This course covers the basic skills and concepts related to information technology and its control in computers, and the basic software, TART, for basic concepts and skills related to using devices, creating and managing data, networks, and security.

It provides the student with many topics related to Islamic culture that lead to consolidating the principles of Islam, understanding its systems, introducing him to the proper and correct approach, how a Muslim deals with his era with its givens and challenges, strengthening the connection with the past and other cultures, and learning about how Islam dealt with various aspects related to man or society.

This course explains the Prophet’s biography and its role in building the individual’s culture, the need to study the Prophet’s biography and how to benefit from it, knowledge of Islamic civilization and culture, the meaning of science and knowledge and their role in Islam, how to form the Muslim family and its role in Islamic society, and Islam’s position on contemporary intellectual issues. It informs the student of how Islam has dealt with various aspects. It relates to a person or society in terms of belief, worship, transactions, and personal status.

The course introduces the student to the skills of reading and expression, the art of dialogue, summarization, and text analysis. He masters writing skills, dictation rules, and masters the use of punctuation marks, as well as the use of rhetorical methods in accordance with basic grammar principles.

Introducing the course and the topics it includes to introduce the nature of the course: Arabic writing, its concept, knowledge of the Arabic letter, the hamzat al-wasl, qat`, alif, and others related to Arabic writing. It also introduces one to functional writing of its types, the art of the essay, and its benefits.

This course covers the basic skills and concepts involved in using spreadsheets and using excellent mathematical formulas and functions, as well as the basic concepts and skills needed with presentation software to create great presentations.

This course deals with the basic grammatical rules of the English language and how to use them, the basic tenses, how to put sentences into interrogative, negative, and affirmative expressions, the definition of using the language in daily conversations, and how to write sentences in the English language with correct spelling and grammar.

Developing the student’s ability to communicate effectively and write in the English language, and providing the student with linguistic skills (reading and writing) that enable them to use the language correctly.

The course contributes to strengthening the Libyan identity and forming the student’s national cultural awareness, by clarifying the status and location of Libya, and its effective role in the past and in the present. It also seeks to instill the national spirit and pride in belonging to the homeland.

This course studies Arabic writing and its concept, knowledge of the Arabic letter, the hamzats of qat’ and wasl, alif and others, which are related to Arabic writing. The student also learns about functional writing of its types and the art of the essay and its benefits.

In this course, the student studies Arabic writing, its concept, knowledge of the Arabic letter, the hamzat al-wasl, qat`, alif, and others related to Arabic writing. He also learns about functional writing of its types, the art of the essay, and its benefits.

This course aims to provide the student teacher with knowledge, skills, and values ​​by introducing the principles of general psychology, the concept of psychology, the historical stages it passed through, its importance and goals, its most important theoretical and applied branches, its basic curricula, its most important traditional and contemporary schools, the basic determinants of human behavior, and motivations and their various classifications. The relationship of motivation and motivation to the individual’s achievement and achievement, and the most important basic cognitive variables that shape human behavior, including feeling, attention, perception, memory, learning, and intelligence.

Providing the student teacher with knowledge and skills and giving him the values ​​and attitudes that contribute to his preparation and qualification for the teaching profession through learning about the concepts of education, its patterns, characteristics and functions, and reviewing the educational opinions and ideas advocated by scholars throughout the ages, and highlighting the role of Islamic education and its educational philosophy by presenting examples of Signs of Islamic thought, learning about educational philosophies and their implications on the educational system, identifying the cultural and social foundations, their concept, elements and effects on the lives of societies, leading to revealing some of the issues related to education and its educational applications.

Providing the student teacher with the knowledge, skills, values ​​and positive attitudes required by the teaching profession, helping them know the nature of the teaching-learning process and understanding the relationship between different teaching situations, and providing them with the most important modern teaching strategies that make the learner the focus of the educational process.

Providing the student teacher with knowledge, skills, and attitudes about the curriculum in terms of its origin, development, significance, and meaning (conceptual definitions), components of the educational curriculum, the foundations of its construction, and the characteristics of the modern curriculum, its organizations, and models, leading to the development of the curriculum.

This course deals with the study of the subject of educational psychology and its importance in the educational method, with a focus on educational goals, their levels and formulation. It also introduces the definition of psychological development, its role in the educational method, the development of organs according to Piaget, and comprehensive emotional development according to Erikson.

