Mathematics provides the logical and analytical tools for tackling many of the important problems of our time. By its very nature, mathematics provides the means to break many problems into manageable pieces that can be analyzed and solved. In fact, mathematical approaches have been central to solving problems and modeling phenomena in a wide array of disciplines. Probability and statistical analysis are fundamental for mapping and analyzing the human genome. Advanced mathematical theories provide the keys to analyzing the risk of rare events, a basic problem of the financial markets. In physics, geometry finds applications to particle physics, to string theory, and to cosmology. In neuroscience, exciting new research into the structure and functioning of the brain relies heavily on the insights provided by mathematical modeling. These are but a few of the contemporary problems relying on mathematical analysis. Mathematical thinking is grounded in rigor and abstraction, but draws its vitality from questions arising in the natural world as well as applications to industry and technology.
Mathematics majors acquire solid foundations in differential and integral calculus, as well as basic concepts of algebra and modern geometry. Students are introduced to classical subjects such as complex and real analysis, abstract algebra, number theory, and topology. Students interested in applications of mathematics to social and physical sciences may pursue courses in numerical methods, theoretical mechanics, probability, dynamical systems, and differential equations.
Mathematics majors at NYUAD attain a breadth of knowledge within the field, pursue their own interests in math electives, explore the role of mathematics as an applied discipline, and undertake a capstone project. The major offers a rigorous and broad foundation in mathematics through seven required courses: Calculus; Linear Algebra; Multivariable Calculus; Ordinary Differential Equations; Real Analysis 1; Introduction to Probability and Statistics; Abstract Algebra 1.
Students select three electives. To attain greater depth in analysis, algebra or calculus, students choose Real Analysis 2, Abstract Algebra 2 or Vector Analysis. The second elective must be a course in applied mathematics, such as Discrete Mathematics, Numerical Methods, Cryptography, Introduction to Mathematical Modeling or Introduction to Game Theory. The third elective may be any other course in mathematics.
Mathematics majors must also complete a concentration in one of the following areas, which use mathematics or mathematical modeling: Computer Science, Economics or the Natural Sciences
Requiring mathematics majors to complete a concentration provides them with a basic knowledge of how math is applied to a specific discipline and is intended to foster the requisite capstone projects in which math majors work closely with students from other areas to solve problems and answer questions.
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MATHAD 101 Mathematical Functions
A fundamental understanding of mathematical functions is critical before engaging in the rigors of calculus. This course examines single variable functions, including their algebraic and geometric properties. The course begins with a rigorous exploration of the following question: What is a function, and how can it be represented geometrically as a graph? The course delves into standard function manipulations and examines a range of mathematical functions, including polynomial, rational, trigonometric, exponential, and logarithmic functions. Placement into Mathematical Functions is decided by discussion with mentors and the results of a mathematics placement examination.
Students in the NYUNY Mathematics Dept: This course is equivalent to MATHUA 009 Algebra and Calculus

Fall 2011;
14 Weeks
Kiryl Tsishchanka  MR, 1:102:25
Taught in Abu Dhabi 
Fall 2012;
14 Weeks
Kiryl Tsishchanka  UTR, 8:309:45
Taught in Abu Dhabi 
Fall 2012;
14 Weeks
Kiryl Tsishchanka  UTR, 1:102:25
Taught in Abu Dhabi 
Spring 2013;
14 Weeks
Charlie Major  TR, 8:309:45 AM
Taught in Abu Dhabi 
Fall 2013;
14 Weeks
Charlie Major  TR, 11:2012:35
Taught in Abu Dhabi 
Fall 2013;
14 Weeks
Pablo Ramirez  U, 8:309:45 (rec a)
Taught in Abu Dhabi 
Fall 2013;
14 Weeks
Pablo Ramirez  U, 9:5511:10 (rec b)
Taught in Abu Dhabi 
Fall 2013;
14 Weeks
Pablo Ramirez  U, 11:2012:35 (rec c)
Taught in Abu Dhabi 
Spring 2014;
14 Weeks
Charlie Major  TR, 9:5511:10 am (Sem); U 9:5511:10 (Rec1); U 2:353:50 pm (Rec2)
Taught in Abu Dhabi 
Fall 2010;
14 Weeks
Charlie Major  MW, 3:354:50 pm (Sem2); U 3:354:50 pm (Rec2)
Taught in Abu Dhabi 
Fall 2014;
14 Weeks
Charlie Major  MW, 9:1510:30 am (Sem1); U 9:1510:30 am (Rec1)
Taught in Abu Dhabi 
Fall 2014;
14 Weeks
Charlie Major  MW, 3:354:50 (Sem2); U 3:354:50 (Rec2)
Taught in Abu Dhabi
This course appears in...
 Majors > Mathematics > Courses for NonMajors
Prerequisites
There are no prerequisites for this course.

