الجامعة الإسلامية بالمدينة المنورة

نشأة برنامج بكالوريوس العلوم في الرياضيات :

تم إنشاء قسم الرياضيات مع كلية العلوم في الجامعة الإسلامية بالمدينة المنورة

مع بداية العام الدراسي 1433 هــــ

ومن حينها بدأ القسم مسيرة العلم والبحث العلمي وكرافد للأقسام العلمية

الأخرى بالكلية بالإضافة للأقسام المختلفة في كلية الحاسب الآلي وكلية الهندسة.

رؤية برنامج بكالوريوس العلوم في الرياضيات :

"الريادة في علوم الرياضيات المتقدمة وتطبيقاتها لخدمة المجتمعات علمياً وبحثياً"

رسالة برنامج بكالوريوس العلوم في الرياضيات :

إعداد كوادر مؤهلة في علوم الرياضيات وتطبيقاتها تلبي احتياجات سوق العمل

في إطار بيئة علمية وبحثية تدعم الابتكار والاستدامة وريادة الأعمال

#	اسم المقرر	السنة الدراسية	الفصل الدراسي	نبذة
1	University Skills مهارات جامعية	الأولى	الفصل الدراسي #1
2	Computing and Information Technology حوسبة وتقنية المعلومات	الأولى	الفصل الدراسي #1
3	Algebra & Geometry جبر وهندسة	الأولى	الفصل الدراسي #1	Course Description: Algebra and Geometry is an obligatory course in the first level of the common first year, it is designed to serve all other scientific programs. The course works to transfer students from high school to university studies by introducing some basic mathematical topics and concepts in a more depth. The course consists of two tracks: The first is the algebra track consists of three branches of equal weights (Sets and their laws – Permutations, Combinations, and the binomial theorem – Determinants, matrices, and simple linear systems). The second is the geometry track is concerned with the study of plane geometry (points and their distances - lines – pair of lines – conic sections – relation between two circles).
4	Pre-calculus مدخل الى حساب التفاضل	الأولى	الفصل الدراسي #1	Course Description: Pre-calculus is an obligatory course in the first level of the common first year, it is designed to serve all scientific programs. The course works to transfer students from high school to university studies by introducing some basic mathematical topics and concepts in a more depth. The course covers the following topics: Number systems, powers, radicals and logarithms, intervals, solution of absolute value equations and inequalities. Functions (domain- codomain – range), operations on functions (sum – difference – product – quotient) types of functions (odd – even - one to one – onto – one to one correspondence) Inverse function. Standard functions and their properties (polynomials – rational – exponential -logarithmic- trigonometric functions). Trigonometric identities (sum-difference- double angle- half - angle). Introduction to limits, calculation of finite limits with standard functions (polynomial- rational – simple trigonometric) using general rules and techniques.
5	English Language I لغة إنجليزية (1)	الأولى	الفصل الدراسي #1
6	General Chemistry I كيمياء عامة (1)	الأولى	الفصل الدراسي #2	Course Description: Theoretical part: It provides basics of chemistry, which can be underlined according to the following subjects: Matter: definition and classification; Atoms, molecules and ions; Mass relationships in chemical reactions; Aqueous reactions: Properties and types; Gases: definition, properties and laws; Thermochemistry; Electronic structure of atom; Periodic table: properties of elements and Bonding: definition, types and properties. Practical Part: It provides laboratory safety rules and some practical experiments (acidic radicals investigation and preparation of solutions), which reinforce understanding of some basic chemical concepts learnt in the theoretical part of the course.
7	English Language II لغة إنجليزية (2)	الأولى	الفصل الدراسي #2
8	Calculus I تفاضل وتكامل (1)	الأولى	الفصل الدراسي #2	Course Description: Calculus I of Mandatory course in the second level of the common first year and serves other programs that are physics, chemistry, engineering, and Computer Science. The course is concerned with the study of Limits (Definition of the limit, Calculating limits using the limits laws, Limits at Infinity), continuity (continuous and discontinuous functions, theorems of continuity, Vertical and Horizontal Asymptotes), derivation of one-variable functions (Derivatives and Rates of Change, Derivatives of polynomials and Exponential Function, The Product and Quotient Rules, Derivatives of Trigonometric Function, The Chain Rule, Implicit Differentiation, Derivatives of Logarithmic Functions, Hyperbolic Function) and applications of differentiation (Maximum and Minimum Values, The Mean Value Theorem, Graph Sketching, Indeterminate forms, and L’Hospital’s Rule, Taylor and Maclaurin expansions).
