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Department of Mathematics

Department of Mathematics

The Mathematics Department is dedicated to being a nucleus of research in diverse fields from basic research to the most innovative and emerging applied technologies, and to providing quality instructions in mathematics and fundamentals.

The Mathematics department is a unit within the College of Science at Khalifa University and hosts a vibrant community of scholars who actively engage in research and development within rapidly emerging scientific fields. Research in the Mathematics department is funded by local and international agencies. The department is actively working on setting up and developing modern experimental and computing research facilities. 

The department offers a B.Sc. program in Applied Mathematics & Statistics with two optional concentrations in Financial Mathematics and Mathematical Biology. Students may choose to complete a broad program of study leading to the award of a B.Sc. degree in Applied Mathematics & Statistics, or select one of the two concentrations in order to focus their final year in the program on a particular area of application.

Mathematics department faculty are members of prestigious worldwide professional organizations such as ACS, AMS, APS, IEEE, MRS, SIAM, AAPT and others, and several are winners of prestigious peer-reviewed research awards. The department is committed to disseminating mathematical knowledge through innovative teaching, excellence in research and friendly learning environment.

The BSc in Applied Mathematics and Statistics program offers training in mathematical problem-solving techniques with a reduced emphasis on abstract theory. The program is tailored to the student who will need to apply mathematical, statistical, and computational methods to practical problems.

Applied mathematics includes the theoretical portions of physics, chemistry, biomedicine, engineering, economics, finance, and a wide variety of other disciplines. Recent advances in computing technology have made the use of quantitative methods of even greater importance in these disciplines.

Prospects for employment opportunities for graduates in the mathematical and statistical sciences are excellent. There is a growing demand for professional mathematicians and statisticians in almost every sector of the job market, including the engineering and telecommunications industries; computer services and software development; actuarial and financial services; pharmaceutical industry and medical services; market research agencies; government laboratories and the military services; as well as academics and teaching.

Program Objectives

  • Graduates will meet the expectations of employers of applied mathematicians and statisticians.
  • Qualified graduates will pursue advanced study if they so desire.

Student Outcomes

Students graduating with a BSc in Applied Mathematics and Statistics will attain the following

  • An ability to apply knowledge of mathematics, statistics and computing
  • An ability to design statistical experiments, as well as to analyze and interpret data.
  • An ability to read, understand and construct mathematical and statistical proofs.
  • An ability to function on a multi-disciplinary team as a member or leader.
  • An ability to formulate, and to solve, mathematical models of real-world problems.
  • An understanding of professional and ethical responsibility.
  • An ability to communicate effectively.
  • The broad education necessary to understand the strengths and limitations of mathematical and statistical models, and their solutions, in a global and societal context.
  • A recognition of the need for, and an ability to engage in, life-long learning.
  • A knowledge of contemporary issues.
  • An ability to select, and use, appropriate software packages and/or computer programming to solve mathematical models.
  • Familiarity with, and use of, sources of current research and an understanding of how new knowledge is generated.

Career Opportunities

BSc in Applied Mathematics and Statistics - Base Concentration

Students in Applied Mathematics and Statistics complete their undergraduate education with superior analytical and problem-solving skills, a rare and highly-valued commodity in today's job market. Graduates work in industry, business, research laboratories, or government agencies as applied mathematicians and statisticians. Some graduates work in education, and some will continue their education in graduate programs in applied mathematics, statistics, or areas of application.

BSc in Applied Mathematics and Statistics - Financial Mathematics Concentration

In the banking and financial investment industries there are many, highly-paid, positions for suitably qualified analysts in portfolio optimization, option pricing, stock market prediction, loan risk management and currency trading. In the insurance industry, actuaries model the risks and potential returns associated with life insurance, pensions and private healthcare programs.

BSc in Applied Mathematics and Statistics - Mathematical Biology Concentration

The biotechnology and health industries are currently providing an increasing number of positions, especially in the field of biostatistics. There are also many employment opportunities in the fields of agricultural and food science, biomedical engineering, marine biology, pharmacy, environmental modeling and meteorology.