Fall 2011;
14 Weeks

MATHAD 102 Introduction to Vector Mathematics
A Vector is a mathematical measure of change in magnitude and direction of a physical event. For example, a displacement from one location to another
in a two or three dimensional space, or the quantity and direction of force applied to move an object are examples of vectors. This course studies the algebra of vector addition, subtraction and the Dot Product Multiplication and Cross Product Multiplication. The course further provides an in depth study of trigonometric functions, trigonometric equations and trigonometric identities including Double Angle and Half Angle Formulas and their application. The concept of Average Rate of Change Limit and Derivatives for both Scalars and Vectors Two and Three Dimensional Coordinates in Cartesian, Spherical and Polar Form are discussed and the merits of each are presented.Systems of Linear Equations are presented using matrices and their properties including the inverse of a matrix to help solve linear systems. Finite and Infinite Sequences are discussed A comparison of Real and Complex Numbers is reviewed and several applications of the Algebra of Complex Numbers is presented to solidify how to use them in applications.
Fall 2014;
14 Weeks
Charlie Major  MW, 2:103:25 pm; U 2:103:25 (Rec)
Taught in Abu Dhabi
This course appears in...
 Majors > Mathematics > Courses for NonMajors
Prerequisites
There are no prerequisites for this course.

Fall 2014;
14 Weeks

MATHAD 110 Calculus
This course presents the foundations of calculus by examining functions and their derivatives and integrals, with an emphasis on proofs and theorems and an introduction to basic mathematical analysis. While the derivative measures the instantaneous rate of change of a function, the definite integral measures the total accumulation of a function over an interval. Indeed, the relationship between differentiation (finding a derivative) and integration (determining an integral) is described in the Fundamental Theorem of Calculus. In addition to two weekly lectures, students attend a weekly discussion section that provides opportunities for rigorous analysis of proofs and theorems associated with the material. This course is primarily intended for students considering Mathematics as a major or for students who seek an indepth understanding of the arguments that support calculus. Placement into Calculus is decided by discussion with mentors and the results of a mathematics placement examination. With permission of the program in mathematics, Calculus with Applications may substitute for Calculus.
This is a required course for Economics majors until the class of 2017.
Students in the NYUNY Mathematics Dept: This course is equivalent to MATHUA 121 Calculus I
This course has a discussion section.

Fall 2011;
14 Weeks
Federico Camia  MTR, 11:2012:35
Taught in Abu Dhabi 
Fall 2012;
14 Weeks
Federico Camia  UMW, 9:5511:10
Taught in Abu Dhabi 
Fall 2013;
14 Weeks
Federico Camia  UMW, 4:005:15
Taught in Abu Dhabi 
Fall 2014;
14 Weeks
Federico Camia  UMW, 10:4011:55 am
Taught in Abu Dhabi
This course appears in...
 Concentrations > Disciplinary Concentrations > Engineering
 Majors > Civil Engineering > Required Math and Science Courses
 Majors > Economics
 Majors > Electrical Engineering > Required Math and Science Courses
 Majors > General Engineering > Required Math and Science Courses
 Majors > Mathematics
 Majors > Mechanical Engineering > Required Math and Science Courses
 Majors > Physics
 PreProfessional Courses > Premedical and Health Studies
Prerequisites
There are no prerequisites for this course.

Fall 2011;
14 Weeks

MATHAD 111 Calculus with Applications
This course presents the foundations of calculus by examining functions and their derivatives and integrals with a special emphasis placed on the utilitarian nature of the subject material. Applications to natural science, engineering, and the social sciences, particularly economics, are emphasized. Since the derivative measures the instantaneous rate of change of a function and the definite integral measures the total accumulation of a function over an interval, these two ideas form the basis for nearly all mathematical formulas in science, engineering, economics, and other fields. This course also provides instruction in how to model situations in order to solve problems. Applications include graphing, and maximizing and minimizing functions. In addition to two weekly lectures, students attend a weekly discussion section focused on applications of calculus in science, engineering, or social science, depending on their primary interest. Placement into Calculus with Applications is decided by discussion with mentors and the results of a mathematics placement examination.
May not be taken if MATHAD 110 Calculus is completed
This is a required course for Economics majors until the class of 2017. This course can be substituted with MATHAD 110 Calculus.
Please note: During Summer 2014, classes will be held on Thursday May 22 and Saturday May 24, and then on Sunday through Thursday from May 28June 19. Exams will be held on Saturday May 21.
This course has a discussion section.

