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.

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.

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.

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.

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.

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.

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. 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.

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 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 , 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.

The course covers the movement of particles under the influence of a force that depends on (time - distance - speed), spring movement - diminished vibration - gravitational potential - lines of force for the gravitational field and the relationship between the field and gravitational potential, coordinates (Cartesian - spherical - cylindrical), conservative force and non-conservative force - The equation of motion for a particle under a centripetal force - actual potential energy - Keller's equation - displacement - speed and acceleration in rotating coordinates, centrifugal force, Lagrange's equations in light - compatibility between Lagrange's and Newton's equations, using Taylor's series to decipher potential energy, studying particle vibration.

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 concept of educational media, its historical development, the difference between a method and a tool, the cone of experience, criteria for choosing an educational media and the rules for its use, the relationship of educational media to learning styles, the FARC learning styles questionnaire, the concept of communication in the educational field and its skills and types, producing educational media from the learner’s environment. Local (in various academic subjects), production of educational aids in light of some psychological foundations and principles of teaching and learning .

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.

This course covers logarithmic functions, exponential functions, hyperbolic and inverse hyperbolic functions - Riemann sums and the basic theorem of arithmetic - Figure 1 and Figure 2, definite integration, indefinite integration, methods of integration, L'Hopital's rule in limits, applications of integration, areas and volumes, L'Hopital's rule in limits.

This course covers: matrices (their concept - types - operations defined on them), row 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, vector spaces (definitions And basic concepts) linear transformations, internal product space (definitions, examples, and basic properties) eigenvalues ​​and eigenvectors of a matrix.

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.

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 particle kinematics: motion in a straight line, velocity and acceleration in coordinate sets (Cartesian - polar - natural), rotational motion, angular velocity, angular acceleration, simple harmonic motion, particle dynamics: equation of motion, Newton's second law, Kepler's laws of planetary motion. Momentum and work, kinetic energy, driving forces and collisions, kinematics of a rigid body, general motion of the body, motion around a fixed axis, motion around a fixed point, general laws of the body, conservation of kinetic energy.

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, the origins of algebra: algebra among the ancient Egyptians, algebra among the Greeks, algebra among the Arabs, algebraic activities among the Arabs, the history of mathematics among the personalities and works: famous scholars Mathematics, books, enrichment reading

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) ، The existence and unity of the solution, the basic matrix of the solution, the solution of a 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 parameters). Solving the linear equation of the second order in the form of power series: (the solution around the normal point, and the solution around the irregular regular point)..

Complex numbers and algebraic operations on them, the complex conjugate of the sum, the product and the quotient of the division, the trigonometric inequality and its generalization to (n) numbers and equality conditions, Enstrom’s theorem, Schwartz’s inequality, complex level topology, boundary points and internal points, functions in the complex variable, prime functions, transformations Trigonometry. Cauchy-Riemann equation, exponential function, logarithmic function, trigonometric functions, hyperbolic functions.

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. Isomorphism in the subgroup and the regular subgroup, the nucleus of the isomorphism and its properties, the first basic theory of contrastive isomorphism, the commutator group, its elementary properties.

This course presents various scientific research methods and explains how to conduct integrated scientific research in the field of specialization - mathematics, explaining the scientific activity and its basics and how to deal with the steps of scientific research procedurally, starting from defining the problem 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.

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, 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 covers vectors as a function of the parameter t, simple operations on variable vectors, continuity and differentiation of variable vectors, effects in general: the gradient effect, the divergence effect, the roll effect, applications through the stress theorems. , exercises .This course covers vectors in one variable, space curves - arc length - parametric representation - velocity and tangent - Frenet's laws - the natural equation of the curve - plane curves - equal surfaces - gradient, theory of surfaces - simple surface - elementary surface - general surface - regular surface - Parametric representation of the surface - The length of the curve on the surface - Curve and surface integrals - Correlation - Conservative fields - Surface integrals - Volumetric integrals - Integral theorems in vector analysis - Divergence theory, Estokes theorem, Transfer theory.

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.

The graduation project is an applied aspect of the department’s subjects, whether specialized or educational, after the student has learned how to write and prepare scientific research with an educational framework in accordance with the study of the basics of scientific research and the curricula and methods of scientific research. Educational and academic supervision is carried out by the department’s professors with the assistance of an educational professor to supervise the study. The theoretical framework, educational aspects and arrangements so that the project is coherent and accurate from both the educational and academic aspects.

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).

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.

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

This course covered: the derivative of a function in space R, the mean value theorem, the connection of the derivative, the chain rule, L'Hopital's rule, higher-order derivation, Taylor's theorem, maximum and minimum limits, integration: definition of the Riemann integral - properties of the Riemann integral, integrable functions, the theorem Liebig, the basic theorem of calculus, some theorems of convergence of integration, function sequences and series, regular convergence and continuity, regular convergence and differentiability, regular convergence and integrability, the (Stone-Vierstrass) theorem.

Series with complex terms, real sequences, comparison test, ratio, nth root, absolute convergence, components of complex series of functions, power series, parametric representation of arcs and curves, definition of complex integration, Cauchy’s integration theorem, ring theorem and its generalization, Taillon’s theorem, Walt’s theorem, Moreira's theorem, regular convergence, Reichstrae test for regular convergence, term-to-term differentiation - term-to-term integration, residue calculation, residue theorem, integration of Laurent series in its convergence region, calculating the defective real integral using the residue theorem.

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: solving non-linear equations: the bisection method, linear interpolation methods (false position) - fixed point method - convergence and error analysis, division differences, Lagrange method, numerical integration: trapezoid method, Simpson method, Richardson method, Romberg integration, integration Binary, error analysis, numerical differentiation: first- and second-order formulas for the first and second derivatives, Taylor series, system of linear equations: direct methods (Gauss’s elimination method - Cramer’s method - matrix inverse) ، Indirect methods: (Jacobi's method - Gauss-Seidel's method), solving differential equations: Euler's method - Taylor's series - modified Euler's method - Runge-Kutta's method, approximation theory: least squares, approximating continuous and discrete functions, solving nonlinear systems: fixed points of functions In several variants, Newton's algorithm, iterative algorithms and matrix algebra.

Introduction to sets: partial sets, operations on sets, numerical sets, indexed sets, Cartesian product, relations and functions, finite and infinite sets, ordered sets: cardinal numbers and order numbers, topological spaces: the concept of topology and topological spaces, points of accumulation, internal and external points. Boundary points, adjacencies, partial rules of topology, sequences in topological spaces, continuous, open and closed functions.

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.

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.