Mathematics
Duration: 48 Months (4 Years)
Degree Awarded: Bachelor

University Requirements

Student must complete 18 credit hours
Course Code Course Name Credit Hours Prerequests
10032100 Remedial English 0
3
This course aims to establish the concept of Islamic culture and its position among the other international cultures, its position in the Muslim life, its sources, its bases and its characteristics.This course aims to introduce the Islamic culture in faith, worship, relations, morals, and knowledge, to discuss the clash between cultures in addition to Globalization, Human Rights, Woman Rights, Democracy and other contemporary issues.
3
This course aims to improve the level of students in language skills and various literary, read and absorb and express written, and oral and tasted literary, through texts flags authors and poets in different eras, lessons in Grammar and spelling, and brief definition months dictionaries and Arab old ones the modern and how to use them,This course aims to implement the Arabic language in the areas of reading and expression of both types oral and written communication.
3
This course begins with a review of all types of sentences in English, and then proceeds to paragraph writing. Students learn how to write a topic sentence, develop and support it with examples.This course aim to learn student how to organize their writing and speaking to achieve coherence among sentences in a paragraph. In addition, students learn about their subject a lot of technical terms. ( this aim is related with general objects no 7 of this curriculum)
3
The course is mandatory for university students from various disciplines, so it does provide students with knowledge and information about the Palestinian reality and in particular the political developments of the Palestinian cause since its inception until the present day in line social and economic developments and political which constitute the main pillars for the study of the Palestinian political reality.This course aims to study Palestinian issue from its begging until present day in social, economic and political issue.
11000108 Community Service 1
11000117 Leadership and Communication Skills 1
11000127 Introduction to Computer Science 1
11000328 English Language II 3