Fall 2011;
14 Weeks
Saglar Bougdaeva, Christian Hess, Ravan de Roumefort  MTR, Social Science MTR 11:2012:35
Taught in Abu Dhabi 
Spring 2012;
14 Weeks
Saglar Bougdaeva, Sofiane Bouarroudj  UW, Social Sciences UW 1:102:25
Saglar Bougdaeva, Sofiane Bouarroudj  T, 8:159:30
Taught in Abu Dhabi 
Fall 2011;
14 Weeks
Saglar Bougdaeva, Kiryl Tsishchanka  MTR, Social Sciences MTR 1:102:25
Taught in Abu Dhabi 
Spring 2012;
14 Weeks
Saglar Bougdaeva, Sofiane Bouarroudj  UW, Social Sciences UW 1:102:25
Saglar Bougdaeva, Sofiane Bouarroudj  T, 1:002:15
Taught in Abu Dhabi 
Spring 2012;
14 Weeks
Sunil Kumar, Sofiane Bouarroudj  UTW, Science & Engineering UTW 1:102:25
Taught in Abu Dhabi 
Fall 2011;
14 Weeks
Kiryl Tsishchanka, Christian Hess, Ravan de Roumefort  MTR, Science MTR 11:2012:35
Taught in Abu Dhabi 
Fall 2011;
14 Weeks
Kiryl Tsishchanka, Christian Hess, Ravan de Roumefort  MTR, Science MTR 11:2012:35
Taught in Abu Dhabi 
Fall 2011;
14 Weeks
Kiryl Tsishchanka, Sunil Kumar  MTR, Engineering MTR 11:2012:35
Taught in Abu Dhabi 
Fall 2011;
14 Weeks
Christian Hess, Ravan de Roumefort  MTR, Science MTR 11:2012:35
Taught in Abu Dhabi 
Fall 2011;
14 Weeks
Christian Hess, Ravan de Roumefort  MTR, Science MTR 11:2012:35
Taught in Abu Dhabi 
Fall 2011;
14 Weeks
Sunil Kumar, Christian Hess, Ravan de Roumefort  MTR, Engineering MTR 11:2012:35
Taught in Abu Dhabi 
Fall 2012;
14 Weeks
Carl Gladish  TR, 9:5511:10 (Lecture)
Taught in Abu Dhabi 
Fall 2012;
14 Weeks
JeanFrancois Chassagneux  TR, 11:2012:35 (Lecture)
Taught in Abu Dhabi 
Fall 2012;
14 Weeks
Carl Gladish  U, 9:5511:10 (Recitation for Science Majors)
Taught in Abu Dhabi 
Fall 2012;
14 Weeks
JeanFrancois Chassagneux  U, 1:102:25 (Recitation for Science Majors)
Taught in Abu Dhabi 
Fall 2012;
14 Weeks
Sachin Khapli  U, 1:102:25 (Recitation for Engineering Majors)
Taught in Abu Dhabi 
Fall 2012;
14 Weeks
Nikolaos Mavridis  U, 2:353:50 (Recitation for Engineering Majors)
Taught in Abu Dhabi 
Fall 2012;
14 Weeks
Saglar Bougdaeva  U, 2:353:50 (Recitation for Economics Majors)
Taught in Abu Dhabi 
Spring 2013;
14 Weeks
Yves Le Jan  TR, 8:309:45 AM Lecture
Taught in Abu Dhabi 
Spring 2013;
14 Weeks
Julien Berestycki  TR, 11:2012:35 PM (Lecture)
Taught in Abu Dhabi 
Spring 2013;
14 Weeks
Saglar Bougdaeva  U, 4:105:25 PM (Social Science Recitation)
Taught in Abu Dhabi 
Spring 2013;
14 Weeks
Saglar Bougdaeva  U, 2:454:00 PM (Social Science Recitation)
Taught in Abu Dhabi 
Spring 2013;
14 Weeks
U, 4:005:15 PM (Engineering Recitation)
Taught in Abu Dhabi 
Spring 2013;
14 Weeks
U, 9:5511:10 AM (Science Recitation)
Taught in Abu Dhabi 
Fall 2013;
14 Weeks
Arman Mimar  MW, 9:55AM11:10AM (Section I)
Taught in Abu Dhabi 
Fall 2013;
14 Weeks
Erwan Biland  MW, 4:00PM 5:15PM (Section II)
Taught in Abu Dhabi 
Fall 2013;
14 Weeks
Kenan Jijakli  U, 9:55AM11:10AM (Engineering Recitation a)
Taught in Abu Dhabi 
Fall 2013;
14 Weeks
John F Carges  U, 4:15PM5:30PM (Engineering Recitation b)
Taught in Abu Dhabi 
Fall 2013;
14 Weeks
John F Carges  U, 9:55AM  11:10AM (Sciences Recitation a)
Taught in Abu Dhabi 
Fall 2013;
14 Weeks
John F Carges  U, 11:20AM  12:35PM (Science Recitation b)
Taught in Abu Dhabi 
Spring 2014;
14 Weeks
Julien Berestycki  MW, 11:2012:35 pm (Sem 1)
Taught in Abu Dhabi 
Spring 2014;
14 Weeks
Arman Mimar  TR, 8:309:45 am (Sem 2)
Taught in Abu Dhabi 
Spring 2014;
14 Weeks
John F Carges  U, 4:155:30 pm (Rct 2 for Eng)
Taught in Abu Dhabi 
Spring 2014;
14 Weeks
John F Carges  U, 8:309:45 am (Rct 1 for Science)
Taught in Abu Dhabi 
Spring 2014;
14 Weeks
John F Carges  U, 11:2012:35 pm (Rct 2 for Science)
Taught in Abu Dhabi 
Spring 2014;
14 Weeks
Pablo Ramirez  U, 9:5511:10 am (Rct for Social Science)
Taught in Abu Dhabi 
Summer 2014
Sofiane Bouarroudj  M, 22 & 24 RS 10:00 am12:00 pm/ RS 1:002:00 pm. May 28June 19 UMTWR 10:00 am12:00 pm/ UMTWR 1:002:00 pm.
Taught in Abu Dhabi 
Fall 2014;
14 Weeks
Esra Russell  MW, 10:4011:55 am (Sem 1); U 10:4011:55 am (Rec 1)
Taught in Abu Dhabi 
Fall 2014;
14 Weeks
Faisal Saied  MW, 2:103:25 pm (Sem 2); U 2:103:25 pm (Rec 2)
Taught in Abu Dhabi 
Fall 2014;
14 Weeks
Esra Russell  TR, 12:452:00 pm (Sem 3); U 2:103:25 pm (Rec 3)
Taught in Abu Dhabi
This course appears in...
 Concentrations > Disciplinary Concentrations > Applied Mathematics
 Concentrations > Disciplinary Concentrations > Engineering
 Majors > Biology
 Majors > Biology > Brain and Cognitive Science Specialization
 Majors > Chemistry
 Majors > Chemistry > Biochemistry Specialization
 Majors > Civil Engineering > Required Math and Science Courses
 Majors > Computer Engineering > Required Math and Science Courses
 Majors > Computer Science
 Majors > Economics
 Majors > Electrical Engineering > Required Math and Science Courses
 Majors > General Engineering > Required Math and Science Courses
 Majors > Mathematics > Courses for NonMajors
 Majors > Mechanical Engineering > Required Math and Science Courses
 Majors > Physics
 PreProfessional Courses > Premedical and Health Studies
Prerequisites
There are no prerequisites for this course.

