Faculty of Applied Sciences | Mathematics

Mathematics

Department Mathematics

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Course Description آخر تحديث 7/16/2024 8:49:48 PM


We offer you a description of the courses of the Mathematics Program and the methods of teaching them in the Mathematics Department at Al-Aqsa University:

Introduction to Operations Research and Linear Programming MATH2332

The nature of operations research, linear programming problems, linear programming models by drawing, the algebraic solution to linear programming problems (the simplified method, the artificial variables technique), network analysis, transportation problems, assignment problems.

MATH4315 special functions

Definition of the gamma function and its properties - Different forms of the gamma function (Euler formula - iterative formula) - Definition of the beta function and its properties - Different forms of the beta function and its relationship to the gamma function - Hyperbolic geometric functions - Laplace functions (their definition, properties and types) - Orthogonal polynomials - Legendary function - Legendre polynomials - Laplace transforms and inverse Laplace transforms - Fourier series.

Number theory MATH3317

Integers and their algebraic properties - Division algorithm and divisibility - Greatest common divisor and least common multiple of two numbers - Prime numbers and their properties and theories based on them - Fermat numbers and their use in proving that the number of prime numbers is infinite - Congruence and its basic properties - Linear congruences and their solutions And a statement of its importance in algebra - Chinese remainder theory - Fermat, Euler and Wilson theories and their applications - Multiplication functions (Euler conjunction - number of denominators - sum of denominators - Mobius coupling) - Pythagorean triangles and orientation according to Fermat's last theorem.

Differential Geometry MATH3315

Curves, curve with variables, regular curve, length of curve, multiplication by vectors, uniform planes, inverse forms of regular values, changes of variables, functional derivatives on the surface, tangent plane, derivatives of forms, first basic form of area, Gaussian function and its properties and derivations.

Statistics(1) MATH3332

Sampling and sampling distributions, sampling distribution of mean, distribution, t-distribution, F-distribution, ordered statistics. Point estimation, properties of good estimators (impartiality, efficiency, consistency, sufficiency), methods for finding estimators (determination method, greatest possibility method). Confidence intervals, confidence intervals: for mean, difference between two means, for ratios, for difference between two ratios, for variance and ratios Between variances. Foundations of hypothesis tests, types of error, test strength, Niemann-Pearson theory, types of tests, tests related to: mean, difference between two means, variance, ratios, ratios between variances, test differences between proportions, tests of independence, quality of fit tests, introduction in linear regression models.

Probability Theory MATH3331

Counting methods. Probabilistic functions, conditional probabilities, Bayes' theorem, event independence. Discrete and continuous random variables, probability (density) distribution functions, distribution functions, associated probability (density) distribution functions, marginal distributions, conditional distributions. Mathematical expectation, moments, mean and variance, Chipchev's theorem, moment generation function, some discrete probability distributions (distribution: regular, Bernoulli, binomial, negative binomial, geometric, hypergeometric, Poisson, suprageometric multivariate, polynomial ), some related probability distributions (uniform, gamma, beta, exponential, chi-squared, normal, binary normal.

Topology (1) MATH3312

Topological spaces, foundations and under foundations, multiplicative topological spaces, connected functions, separation hypotheses, compact spaces, and connected spaces.

Real Analysis( 1) Math2312

Algebraic properties of real numbers, property of R, intervals, cumulative points, sequences and their limits, partial sequences and Bolzano and Weierstrass theorem, Cauchy sequences, divergent sequences, limits and properties of functions, continuous functions, functions continuous at intervals, regular continuity, inverse functions and increasing or decreasing.

Real Analysis (2) MATH4313

Differentiation, mean value theorem, Hopital's rule, Teller's theorem, Riemann integration and its properties, basic theorem of calculus, point convergence, regular convergence of series of functions, convergence and divergence of series, infinite series of functions, metric spaces.

Daly Analysis MATH4303

metric space, continuous functions in metric space, completion in metric space, linear space, partial space, dimensions, bases of spaces, modular space, convergence, space complement, image space, Banach space, linear and definite functions on standard spaces, inner multiplication, Hilbert space, orthogonal set, functions that are on Hilbert space, double spaces, contracting functions, autocorrelation functions.

Numerical Analysis (1) MATH3322

Errors and their sources, numerical methods for nonlinear equations (Breaking - Recursion - Newton - Pseudo Mode..), Methods for solving a system of linear equations (Gausian elimination - LU analysis) and iterative (Jacobi, Gauss-Seidel and relaxation), estimating errors related to these methods, iterative methods for solving A system of linear equations, interpolation and approximation by polynomials (Lagrangian - Aitken - Newton divisible, forward and backward differences) with analysis of the resulting errors, numerical methods of calculus with discussion of accuracy and estimation of errors, numerical methods for solving ordinary differential equations, study and analysis of errors related to these methods.

Compound Analysis (1) MATH3311

Complex numbers as a new class of numbers other than real numbers - Algebraic properties of complex numbers - Comparison between real numbers and complex numbers - Some topological concepts - Complex functions and transformations in the plane Limits and connection and the study of differential calculus within the field of complex numbers - The condition of the existence of a derivative coupling when Point and analytic functions - Complex sequences and complex series-Complex integration, theories of Cauchy, Lyouville, Gorsat, and integrals around poles.