 

To be recommended for the degree of B.Sc. in Applied Mathematics & Statistics, students must satisfactorily complete the courses in the specified categories as set out below. The categories cover an extended set of requirements, including the Applied Mathematics & Statistics core and Technical Electives requirements. The normal length of the program is 140 credits.

Degree Requirements

To be recommended for the degree of BSc in Applied Mathematics and Statistics, students must satisfactorily complete the courses in the specified categories as set out below. The categories cover the University General Education Requirements and the Applied Mathematics and Statistics core and Technical Electives requirements. The normal length of the undergraduate BSc in Applied Mathematics and Statistics program is 134 credits, comprising 43 credits of University General Education Requirements (GER) and 91 credits of specific Major requirements.

University General Education Requirements (GER)

  1. English Communication (8 credits)

ENGL111

English Communication I

4 cr.

ENGL112

English Communication II

4 cr.

  1. Mathematics and Sciences (20 credits)

MATH111

Calculus I

4 cr.

MATH112

Calculus II

4 cr.

CHEM115

Introduction to General Chemistry for Engineers

4 cr.

PHYS121

University Physics I

4 cr.

PHYS122

University Physics II

4 cr.

  1. Business Studies (6 credits)

Two, three-credit, courses in Business Studies are required for all students, and one of these courses must be BUSS322 Innovation and Private Enterprise in Science.

  1. Humanities and Social Sciences (9 credits)

Three, three-credit, courses in Humanities and Social Sciences are required for all students.

Applied Mathematics and Statistics Requirements

  1. Additional Science, Computing and Business Requirements (10 credits)

Students must take the following three courses


Course Code

Course Title

Credit Hours

BIOL101

Fundamentals of Biology

3 cr.

ENGR113

Introduction to Computing using Matlab

4 cr.

BUSS201

Fundamentals of Accounting and Finance

3 cr.

  1. Science/Engineering Electives (12 credits)

Students can choose from the following list to satisfy their Science/Engineering Elective requirements for Applied Mathematics and Statistics.


Course Code

Course Title

Credit

BMED202

Biomedical Engineering Fundamentals

4 cr.

BMED211

Physiological Systems and Modeling I

4 cr.

BMED212

Physiological Systems and Modeling II

4 cr.

CHEM211

Organic Chemistry

4 cr.

CHEM311

Biochemistry

4 cr.

ECCE230

Object-Oriented Programming

3 cr.

ENGR200

Statics

3 cr.

ISYE331

Stochastic Processes

3 cr.

ISYE341

Simulation Analysis and Design

4 cr.

ISYE351

Production, Operations and Inventory Management

3 cr.

ISYE430

Supply Chain and Logistics

3 cr.

ISYE431

Forecasting and Time Series

3 cr.

ISYE441

Advanced Simulation

4 cr.

ISYE480

Financial Engineering

3 cr.

MECH201

Engineering Dynamics

3 cr.

MECH225

Mechanics of Solids

4 cr.

MECH240

Thermodynamics

3 cr.

MECH335

Fluid Dynamics

4 cr.

  1. Applied Mathematics and Statistics Core Requirements (54 credits)

Course Code

Course Title

Credit

MATH231

Calculus III

3 cr.

MATH204

Linear Algebra

3 cr.

MATH206

Differential Equations

3 cr.

MATH243

Probability and Statistical Inference

3 cr.

ISYE251

Operations Research I

4 cr.

MATH214

Mathematical and Statistical Software

3 cr.

MATH352

Elementary Theory and Applications of Functions of a Complex Variable

3 cr.

MATH314

Real Analysis and Probability

4 cr.

MATH315

Advanced Linear Algebra

3 cr.

MATH316

Partial Differential Equations

3 cr.

MATH317

Nonparametric Statistics

3 cr.

MATH318

Multivariate Statistics

3 cr.

