جامعة النجاح الوطنية
An-Najah National University
Major Mathematics -Minor Statistics
Duration: 48 Months (4 Years)
Degree Awarded: Bachelor
Student must complete 124 credit hours

University Requirements Student must complete 19 credit hours

Course Code Course Name Credit Hours Prerequests
0
Remedial English (E10032100) is a three-hour non-credited English course offered to students who score poorly (i.e. below 50%) on the placement test. Since the major concern of this course is to improve the students? proficiency before starting their ordinary university English basic courses and major courses taught in English, special emphasis has been placed on enhancing the students? ability to effectively acquire the four language skills: reading, writing, listening, and speaking. Specifically, the course attempts to ensure an academically acceptable performance on the part of the students at the level of the English basic courses. Moreover, the course aims at expanding students? vocabulary needed for various tasks.
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. It also 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
University English I (E11000103) is a three credit-hour university-required English language course designed for students who need to work on the four skills of the language: reading, writing, listening, and speaking. The development of vocabulary and skills of comprehension are integral parts of the course. In addition, various reading strategies (making predictions, identifying main ideas, reading for details, relating information in the text to life experience) are introduced and developed through a wide range of topics for reading and writing. The course encourages a more analytical and independent approach to study and helps prepare the students for any subsequent exam preparation.
3
The course is mandatory for university students from various disciplines, so it provides 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 the Palestinian issue from its beginning until present in social, economic and political issues.
1
This course aims to connect university students with charitable, community, and public institutions, while also enhancing students? role towards society and familiarizing them with humanitarian needs by providing assistance to targeted groups. It seeks to improve the living conditions of marginalized and impoverished populations. The course prioritizes achieving the greatest possible number of Sustainable Development Goals (SDGs) within the Palestinian context. This is not only through raising awareness and introducing these goals, but also by offering students opportunities to engage practically in implementing various SDGs locally. Students will participate in programs, projects, and activities aimed at reducing poverty and hunger, providing medical services, treatment, and medication to marginalized and poor groups, supporting gender equality and education, including persons with disabilities and special needs, preserving water resources and natural resources, raising awareness on alternative and clean energy, caring for the environment and agriculture, recycling solid materials, rejecting discrimination, promoting green spaces, and encouraging productive and forestry farming. Students enrolled in the course can join different stages designed with alternatives for each phase, allowing them to complete the requirements under flexible conditions. This approach benefits the community while developing students? skills and experiences.
1
The course aims to assist students in acquiring modern concepts in the field of communication and understanding the essential skills for effective communication with oneself and others. This is achieved through the use of effective teaching methods that rely on student engagement and motivation to learn through training and self-directed learning. The course emphasizes skill development through teamwork and interactive methods, helping students improve their verbal and non-verbal communication skills by learning public speaking and the fundamentals of oration. Additionally, it helps students develop active listening skills, and contributes to enhancing their abilities in dialogue and persuasion, overcoming public speaking anxiety, self-promotion, negotiation, job interviews, presentation and delivery, and writing. The course also provides students with knowledge about innovative and creative ideas that can be implemented, as well as how to write a resume. Furthermore, the course aims to refine students' personalities through participation in group presentations.
2
This course aims to enrich students with the basic computer skills alongside with the theoretical and practical backgrounds behind those skills. First of all, software and hardware components of a computer are discussed. This forms the substrate from which a student can realize the practical applications of a computer, especially in Artificial Intelligence (AI). Thereafter, the student awareness for the security vulnerabilities of a computer system is improved through discussing the threats associated with the absolute dependability on the Internet in storing critical data. This is conducted with presenting the basic secure Internet frameworks for students with emphasis on scientific research platforms (ResearchGate, Google Scholar, LinkedIn,?etc). Finally, word processing, statistical analysis and presentation software are discussed with practical applications in the lab.
3
University English II is a three-credit hour university-required English language course which is offered to students majoring in Sciences, Engineering, Agriculture, Veterinary, and Information Technology ... etc. Students in this course will be exposed to a range of science-based writings in English that supply students with samples of the kind of academic English they are likely to encounter in their textbooks. Exercises on grammar, vocabulary and textual organization are geared towards developing students? observational and analytical skills that aid comprehension. The course uses an integrated approach which allows for communicative interaction in the class to actively test and broaden the listening and speaking abilities of the students. Furthermore, the acquisition of vocabulary items will be reinforced through their use in written sentences. Additional training in writing will be given through questions and answers, summaries of principal ideas in a reading passage and the preparation of reports.