Speciality Requirements

Student must complete 84 credit hours
Course Code Course Name Credit Hours Prerequests
3
This course covers the concepts of function, inverse function, models, limits, continuity and derivatives. Also the differentiation rules and their applications, related rates, linear approximation and hyperbolic functions. In addition to the mean value theorem, indeterminate forms and L' Hospital's rule, curve sketching and optimization problems.
3
    • 10211101
Definite integral and its properties, limited integration, integration of compensation, the space between two curves, volumes of revolution, ways of integration (integration by parts, integration of partial fractures, integration of trigonometric functions and integration with compensation trigonometric functions), integrals ailing, the length of the curve and the area of surfaces of revolution, final sequences and series, tests of convergent series, power series, Taylor series
3
    • 10211102
Topics covered in this course include: parametric equations and polar coordinates; vectors in R2 and R3 & surfaces; vector-valued functions; partial differentiation with applications; multiple integrals.
3
    • 10211201
Topics covered in this course include: classifications and solutions of first-order ordinary differential equations with applications; higher-order and solutions; power series solutions; Laplace transforms; solutions of systems of linear differential equations.
3
    • 10211101
Topics covered in this course include: logic and proofs; set theory, relations and functions; cardinality and examples on mathematical structures.
3
    • 10211211
Topics covered in this course include: properties of real numbers; open and closed sets; sequences; limits and continuity; differentiation; Riemann integral.
3
    • 10211102
Topics covered in this course include: fundamentals of programming; algorithms, types of data and control statements, dimensions, functions and subroutines; some mathematical software with applications.
3
    • 10211211
Topics covered include: matrices, vectors and elementary row operations; operations on matrices; determinants and inverses of matrices; systems of linear equations and method of solutions; vector spaces, linear independence and basis; linear transformations, kernel and range; Eigen values and eigenvectors.
3
    • 10211211
Topics covered in this course include: binary operations; groups, subgroups, finite groups, cyclic groups, symmetric groups, factor groups, normal subgroups; group homomorphism; Sylow theorems.
3
    • 10211202 or
    • 10211203
Topics covered in this course include: the formation of a partial differential equation; methods of solutions of first order linear and nonlinear partial differential equations; methods of solutions of second order linear and nonlinear partial differential equations; Fourier series and transforms; wave equation, Laplace’s equation, potential equation, equation of an infinite wire, heat equation.
3
    • 10211212
Topics covered in this course include: metric spaces; Riemann-Stetitges integral; functions of bounded variations; sequences and series of functions.
3
    • 10211212
Topics covered in this course include: properties of complex numbers; complex functions, derivatives and Cauchy-Riemann equations; elementary functions and elementary transformations; complex integrals, residue theorem and improper integrals; power series.
3
    • 10211241 or
    • 10211220
Topics covered in this course include: numbers, Binary, Octal and Hexadecimal number systems; floating point arithmetic, Errors, sources and types; solving nonlinear equations, direct and indirect methods in solving systems of linear equations, solving systems of nonlinear equations; approximation and interpolations, numerical integration.
3
    • 10211241
Topics covered in this course include: problem formulation; graphic solution; simplex method; duality theorem; linear sensitivity analysis and algebraic representation; transportation and assignment problems; network (PERT and CPM); game theory.
3
    • 10211242
Topics covered in this course include: rings, sub-rings, ideals, division rings, factor rings; ring homo-morphisms; maximal ideals, principal ideal rings, principal ideal domains; polynomial rings, extension of fields.
3
    • 10211211
Topics covered in this course include: divisibility and prime numbers; Chinese remainder theorem; congruence; Euler's theorem, Fermat’s theorem, Wilson’s theorem; linear congruence: congruent and non-congruent solutions; arithmetic functions; special numbers: perfect, deficient abundant and Mersenne numbers.
3
    • 10211212
This course covers topological spaces, basis and sub-basis; functions and homomorphism; separation and countability axioms; connectedness and compactness; Hausdorff space, metric spaces and product spaces.
3
    • 10211211
Topics covered in this course include: Euclid’s axioms; incidence geometry; Hilbert’s postulates; absolute geometry; hyperbolic geometry; Riemann geometry; metric and non-metric geometric transformations.
1
This course involves discussion of characteristics of scientific thinking and its relationship with scientific research; it requires students to conduct a research on a specific topic in mathematics, and to deliver it and represent this research in a seminar for evaluation.
3
    • 10511492
In this course, students visit private and public schools to observe, prepare, and teach standard classes for primary and secondary level students, on the different mathematical topics. This course is taken in the graduation course, and requires students to observe and teach 45 classes.
3
Topics covered in this course include: statistical data classifications and description; measure of central tendency and variability; probability concepts and rules; discrete and continuous random variables; probability distributions; the binomial and normal distributions; sampling distributions; point and interval estimations for one population mean; tests of hypotheses for one population mean.
3
    • 10211201
Topics covered in this course include: basic concepts of probability; discrete and continuous random variables; probability distributions; the binomial, geometric, negative binomial, uniform, gamma and normal probability distributions; examination of moment generating functions; probability distributions of functions of random variables.
3
    • 10216302
This course provides an introduction to decision theory, risk and loss functions, unbiased estimation, efficient and maximum likelihood estimation, confidence intervals, testing statistical hypotheses, sufficient statistics, the Rao-Blackwell theorem and Rao-Cramir inequality.
3
This course covers the following topics: motion in one and more dimensions, the laws of motion with an application of Newton’s laws, vector quantities, work and mechanical energy, linear momentum and collisions, and rotational dynamics.
3
    • 10221101
This course is a study of the following topics: electric charges; forces and fields; electric potential and electric potential energy; electrical capacitance electric elements like capacitors, resistors, and conductors; electric current and direct-current circuits; magnetic fields; magnetic force; induction; and RC and RL circuits.
1
    • 10221101 or
    • 10221105
In this lab., experiments related to mechanics mostly covered in general physics I (10221101) are performed. This includes -Measurements -Vectors. -Acceleration on an inclined plane. -The speed of sound in air -Viscosity -Newton’s second law -Conservation of energy and momentum -Rotational dynamics -Simple harmonic motion. -Boyle’s law.
3
A compulsory 3-lecture course that is mainly designed to give students a knowledge of the most important chemical principles such as atomic structure and periodic table, mass relationships in chemical reactions, reactions in aqueous solutions, gases, thermo chemistry, quantum theory and the electronic structure of atoms, periodic relationships among the atoms, basic concepts of chemical bonding, molecular geometry and hybridization of atomic orbitals.
1
    • 10231101
A compulsory practical course, designed to introduce the students to various experimental practices used in general chemistry, such as accurate weighing, performing basic chemical methods such as filtration, titration and gravimetric analysis, make simple metathesis and redox reactions, calorimetry experiments and calculations.
3
This course begins with the identification of the general objectives of teaching mathematics and the objectives of teaching mathematics at key stage level and in secondary branches of the academic (scientific and literary), and vocational (industrial and commercial). This course examines the themes the main stage of higher education (5- 10), where students acquire the methods of teaching algebraic concepts and principles of solving equations, relations and associations, and the types of associations. Additionally, they learn how to teach the principles of probability, statistical representations, Euclidean geometry, how to demonstrate engineering subsidiary and trigonometry. This course also includes a description of recent trends in the teaching of mathematics using the technology of computers and calculators. The course concludes on how to organize modules in the school calendar and how to prepare exams and evaluations.
3
In this course, students will have to: • *Research different steps to design lessons and how to integrate technology into lessons. The teacher will present footage of various teaching positions in mathematics to critique with students, and then each student prepares a lesson plan and applies them to fellow students and trainees under the supervision of the instructor and the students, thus clarifying the strengths and weaknesses in the lesson after the workload to be photographed on a tape in the laboratory. • Research and report on teaching in basic and secondary schools, highlighting potential problems and finding solutions. • Prepare and provide real classes in schools, for potential evaluation. The students will receive a teaching supervisor or teacher of mathematics in different schools who will support and evaluate the progress.