Fall 2011;
14 Weeks

MATHAD 112 Multivariable Calculus
This course explores functions of several variables and has applications to science and engineering as well as economics. Specific topics include: vectors in the plane and space; partial derivatives with applications; double and triple integrals; spherical and cylindrical coordinates; surface and line integrals; and divergence, gradient, and curl. In addition, the theorems of Gauss and Stokes are rigorously introduced.
Students in the NYUNY Mathematics Dept: This course is equivalent to MATHUA 123 Calculus III
Please note: During Summer 2014, classes will be held on Thursday May 22 and Saturday May 24, and then on Sunday through Thursday from May 28June 19. Exams will be held on Saturday June 21. Duration: 4 weeks
This course has a discussion section.

Fall 2011;
14 Weeks
Christian Hess, JeanRenaud Pycke  MTR, 9:5511:10
Taught in Abu Dhabi 
Spring 2012;
14 Weeks
Sofiane Bouarroudj  MTR, 11:2012:35
Taught in Abu Dhabi 
Spring 2012;
14 Weeks
Sofiane Bouarroudj  MR, 11:2012:35
Sofiane Bouarroudj  T, 1:102:25
Taught in Abu Dhabi 
Fall 2012;
14 Weeks
David Cai  MW, 9:5511:10
Taught in Abu Dhabi 
Spring 2013;
14 Weeks
Sofiane Bouarroudj  TR, 11:2012:35 PM
Taught in Abu Dhabi 
Spring 2013;
14 Weeks
David Cai  TR, 9:5511:10 AM
Taught in Abu Dhabi 
Summer 2013
Arman Mimar  UMTWR, 10:0012:00
Taught in Abu Dhabi 
Summer 2013
Arman Mimar  UMTWR, 1:002:00 (Recitation)
Taught in Abu Dhabi 
Fall 2013;
14 Weeks
JeanRenaud Pycke  MW, 11:20 AM12:35 PM
Taught in Abu Dhabi 
Spring 2014;
14 Weeks
David Cai, Sofiane Bouarroudj  TR, 11:2012:35 pm
Taught in Abu Dhabi 
Spring 2014;
14 Weeks
David Cai, Sofiane Bouarroudj  TR, 1:102:35 pm
Taught in Abu Dhabi 
Summer 2014
Arman Mimar  M, 22 & May 24 RS 3:005:00 pm/ RS 5:006:30 pm. May 28June 19 UMWR 3:005:00 pm/ UMWR 5:006:15 pm.
Taught in Abu Dhabi 
Fall 2014;
14 Weeks
Arman Mimar  TR, 12:452:00 pm
Taught in Abu Dhabi
This course appears in...
 Concentrations > Disciplinary Concentrations > Applied Mathematics
 Majors > Biology
 Majors > Biology > Brain and Cognitive Science Specialization
 Majors > Chemistry
 Majors > Chemistry > Biochemistry Specialization
 Majors > Civil Engineering > Required Math and Science Courses
 Majors > Computer Engineering > Required Math and Science Courses
 Majors > Electrical Engineering > Required Math and Science Courses
 Majors > General Engineering > Required Math and Science Courses
 Majors > Mathematics
 Majors > Mechanical Engineering > Required Math and Science Courses
 Majors > Physics
Prerequisites
 Calculus
 Calculus with Applications

Fall 2011;
14 Weeks

MATHAD 116 Linear Algebra
In many applications of mathematics a response of some systems is nearly a linear function of the input. These linear systems, which arise in elasticity, in electrical engineering, and in economics for example, involve linear equations in many unknowns. The associated matrix algebra is a rich and beautiful field of mathematics. It is also central to the analysis of linear ordinary and partial differential equations. The material in this course includes systems of linear equations, Gaussian elimination, matrices, determinants, Cramer’s rule, vectors, vector spaces, basis and dimension, linear transformations, eigenvalues, eigenvectors, and quadratic forms.