Mathematical applications using the computer MATH4121

Using the spss statistical program with all its components and conducting various applications from the course of statistics 1, using the Mathcad mathematical program to apply and solve various problems in linear algebra, numerical analysis, differentials, differential equations, statistics, engineering graphics of functions in two and three dimensions, using the Latex program to print various mathematical equations Coordination, scientific research and theses.

Calculus(1) MATH1411

Properties of real numbers, limits, continuity, derivatives, derivation rules, derivation applications, definite and indefinite integration, applications of integration, areas, volumes, lengths of curves, surface area.

Calculus(2) MATH1412

Inverse functions - logarithmic functions - exponential functions - inverses of trigonometric functions - hyperbolic functions - methods of integration - defective integration - conic sections - infinite series - polar coordinates.

Calculus(3) MATH2310

Vectors in plane and space, curves and surfaces in space, partial differentiation, multiple integration.

Linear Algebra (1) MATH236

Matrices and their properties and their use in solving systems of linear equations and methods of solving systems of linear equations - determinants and their properties and their use in solving systems of linear equations (Cramer's method), vectors and vector spaces, linear structures, generated groups, independence and linear correlation, expansion of the linear independence group, the rule, Inner product Orthogonal and orthogonal norm and the Gram-Schmidt method to convert the base into a standard orthogonal base - Linear transformations

Modern Algebra (1) MATH3313

Binary operations on groups, groups and groups of numbers and integers with a positive scale, and employing the congruence that the student studied in the "number theory" course and studying their basic theories -- subgroups: meaning - properties - basic theories of subgroups - subgroup tests - order of elements Groups and properties of orders, substitution groups (or homologous groups), circular (periodic) groups and their properties and subgroups thereof - direct multiplication of groups, Lagrangian theorem and its important results and some applications on it from number theory - natural subgroups and factor groups - Similarity and symmetry between groups - the first symmetry theory - finite commutative groups - an introduction to the theory of rings.

Modern Algebra (2) MATH3314

Rings, partial rings, ideals and quotient rings, integer domains, homomorphic transformations of rings, polynomials (polynomials) divisibility in integer domains, extended extended fields.

Computer Language(1) MATH2331

- C++ programming principles, basic concepts, components and tools

- I/O methods and disk files in C++.

- The tools and sentences of control, condition and repetition and its relationship to mathematical logic

- The ready-made mathematical functions, the manufacture of functions, and the multiple use of different functions.

- Numbered variables, matrices and pointers and their use in writing various mathematical programs.

Various mathematical applications from different courses using the C++ language, especially those related to linear algebra, numerical analysis, number theory, calculus, and statistics.

Introduction to Logic and Set Theory MATH1313

Logic and proofs, group theory, relations, functions, countable and uncountable groups, cardinal numbers and their calculations.

Partial Differential Equations MATH3323

Partial differential equations of the first and second orders, Fourier series and transformations, Shetrem's theorem, Lyouville, the principle of separation of variables, Laplace transforms, heat equations, diffusion equations, Laplace equations, peer functions for ordinary and partial differential equations.

Ordinary Differential Equations MATH2313

Differential equations of the first order, linear equations of the highest order, practical applications on differential equations of the second order, differential equations of the variable coefficients, solutions using power series, Laplace transforms, solving a system of linear differential equations.

Methods of Scientific Research in Mathematics Math4111

Conclusion of the concept of scientific research, its objectives and importance. Defining research variables and their types. Identifying the research plan and its elements - Formulating the research problem and its hypotheses according to scientific standards - Using the Internet to obtain electronic references and resources. Collecting previous research related to the research problem and formulating it according to scientific standards. Follow the correct scientific methods in documenting scientific references and sources.).

MATH2317 Selected Topics in Engineering

Transformations, Euclidean level transformations, reciprocals of Euclidean level transformations, linear transformations, geometric constants, groups, congruence in the Euclidean plane, displacement, rotation, reflection, similarity in the Euclidean plane, affine transformations in the Euclidean plane, projection, intercept ratios, projective transformations in the plane Euclid.

Applied Mathematics (1) MATH1221

Vector algebra, equilibrium, rolling and sliding, hypothetical work, motion of the weight of solid bodies, velocity and acceleration, momentum, motion in a straight line, simple harmonic motion, plane motion, projectiles, polar events, motion on the circumference of a circle.

Applied Mathematics (2) MATH2321

Vector differentiation and integration, linear integration, surface integration, volumetric integration, differential operators, integration theories (Gauss's theory, Stokes' theory, Green's integrative theory) conservative fields, generalized coordinates, gravity and effort, coplanar motion of particles, cycloids, central trajectories, particle motion in The plane of motion of a body in a vacuum

cylindrical coordinates, spherical coordinates), moment of inertia and product of inertia.