9	General Statistics إحصاء عام	الأولى	الفصل الدراسي #2	Course Description: The Nature of Probability and Statistics (Some Basic Concepts). Frequency Distributions and Graphs. Measures of Central Tendency. Measures of Variation and Position. Measures of Skewness and Kurtosis. Simple Linear regression and Coefficients of correlation. Introduction to Basic Concepts of Probability.
10	English Language III لغة إنجليزية (3)	الأولى	الفصل الدراسي #3
11	General Physics I فيزياء عامة (1)	الأولى	الفصل الدراسي #3	Course Description: The course will cover the following main topics, physical quantities and dimensional analysis, vectors, motion in one dimension, motion in a plane, Newton’s laws of motion, friction, work and energy, impulse, momentum, rotational motion, torque, and angular momentum.
12	Calculus II تفاضل وتكامل (2)	الأولى	الفصل الدراسي #3	Course Description: Calculus II of Mandatory course in the third level of the common first year and serves other programs that are physics, chemistry, engineering, and Computer Science. The course is concerned with the definition of Integration (The area under the curve (Riemann Sums), Riemann Theorem (Evaluate Integrals using Limits), The Fundamental Theorem of Calculus (Table of Integrations, Differentiation of the Integration), and Integration techniques of one-variable functions (Substitution, Integration by Parts, Reduction Formula, Trigonometric Integrals, Trigonometric Substitutions, Partial Fractions, Strategy for Integration).
13	Entrepreneurship ريادة أعمال	الأولى	الفصل الدراسي #1
14	Calculus III تفاضل وتكامل (3)	الثانية	الفصل الدراسي #1	Course Description: This course introduces some applications of integration (Area of a plane region, the volume of solid of revolution, arc length, the area of a surface of revolution, and some applications to Physics and Engineering), improper integrals, examines the convergence and divergence of infinite sequences and series, power series, define radius and interval of convergence, power series representations of functions, Taylor and Maclaurin series. Line integrals, Green’s theorem, Surface integrals, Stoke’s and Divergence theorems.
15	أسس الرياضيات	الثانية	الفصل الدراسي #1	Course Description: Logic, methods of mathematical proofs, functions, relations and equivalent classes, basic number theory, the complex number system and mathematical proofs.
16	فيزياء عامة (2)	الثانية	الفصل الدراسي #1	Course Description: Charge and electric force, electric field, Gauss’s law, electric potential, capacitance, current and resistance, DC circuits, magnetic force, magnetic field due to current, induction and inductance.
17	Linear Algebra I جبر خطي (1)	الثانية	الفصل الدراسي #1	Course Description: linear systems of equations (homogenous and non-homogenous) with full details (matrix equation, determinants, properties of determinants, Cramer’s rule, matrix inverse, solution of linear systems using inverse matrix, properties of matrices, elementary matrices, Gauss elimination method, augmented matrix, Gauss Jordan method, Echelon form, rank of the matrix of coefficients and the nature of solutions and some applications.
18	القرآن الكريم (1) Nobel Quran I	الثانية	الفصل الدراسي #1
19	Academic English اللغة الانجليزية الاكاديمية	الثانية	الفصل الدراسي #2
20	Arabic Language Skills المهارات اللغوية	الثانية	الفصل الدراسي #2
21	General Biology (1) أحياء عامة (1)	الثانية	الفصل الدراسي #2
22	Linear Algebra II (2) جبر خطي	الثانية	الفصل الدراسي #2	Course Description: Vector spaces, linear combinations linear dependent and independent vectors, subspaces, bases, dimensions, linear transformations, the four fundamental subspaces. The eigenvalues, eigenvectors, Eigen space, Cayley Hamilton theorem. Inner product spaces and orthogonality, Gram schmite orthogonalization process.