Fall 2012;
14 Weeks
JeanFrancois Chassagneux  UW, 11:2012:35
Taught in Abu Dhabi 
Spring 2013;
14 Weeks
Shafer Smith  TR, 2:353:50 PM
Taught in Abu Dhabi 
Fall 2013;
14 Weeks
Alberto Gandolfi  TR, 11:20AM12:35PM
Taught in Abu Dhabi 
Fall 2013;
14 Weeks
Arman Mimar  TR, 4:00 5:15 PM
Taught in Abu Dhabi 
Spring 2014;
14 Weeks
Olivier Pauluis  TR, 11:2012:35 pm
Taught in Abu Dhabi 
Fall 2014;
14 Weeks
Arman Mimar  MW, 3:354:50 pm
Taught in Abu Dhabi 
Fall 2014;
14 Weeks
Diogo Arsénio  MW, 2:103:25 pm
Taught in Abu Dhabi
This course appears in...
 Concentrations > Disciplinary Concentrations > Applied Mathematics
 Majors > Civil Engineering > Required Math and Science Courses
 Majors > Computer Engineering > Required Math and Science Courses
 Majors > Electrical Engineering > Required Math and Science Courses
 Majors > General Engineering > Required Math and Science Courses
 Majors > Mathematics
 Majors > Mechanical Engineering > Required Math and Science Courses
 Majors > Physics
Prerequisites
 Calculus
 Calculus with Applications

Fall 2012;
14 Weeks

MATHAD 121 Ordinary Differential Equations
Ordinary differential equations arise in virtually all fields of applied mathematics. Newton’s equations of motion, the rate equations of chemical reactions, the currents flowing in electric circuits, all can be expressed as ordinary differential equations. The solutions of these equations usually evolve a combination of analytic and numerical methods. The course studies first and secondorder equations, solutions using infinite series, Laplace transforms, linear systems, numerical methods.
MATHAD 116 is a corequisite.
Students in the NYUNY Mathematics Dept: This course is equivalent to MATHUA 262 Ordinary Differential Equations.
This course has a discussion section.

Fall 2011;
14 Weeks
Michael Reiterer, Eugene Trubowitz  UTW, 11:2012:35
Taught in Abu Dhabi 
Fall 2012;
14 Weeks
Sofiane Bouarroudj  TR, 9:5511:10
Taught in Abu Dhabi 
Spring 2013;
14 Weeks
Julien Berestycki  TR, 9:5511:10 AM
Taught in Abu Dhabi 
Summer 2013
Sofiane Bouarroudj  UMTWR, 9:0011:00
Taught in Abu Dhabi 
Fall 2013;
14 Weeks
Sofiane Bouarroudj  TR, 9:55AM 11:10AM
Taught in Abu Dhabi 
Spring 2014;
14 Weeks
Arman Mimar  TR, 1:102:25 pm; T 5:457:15 pm (Rec)
Taught in Abu Dhabi 
Fall 2014;
14 Weeks
Sofiane Bouarroudj  MW, 10:4011:55 am
Taught in Abu Dhabi 
Fall 2014;
14 Weeks
Diogo Arsénio  MW, 12:452:00 pm
Taught in Abu Dhabi
This course appears in...
 Concentrations > Disciplinary Concentrations > Applied Mathematics
 Majors > Civil Engineering > Required Math and Science Courses
 Majors > Computer Engineering > Required Math and Science Courses
 Majors > Electrical Engineering > Required Math and Science Courses
 Majors > General Engineering > Required Math and Science Courses
 Majors > Mathematics
 Majors > Mechanical Engineering > Required Math and Science Courses
 Majors > Physics
Prerequisites
 Multivariable Calculus
 Linear Algebra

Fall 2011;
14 Weeks

MATHAD 131 Discrete Mathematics
An introduction to discrete mathematics, emphasizing proof and abstraction, as well as the applications to the computational sciences. Topics include: sets, relations, and functions; graphs and trees; algorithms, proof techniques, and order of magnitude analysis; Boolean algebra and combinatorial circuits; Formal logic, formal languages, and automata; combinatorics, probability, and statistics.

Fall 2012;
14 Weeks
JeanRenaud Pycke  TR, 11:2012:35
Taught in Abu Dhabi 
Fall 2013;
14 Weeks
JeanRenaud Pycke  MW, 9:55AM 11:10AM
Taught in Abu Dhabi 
Fall 2014;
14 Weeks
JeanRenaud Pycke  TR, 3:354:50 pm
Taught in Abu Dhabi
This course appears in...
 Majors > Computer Science
 Majors > Mathematics
Prerequisites
There are no prerequisites for this course.