PHYS1311 General Physics 1 (3ساعة معتمدة)
Measurements and vectors, linear motion, planar motion, relative motion, Newton's laws of Motion circular Motion and Gravitation, work and Energy, Conservation of Energy, collisions, Rotational Motion, Static Equilibrium, Oscillatory Motion Fluid Mechanics.
MATH1212 Introduction to Mathematics (2ساعة معتمدة)
Algebraic concepts, fractional quantities, algebraic equations and their applications, variations, absolute value and properties, function drawing, straight line, square function, relative function, function composition, reverse function. Logarithmic exponential functions, charts, conical cutting, double-edged theories, endings, sequences and sequences
ARAB1206 Arabic 1 (2ساعة معتمدة)
- Introduce to students the most characteristics of Arabic and advantages. - Insert the membership of Arabic through learning about the most important challenges. - Rise student's presentation of Arabic expression and methods in writing. - Improve student's skills in tasting, understanding and analyzing Arabic poetry in the past and modern. - Learn to students about the story's art, essay, elements and characteristics. - Enrich student's abilities to control their linguistic uses through the applied recruitment of syntactical rules. - Enrich students' abilities to control the writing through the applied recruitment of spelling rules and punctuation.
MATH1314 Introduction to Logic and Set Theory (3ساعة معتمدة)
Mathematical Logic and Proofs, Group Theory, Relationships, Conjunctions, Unrecoverable Combatable Groups, Cardinal Numbers and Their Calculations.
RATV1200 Media & Society (2ساعة معتمدة)
The course provides a degree of knowledge of the development of radio, television, journalism, cinema and new media globally, Arab and Palestinian, and knowledge of the political, social and commercial dimensions of social networks, and the course aims to clarify the extent of the impact of the media on society and to identify the role of the media in society and its importance in its formation, and provide students with the basic skills of media education, and the skills of critical thinking of media content, and also aims to clarify the positive and negative effects of the media, conflict and integration between the new media The course seeks to keep abreast of local, national or global developments, and is studied in all its aspects and put forward for discussion with students and follow-up on what is presented on the subject, taking into account several considerations, the most important of which is the novelty of the subject and its importance for students of different disciplines as well as their relationship with society
MATH1412 Calculus 2 (4ساعة معتمدة)
Logarithm and exponential functions, Trigonometric and the Inverse trigonometric functions, Hyperbolic functions, Techniques of integration, Improper integrals, Conic sections, Parametrized curves, Polar coordinates, Infinite series.
ISLM1201 Holy Quran (2ساعة معتمدة)
The course aims to protect the book of God from distortion in fulfillment of His saying: (Indeed, We have sent down the remembrance, and we will preserve it). Memorizing some surahs of the Noble Qur’an.
PHYS1225 Sciences in our life (2ساعة معتمدة)
(mechanics - properties of matter - heat - sound - light - electricity - modern physics - medical physics...) and presents them in a simple presentation with a focus on daily life observations and some natural phenomena. The course also exposes some of the familiar ideas, inventions and devices that It influenced people's lives and interpreted them from a physical perspective without being exposed to the complexities of laws and derivations known in the study of physics
SPOR1201 Culture in Sports Sciences (2ساعة معتمدة)
- The course aims to learn about the concept of sport and fitness Scientific foundations of warm-up. moderate and moderate strength. Basic principles for the acquisition of health and physical activity. Diseases of immobility and fitness. Ingredients for food and sports nutrition. Steroids, supplements and the negative effects of drugs and smoking on human health.
EDUC1211 Principles of Psychology (2ساعة معتمدة)
The course gives a brief picture of the history of psychology, its goals,its importance,its field, and research methods used in it.Moreover,it introduces a brief overview of the most important schools of psychology, motivations and emotions, trends, values and interests and cognitive processes( sense and perception, thinking and memory, and attention).The course deals with the learning and its importance.Finally, it focuses on the personality ,the cognitive side of the personality and the intelligence.
ARTE1202 Palestinian folklore (2ساعة معتمدة)
This course explores the roots of Palestinian folk arts and identifies their main centers in Palestine. It also gives the students an overview of the essential Palestinian folk industries such as pottery, ceramics, glass, textile, straw and bamboo, metal works, and Palestinian folk embroidery.
EDUC1220 Principles of Education (2ساعة معتمدة)
It is a compulsory university requisite for students in the pedagogical disciplines. The course contains eight chapters focusing on basic subjects in education; the definition of education, its importance, characteristics and institutions, as well as its philosophical origins and development throughout history with talking about the teacher and the ethics of the profession, explaining the relationship of education to culture, social upbringing and development, as well as Islamic education and its scholars
HIST1201 The Palestinian Case (2ساعة معتمدة)
This course deals with the Palestinian cause from its early beginnings with the direction of the French campaign to the east and the struggle with Britain to protect its colonial interests, passing through the Ottoman historical era, the period of organizations and the constitution and the corresponding Zionist activity in Europe, and how the First World War affected Palestine and its fall under occupation and then the British Mandate. The role of the mandate in establishing the national home and the Jewish state in Palestine.
MATH1411 Calculus 1 (4ساعة معتمدة)
Properties of real numbers, Limits, Continuity, Derivatives, Differentiation Rules, Applications of Derivatives, Integration : Indefinite and Definite Integrals, Applications of Definite Integrals : Areas, Volumes, Length of Curves, Surface Area.
EDUC1202 Century Skills (21) (2ساعة معتمدة)
The course deals with the following topics: Students acquire the ability to practice contemporary life skills that help them adapt to society and its development. These skills include: all kinds of thinking skills, communication skills, digital mastery skills, information and media skills, and digital culture skills.
PSYC2230 Developmental Psychology (2ساعة معتمدة)