Providing the student teacher with knowledge, skills, values ​​and attitudes by examining the nature of knowledge, its types and objectives, distinguishing between scientific research and scientific activity and its basics, and how to approach the steps of scientific research procedurally, starting from defining the problem, passing through design, methodology, tool and measurement, all the way to writing and directing it according to scientific foundations.

Measurement and evaluation are among the basic skills that the teacher must master and are part of his professional behavior. Therefore, it is considered a basic educational requirement within the requirements for preparing the teacher who seeks to eliminate confusion and not confuse basic concepts such as assessment and evaluation, and also to inform the student that evaluation is a means and not an end, used for learning. Hence, you notice the difference between the final calendar and the continuous calendar.

The vocabulary of this course is distributed across five basic axes: communication skills, educational methods, educational techniques, systems introduction, learning and e-learning, which are basic and necessary skills for any teacher in the twenty-first century.

Providing the student teacher with the most important knowledge, skills, values ​​and trends in the field of modern school administration, its technical and human requirements, its responsibilities towards its employees, and the means by which it can carry out its tasks, through studying school and classroom administration, reviewing the most important administrative patterns, and learning about the principal’s administrative and technical tasks and management skills and processes. School and classroom education and their role in achieving a safe and attractive school environment for learning, and providing the student with the concept of technical supervision, its role in the educational process and its most important methods.

Providing the student teacher with knowledge, skills, values, and attitudes through learning about the concept of mental health, its manifestations, and psychological compatibility from the point of view of different psychological schools. It also examines normal behavior and abnormal behavior, the manifestations of normal personality, and the factors influencing it, and effectively demonstrates the characteristics of those who enjoy psychological health and others. It reviews the relationship between social institutions, such as the family and civil associations, and achieving mental health in terms of the role played by each of them and the type of services provided by each institution. It addresses the concepts of frustration, psychological conflict, and psychological pressure and their role in poor mental health. It also presents examples of psychological problems and disorders.

Practical education is an educational training program, through which what student teachers have learned theoretically is applied directly in a performance manner in educational institutions, to acquire the necessary competencies to qualify them to practice the teaching profession, and it is a basic requirement for preparing male and female teachers for the stages of education (kindergarten, basic, secondary).

The course provides a general study of groups, intervals, and inequalities, relationships and functions, types of real algebraic functions, even and odd functions, domain and range, graphing functions, inverse functions, non-algebraic functions, inverse trigonometric and logarithmic functions, exponential functions, hyperbolic functions, and inverse hyperbolic functions.

This course covers foundations, roots, and equations containing roots, terms and partial fractions, polynomials, the fundamental theorem of division, reductive division, the fundamental theorem of algebra, real zeros, standard zeros, partial fractions, commutations and combinatorics, mathematical deduction, and the binomial theorem.

Vectors, addition, subtraction, numerical and vector multiplication, coordinates in the plane, polar Cartesian coordinates, distance between two points, transformation by displacement and transformation by rotation, lines in the plane, slope of the line, equation of the straight line, applications, exercises.

This course covers some general statistical concepts, tabular and graphical presentation of statistical data, measures of central tendency, measures of dispersion, correlation and regression, time series, index numbers, and population and vital statistics.

This course covers limits, continuity, continuity, some theorems of continuity, differentiation, applications (increasing and decreasing functions - Rolle's theorem - mean value theorem - maximum and minimum limits - concavity and convexity - points of inflection - drawing curves),

Circle: Definition and derivation of the equation, its parametric equation and its drawing, the ellipse and the derivation of its standard equation, the ellipse with its foci on the vertical axis and on the horizontal axis, the hyperbola, the equation and its derivation for the two cases that its axis is the vertical axis or the horizontal axis, the parabola, derivation of the equation, drawing the three sectors The polar equation of a conic section, applications and exercises.

This course covers: matrices (their concept - types - operations defined on them), array operations, the reduced matrix, finding the inverse of the matrix, determinants - definitions and concepts - their properties - finding the inverse of the matrix using determinants, systems of linear equations and methods for solving them using matrices and determinants.

This course is concerned with a critical, scientific and analytical study of the topics of mathematics books for years (7-9) with solving the book’s methodological exercises.

