first of a threesemester lecture sequence in general physics for science and engineering students. Motion of particles and systems of particles. Onedimensional motion. Vectors and twodimensional 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: MAUY 1024 or an approved equivalent. Corequisites: MAUY 1124 or approved equivalent, and EXUY 1  4 Credits The Advanced College Essay EXPOSUA2
 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 CSUY1114
 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: EXUY 1
Second Year
Fall Semester
 MAUY153 Please refer to the bulletin for more information
 3 Credits Electricity, Magnetism, & Fluids PHUY2023
 This is the second course of a threesemester 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: PHUY 1013 and MAUY 1124 or an approved equivalent. Corequisite: PHUY 2121 General Physics Laboratory I, and EXUY 1  1 Credits General Physics Laboratory I PHUY2121
 PHUY 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: PHUY 1013 and MAUY 1124 or equivalent. Corequisite: PHUY 2023.
Engineering Course #1, Credits: 3.00
Spring Semester
 4 Credits Calculus Iii: Multidimensional Calculus MAUY2114
 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: MAUY 1124 or MAUY 1424 or MAUY 1132.  3 Credits Waves, Optics, & Thermodynamics PHUY2033
 This is the third course of a threesemester 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: PHUY 2121 and PHUY 2023. Corequisites: PHUY 2131, and EXUY 1.  1 Credits General Physics Laboratory II PHUY2131
 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: PHUY 2121 and PHUY 2023. Corequisite: PHUY 2033
Engineering Course #2, Credits: 3.00
Third Year
Fall Semester
 MAUY4613 Please refer to the bulletin for more information
 3 Credits Diff Equat & Num Methods MAUY108
Engineering Course #3, Credits: 3.00
Free Elective #1, Credits: 3.00
Spring Semester
 3 Credits Introduction to Probability MAUY2233
 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.
Prerequisites: MAUY 109, MAUY 2112, OR MAUY 2114. Note: Not open to students who have taken MAUY 2224 or MAUY 3012 or MAUY 3022.  MAUY4413 Please refer to the bulletin for more information
 MAUY4433 Please refer to the bulletin for more information
Engineering Course #4, Credits: 3.00
Fourth Year
Fall Semester
 MAUY4113 Please refer to the bulletin for more information
 MAUY4423 Please refer to the bulletin for more information
Free Elective #2, Credits: 3.00
Engineering Course #5, Credits: 3.00
Spring Semester
Math Elective #2, Credits: 3.00Math Elective #3, Credits: 3.00
Free Elective #3, Credits: 3.00
Free Elective #4, Credits: 3.00
Sample Engineering Components
Chemical & Biomolecular Engineering
 2 Credits Introduction to Chemical & Biomolecular Engineering CBEUY1002
 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: CMUY 1004, EGUY 1003 and Firstyear standing  4 Credits Analysis of Chemical and Biomolecular Processes CBEUY2124
 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: CMUY 1004 and MAUY 1024 (B or better).  3 Credits Chemical and Biomolecular Engineering Thermodynamics CBEUY3153
 The course covers thermodynamics of flow systems. Topics include properties of fluids with advanced equations of state; properties of nonideal mixtures; activitycoefficient models for nonelectrolyte and electrolyte solutions; phaseequilibrium calculations at low and elevated pressures by computer procedures; and chemical reaction equilibria.
Prerequisites: CBEUY 2124 and CMUY 2614.  3 Credits Transport I CBEUY3313
 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 fluidvelocity profiles and pressure profiles). Topics in Mass Transfer include diffusion and convection with applications in separation processes and biomolecular systems.
Prerequisites: MAUY 2132 or MAUY 2034 and CBEUY 2124.  3 Credits Transport II CBEUY3323
 The course expands understanding in mass transfer, establishes fundamental concepts in heat transfer, and introduces engineering aspects of transport. Topics in Mass Transfer include diffusionlimited 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, heattransfer equipment, and examples of simultaneous Heat and Mass Transfer.
Prerequisite: CBEUY 3313.
Civil Engineering
 3 Credits Statics CEUY2113
 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: PHUY 1013 and MAUY 1024 or MAUY 1324 or equivalent (C or better).  3 Credits Mechanics of Materials CEUY2123
 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 handson experience.
Prerequisite: PHUY 1013 and CEUY 2113 (C or better) or equivalents.  3 Credits Fluid Mechanics and Hydraulics CEUY2213
 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: CEUY 2113 or equivalent.  2 Credits Structural Dynamics CEUY3122
 The course covers: Threedimensional 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 multidegree of freedom systems, with and without damping.