This course deals with the concept of developmental psychology, its fields and importance, the factors affecting it and its principles, the different stages of development (the stage before birth, the cradle stage, early childhood, late childhood, adolescence, adulthood, old age), scientific research methods in developmental psychology, and the laws The general growth demands, the demands of growth at each stage and their repercussions in organizing their education, the most important problems of growth in each stage, the role of the family and the school in facing them, the ability to overcome these problems, and the students' awareness of themselves according to the characteristics of each stag.
EDUC2266 E-learning and its applications (2ساعة معتمدة)
The course deals with the following topics: concepts and theories related to e-learning, types and environments of e-learning, stages of design in e-learning, organizational and executive rules for e-learning, and the role of administration, students and teachers in e-learning and their skills. The course also provides students with the necessary skills to deal with e-learning tools and programs. The course seeks to provide students with positive attitudes towards e-learning and its applications in teaching, as well as looking comprehensively in terms of e-learning in institutions in general, theoretical and practical application of a group of famous applications in e-learning such as Moodle and Classroom and some webinar programs such as Zoom and Meet.
JOUR1200 Digital media and content creation (2ساعة معتمدة)
In this course, the student is introduced to the basic concepts of media and communication, their types, functions, characteristics and different features and the difference between each of them, in addition to identifying the concepts of digital media, its means, functions, and communication characteristics, specifically those related to the effects of the Internet and the developments of communication technology, as well as It is devoted to social networks and their types, roles, and various functions, and society members manufacture media content as part of their active participation in the Internet environment, as well as critiquing this content, and identifying digital privacy and digital security challenges, and finally the course presents the ethics of digital media.
BIOL1201 LIFE AND NATURE (2ساعة معتمدة)
This course touches upon the study of energy flow in the biological system, the composition of the living matter, and the role of plants in the biological system. Furthermore, it helps in recognizing life through studying aspects of life and behaviors of some living organisms, besides studying the human body structure and its ability to maintain the body homeostasis.
TECH1222 General Safety (2ساعة معتمدة)
This course aims to provide students with knowledge and special trends of professional security and safety provisions in general, and in school in particular, which makes students take preventive action in work or in the place of their presence to avoid the risk of different exposure, how to get first aid for themselves and others in case of injury .This course consists of the following topics: the definition and development of professional safety , recognizing some definitions of professional safety, accidents and the main rules to avoid it , and reducing it ,the right rules of safety treatment with handicraft tools, safety at educational facilities, first aid and ways to give aid for some injuries, reasons of fires and how putting it out , emergencies in wars of various kinds, security and home safety.
SOCI1204 Palestinian society problems (2ساعة معتمدة)
This course is one of the university's elective requirements, which aims primarily to study social problems in Palestinian society as one of the phenomena that most affect the stability and development of society. It deals with the patterns of social problems in the Palestinian society, their dimensions, the influencing factors, and the mechanisms for confronting them, discussing the family and educational problems, the problems of women and children, the problems of juvenile delinquency, the problems of youth, the problems of crime and delinquency, the economic problems, and the risks of globalization on the Palestinian family and society
GEOG1202 Geography of Palestine (2ساعة معتمدة)
The student is expected to be familiar with the following topics: Study the location, position, geological formations, topography, and climate. Study of water resources, natural plants, and soil types for Palestine. In addition to studying the economic activity of the population. Study of population growth in Palestine in addition to the geographical reality of the city of Jerusalem
ENGL1207 English 1 (2ساعة معتمدة)
This is a preliminary course that mainly focuses on general English language social skills. It introduces the students to the different language skills in an integral manner. The course is based on a strong lexical component where the students are expected to read for comprehension. This course enables them to acquire new vocabulary, develop grammar knowledge and develop the language skills: reading, speaking, listening and writing. An integrated approach is applied throughout this course for students to acquire both fluency and accuracy by using basic reading techniques such as scanning, skimming, taking notes while listening; writing formal and informal letters, filling in forms, and describing people and places.
MATH2331 Computer Language 1 (3ساعة معتمدة)
Introduction to computer programming, Control structures statements, Functions, Arrays, Applications.
MATH2317 Selected Topies in Geometry (3ساعة معتمدة)
Transformations, Euclidean-level transformations, Inverteds, Euclidean-level transformations, Linear transformations, Geometric constants, Groups, Conformity in Euclidean level, Displacement, Rotation, Reflection, Similarity in Euclidean level, Avene transformations in Euclidean level, Projection, Intersection proportions, Projection transformations in plane Euclidean
MATH3331 Theory of Probability (3ساعة معتمدة)
Probability spaces, Combinatorial problems, Random variables and their distributions, Expected value, Conditional distributions and stochastic independence, Special distributions, Moment generating function, Sampling distributions, Central limit theorems.
MATH2316 Linear Algebra 1 (3ساعة معتمدة)
Systems of linear equations, Algebra of matrices, Vector spaces, Linear independence, Linear transformations, Kernel of linear transformations, Matrix representation of linear transformation, Rank of matrices, Determinants, Inverse of matrices, Eigenvalues and eigenvectors.
MATH2313 Ordinary Differential Equation (3ساعة معتمدة)