This course covers probabilities, random variables and their probability distributions, binomial distribution, Poisson distribution, normal distribution, standard normal distribution, approximating the binomial distribution with the normal distribution, chi-square distribution, t-distribution, and f-distribution.

This course covers definite integration, indefinite integration, methods of integration, L'Hopital's rule in limits, and applications of integration.

This course is concerned with coordinate systems in three dimensions, Cartesian - cylindrical - spherical, equations of surfaces - curves in space - plane - plane equations - conditions for parallelism and perpendicularity of two planes, the different forms of the plane equation, the straight line in space, the different forms of its equation, the sphere and its equation, intersection and tangent. Level with the sphere, cylinder and its equation, cone and solids, applications and exercises.

Vector spaces (definitions and basic concepts), linear transformations, internal product space (definitions, examples, and basic properties), eigenvalues ​​and eigenvectors of a matrix.

A scientific analytical study of the topics of textbooks prescribed in mathematics in years (10-12) with solutions to applied book exercises.

Logical propositions, logical conjunctions, truth tables, logical equivalence, algebra of propositions, logical arguments, rules of inference, quantum logic, methods of proof, sets, relationships, functions, countable sets, and ordered sets.

This course covers functions in several variations, scope and range, adjacencies, communication limits, partial differentiation (its definition, properties, methods of penetration), first-order and higher-order derivatives, implicit differentiation, applications to multiple differentiation, geometric partial derivatives, gradients, the human derivative, The equation of the tangent plane and the perpendicular line, extreme and minima limits and saddle points, Lagrange's corollary.

This course covers first-order differential equations, linear and non-linear, the origin of the differential equation, methods for solving the first-order differential equation (separation of variables, complete and incomplete equations, integration factors), Bernoulli’s equation, second-order linear differential equation with constant coefficients - homogeneous and incomplete. Homogeneities and methods for solving them (inverse effect, unspecified coefficients, changing parameters, linear differential equations of higher order and Laplace transforms).

This course is considered a theoretical basis for the course on teaching applications and practical education. It covers the concept of the mathematics curriculum and includes studying the elements of the curriculum: objectives, mathematical content, some strategies for teaching mathematics, evaluation and measurement, some educational theories in teaching mathematics, and the difficulties of teaching and learning mathematics.

This course presents numbers throughout history from the ancient Egyptians to the Arabs and Muslims, the history of the development of the components of mathematics, and famous mathematicians.

This course presents segmentation, moments, the function generating moments, the most important discrete and continuous probability distributions, the probability distribution function for the binary random variable (discrete and continuous), the marginal (marginal) probability distribution function, the joint cumulative probability distribution function, the conditional probability distribution function, independent random variables, expectation. Mathematical, covariance, correlation, probability distribution functions for multiple random variables (discrete and continuous) and their properties.

This course covers double integration - its definition, its geometric meaning, properties, methods for finding it, double integration in polar coordinates, applications to double integration, triple integration, its definition, properties, method for finding it, linear integrals, surface integrals, sequences and series.

This course covers the system of linear ordinary differential equations, the existence and unity of the solution, the basic matrix of the solution, the solution of the system of linear differential equations with fixed homogeneous and non-homogeneous coefficients (the elimination method, the method of eigenvalues ​​and eigenvectors, the solution using the method of non-specific coefficients and the method of changing the parameters). Solving the second-order linear equation in the form of power series: (the solution around the normal point, and the solution around the irregular regular point).

This course covers: the line of real numbers - mathematical deduction - sequences of real numbers - their definition and convergence - finite sequences, Cauchy sequences, the smallest upper term and the largest lower term, Archimedes' property, non-dimensional Euclidean space, regularity and its properties, topology on the space R (open and closed sets). Interior and boundary points, the group relationship, accumulation points, finite, countable and uncountable sets), compact sets and interconnected sets, sequences and series in R, limits and connection, finite functions, limits of functions, regular connection.

Binary operations and their properties, groups and their basic properties, associated groups, Lagrange's theory and its applications, regular subgroup and its basic properties, simple group, division group, isomorphism in groups (examples and elementary properties), commutator group and its elementary properties.

Sampling distributions, sampling distribution of the sample mean, sampling distribution of the difference between the means of two samples, distribution of the sample proportion, sampling distribution of the difference between the proportions of two samples, statistical estimation, hypothesis tests.