Speciality Optional Requirements

Student must complete 21 credit hours
Course Code Course Name Credit Hours Prerequests
3
    • 10211203
Topics covered in this course include: the Frobenious method for solving differential equations; special functions like Gamma and Beta functions; Legendre polynomials; Bessel functions; Hermite polynomials; Chebyshev, Laguerre and hyper geometric functions.
3
    • 10211201
Topics covered in this course include: vector algebra, vector products, vectors and scalar fields; the gradient, divergence and curl theorems; line, surface and volume integrals, related theorems; curvilinear coordinates
3
    • 10211201
Topics covered in this course include: coordinate systems; functions of several variables, parametric representations of curves and surfaces, transformations of regions; derivatives and directional derivatives; implicit functions, Jacobians and related theorems; extreme; multiple integrals and related theorems.
3
    • 10211241 or
    • 10211220
Topics covered in this course include: mathematical modeling; using some software packages in mathematics and statistics; NETLIB, NAG, Derive, Mathematica, MATLAB, BLAS, Maple, MathCAD, SPSS, Minitab.
3
    • 10211241
Topics covered in this course include: introduction to operation research; inventory models, queuing models; game theory; Markov chains; case studies.
3
    • 10211241
Topics covered in this course include: vector spaces; linear independence; direct product and direct sum of vector spaces; linear transformations, algebra of linear transformations; dual spaces; matrices; linear systems; Eigen values and eigenvectors; Hermite matrices; positive definite matrices.
3
This course covers mathematical development as science; early numeral systems such as Babylonians, Egyptians and Greek; the three problems of antiquities: duplicating a cube, quad rating of a circle and trisecting an angle; Alexandria 1st and 2nd schools, Hindu and Arab mathematics; European mathematics before and after the 17th century; analytic geometry and related concepts; development before calculus and transition to the 20th century.
10211371 Methods of Applied Mathematics I 3
    • 10211203
10211372 Methods of Applied Mathematics II 3
    • 10211371
10211374 Applied Analysis 3
    • 10211212
3
    • 10211203
Topics covered in this course include solving ordinary differential equations using series; Laplace transform; existence theorem and applications; solving linear and nonlinear systems of ordinary differential equations; dynamical systems.
10211411 Modern Analysis III 3
    • 10211311
10211412 Complex Analysis II 3
    • 10211312
3
    • 10211361
This course covers linear topological spaces, function spaces; weak topology; extension and separation theorems; open mappings; uniform bounded-ness; Banach and Hilbert spaces.
3
    • 10211321
This course covers numerical methods for ordinary differential equations and systems; numerical methods for finding Eigen values and eigenvectors; numerical methods for solving nonlinear systems; and introduction to numerical methods for solving partial differential equations.
10211442 Modern Algebra III 3
    • 10211342
10211461 General Topology 3
    • 10211361
3
    • 10211241
Topics covered in this course include: curves in planes and in space; curvature and torsion; theory of curves: intrinsic equations, involute curves and evolute curves; surfaces, simple surfaces and topological properties; tangent planes; first and second forms of a surface; asymptotes; intrinsic geometry, theory of surfaces; tensors and families of related curves.
10211464 Algebraic Topology 3
    • 10211242 or
    • 10211361
3
This course focuses on graphs: simple graphs, directed graphs, components, connected components; blocks, cut-vertices, and bridges; Euler graphs; trees, planar and non-planar graphs; graph matrices and coloring.
3
This course covers some selected topics in pure and applied mathematics determined by the department and the course lecturer.
3
This course covers some selected topics in pure and applied mathematics determined by the department and the course lecturer.
3
    • 10216201
Topics covered in this course include: sampling distributions; confidence intervals; testing hypotheses for one and two population parameters; regression and correlation; testing hypotheses for regression line parameters; analysis of variance; chi-square test and non-parametric tests.
3
    • 10211212 or
    • 10216302
This course includes review of some properties of random variables and probability distributions, multinomial distributions, distribution of order statistics, and moments and moment generating functions for some probability distributions. Limiting distributions, types of convergence and characteristic functions are also examined.
3
    • 10216304
This course covers properties of point estimates, the exponential family of distributions, sufficiency and completeness, Bayesian estimation, most powerful test, sequential test, and estimation and testing hypotheses for linear models.
3
    • 10216201
Topics covered in this course include: simple random samples, estimation of means totals and proportions, estimation of the regression parameters, stratified sampling, cluster sampling, systematic sampling and other sampling g methods.
3
    • 10216202 or
    • 10211241
This course covers simple linear regression, multiple regressions, estimation, and goodness if fit tests, residual analysis, using matrices a regression, and factor rotation and applications.
3
    • 10211241 or
    • 10216202
Topics covered in this course include: random column design, Latin squares design, two-factors design, multi-factors comparative experiment, testing model accuracy in analysis of variance, insufficient sector model factor analysis, and multiple comparisons.
10216352 Nonparametric Statistics 3
    • 10216202
10216371 Time Series Analysis 3
    • 10216302
3
This course introduces the scientific bases of managing the classroom, and the roles which the teacher plays in there, focusing on the functional and practical aspects. It also deals with the psychological bases on which a classroom is run, through looking into the different psychological theories which help both the teacher and the student achieve their goals , by way of providing the emotional and social atmosphere that encourages learning and delivering scientific expertise and directing them. This course also aims at making this field a practical science where theories are turned into classroom functions.
11011222 Entrepreneurship and Innovation 3

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