MATH319

Numerical Analysis I

3 cr.

MATH399

Internship

1 cr.

MATH412

Optimization

3 cr.

MATH419

Numerical Analysis II

3 cr.

MATH450

Senior Project I

3 cr.

MATH451

Senior Project II

3 cr.

Applied Mathematics and Statistics Technical Electives (15 credits)

To satisfy the BSc in Applied Mathematics and Statistics Technical Elective requirement, students must take courses from the following list. Students may be allowed to choose technical electives from the Financial Mathematics concentration and Mathematical Biology concentration with department approval.


Course Code

Course Title

Credit

MATH411

Modern Algebra

3 cr.

MATH413

Game Theory

3 cr.

MATH414

Discrete Mathematics

3 cr.

MATH415

Design of Experiments

3 cr.

MATH416

Sample Survey Design and Analysis

3 cr.

Applied Mathematics and Statistics - Financial Mathematics (Concentration)

Students may select a Financial Mathematics Concentration before selecting the Science/Engineering Electives. A concentration at the Khalifa University of Science and Technology leads to a specialized award or degree and will be specified on the diploma and the student’s academic record.

The Financial Mathematics concentration requires the student to select BUSS150 as their Business Elective and ISYE480 from the list of Science/Engineering Electives and replace all technical electives with the following five courses.

Course Code

Course Title

Credit

MATH421

Econometrics

3 cr.

MATH422

Stochastic Differential Equations

3 cr.

MATH423

Financial Risk Analysis

3 cr.

MATH424

Optimal Control Theory

3 cr.

MATH425

Financial Portfolio Management

3 cr.

Applied Mathematics and Statistics – Mathematical Biology (Concentration)

Students may select a Mathematical Biology Concentration before selecting their Science/Engineering Electives. The Mathematical Biology concentration requires the student to select BMED202, BMED211 from the list of Science/Engineering Electives and replace all technical electives with the following five courses.


Course Code

Course Title

Credit

MATH431

Computational Methods in Biology

3 cr.

MATH432

Mathematical Models in Biology

3 cr.

MATH433

Biostatistics

3 cr.

MATH434

Bioinformatics

3 cr.

MATH435

Mathematical Imaging

3 cr.

Academic Faculty

Rachad Zaki
Assistant Professor
 
02-4018067

Faisal Shah Khan
Assistant Professor 
 
02-4018112

Joel Lucero-Bryan
Assistant Professor 

02- 5018565

Samuel Feng
Assistant Professor   

02-4018221

Anoop Sivasankaran
Assistant Professor 

02 5018443

Waldo Arriagada Silva
Assistant Professor  

02-5018439

Zanin Kavazovic
Assistant Professor 

02-4018156

Oluwaseun Sharomi
Assistant Professor 
 
02-5018339

Mohamed Kamel Riahi
Assistant Professor 

02-4018228

Jianyi Lin
Math & Stats
Assistant Professor 

02-4018217

Mohammad Al Khaleel
Assistant Professor 

02-5018445

Abdullahi Umar
Associate Professor  

02-6075134

Alip Mohammed
Assistant Professor 

971-2-607-5348 

Alrazi Abdeljabbar
Assistant Professor 

026075268

David Allison
Assistant Professor 
 
02 6075691

Davide Batic
Assistant Professor  

02-675794

Fawaz Hjouj
Assistant Professor 
 
97126075186

Gary Miller
Assistant professor 
 
02607 5620

Mohamed Soufiane Jouini
Assistant Professor 
 
026575232

Ryan Fernandes
Associate Professor 
  
02 607 5274

Khaled Dib
Assistant Prof 
 
026075671

Robert Bennell
Interim Associate Dean of UG Studies
 
02-5018172

Mohd Halim Shariff
Interim Chair of Mathematics
 
02-5018333

Andriy Didenko
Associate Chair
 
02-6075-341

Lecturers

Mo’tassem Al-Arydah
Senior lecturer  
  

Ahmed Ameur
Lecturer  
 
971 2 607 5648

Denis Blouin
Math Lecturer 

02-6075342 (PI)

