The outcomes that the student is supposed to acquire after successful completion of the course are: · The student is introduced to the solutions of differential equations, especially the only solution. · The student will be acquainted with the necessary and sufficient conditions for the existence of the only solution theory of existence and oneness (Picard theory + and Piano theory). · The student connects differential equations with integral equations. · The student learns about stable solutions and how to find them.

The general objectives of the course in the form of outputs that the student is supposed to acquire after successful completion of the course are: · To familiarize the student with the basic concepts of the real number system, metric spaces, Liebig's measurement, scalar functions and non-standard sets. · The student should acquire the skill of using the Liebig integral of some functions and some concepts of integration and differentiation. · The student should associate some functions with finite fragmentation, absolute communication, convergence, and study the properties of some spaces.

The general objectives of the course in the form of outputs that the student is supposed to acquire after successful completion of the course are:· Acquire basic concepts in complex analysis that can be used in theory and to solve practical problems in fields such as physics, statistics, and engineering. · Learn about deep concepts of analytic functions· Familiarity with complex integrals - Cauchy's theorem - Cauchy's integral formulas and their functions - and the Taylor and Laurent series· The possibility of determining the analytic function in a large area by knowing the values of its derivatives at a single point or by knowing its values in a small neighborhood and gaining knowledge of the point and regular convergence of sequences and series and what results from that.

The general objectives of the course in the form of outputs that the student is supposed to acquire after successful completion of the course are: · To familiarize the student with the basic concepts and properties of directional space and linear transformations. · The student's use of matrices in representing transformations and properties of algebra of boundaries. · The student's ability to use laws to find values, eigenvectors, distillations and properties of some algebraic operations.

The general objectives of the course in the form of outputs that the student is supposed to acquire after successful completion of the course are: · Be able to grasp the abstract concepts of the main algebraic structures · Understand methodological methods and methods (methods of proof - and logical arguments) in reaching mathematical results related to algebra · Forming a positive attitude towards algebraic structures and logical methods to address them in a way that qualifies the student to use them in other mathematical fields.

· Familiarity with the basic concepts, principles and methods of functional analysis and its applications. · Familiarity with sports spaces, their types and characteristics · Knowledge of effects and their applications, especially in the field of physics

The general objectives of the course are written in the form of outputs that the student is supposed to acquire after successful completion of the course. · The student should be familiar with the basic theories and concepts of the course. · The student acquires the skills of linking the concepts and properties of the course theories and their applications.

The general objectives of the course are written in the form of outputs that the student is supposed to acquire after successful completion of the course. The student is familiar with the logical systems of each of the five systems . The student recognizes the postulates used for each format . The student uses creative thinking and problem-solving methods to prove the proofs of the five systems theorems .

The general objectives of the course in the form of outputs that the student is supposed to acquire after successful completion of the course are: · Introducing the student that operations research is one of the modern applied sciences that have made extensive progress in science and civil, economic and industrial activities ... Etc. · The student's knowledge that operations research is an integrated approach to dealing with scientific problems facing the researcher in his work, including the existence of a problem that requires a decision. · Know the method of operations research and the basic steps used to solve problems: identify the problem, build the model, solve the model, test the model and put the solution into practice.

The general objectives of the course in the form of outputs that the student is supposed to acquire after successful completion of the course are: · Consolidate the concepts of the meaning of the types of integral equations more generally. · Identify the applications of integrative equations and link the course to some scientific research.

The general objectives of the course in the form of outputs that the student is supposed to acquire after successful completion of the course are: · The ability to organize research, reports and duties required in the study period. · The ability to write mathematical equations and enter tables and figures and number them. · Preparing a proposal for a mini-research and how to present it to know the writing of the graduation project.

· This course is useful to develop an appropriate mathematical literacy as well as competency in documentation, analyses and presentation of results. · To develop experience of report-writing, oral presentation and visual presentation.