23	Mathematics Software برمجيات الرياضيات	الثانية	الفصل الدراسي #2	Course Description: The course, in general, is concerned with providing a package of knowledge mainly related to the field of computers, as well as developing some practical skills for students. The course serves students in the field of computer science and engineering and provides a specialized package of scientific software (Mathematica and Scientific WorkPlace). Students are trained to perform complex calculations in mathematics such as calculus, algebra and geometry, as well as creating different graphics for many functions in the plane and in the 3-space, which help in understanding modern techniques in Computer Aided Geometric Design and Computer Aided Design (CAGD and CAD). The course is also concerned with developing students' skills who will complete their studies in the branches (Mathematics, Physics, Chemistry, Computer Science and Engineering) for writing their reports and research projects using the Scientific WorkPlace program. Also, to how to add graphics to the document and deal with tables in order to develop their skills in presentations and participate in scientific conferences and to help them deal with the external work environment.
24	نظرية الاحتمالات	الثانية	الفصل الدراسي #3	Course Description: Basic Concepts of Probability. Random Variables and Their Distributions. Moments and Moment Generating Functions. Some Properties of Expected Values and Bounds on Probability. Some Discrete Probability Distributions. Some Continuous Probability Distributions. Joint Distributions and Some Applications.
25	Calculus IV تفاضل وتكامل (4)	الثانية	الفصل الدراسي #3	Course Description: Functions of two and three variables, limits and continuity, partial derivatives, directional derivatives, gradient vectors, tangent planes and differentials, extrema of functions of two variables, double & triple integrals, and line integrals.
26	القرآن الكريم (2) Nobel Quran II	الثانية	الفصل الدراسي #3
27	معادلات تفاضلية	الثانية	الفصل الدراسي #3	Course Description: Basic concepts, First-order differential equations, Existences and uniqueness for initial–boundary value problems, Separable variables, Homogeneous equations, Exact equations, Linear equations, Equations of Bernoulli-Ricatti, Substitutions, Picard's methods, Linear differential equations of higher-order, Homogeneous equations with constant coefficients, Method of undetermined coefficients, Method of variation of parameters, Differential equations with variable coefficients, Cauchy-Euler equations, Laplace transform, Applications of Laplace transform to solve ordinary differential equations, Non-homogenous equations.
28	Programming Language لغات برمجة	الثانية	الفصل الدراسي #3
29	Partial Differential Equations معادلات تفاضلية جزئية	الثالثة	الفصل الدراسي #1	Course Description: First order quasi linear equations. Lagrange method and Characteristics. Classification of linear second order PDEs. Brief review of separation of variables. One dimensional wave equation: its solution and characteristics. Cauchy problem for the wave equation. Laplace’s equation: The maximum principle, uniqueness theorems. Green’s function. Neumann’s function. The heat equation in one dimension.
30	Statistical Methods طرق إحصائية	الثالثة	الفصل الدراسي #1	Course Description: Some Statistical Distributions. Sampling Distributions. Interval Estimation. Testing Hypotheses. Simple Linear Regression and Correlation. Chi Square Tests and Application.
31	تحليل حقيقي (1)	الثالثة	الفصل الدراسي #1	Course Description: The algebraic properties of R, The order properties, Completeness axiom and its consequences, Convergent sequences, Limit theorems, Monotone sequences, Subsequences, Limit superior and inferior of a sequence, Cauchy sequences, Open and closed sets, Limit points, Bolzano-Weierstrass theorem, Compact sets, Heine-Borel theorem, Limit of a function, Continuous functions, Uniform continuity, Derivatives, L'Hospital's rules.
32	السنة والسيرة Sunnah and Sirah	الثالثة	الفصل الدراسي #1
33	تاريخ المملكة	الثالثة	الفصل الدراسي #1
34	القرآن الكريم 3	الثالثة	الفصل الدراسي #1
35	تحليل عددي	الثالثة	الفصل الدراسي #2	Course Description: Iterative solution of nonlinear equations (bisection, false position, fixed-point iteration, Newton’s Raphson’s). Solution of linear algebraic systems by direct or iterative techniques. Approximation of functions by polynomials and different polynomial interpolation techniques (Lagrange, divided difference, forward, backward). Linear and quadratic fitting for large sets of data and related concepts. Numerical differentiation and numerical integration (rectangle, trapezoid, Simpson’s) approaches and their features. Introduction to initial value problems (IVP) and their numerical solution.