John Clark
Mathematics Lecturer
 
97126075156

Neville Martin
Lecturer  

  02 675347

Mariam Helal Al Hanai
Lecturer  
 
02-6075125

Nadia Nwayhed
Math Lecturer  
 
025012212 

Samira Stitou
Lecturer 

02-6075178

The following is a typical study sequence for a student enrolled B.Sc. in Applied Mathematics and Statistics

B.Sc. in Applied Mathematics & Statistics - Base Concentration

Year 1

ENGL111 English Communication I

4 cr.

ENGL112 English Communication II

4 cr.

MATH111 Calculus I

4 cr.

MATH112 Calculus II

4 cr.

CHEM115 Introduction to General Chemistry for Engineers

4 cr.

PHYS121 University Physics I

4 cr.

BIOL101 Fundamentals of Biology

3 cr.

ENGR113 Introduction to Computing using Matlab

4 cr.

Summer

HUMAXXX Humanities and Social Sciences

3 cr.

 

Year 2

MATH231 Calculus III

3 cr.

MATH352 Elementary Theory and Applications of Functions of a Complex Variable

3 cr.

MATH204 Linear Algebra

3 cr.

MATH206 Differential Equations

3 cr.

MATH243 Probability and Statistical Inference

3 cr.

ISYE251 Operations Research I

4 cr.

PHYS122 University Physics II

4 cr.

BUSS201 Fundamentals of Accounting and Finance

3 cr.

HUMAXXX Humanities and Social Sciences

3 cr.

MATH214 Mathematical and Statistical Software

3 cr.

Summer

HUMAXXX Humanities and Social Sciences

3 cr.

 

Year 3

MATH314 Real Analysis and Probability

4 cr.

MATH316 Partial Differential Equations

3 cr.

MATH315 Advanced Linear Algebra

3 cr.

MATH317 Nonparametric Statistics

3 cr.

MATH318 Multivariate Statistics

3 cr.

MATH319 Numerical Analysis I

3 cr.

Science/Engineering Elective

4 cr.

Science/Engineering Elective

4 cr.

BUSSXXX Business Elective

3 cr.

Science/Engineering Elective

4 cr.

Summer

MATH399 Internship

1 cr.

 

Year 4

BUSS322 Innovation and Private Enterprise in Science

3 cr.

MATH413 Game Theory

3 cr.

MATH419 Numerical Analysis II

3 cr.

MATH414 Discrete Mathematics

3 cr.

MATH412 Optimization

3 cr.

MATH415 Design of Experiments

3 cr.

MATH411 Modern Algebra

3 cr.

MATH416 Sample Survey Design and Analysis

3 cr.

MATH450 Senior Project I

3 cr.

MATH451 Senior Project II

3 cr.

 

 BSc in Applied Mathematics and Statistics - Financial Mathematics Concentration

Year 1

ENGL111 English Communication I

4 cr.

ENGL112 English Communication II

4 cr.

MATH111 Calculus I

4 cr.

MATH112 Calculus II

4 cr.

CHEM115 Introduction to General Chemistry for Engineers

4 cr.

PHYS121 University Physics I

4 cr.

BIOL101 Fundamentals of Biology

3 cr.

ENGR113 Introduction to Computing using Matlab

4 cr.

Summer

HUMAXXX Humanities and Social Sciences

3 cr.

 

Year 2

MATH231 Calculus III

3 cr.

MATH352 Elementary Theory and Applications of Functions of a Complex Variable

3 cr.

MATH204 Linear Algebra

3 cr.

MATH206 Differential Equations

3 cr.

MATH243 Probability and Statistical Inference

3 cr.

ISYE251 Operations Research I

4 cr.

PHYS122 University Physics II

4 cr.

BUSS201 Fundamentals of Accounting and Finance

3 cr.

HUMAXXX Humanities and Social Sciences

3 cr.