First order differential equations, Linear differential equations of order two or higher, Series solutions of differential equations, The Laplace transform, System of linear differential equations.
MATH2324 Applied Mathematics 1 (3ساعة معتمدة)
Vector algebra, equilibrium, rolling and sliding, default work, solid body gravity movement, speed and wheel, thrust force, straight line movement, simple harmonic movement, flat motion, projectiles, polar events, movement around the circumference of a circle
MATH2310 Calculus 3 (3ساعة معتمدة)
Vectors in the plane and space, Vector-valued functions, Curves and planes in space, Partial derivatives, Multiple integrals.
EDUC2213 Teaching Techningues (2ساعة معتمدة)
This course includes: communication, its concept, and its obstacles, the role of learning techniques in the communication process.In addition, the course deals with the concept of educational techniques, their importance, rules for their use, their classifications, the basis for their selection, the means of educational technologies not shown in light and applied activities to employ educational techniques in various curricula.
EDUC2216M Special Teaching Strategies 1 (Mathematics) (2ساعة معتمدة)
In this course, students study the nature of mathematics, its characteristics and its development through history, and the aims of mathematics learning. Moreover, it provides students with mathematics teaching and learning models, mathematical concepts teaching, mathematical principles and generalizations teaching, mathematical problems teaching, mathematical proof teaching, planning for mathematics teaching, and evaluation of mathematics learning.
EDUC3216 Fundamentals of Educational Research (2ساعة معتمدة)
The course deals with the following terms: the concept of research, its nature, the concept of educational research, its importance, types, levels, approaches to educational research, tools of information collection in educational research and thinking skills that the educational researcher must master.it also defines the criteria for choosing the subject of research, the scientific nature of educational research, the stages of achieving educational research and the methods of writing educational research (booklet) , Cards and some important issues related to educational research such as: duration, number of pages, supervisor, individual work, team work, exploration and documentation, and an overview of the educational research plan
EDUC3216M Special Teaching Strategies 2 (Mathematics) (2ساعة معتمدة)
The course interduces the theories of teaching and learning mathematics, Piaget's theory and its applications, Janet's theory and its applications, Brunner's Theory and Its applications, Ozobel theory and its applications, modern trends in mathematics teaching and learning, structural theory (Learning Cycle) and its applications, the integrated approach, and the difficulties of learning mathematics
EDUC3240 Teaching skills (2ساعة معتمدة)
Teaching skills -The course deals with the following topics: Acquisition of a professional activity that is accomplished through major processes (planning, execution, evaluation) - Developing the course content continuously in the light of modern trends and contemporary technical methods revealed by the research results - Course vocabulary: educational terms (pedagogy - dialectics - system Tibak - teaching - teaching - learning strategy) behavioral goals - planning - teaching skills - teaching methods - means - activities - class questions - types of evaluation.
EDUC3213 Measurement & Evaluation (2ساعة معتمدة)
This course aims to provide students with skills and abilities that enable them to formulate the objectives of a unit of study or a specific subject,to make a lesson plan and to use vocabularies that measure the goels, as well as to analyze and interpret these results.The course provides students with information on achievement tests .
EDUC3229 Practicum 1 (2ساعة معتمدة)
The course focuses on the concept of practical education and its importance, and to identify the role of all those concerned with practical education: student, teacher, educational supervisor, teacher cooperating teacher school, and to identify the problems that may be faced by teachers teachers during the field training, student teachers to see the teaching situations and illustrated multiple models To illustrate and evaluate lessons, train students on basic teaching skills: teaching planning, ask questions Identify appropriate activities and actions to achieve goals, reinforcement, use techniques, classroom interaction, classroom management, assessment, and teacher training The actual peer through their representation of teaching positions, as well as their training on self-evaluation, peer evaluation.-
EDUC3226 Educational Psychology (2ساعة معتمدة)
The course covers the latest scientific trends related to the learning process, the components of the educational situation and the effects in it.In addition, it introduces the conditions of learning, cognitive processes,the transmission of learning impact, and the theories of behavioral and cognitive learning and their educational applications.
MATH2312 Real Analysis 1 (3ساعة معتمدة)
Algebraic properties of the real numbers, Completeness of R, Intervals, Cluster points, Sequences and their limits, Limit theorems, Monotone sequences, Subsequences and Bolzano Weierstrass theorem, The Cauchy criterion, Properly divergent sequences, Limits of functions, Some extensions of the limit concept, Continuous functions, Continuous functions on intervals, Uniform continuity, Monotone and inverse functions.
MATH3317 Number Theory (3ساعة معتمدة)
Divisibility of numbers, Prime numbers, Greatest common divisor and least common multiple, Fundamental theorem of arithmetic, Congruences, Number theoretic functions, The number and sum of divisors, Fermat's and Euler theorems, Wilson's theorem, Chinese remainder theorem, Euler's function, Quadratic reciprocity.
MATH3322 Numerical Analysis 1 (3ساعة معتمدة)
Arithmetic errors and their sources, Methods of solving nonlinear equations, Methods of solving systems of linear equations, Interpolation and curve fitting, Numerical differentiation and integration, Numerical solution of ordinary differential equations.
MATH3312 Topology 1 (3ساعة معتمدة)
Topological spaces, Bases and subbases, Product of topological spaces, Continuous functions, Separation axioms, Compact spaces, Connected spaces.
MATH4303 Computer Language 2 (3ساعة معتمدة)
Pointer and strings, Classes and data abstraction, Operating overloading, inheritance, Data structures.
MATH2332 Introduc.to Operational Research & Linear Prog. (3ساعة معتمدة)
Nature of operations research, Linear programming problems, Graphical solutions, Algebraic methods for solutions (simplex method, artificial variable techniques), Network analysis, Transportation problems, Assignment problems.