Fall 2012;
14 Weeks

MATHAD 150 Introduction to Probability and Statistics
This course comprises a combination of the theory of probability and the mathematical foundations with techniques of modern statistical analysis. It is designed to acquaint the student with both probability and statistics in the context of their applications to the sciences. In probability: mathematical treatment of chance; combinatorics; binomial, Poisson, and Gaussian distributions; law of large numbers and the normal distribution; application to cointossing, radioactive decay, and so on. In statistics: sampling; normal and other useful distributions; testing of hypotheses; confidence intervals; correlation and regression; and applications to scientific, industrial, and financial data.
Students in the NYUNY Mathematics Dept: This course is equivalent to MATHUA 235 Probability and Statistics.

Spring 2013;
14 Weeks
Yves Le Jan  MW, 1:102:25 PM
Taught in Abu Dhabi 
Spring 2014;
14 Weeks
Yves Le Jan  MW, 4:155:30 PM
Taught in Abu Dhabi
This course appears in...
 Concentrations > Disciplinary Concentrations > Applied Mathematics
 Majors > Mathematics
 Majors > Physics
 PreProfessional Courses > Premedical and Health Studies
Prerequisites
 Multivariable Calculus

Spring 2013;
14 Weeks

MATHAD 201 Abstract Algebra 1
Algebra is a part of every field of mathematics, and has applications in the discrete systems of computer science. Fractions, together with their familiar laws of addition, multiplication, and division, provide an example of algebra. The complex numbers form another. This course introduces more general algebras, and their properties and applications. Topics considered in this course include groups, homomorphisms, automorphisms and permutation groups. Rings, ideals and quotient rings, Euclidean rings, and polynomial rings are also considered.
Students in the NYUNY Mathematics Dept: This course is equivalent to MATHUA 343 Algebra I.

Fall 2012;
14 Weeks
Sofiane Bouarroudj  MW, 9:5511:10
Taught in Abu Dhabi 
Fall 2013;
14 Weeks
Sofiane Bouarroudj  TR, 4:00PM5:15PM
Taught in Abu Dhabi 
Fall 2014;
14 Weeks
Sofiane Bouarroudj  TR, 9:1510:30 am
Taught in Abu Dhabi
This course appears in...
 Majors > Mathematics
Prerequisites
 Linear Algebra

Fall 2012;
14 Weeks

MATHAD 202 Abstract Algebra 2
One of the most remarkable applications of abstract algebra is the solution of algebraic equations: for example, to finding the roots of a polynomial. This course develops the ideas needed to study this problem, culminating in the celebrated theory of Galois. The topics include extension fields and roots of polynomials, constructions with straight edge and compass. Unique factorization in rings, elements of Galois theory.
This course appears in...
 Majors > Mathematics
Prerequisites
 Abstract Algebra 1

MATHAD 210 Introduction to Cryptography
An introduction to both the principles and practice of cryptography and its application to network security. Topics include: symmetrickey encryption (block ciphers, modes of operations, ES); message authentication (pseudorandom functions, CBCMAC); publickey encryption (RSA, EIGamal); digital signatures (RSA, FiatShamir); authentication applications (identification, zeroknowledge); and others, time permitting.
This course appears in...
 Majors > Mathematics
Prerequisites
 Algorithms

MATHAD 211 Dynamical Systems
Many of the complex systems of natural science can be formulated as a dynamical system—one whose changes are determined only by the current state. These systems are typically nonlinear, and often exhibit the random behavior associated with chaos. Topics of the course include: dynamics of maps and of firstorder and secondorder differential equations; stability, bifurcations, limit cycles, dissection of systems with fast and slow time scales. The geometric viewpoint, including phase planes, are stressed. Chaotic behavior is introduced in the context of onevariable maps (the logistic), fractal sets, etc. Applications are drawn from physics and biology.
This course appears in...
 Majors > Mathematics
 Majors > Physics
Prerequisites
 Ordinary Differential Equations
 Linear Algebra

MATHAD 212 Functions of Complex Variables
Complex analysis is a powerful tool with diverse applications in mathematics, science, and engineering. Functions of a complex variable arise in elasticity, electrical engineering, and in fluid dynamics, to name a few examples. The geometrical content of analysis in the complex plane is especially appealing. Topics include: complex numbers and complex functions; differentiation and the CauchyRiemann equations, Cauchy’s theorem, and the Cauchy integral formula; singularities, residues, Taylor and Laurent series; fractional linear transformations and conformal mapping; analytic continuation; and applications to fluid flow.
*Prerequistes: MATHAD 112 and MATHAD 116, or instructor's approval.

Spring 2014;
14 Weeks
Ilya Spitkosky  TR, 1:002:15 pm
Taught in Abu Dhabi
This course appears in...
 Majors > Mathematics
 Majors > Physics
Prerequisites
 Multivariable Calculus
 Linear Algebra

Spring 2014;
14 Weeks

MATHAD 213 Introduction to Mathematical Modeling
Often the most difficult part of the task of the applied mathematician is the formulation of an analyzable model in the face of a perplexing phenomenon or data set. This course is designed to give students an introduction to all aspects of this process. The course consists of several modules, each a selfcontained problem, taken from biology, economics, and other areas of science. In the process the student experiences the formulation and analysis of a model and its validation by numerical simulation and comparison with data. The mathematical tools to be developed include dimensional analysis, optimization, simulation, probability, and elementary differential equations. The necessary mathematical and scientific background is developed as needed. Students participate in formulating models as well as in analyzing them.
This course appears in...
 Majors > Mathematics
Prerequisites
 Multivariable Calculus

MATHAD 214 Numerical Methods
Numerical analysis explores how mathematical problems can be analyzed and solved with a computer. As such, the subject 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 is combined to study of topics ranging from simple rootfinding procedures to differential equations and the finite element method.