Speciality Requirements Student must complete 69 credit hours

Course Code Course Name Credit Hours Prerequests
3
This course covers the concepts of function, inverse function, models, limits, continuity and derivatives, the differentiation rules and their applications, related rates, linear approximation, and hyperbolic functions. The mean value theorem, indeterminate forms, L' Hospital's rule, curve sketching, and optimization problems.
3
    • 10211101
Definite and Indefinite integrals. The Fundamental Theorem of Calculus. The Substitution Rule. Applications of integration (Areas and volumes), Average Value of a Function. Techniques of Integration (Integration by parts, Trigonometric Integrals, Trigonometric Substitution, Integration by Partial Fractions, Improper Integrals). Applications of integration (Arc Length, Area of a Surface). Infinite sequences and series (The Integral Test and Estimates of Sums, The Comparison Tests, Alternating Series, Absolute Convergence and the Ratio and Root Tests, Power Series, Taylor and Maclaurin 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
    • 10211102
    • 10211201 or
    • 10221102
Classifying and solving 1st order ODEs, solving homogeneous and non-homogeneous 2nd and higher order linear ODEs, power series and Laplace transforms Methods to solve linear ODEs, solving 2nd order Cauchy-Euler ODEs, solving systems of linear 1st-order ODEs in 2 or 3 variables using Eigenvalues- Eigenvectors as well as Laplace transforms.
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
Introducing a mathematical software with applications through giving a background and fundamentals of programming; flowcharts, algorithms, types of data, control statements, dimensions, functions, subroutines and graphing.
3
    • 10211102 or
    • 10211211
Matrices and matrix operations. Elementary row operations. Determinants and inverses of matrices. Systems of linear equations and methods of solutions. Vector spaces. Linear independence and basis. Linear transformations. Eigen values and eigenvectors.
3
    • 10211211
Groups, subgroups, symmetric groups, cyclic groups and order of an element, isomorphisms, cosets, and Lagrange's Theorem. Normal subgroups, factor groups, homomorphisms, fundamental theorem of finite Abelian groups.
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
    • 10211220
    • 10211241
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
    • 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.
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
Classifying and describing data, Measures of central tendency, measures of dispersion, measures of position, the definition of probability and its properties, counting rules, discrete and continuous random variables, the binomial distribution, Poisson distribution, the normal distribution and applications, sampling distributions, confidence intervals and hypothesis testing for one population mean.
3
    • 10211201
Random experiments and events, basic probability rules, discrete and continuous random variables, the probability density function and cumulative distribution function for one and two random variables, mathematical expectation, measures of central tendency, measures of dispersion and percentiles, moments and moment-generating functions, conditional probability distributions, correlation coefficient, stochastically independent random variables, some special distributions; binomial, negative-binomial, gamma and normal distributions, transformation method.
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
    • 10221105 or
    • 10221101
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 9 credit hours

Course Code Course Name Credit Hours Prerequests
3
    • 10211203
Frobenius method in solving 2nd-order ODEs around regular singular points, Definitions, properties and applications of Special functions such as: Beat and Gamma, Bessel's, Legendre, Chebyshev, Hermite, Laguerre & Hypergeometric 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
Topics covered in this course include: introduction to operation research; inventory models, queuing models; game theory; Markov chains; case studies.
3
    • 10211242
Examples and basic properties of rings, integral domains and fields, ideal and factor rings, homomorphisms. Polynomials, factorization of polynomials over a field, factor rings of polynomials over a field. Irreducible and unique factorization, principal ideal domains. Extension fields.
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.
3
Explores the world of entrepreneurship and creativity by examining the processes and techniques used to develop ideas and turn them into successful projects. The course includes understanding the foundations of entrepreneurship and the stages of emerging business development, in addition to analyzing the factors that affect the success of entrepreneurial projects and enhancing creativity in various fields.