Prerequisites: MAUY 2034 (or MAUY 2012) and CEUY 2113 or equivalents: Corequisite: CEUY 3133 or equivalent.  3 Credits Structural Analysis CEUY3133
 This course offers indepth 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: MAUY 2034; and CEUY 2123 or CEUY 2113 with a grade of B+ or better.
Prerequisites for Abu Dhabi Students: MATHAD 116 and MATHAD 121; and ENGRAD 237 or ENGRAD 111.  3 Credits Transportation Engineering CEUY2343
 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 crosssection design. The course will also cover flexible pavement design, design of parking facilities, as well as bikeway and walkway design.
Prerequisites: CEUY 1002 or CEUY 1502 or permission of Civil Engineering Program Advisor
Computer Engineering
 4 Credits Introduction to Programming & Problem Solving CSUY1114
 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: EXUY 1  EEUY1012 Please refer to the bulletin for more information
 EEUY2013 Please refer to the bulletin for more information
 EEUY2024 Please refer to the bulletin for more information
 4 Credits Digital Logic and State Machine Design CSUY2204
 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. Finitestate machine design. Memory elements. A grade of C or better is required of undergraduate computerengineering majors.
Prerequisite: CSUY 1114 (C or better) or CSUY 1133 (C or better). ABET competencies: a, c, e, k.
Computer Science
 4 Credits Introduction to Programming & Problem Solving CSUY1114
 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: EXUY 1  4 Credits Discrete Mathematics MAUY2314
 Logic, proofs, set theory, functions, relations, asymptotic notation, recurrences, modeling computation, graph theory.
Prerequisite: Math Diagnostic Exam or MAUY 912 or MAUY 914 (minimum calculus level required)
Prerequisite for Shanghai students: MATHSHU 110. Note: This course and CSGY 6003 cannot both be taken for credit. Corequisite: EXUY 2  4 Credits Object Oriented Programming CSUY2124
 This intermediatelevel programming course teaches objectoriented 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: CSUY 1134 (C or better); Corequisite: EXUY 1  4 Credits Data Structures and Algorithms CSUY1134
 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 CSUY 2134.
Prerequisite: CSUY 1114 (C or better); Corequisite: EXUY 1  3 Credits Design & Analysis of Algorithms CSUY2413
 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: (CSUY 2134 or CSUY 1134) and (CSUY 2124 or CSUY 1124) (C or better) and MAUY 2314
Prerequisites for Abu Dhabi Students: (CSUY 2134 or CSUY 1134) and (CSUY 2124 or CSUY 1124) (C or better) and MATHAD 131
Prerequisites for Shanghai Students: CSCISHU 210 (C or better) and CSCISHU 2314 or MATHSHU 120.
Electrical Engineering
 EEUY2013 Please refer to the bulletin for more information
 EEUY2024 Please refer to the bulletin for more information
 EEUY3054 Please refer to the bulletin for more information
 EEUY3114 Please refer to the bulletin for more information
 EEUY3124 Please refer to the bulletin for more information
Mechanical Engineering
 3 Credits Introduction to Materials Science MEUY2813
 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: PHUY 1013 and CMUY 1004 (or CMUY 1014 and CMUY 1024). Corequisite: MEUY 2811.  1 Credits Materials Science Laboratory MEUY2811
 Students learn to characterize the microstructure and crystal structure of a material by optical and scanning electron microscopy and Xray diffraction. The mechanical characterization is accomplished by hardness, tensile and yield strength, impact and fatigue testing.
Prerequisites: PHUY 1013, CMUY 1004 (or CMUY 1014 and CMUY 1024). Corequisite: MEUY 2813.  3 Credits Statics MEUY2213
 The course covers threedimensional 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: PHUY 1013 and MAUY 1024. Corequisite: MEUY 2211.  1 Credits Statics Laboratory MEUY2211
 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.
Corequisite: MEUY 2213.  3 Credits Thermodynamics MEUY3333
 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: PHUY 2033, MAUY 1124 and MAUY 2132 or MAUY 2034.  3 Credits Mechanics of Materials MEUY3213
 The course examines the Concept of Stresses and Strains in two and three dimensions, Stressstrain relationships, Stress transformation, Strain transformation, Axial members, Torsion of shafts, Bending of beams.
Prerequisites: MEUY 2213, MTUY 2813 and MAUY 2132 or MAUY 2034. Corequisite: MEUY 3211.  3 Credits Fluid Mechanics MEUY3313
 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: MEUY 3333, MAUY 2132 or MAUY 2034 and MAUY 2122 or MAUY 2114. Corequisite: MEUY 3311.