Master of Mathematics | Palestine Polytechnic University

Overview

As the number of students at local universities, community colleges, and academic institutions is increasing in Palestine, and as a result of the continuing growth of universities in programs and majors, and in line with the university vision. The need has increased sharply for higher degrees in mathematics. To meet this demand, PPU launched the mathematics master program in the year 2006, to contribute in fostering and promoting this prominent major among Palestinian graduates to meet the increasing demand for highly skilled mathematics teachers and researchers, and to serve related technical fields.

Admission Requirements

Student should have bachelor’s degree in Mathematics (or any related discipline) with cumulative average of good or above or its equivalent.
Fulfilling the English Language requirement by either passing the TOFEL Test or one of the standard international tests, or by studying and passing the course “English for Graduate Students”.

Research Possibilities:

The program provides the right environment in conducting research under the supervision of skilled professors and researchers in the areas of applied, theoretical, and computational mathematics and statistics.

For further information, please feel free to contact:

Dr. Monjed H. M. Samuh

Associate Professor of Statistics

Palestine Polytechnic University

Hebron, Palestine

P. O. Box 198

E-mail: monjedsamuh@ppu.edu,

Web site: http://staff.ppu.edu/monjedsamuh/

Objectives

Graduate specialized and skilled academic staff in Mathematics.
Encourage candidates to study at home country while working.
Promote and foster scientific research among university graduates.
Provide the convenience for qualified candidates to study at closer proximity to home.
Qualify students to pursue a PhD in Mathematics, Statistics, or any related field.

Outcomes

تطبيق المعارف في الرياضيات وتطوير مجالات الحياة العلمية والثقافية والفنية.
تحقيق التقدم الاقتصادي والنهوض بالدولة الفلسطينية ومؤسساتها.
إعداد جيل قادر على البحث العلمي لمواكبة التطورات على الصعيد المحلي والدولي.
يفتح هذا البرنامج مجالات عدة في الرياضيات للأبحاث منها: نظرية الزمرة والجبر بشكل عام والرياضيات التطبيقية والتحليل الدالي والتحليل العددي.

Career Opportunities for Graduates

Lecturer at universities, community colleges and high schools.
Work at the Directorate of Education in the areas of administration or supervision.
Work at the Central Bureau of Statistics.
The opportunity to pursue his/her Ph.D. degree at international universities.

Academic Plan

متطلبات التخصص الاجبارية Credit hours: 18 Courses: 7

Course No	Course Name	Credit hours	Course Description
6002	Real Analysis 1	0
6601	Applied Mathematics1	3	Partial differential equations in two variables, Method of separation of variables, Fourier series, Greens function, Monges equations, Fourier and Laplace transforms for solving P.D. equations and their applications
6602	Real Analysis	3	Set functions, Outer measure, Measurable sets and measurable function, Lebesgue measure, Borel measure, Measurable functions, Integration, Convergence theorems, Banach space, Minkowski's inequality and Holder 's inequality, Spaces, Differentiation and absolute continuity, Functions of bounded variation, Convex functions.
6603	Probability Theory	3	Kolmogorovs axioms, Random variables, Probability distributions, Mathematical expectation, Independence, Boral-Cantelli theorem, Characteristic functions, Types of convergence, Laws of large numbers, Central limit theorem.
6604	Abstract Algebra 1	3	Groups: Algebraic structure, Centralizer, commutator, Normal subgroups, Homomorphism and isomorphism, Group action, Sylow's theorems, Direct products, Finitely Generated Abelian groups.
6605	Numerical Analysis	3	Solving linear systems of equations, Iterative techniques for solving linear systems, Approximating eigenvalues, Numerical solutions of nonlinear systems of equations, Finite differences.
6606	Complex Analysis 1	3	Complex numbers and their representation, Complex functions and their derivatives, Analytic functions and Cauchy-Riemann equations, Conformal Mappings, Linear fractional transformations , Complex Integration and Cauchys' theorems, Singularities.

متطلبات التخصص الاختيارية Credit hours: 12 Courses: 10

Course No	Course Name	Credit hours	Course Description
6610	Linear Algebra	3	Matrix algebra, Determinants, Inverse of a matrix, Euclidean and unitary spaces, Linear transformation, Jordan forms, Calay-Hamilton theorem, Simple matrices, Positive definite matrices, Hermitian matrices, Unitary and normal matrices, Schurs decomposition, Jordans decomposition.
6611	Applied Mathematics 2	3	Approximation method, Expansion approximation, Watson's method, Laplace method, Fourier integral. WKB method, perturbation method
6613	Integral Equations	3	Voltera Equations, Fredholm Equations, Solving Integral Equations by Substitution and Approximation, Applications on Integral Equations, Millin Transforms and Applications, Hankel Transforms and Applications.
6614	Abstract Algebra 2	3	Review of basic rings and ideals, R-modules, Products and sums of R-modules, Exact sequences and split exact sequences, Simple and semi simple R-modules, Essential and small sub modules, The ring of endomorphism of an R-modules, Projective and injective modules, Regular rings, The radical of an R-module, Noetherian and Artinian R-modules
6615	Topology	3	Topological spaces, Neighborhoods, Bases and subbases, Continuous functions, Product spaces, Weak topologies, Nets and filters, Separation axioms, Regular and completely regular spaces, Lindel of spaces, Compact spaces, and countably compact spaces, Sequentially and countably spaces, One point Compactification, Para compact spaces, Connected spaces.
6616	Complex Analysis 2	3	Maximum modulus principle, Schwarzs lemma, Phragmen-Lindelof theorem. Spaces of analytic functions, Riemann mapping Theorem, Runges theorem and Mittag-Leffers theorem, Analytic continuation and Mondromy theorem, Harmonic functions and Drichlet problem.
6617	Functional Analysis	3	Metric spaces, Norm spaces, Banach spaces, linear operators and linear functionals, Inner product spaces, Hilbert spaces, Representation of functions on Hilbert spaces, Hahn-Banach theorem, Uniform bounded principle, Open mapping and closed graph theorems, Fixed point theorem.
6618	Mathematical Statistics	3	One variable and multivariate distributions, Methods of estimation, Properties of estimators, Hypothesis testing, Properties of tests, Relationship between confidence regions and tests, Large sample properties of tests and estimators
6619	Operations Research	3	Advanced programming: Bases of linear programming, Revised simplex method, Bounded variables, Parametric linear programming. Decision theory: Decision under risk, Decision tree. Game theory, Inventory models, Queueing theory, Optimization techniques.
6650	Special Topics in Mathematics	3	advanced topics chosen from analysis that suit students’ and teachers’ interests.

متطلبات المسار Credit hours: 6 Courses: 4

Course No	Course Name	Credit hours
6696	Seminar 1	3
6697	Seminar 2	3
6698	Comprehensive Exam	0
6699	Thesis	6

متطلبات الماجستير Credit hours: 3 Courses: 1

Course No	Course Name	Credit hours	Course Description
4351	English for Graduate Students	3