MATH2323 Applied Mathematics 2 (3ساعة معتمدة)
Vector differentiation and integration, linear integration, surface integration, volumetric integration, differential effects, integration theories (Gauss theory, Stokes theory, Green integrative theory), conservative fields, generalized coordinates, attraction and voltage, flat motion of particles, cycloid, central paths, particle movement at the level of body movement In a vacuum (cylindrical coordinates, spherical coordinates) the moment of inertia and the product of inertia.
MATH3314 Modern Algebra 2 (3ساعة معتمدة)
Rings, Subrings, Integral domains, Ideals and factor rings, Ring homomorphism, Polynomial rings, Factorization of polynomials, Divisibility in integral domains, Field extentions.
ARAB1217 Palestinian Literature (2ساعة معتمدة)
1- Learn about the historical dimension, relationship to the contents of Palestinian literature, and political, social and cultural reality in Palestine. 2- Study the impact of Palestinian reality on literature, and keep up with the situation in various stages. 3- Familiarity with the most prominent figures of Palestinian literature in poetry and prose, some of their works, and the impact of these works on the reality. 4- Identify the difficulties and obstacles faced the researchers in Palestinian literature, especially in the early stages of his history. 5- Identify the most prominent researchers and pioneers in Palestinian literature, their history, and their role in bringing it into existence. 6- It includes many artistic and objective issues in literary types, and multiple trends in analysis and criticism with clarifying its development stages and the most prominent figures and characteristics.
PSYC1200 Psychology and Life (2ساعة معتمدة)
The course deals with the concept of psychology, life, and mental health and the importance of each of them for the individual and society. It also introduces the concept of positive thinking as a way of life, knowing the positive personality traits and distortions of thinking and ways to treat them. The course also deals with identifying some life and social skills such as social taste, such as communication, communication and speech, and constructive dialogue. Problem-solving, decision-making, self-management, knowledge of the causes and types of pressures of contemporary life, and methods for confronting them. The course also addresses the most important problems of youth such as unemployment and free time, migration, psychological alienation, and methods of confronting them. The course also deals with family harmony and knowledge of the foundations for choosing marriage in the Qur'an and Sunnah. The course also deals with the challenges of the digital age, and knowledge and treatment of some problems in the digital age such as electronic blackmail, electronic games, electronic addiction and electronic bullying.
BUSA1200 Leadership & Entrepreneurship Skills (2ساعة معتمدة)
Leadership and Entrepreneurship Skills is a course aimed at developing students' knowledge and skills in the field of leadership and entrepreneurship. This course focuses on enhancing their abilities in team leadership, effective decision-making, and promoting innovation and creativity in a business context. Throughout the course, students will be introduced to various theories and models of leadership, gaining insights into different leadership styles and approaches. They will learn about the qualities and characteristics of successful leaders and how to apply them in real work scenarios. Additionally, the course will cover topics such as communication skills, conflict resolution, and motivation techniques, all of which are essential for effective leadership. The entrepreneurship component of the course includes introducing students to the fundamental principles of entrepreneurship and the process of business creation and management. They will learn about opportunity discovery, market analysis, business planning, and resource management. The course also emphasizes the development of an entrepreneurial mindset, encouraging students to think critically, take calculated risks, and identify opportunities for innovation and growth. Throughout the course, students will engage in practical exercises, case studies, and group discussions to apply their learning to real work scenarios. They will also have the opportunity to interact with successful entrepreneurs and industry professionals through guest lectures and networking events.
ITNM1200 Cyberspace and information security (2ساعة معتمدة)
It is a university course that focuses on studying the concepts and challenges of digital security and information security in the electronic environment. The course aims to raise awareness among students about the importance of protecting digital information and data from electronic threats, such as hacking, cyber-attacks, electronic fraud, viruses, and others. It covers the study of encryption methods and tools used to secure information, networks, and digital systems. The course also revolves around digital protection laws, regulations, and ethics related to safe technology and internet use. Its objective is to equip students with the necessary skills to protect personal, sensitive, and institutional information and to handle security in the advanced digital world. This course is fundamental in the field of information security and benefits students interested in technology security and safeguarding digital privacy.
EDUC3239 Education Profession Ethics (2ساعة معتمدة)
This course deals with the teaching environment, whether related to the field of pure knowledge (learning to know), the field of existence (learning to be), the field of work (learning to do), or the field of being with the other (learning to be with the other)
EDUC3227 Teaching Thinking (2ساعة معتمدة)
The course covered the following vocabulary: the concept of thinking, its importance, objectives, postulates, levels of thinking, types of thinking, factors influencing its acquisition, obstacles to thinking processes, some theories that dealt with the emergence of thinking, some theories that adopted the mechanisms of building the mind, methods of teaching thinking, global classifications For the structure of the mind, methods and approaches to motivate students to experiment and innovate, some study materials through which creativity and innovation can be developed, proposals and procedures that make the classroom and school environment a structure that is oriented and influential in thinking processes.
EDUC3228 Education and Issues of the Palestinian Community (2ساعة معتمدة)
