Applied Mathematics - Minor Applied Statistics and Data Analysis

Overview

In alignment with the vision of Palestinian higher education to meet the evolving needs of society and the local and regional markets, and in response to the advancements in both governmental and private institutions, as well as the growth of the private sector and its enterprises, there is an increased demand for scientific planning utilizing modern tools. This necessitates the collection and analysis of information through scientifically sound methods to understand the current reality, derive insights, and make informed predictions. In light of these trends, the College of Applied Sciences addressed this need by launching a program focused on applied statistics and data science – an important program in various sectors, serving as a crucial element in administrative and institutional work irrespective of the specific field.

Statistics is a discipline that instructs students on how to study and analyze data accurately and systematically in an academic manner. It teaches them the methodologies of sampling and modeling, with the ultimate goal being to make informed decisions.

This program plays a significant role across all fields. Fundamentally grounded in the use of mathematics and data, it enables the determination of the probability of future events. For instance, collecting and analyzing accurate data provides a simplified outlook on upcoming weather conditions that is easily comprehensible to everyone. Statisticians contribute substantially to medical research by assisting scientists in evaluating the effectiveness of new drugs against diseases. Moreover, specialists delve into the economic and marketing aspects of companies and factories, providing insights and recommendations to decision-makers with the goal of enhancing profits and customer satisfaction. In essence, statistics is a science that guides individuals in making informed decisions, regardless of their specific professional domain.

Program Message:

Our program is dedicated to meeting the needs of the local and regional community by producing skilled professionals in statistics and statistical analysis. Our graduates are equipped to bring about positive change in human development, environmental impact, and economic growth.

Objectives

Contribute to realizing the university's vision and mission.
Serve the local community by producing well-qualified professionals in the field of applied statistics.
Foster communication and integration between the university and the local community.
Expand opportunities for Tawjihi graduates to pursue advanced studies.
Contribute to sustainable development within society.
Educate Palestinian society about the significance of statistics.

Career Opportunities for Graduates

- Ministry of Education (Education and Administration)
- Governmental institutions (Ministries and Hospitals)
- Civil institutions (Municipalities and Associations)
- Palestinian Central Bureau of Statistics
- Research Centers, Banks, Insurance Companies, Financial Institutions
- Stock Exchange, Financial and Economic Analysis
- Research and Scientific Institutions
- Senior Administrative Centers
- Opinion Polling Centers

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