Sub-specialty Requirements Student must complete 21 credit hours

Course Code Course Name Credit Hours Prerequests
3
    • 10216201
Sampling distributions, confidence intervals, and hypothesis testing for one population mean, one population proportion, the difference between two means, and the difference between two proportions, simple linear regression, and correlation, one-way and two-way analysis of variance, chi-square tests, nonparametric methods, applications using statistical packages such as Minitab, SPSS, or R.
3
    • 10216202
This course covers the use of statistical software for data analysis and interpretation of results. Students acquire skills in applying various statistical methods such as descriptive statistics, hypothesis testing, regression, and analysis of variance using specialized computer programs. The course focuses on executing and analyzing practical projects that involve handling real datasets, training students to use software tools like SPSS, R, or Python to apply statistical models and extract results efficiently and accurately.
3
    • 10216302
Review for the probability density functions for one random variable or more, distribution of functions of random variables, t-distribution, F-distribution, order statistics, estimation, , efficient and maximum likelihood estimation, confidence intervals, testing statistical hypotheses: best test, uniformly most powerful test, likelihood ratio test, sufficient and complete statistics, the Rao-Blackwell theorem and Rao-Cramir inequality.
3
    • 10216201
Topics covered in this course include: Census and sample surveys. Population and sample design simple random samples, stratified sampling, cluster sampling, systematic sampling; estimation of means totals and proportions, Ratio and regression estimators; other methods of sampling.
3
    • 10211241
    • 10216202
This course covers simple linear regression, multiple regressions, estimation, and goodness of fit tests, residual analysis, using matrices in regression, and factor rotation and applications
3
    • 10216202
    • 10211241
Topics covered in this course include: One-way analysis of variance; random column design, Latin squares design, two-factors design, multi-factors comparative experiment, testing model accuracy in the analysis of variance, incomplete block design; factorial designs (2k and 3k), and multiple comparisons
3
    • 10216202
Topics covered include: properties of estimators, properties of hypothesis tests, nonparametric tests for location and scale, the sign test, McNemar's test, methods based on ranks, Wilcoxon signed ranks test, Friedman test, and Kolmogorov goodness of fit test.

Sub-specialty Optional Requirements Student must complete 6 credit hours

Course Code Course Name Credit Hours Prerequests
3
    • 10216302
    • 10211212
This course includes a review of some properties of random variables and probability distributions, multinomial distributions, bivariate-normal distribution; multivariate hyper-geometric distribution; Limiting distributions, types of convergence, and characteristic functions are also examined
3
    • 10216304
This course covers an introduction to decision theory, risk and loss functions, the exponential family of distributions, sufficiency and completeness, Bayesian estimation, estimation, and testing hypotheses for linear models. Chi-square tests.
3
    • 10216202
This course focuses on statistical methods used in the analysis of qualitative (categorical) data, including frequency tables, chi-square tests, tests of independence, and goodness-of-fit analysis. Emphasis is placed on interpreting statistical results for qualitative data and applying them in various fields such as social and medical sciences. Students also learn to use statistical software to analyze qualitative data and prepare statistical reports. Successful completion of "Statistical Methods 2" is a prerequisite to ensure a solid understanding of the advanced statistical techniques required for analyzing such data.
3
    • 10216201
This course covers the fundamental concepts of population statistics, including sources of demographic data, measures of fertility, mortality, migration, and population growth. It also focuses on constructing and interpreting demographic tables (such as life tables), analyzing the age and gender structure of populations, and studying population trends and projections using appropriate statistical models. Students are trained to use population data in planning and decision-making across economic, social, and health-related fields.
3
    • 10216302
Classical Decomposition Models, Time Series Regression Models, Exponential Smoothing; Models. Stationary Time Series. The Autocorrelation And Partial; Autocorrelation Functions. Ordinary Arma Models. Seasonal Arima Models. Steps of Model Building: Identification, Estimation and Diagnostic Checking. Forecasting.
3
This course covers advanced or contemporary topics in the field of statistics, selected based on recent developments, student interests, and faculty expertise. Topics may include advanced statistical models, big data analytics, Bayesian methods, or specialized statistical applications in areas such as health, industry, or economics. The course aims to broaden students' understanding and enhance their ability to address research or applied problems using advanced statistical tools. The course content may vary from one semester to another.

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