This course is a compulsory requirement for the students of the primary education major. The course focuses on the subjects of education and issues of Palestinian society contains eight chapters dealing with eight issues of concern to the Palestinian society, namely globalization, development, poverty, unemployment, national identity, human rights, the migration of Palestinian competencies, democracy and Palestinian women
ISLM1202 Biography of the Prophet mohammed (2ساعة معتمدة)
At the end of the course the student is able to: Identify the Prophet's biography from birth until his death. Identify the most important invasions that occurred in the age of the Prophet (PBUH). The student should recognize the difficulties and risks faced by the Prophet in inviting him to God Almighty.
EDUC4218 Basics of educational curricula (2ساعة معتمدة)
The course deals with the following topics: information and skills on the concept of the curriculum in the old and recent stages of its development: the old, which focuses on the content and curriculum modern broad concept, and the curriculum as a system with inputs, processes and outputs, as well as the foundations of the construction of the philosophical, psychological, educational, scientific and social as well as elements of the curriculum of the objectives and content and methods of organization, , And finally methods of enriching the curriculum and its development and modernization as a result of the continuous change of dimensions of the curriculum time and place, and the experience of Palestine in the field of curriculum development through the general structure of the Palestinian curriculum.
ISLM1215 Modern Jurisprudence issues (2ساعة معتمدة)
Addresses contemporary problems and issues of jurisprudence that fall within the framework of what is known as the jurisprudence of the home, and the attitude of contemporary jurisprudence thereof, so that the student can develop a contemporary view of the daily life problems and the opinion of Islam therein, such as: insurance, cloning, brain death, organ transfer, milk banks, IVF and other new issues. It aims to: familiarize itself with the provisions of developments in various sections of jurisprudence
MATH3332 Statistics 1 (3ساعة معتمدة)
Statistical inference, Random samples and sample statistics, probability distribution of function of random variables including X2, T, F distribution, Central limit theorem, Introduction to statistics inference, Fundamentals of estimation and hypotheses testing, Analysis of variance (ANOVA), Linear correlation regression, Non parametric statistics.
MATH4121 Mathematical Applications of Computer (1ساعة معتمدة)
Statistical applications using SPSS - mathematical applications using Mathcad - applications for writing texts using Latex.
MATH3311 Complex Analysis 1 (3ساعة معتمدة)
Complex numbers, Analytic functions, Basic functions, Differentiation of complex functions, Cauchy-Reimann theorem, Complex integration, Complex series, Taylor and Laurent series.
MATH3313 Modern Algebra 1 (3ساعة معتمدة)
Binary operation, Groups, Cyclic group, Subgroups, Direct product, Isomorphisims, Lagrange's theorem, Normal subgroups, Homomorphisms, Fundamental theorem of abelian groups.
MATH3318 Coding Theory (3ساعة معتمدة)
Introduction to coding theory, Linear coding, Perfect and related codes, Cyclic linear codes, BCH codes.
MATH3323 Partial Differential Equations (3ساعة معتمدة)
First order equations, Classification of second order linear equations, Canonical forms, Fourier series and Fourier transformations, Laplace Transformations, Heat, Wave, Laplace equations, Green functions for ordinary and partial differential equations..
MATH4314 Functional Analysis (3ساعة معتمدة)
Metric spaces, Continuous functions in metric spaces, Completeness of metric spaces, Linear spaces, Subspaces, Dimentions, Bases, Normed spaces, Convergence, Completeness, Banach spaces, Linear operators on normed spaces, Inner product spaces, Hilbert spaces, Linear functionals on Hilbert spaces, Orthonormal bases, Dual spaces, Self adjoint, unitary, and normal operators.
MATH3315 Differential Geometry (3ساعة معتمدة)
Curves, Parametrized curves, Regular curves, Arc length, Vector product , Regular surfaces, Inverse image of regular values, Change of parameters, Differential functions on surfaces Tangent planes, Differential of a map, First fundamental form of area, Gauss map and its properties and derivatives.
MATH3316 Linear Algebra 2 (3ساعة معتمدة)
Eigenvalues and eigenvectors, Diagonalization, Inner product spaces, Norms, Gram-Schmidt orthogonalization process, Orthogonal complements, Unitary and orthogonal matrices, Canonical and Jordan forms, Bilinear and quadratic forms.
MATH4315 Special Functions (3ساعة معتمدة)
The definition of the gamma function and its properties - the different images of the gamma function (Euler formula - iterative formula) - the definition of the beta function and its properties - the different images of the beta function and its relationship to the gamma function - the geometric functions above the hyperbolic function - Bessel functions (its definition, properties and types) - polynomial functions - polynomials- Laguerre polynomials - Laplace transforms and Laplace inverse transformations - Fourier series
MATH4202 Selected Topics (3ساعة معتمدة)
Topics may vary and will be described by the department
NURS1205 Health and Diet (2ساعة معتمدة)
This course is designed to introduce the study of nutrition in health and health care. The students will study the nutrients and their specific functions in the body. They will learn to apply their knowledge and giving nutritional guidance and teaching their clients and their families concerning their diets. They will learn the nutritional management for malnourished patient and appropriate foods for healthy or unhealthy clients gastrointestinal, cardiovascular diseases, and renal problems, also they will learn the alternatives of oral feedings.
MATH4313 Real Analysis 2 (3ساعة معتمدة)
Differentiation, Mean value theorem, L'Hospital's rule, Taylor's theorem, Riemann integrals, Properties of Riemann integrals, The fundamental theorem of calculus, The integral as a limit, Pointwise and uniform convergence of sequences of functions, Convergence and divergence of infinite series, Infinite series of functions, Metric space.
ITCS1201 Computer and Internet (2ساعة معتمدة)