Fall 2013;
14 Weeks
Erwan Biland  TR, 8:159:30
Taught in Abu Dhabi 
Fall 2014;
14 Weeks
Faisal Saied  TR, 10:4011:55 am
Taught in Abu Dhabi
This course appears in...
 Majors > Mathematics
Prerequisites
 Multivariable Calculus
 Linear Algebra

Fall 2013;
14 Weeks

MATHAD 215 Number Theory
Perhaps the purest of pure mathematics, number theory nevertheless finds important application to cryptography and computer science generally. The recent solution of Fermat’s last theorem brought attention to the subject. In mathematics, number theory is associated with many outstanding problems, including the famous Riemann hypothesis. Topics to be covered include divisibility theory and prime numbers, linear and quadratic congruences, the classical numbertheoretic functions, continued fractions, and diophantine equations.
This course appears in...
 Majors > Mathematics
Prerequisites
 Linear Algebra

MATHAD 216 Partial Differential Equations
Many laws of physics are formulated as partial differential equations, e.g., the propagation of sound waves, the diffusion of a gas, and the flow of a fluid. This course discusses the simplest examples of such laws as embodied in the wave equation, the diffusion equation, and Laplace’s equation. The course also discusses nonlinear conservation laws and the theory of shock waves. Applications to physics, chemistry, biology, and population dynamics are given.

Spring 2014;
14 Weeks
Faisal Saied  MW, 1:102:25 PM
Taught in Abu Dhabi
This course appears in...
 Majors > Mathematics
 Majors > Physics
Prerequisites
 Ordinary Differential Equations

Spring 2014;
14 Weeks

MATHAD 218 Theoretical Mechanics
This course provides a mathematical introduction to Lagrangian and Hamiltonian mechanics, and their application to rigid body motion and systems of many degrees of freedom. Topics to be studied include the basic conservation laws, motions of a rigid body, Hamilton’s equations, Canonical transformations, and the HamiltonJacobi equation.
This course appears in...
 Majors > Mathematics
Prerequisites
 Ordinary Differential Equations
 Linear Algebra

MATHAD 231 Real Analysis 1
Analysis builds a more rigorous foundation for calculus and prepares the way for more advanced courses. The emphasis is on the careful formulation of the concepts of calculus, and the formulation and proof of key theorems. The goal is to understand the need for and the nature of a mathematical proof. The course studies the real number system, the convergence of sequences and series, functions of one real variable, continuity, connectedness, compactness, and metric spaces.
*Prerequistes: MATHAD 110 or MATHAD 111.

Fall 2012;
14 Weeks
Florent BenaychGeorges  TR, 1:102:25
Taught in Abu Dhabi 
Fall 2013;
14 Weeks
Ilya Spitkosky  MW, 1:10PM2:25PM
Taught in Abu Dhabi 
Fall 2014;
14 Weeks
Ilya Spitkosky  MW, 9:1510:30 am
Taught in Abu Dhabi
This course appears in...
 Majors > Mathematics
Prerequisites
 Calculus
 Calculus with Applications

Fall 2012;
14 Weeks

MATHAD 232 Real Analysis 2
The second part of the analysis series is devoted to the calculus of functions of several variables. The transition from a single variable to many variables involves important new concepts, which are essential to understanding applications to the natural world. Topics include the rigorous study of functions of several variables, limits and continuity, differentiable functions, the implicit function theorem, transformation of multiple integrals,

Spring 2014;
14 Weeks
Julien Berestycki  MW, 8:309:45 AM
Taught in Abu Dhabi
This course appears in...
 Majors > Mathematics
Prerequisites
 Real Analysis 1

Spring 2014;
14 Weeks

MATHAD 298299 Directed Study in Mathematics
This course is intended for students who are highly motivated and seek the opportunity to conduct field research with a faculty sponsor from the NYUAD program in Mathematics. Students with the necessary background in course work and who, in the opinion of a faculty sponsor, possess intellectual independence and ability may register for this course. The student must approach a faculty member in his or her field of interest to obtain sponsorship. Typically, this course is only open to students with a minimum overall GPA of 3.3 and a minimum major GPA of 3.5, and registration requires permission of the sponsoring faculty member. Forms for Directed Study in Research in Mathematics are available from the Office of the Dean of Science.

Spring 2014;
14 Weeks
Taught in Abu Dhabi 
Fall 2014;
14 Weeks
Taught in Abu Dhabi
This course appears in...
 Majors > Mathematics
Prerequisites
There are no prerequisites for this course.

Spring 2014;
14 Weeks

MATHAD 320 Special Topics in Math
Description pending.
This course appears in...
 Majors > Mathematics
Prerequisites
There are no prerequisites for this course.