MATH214 Mathematical and Statistical Software

3 cr.

Summer

HUMAXXX Humanities and Social Sciences

3 cr.

 

Year 3

MATH314 Real Analysis and Probability

4 cr.

MATH316 Partial Differential Equations

3 cr.

MATH315 Advanced Linear Algebra

3 cr.

MATH317 Nonparametric Statistics

3 cr.

MATH318 Multivariate Statistics

3 cr.

MATH319 Numerical Analysis I

3 cr.

Science/Engineering Elective

4 cr.

Science/Engineering Elective

4 cr.

BUSS150 Introduction to Economics

3 cr.

ISYE480 Financial Engineering

3 cr.

Summer

MATH399 Internship

1 cr.

 

Year 4

BUSS322 Innovation and Private Enterprise in Science

3 cr.

MATH422 Stochastic Differential Equations

3 cr.

MATH419 Numerical Analysis II

3 cr.

MATH423 Financial Risk Analysis

3 cr.

MATH412 Optimization

3 cr.

MATH424 Optimal Control Theory

3 cr.

MATH421 Econometrics

3 cr.

MATH425 Financial Portfolio Management

3 cr.

MATH450 Senior Project I

3 cr.

MATH451 Senior Project II

3 cr.

 

BSc in Applied Mathematics and Statistics - Mathematical Biology Concentration

Year 1

ENGL111 English Communication I

4 cr.

ENGL112 English Communication II

4 cr.

MATH111 Calculus I

4 cr.

MATH112 Calculus II

4 cr.

CHEM115 Introduction to General Chemistry for Engineers

4 cr.

PHYS121 University Physics I

4 cr.

BIOL101 Fundamentals of Biology

3 cr.

ENGR113 Introduction to Computing using Matlab

4 cr.

Summer

HUMAXXX Humanities and Social Sciences

3 cr.

 

Year 2

MATH231 Calculus III

3 cr.

MATH352 Elementary Theory and Applications of Functions of a Complex Variable

3 cr.

MATH204 Linear Algebra

3 cr.

MATH206 Differential Equations

3 cr.

MATH243 Probability and Statistical Inference

3 cr.

ISYE251 Operations Research I

4 cr.

PHYS122 University Physics II

4 cr.

BUSS201 Fundamentals of Accounting and Finance

3 cr.

HUMAXXX Humanities and Social Sciences

3 cr.

MATH214 Mathematical and Statistical Software

3 cr.

Summer

HUMAXXX Humanities and Social Sciences

3 cr.

 

Year 3

MATH314 Real Analysis and Probability

4 cr.

MATH316 Partial Differential Equations

3 cr.

MATH315 Advanced Linear Algebra

3 cr.

MATH317 Nonparametric Statistics

3 cr.

MATH318 Multivariate Statistics

3 cr.

MATH319 Numerical Analysis I

3 cr.

BMED202 Biomedical Engineering Fundamentals

4 cr.

BMED211 Physiological Systems and Modeling

4 cr.

BUSSXXX Business Elective

3 cr.

Science/Engineering Elective

4 cr.

Summer

MATH399 Internship

1 cr.

 

Year 4

BUSS322 Innovation and Private Enterprise in Science

3 cr.

MATH432 Mathematical Models in Biology

3 cr.

MATH419 Numerical Analysis II

3 cr.

MATH433 Biostatistics

3 cr.

MATH412 Optimization

3 cr.

MATH434 Bioinformatics

3 cr.

MATH431 Computational Methods in Biology

3 cr.

MATH435 Mathematical Imaging

3 cr.

MATH450 Senior Project I

3 cr.

MATH451 Senior Project II

3 cr.

 

Research in the AMS Department is funded by local and international agencies and the department is actively working to setting up and developing modern experimental and computing research facilities. AMS faculty are members of prestigious world-wide professional organizations such as ACS, AMS, APS, IEEE, MRS, SIAM, AAPT and others, and several are winners of prestigious peer-reviewed research awards.