A basic course for all university students aimed at providing the student with computer skills, introducing the student to the computer and its uses and its software and physical components, identifying the different areas of computer use, as well as introducing the student to the Internet and benefiting from its various services such as email, research, file preservation and communication. The course also aims to provide the student with the skill of installing and uninstalling a program or application, identifying safe sites for programs, clarifying what computer networks are, dealing with them, and using mobile communications, and providing them with the skill to assess the risks and benefits of telemedicine, using Bluetooth technology, and using the NFC tag, as well as using the phone. Smartphone as a mobile phone hotspot, and add a wireless printer to a network. The course aims to introduce the student to the concept of blue eavesdropping, detect an intruder to access your wireless signal, protect against viruses and malware, protect the smartphone from threats, as well as provide the student with the skills necessary to deal with buying and selling sites, and using payment applications securely, and files Cookies, spyware and learn about privacy laws, as well as learn about cybercrime and cybercriminals.
LAW1232 Law culture & human rights (2ساعة معتمدة)
This course aims at introducing students to legal culture and its importance, human rights and sources, comparing human rights in Islam and international declarations, their definition of rights and duties in the Palestinian Basic Law, the electoral law in Palestine, the exercise of political rights in Palestinian society, Between the Palestinian Personal Status Law and the CEDAW Agreement, and the recognition of international humanitarian law.
EDUC1203 Education and sustainable development (2ساعة معتمدة)
Distance identification aims at sustainable development (concept, genesis, goals, dimensions) - Investment in education for sustainable human development - Education from the perspective of the objectives of the sustainable development plan - Security, intellectual security and security education - Security education in the face of the dangers of Israeli occupation - Security education in the face of the dangers of psychological warfare (Rumour, propaganda and its means) - Security education in the face of the risks of competing over non-renewable resources - Security education in the face of the risks of marginalization and social exclusion - Security education in the face of the risks of social networks and smartphones - Security education in the face of the risks of cyberexecution - Security sustainability (Social sustainability - environmental sustainability - economic sustainability - people's participation in sustainable security
LIBR1234 Libraries and information sources (2ساعة معتمدة)
In this course, the student studies multiple learning skills that help him on how to use traditional and electronic libraries in addition to the concept of information sources and their divisions, types and forms of information containers, with different practical examples, as well as how to access information available in the sources through the multiple keys used for each source, in addition to The skill of differentiating between the three terms used in the field (electronic libraries, digital library and virtual library) and the differences between them and traditional libraries. The student also studies the concept, origin, components, requirements and services of the traditional library and the electronic library, and its success factors.
CHEM1202 Environmental Culture (2ساعة معتمدة)
Introduction to ecology - Concept of ecology - Evolution of the human-environmental relationship - Causes of aggravation of environmental problems - Means of conservation and conservation of the environment - Basic concepts in the environment - Earth's casings - ecosystem fundamentals - solar system components - solar system types - ecosystem balance - energy flow in the ecosystem - food chain and food grid -Ecological pyramids - biogeochemical cycles - gas cycles - sedimentary cycles - air and pollutants - atmospheric layers - air pollution - primary and secondary air pollutants - air protection from pollution - general effects of air pollution - Hydrothermal Effect - Acid Rain - Ozone Hole - Water and Contaminants - Specifications to Be Available in Drinking Water Water Pollution - Types of water contaminants and their damage to human health - Protection of the water environment from pollution - Methods of maintaining drinking water - Soil pollution and means of protection - soil pollution - soil protection from pollution - desertification - food and contaminants - quality food specifications - sources of food pollution - types of food contaminants - use of medicinal drugs in animal production - food additives - environmental contamination with pesticides and toxins - Pesticides-toxins - solid waste - solid waste types - solid waste treatment and disposal - hazardous waste - electronic waste - other pollutants - inland pollution - asbestos (temporary bomb) - electromagnetic pollution - optical pollution - environment in Palestine
PSYC4212 Mental Health (2ساعة معتمدة)
This course deals with introducing students to mental health, its importance for the individual and society, the theories that explain it, knowledge of the criteria and determinants of mental health, identifying the characteristics of normal personality, basic theories in the interpretation of mental health, the school of psychoanalysis, the behavioral school, knowledge of the classification of diseases and mental disorders, and topics Especially in mental health, such as motives, pressures and methods of coping with them, psychological trauma, anxiety, depression, frustration, compatibility, conflict, defense mechanisms, and identifying the relationship of mental health and education.
MATH4305 History of Mathematics (3ساعة معتمدة)
Mathematics in Babylonians and Egyptians. Mathematics in the Greeks. History of arithmetic in India and China. Mathematics in the Islamic era. Mathematics evolved in Europe from the 17th century to the present.
MATH4333 Statistics 2 (3ساعة معتمدة)
Sampling and surveys design, Simple random sampling, Sampling for proportions and percentages, Estimation of sample size, Stratified random sample, Ratio and regression estimators, System and double sampling.
ISLM1204 Islamic creed (2ساعة معتمدة)
The definition of the Islamic faith, its characteristics, details the six pillars of faith: faith in God Almighty, faith in angels, faith in heavenly books, faith in prophets and messengers, faith in the other day and its details, faith in judiciary and fate. At the end of the course, the student is able to: * know the knowledge of the faith and its importance. * Distinction between types of uniformity. * Access to the concepts of faith in justice and fate. * Post-death identification from another day and other matters.
EDUC4205 Practicum 2 (2ساعة معتمدة)
It is an educational process that aims to provide opportunities for students to apply educational concepts, principles and theories in a performance and behavioral manner in the real field of training (in schools), to acquire the teaching skills required by the teaching / learning process, so that the student / trainee is able to practice it efficiently and effectively.