MATHAD 331 Topology
Topology is a major branch of mathematics, which is concerned with the geometry of sets of points in space of arbitrary dimension. One aspect of the subject deals with the classification of sets based upon their structure, not their specific shape. Topology has applications in physics, biology, and dynamical systems. The material includes metric spaces, topological spaces, compactness, connectedness, covering spaces,
This course appears in...
 Majors > Mathematics
Prerequisites
 Real Analysis 1

MATHAD 390 Mathematics Capstone Seminar
The capstone seminar provides students with an overview of the diverse multidisciplinary research areas that have captured the interest and fascination of NYUAD mathematicians and others in related fields. Through exposure to NYUAD faculty research, students will identify potential areas of interest for their own capstone research, and over the course of the semester develop and put into writing an indepth mathematics capstone proposal. The final capstone proposal is due at the end of the seminar series so that students can begin the Capstone Project in the fall semester of their senior year. Beginning in 201415 all science majors are expected to take this course in the junior year; it will be offered every semester.

Fall 2014;
14 Weeks
W, 5:007:30 pm
Taught in Abu Dhabi
This course appears in...
 Majors > Mathematics
Prerequisites
There are no prerequisites for this course.

Fall 2014;
14 Weeks

MATHAD 400 Senior Capstone Research Project
The senior Capstone Experience in mathematics requires students to engage in a longterm, mentored learning experience. Students in the mathematics major are expected to engage with an active research topic and explore the existing literature. A senior thesis will be written according to the standards of articles published in major international journals.

Fall 2014;
14 Weeks
Taught in Abu Dhabi
This course appears in...
 Majors > Mathematics
Prerequisites
There are no prerequisites for this course.

Fall 2014;
14 Weeks

MATHAD 401 Senior Capstone Research Project
The senior Capstone Experience in mathematics requires students to engage in a longterm, mentored learning experience. Students in the mathematics major are expected to engage with an active research topic and explore the existing literature. A senior thesis will be written according to the standards of articles published in major international journals.
This course appears in...
 Majors > Mathematics
Prerequisites
There are no prerequisites for this course.

PHYSAD 300 Mechanics
Intermediatelevel course on the principles and applications of dynamics. Topics include the Lagrangian and Hamiltonian formulations of mechanics, conservation laws, central force motion, rotational kinematics and dynamics, normal modes and small oscillations, and chaos theory.
Prerequisites include MATHAD 116 or MATHAD 121
Students in the NYUNY Physics Dept: This course is equivalent to PHYSUA 120 Dynamics

Spring 2012;
14 Weeks
Joseph Gelfand  MR, 2:353:50
Taught in Abu Dhabi 
Spring 2013;
14 Weeks
Joseph Gelfand  MW, 9:5511:10 AM
Taught in Abu Dhabi 
Spring 2014;
14 Weeks
Francesco Arneodo  MW, 9:5511:10 AM
Taught in Abu Dhabi 
Fall 2014;
14 Weeks
Francesco Arneodo  TR, 10:4011:55 am
Taught in Abu Dhabi
This course appears in...
 Majors > Mathematics
 Majors > Physics
Prerequisites
 Foundations of Science 1: Energy and Matter
 Foundations of Science 2: Forces and Interactions
 Foundations of Science 5: Propagating Change
 Foundations of Science 6: Oscillations and Uncertainties
 Ordinary Differential Equations
 Foundations of Science 3: Systems in Flux
 Foundations of Science 4: Form and Function
 Linear Algebra

Spring 2012;
14 Weeks

POLSCAD 112 Introduction to Game Theory
This course introduces the basic concepts of elementary game theory in a way that allows students to use them in solving simple problems. Topics include: the basics of cooperative and noncooperative game theory; basic solution concepts such as Nash equilibrium and the core; and the extensions of these solutions to dynamic games and situations of incomplete information. Students are exposed to a variety of simple games with varied and useful applications: zerosum games; the Prisoner’s Dilemma; coordination games; the Battle of the Sexes; repeated games; and elementary signaling games. The course relies on a wide array of example applications of game theory in the social sciences.
Students who have a strong mathematical background but who do not have the required Calculus prerequisite are encouraged to contact Professor Chacon for a possible prerequisite waiver.
Students in the NYUNY Politics Dept: This course is equivalent to POLUA 840 Intro to Game Theory

Fall 2011;
14 Weeks
Rebecca Morton  MW, 8:159:30
Taught in Abu Dhabi 
Fall 1 2012;
7 Weeks
Charles Wilson  MW, 1:103:50
Taught in Abu Dhabi 
Fall 2013;
14 Weeks
Mario Chacon  MW, 1:102:25
Taught in Abu Dhabi
This course appears in...
 Concentrations > Disciplinary Concentrations > Economics
 Concentrations > Disciplinary Concentrations > Political Science
 Concentrations > Disciplinary Concentrations > Social Research and Public Policy
 Majors > Economics > Breadth Electives
 Majors > Mathematics
 Majors > Political Science > Methods Electives
 Majors > Social Research and Public Policy > Methods Electives
Prerequisites
 Calculus with Applications
 Mathematics for Social Sciences I

Fall 2011;
14 Weeks