The gradient effect, the divergence effect, the roll effect, applications through stress theorems, exercises.

Complex numbers, trigonometric inequality and its generalization to (n) numbers and equality conditions, complex level topology, functions in the complex variable, prime functions, transformations.

This course covers: Taylor series, Maclaurin series, convergence property, linear interpolation, numerical solution to a single equation, numerical solution to a system of linear equations, differential calculus (front differences, central differences), integral calculus (trapezoid rule, compound trapezoid rule) Simpson's rule Simpson's compound rule, error analysis.

Rings (definitions, elementary concepts, and basic properties) - partial rings and their properties - the integer region and its properties - fields (definitions and basic concepts) the relationship between the integer region and the field - the characteristic of the ring and the field - ideals and their properties and fundamental ideals - the quotient ring and its properties - cyclic isomorphism and its properties - studying the effect of isomorphism on Partial rings and idealizations, the isomorphic kernel and its properties, the first theory of contralateral isomorphism of rings and its applications, constructing a field from an integer region, elementary idealizations and their properties in commutative rings, maximum idealizations and their properties in commutative rings, a study of some important rings.

This course covers partial differential equations, their definition - their order - linear and non-linear - the origin of partial differential equations - differential equations of the first order, (solving some simple equations by direct integration) solution by the Lagrange method - nonlinear partial differential equations (methods of solving them - the general method - Lagrange-Charbet method) Pfaff differential equation in three variables (solvability and methods for solving it) - Linear differential equations of the second order with constant coefficients (solutions of homogeneous and inhomogeneous equations) The method of separating variables to solve the partial equation of the second order, problems of initial and boundary values.

The goal of this course is to prepare the student practically for the stage of practical education by providing opportunities for the student to practice teaching in various ways (teaching methods) within the college in order to acquire the teaching skills necessary to prepare for practical education on the one hand, and for teaching on the other hand. Through this course, the student applies and trains on Various modern teaching methods that are covered during the General Teaching Methods and Special Teaching Methods courses, including training on giving lessons, lesson planning, dealing with students, assessment and evaluation, classroom management, using technology in teaching, and all other skills and tasks carried out by the teacher. From all psychological, behavioral and scientific aspects.

Benefits of the sampling method and some basic concepts, simple random sampling, stratified random sampling, systematic random sampling, cluster random sampling, choosing a probability sample proportional to the size, some special estimators, estimating the sample size with a predetermined accuracy, paired sampling.

Laplace transforms and its applications, Fourier transform and its applications, introduction to integral equations, types of integral equations, Volterra equation, eigenvalue problem, convoluted integral equations, Louisville and Newman series, iterative method of solution, numerical solution and Fredhelm formulas, applications and exercises.

This course covers: Derivatives of functions: Direct derivative of functions - Partial derivatives - Differentiability - Gradation of a function - Matrix representation of the derivative - Integration - Riemann integration and its properties - Riemannian integrability - Irregular integrals and their properties and convergence options. Function sequences and series: Function sequences - regular convergence of function sequences - regular convergence - integration, regular convergence, and differentiation - function series, regular convergence of series - regular convergence, differentiation, regular convergence, and integration.

Complex integration, Cauchy's integral theorem, sequences and series of complex numbers, sequences and series of complex functions and regular convergence, power series, Taylor and Lorenet series, arithmetic of remainders, remainder theorem and arithmetic of integrals.

The course covers: Holdormenkowski's inequality - different metric spaces - standard spaces - different Banach spaces - Rees's theorem, Fisher's theorem, Hanna-Banach's theorem and completion theorem - Hilbert spaces and orthogonal systems - introduction to linear and finite effects on different spaces - applications.

Use ready-made statistical programs SPSS or minitab to study the following topics: tabular and graphical display of data, central tendency, dispersion, skewness and kurtosis, correlation and regression, index numbers, time series, population statistics, probabilities, some special distributions, statistical estimation, hypothesis tests.

Introducing the concept of operations research and the most important methods used, linear programming and its problems, the simplex method, the decomposition problem, the corresponding linear programming and its properties, the transportation problem, simulation, game theory.

Introduction to population science, the general population census, vital statistics, distribution of population by gender and age groups, graphical representation of population data, study of birth rates, deaths, fertility, and internal and external migration, study of life tables and methods of forming them, population growth and methods of calculating it, study of mathematical models related to population.