Research interests of the AMS faculty are as follows:

Faculty Member

Research Areas

Dr. Robert Bennell

  • Algorithms for practical approximation of curves and surfaces

Dr. Faisal Shah Khan

  • Quantum Information and Communication Technology (Q-ICT)
  • Non-cooperative Game Theory
  • Categorical Reasoning in Quantum Physics and General Relativity

Dr. Rachad Zaki

  • Homogenization
  • Perforated domains
  • Multiple scales
  • Partial differential equations

Dr. Joel Gregory Lucero-Bryan

  • Modal Logic
  • General Topology
  • Relational Structures

Dr. Mohd Shariff

  • Elasticity
  • Continuum Modelling,
  • Damage Mechanics
  • Finite Element
  • Numerical Methods (including large scale computing/parallel computing),
  • Application of AI in Metal Forming
  • Optimization Methods,
  • Digital Phase Locked Loop.

Dr. Samuel Feng

  • Stochastic processes in modeling and understanding decision making
  • Large scale computation
  • Limitations on artificial and human intelligence

Dr. Anoop Sivasankaran

  • Celestial Mechanics
  • Dynamical Systems
  • Gravitational few-body problems

Dr. Waldo Arriagada

  • Dynamical Systems and ODE’s
  • Complex Geometry

Dr. Oluwaseun Sharomi

  • Mathematical Modeling: Epidemiology (HIV, Chlamydia, Tuberculosis, H1N1)
  • High Performance Computing (Parallel Computing)
  • Problem Solving Environment (PSE)
  • Heart Simulation

Dr. Gary Miller

  • Multilinear Algebra
  • Symmetry methods, Integrating factors, and Conversation lows for differential equations
  • Finsler Geometry

Dr. Fawaz Hjouj

  • Numerical Methods
  • Radon Transform and Tomography

Dr. Davide Batic

  • General Relativity/Differential Geometry
  • Quantum Field Theory in curved space-times
  • Spectral theory of Schrödinger, Dirac and Klein-Gordon operators
  • Complex differential equations
  • Electromagnetic levitation

Dr. Alip Mohammed

  • Functions of a complex variables
  • Several complex variables and analytic spaces
  • Partial differential equations
  • Operations research, Mathematical programming

Dr. Mohamed Kamel RIAHI

  • Partial Differential Equations: Finite element methods, Finite difference methods, Integral equations, Numerical Analysis
  • Mathematical physics: Reaction diffusion systems, Fluid-structure interaction, Heat and Mass Transfer, Computational fluid dynamics, Acoustic wave propagation, Electromagnetism & Eddy-current
  • Robust solver:  Domain decomposition method, Parareal in time method, High performance computing, Parallel programming
  • Optimization and Inverse problems: Optimal Control, Shape optimization, Parameters Estimation

Dr. Mohamed Soufiane Jouini

  • Image processing
  • Digital Rock Physics and porous media

Dr. Zanin Kavazovic

  • Mathematical Modeling : Heat and Mass Transfer; Hot Pressing of Wood-based Panels; Drying and Deformation of Wooden Boards;
  • Finite Element Method

Dr. Andriy Didenko

  • Mathematical educations
  • Integro-differential equations of fractional order
  • Integral transforms
  • Functional analysis

Dr. Mohammad Al-Khaleel

  • Numerical Solutions; high performance computations and efficient numerical algorithms for Differential Equations (parallel and sequential)
  • Circuit Simulations and Computer Arithmetic
  • Functional Analysis and Fixed Point Theory

Dr. Jianyi Lin

  • Computational complexity of geometric clustering
  • Sparse representation techniques
  • Computational methods for bioinformatics
  • Stochastic models for pattern statistics
  • Machine learning

Dr. Abdullahi Umar

  • Algebraic Semigroup Theory
  • Discrete Mathematics

Dr. Ryan I. Fernandes

  • Numerical Analysis
  • Numerical Solution of Partial Differential Equations
  • Scientific Computing Applications