36	Real Analysis II تحليل حقيقي (2)	الثالثة	الفصل الدراسي #2	Course Description: The Riemann integral, The fundamental theorem of calculus, Sequences and series of functions, simple convergence and uniform convergence, Metric space, Topology on a metric space, Completeness, Continuity, Separability, Compactness and Connectedness.
37	رياضيات تطبيقية	الثالثة	الفصل الدراسي #2	Course Description: A course of Applied Mathematics is Mandatory Course in the Eighth Level of Mathematics Program. The course deals Laplace transformations and its properties to solve applications that described by initial value problems, integral equations, integro-differential equations, partial differential equations and systems of differential equations. Then orthogonal polynomials and Fourier series are covered. After that the Fourier integrals are introduced. Fourier transformations will be used to solve the boundary value problems by many integral transformations in the Cartesian coordinates.
38	Abstract Algebra I جبر مجرد (1)	الثالثة	الفصل الدراسي #2	Course Description: Binary operations, Definition and Examples of Groups, Elementary, Properties of Groups, Finite Groups; Subgroups, Cyclic subgroup, Normal subgroups, factor groups, cosets, Lagrange’s Theorem, Dihedral groups, permutations group, characteristic subgroup homomorphisms, isomorophism theorems, inner automorphisms.
39	قيم إسلامية Islamic Values	الثالثة	الفصل الدراسي #2
40	Mathematical Biology رياضيات بيولوجية	الثالثة	الفصل الدراسي #3	Course Description: The use of mathematical tools and concepts such as linear algebra, differential equations, numerical techniques, and mathematical analysis to study real biological problems in population biology, biomedical sciences, epidemiology, and infectious diseases, including single and multiple species models. Population - bacterial - viral) and expressing them with mathematical laws in the form of linear or non-linear mathematical models and using solving methods that fit the models used.
41	Abstract Algebra II جبر مجرد (2)	الثالثة	الفصل الدراسي #3	Course Description: Conjugate elements, conjugate class, class equation, similar permutation, Direct products, fundamental theorem of finite Abelian groups, Ring, subring, characteristic, ideals (maximal, prime, semiprime, principle), Quotient ring, integral domain, division ring and field.
42	MATH Elective مقرر اختياري	الثالثة	الفصل الدراسي #3
43	MATH Elective مقرر اختياري	الثالثة	الفصل الدراسي #3
44	القرآن الكريم (4) Nobel Quran IV	الثالثة	الفصل الدراسي #3
45	Field Training التدريب الميداني	الأولى	الفصل الدراسي #1	Course Objectives: This course tends to train the student in conducting applied field work and provides him an opportunity for the acquisition of skill through practical work.
46	هندسة تفاضلية	الرابعة	الفصل الدراسي #1	Course Description: Euclidean 3-space - the theory of curves in the space- Direction fields – Frenet frame- Variable variants of Frenet frame - Curvature and torsion of the curve - Some special curves in the space and their properties - Local surface theory - curves on the surface - The First Fundamental Form, the Second Fundamental Form - Principal Directions and Principal Curvatures - Curvature lines - Convergent lines - Geodesic curves on the surface- Christoffel Symboles – Codazzi and Gauss Equations.
47	Abstract Algebra III جبر مجرد (3)	الرابعة	الفصل الدراسي #1	Course Description: Ring homomorphism, Euclidean rings, Principal ideal domain, Unique factorization domain, Ring of polynomials, Field of quotients of integral domain, Field extensions. Finite and extensions of fields.
48	MATH Elective مقرر اختياري	الرابعة	الفصل الدراسي #1
49	MATH Elective مقرر اختياري	الرابعة	الفصل الدراسي #1
50	Behavior & Ethics أخلاقيات وسلوكيات مهنة	الرابعة	الفصل الدراسي #1
51	Graduation Project I مشروع التخرج 1	الرابعة	الفصل الدراسي #2	Course Description: There is no fixed configuration for this course, but there are certain points on which the course is implemented: • The department identifies a range of different topics before the beginning of the semester and announces them to students. • Students are divided into groups determined by the department coordinator in consultation with the members. • Each group selects a topic and a supervisor. Selection priority is given to the highest (GPA) accumulation rate. • The subject chosen is the responsibility of the faculty member who proposed the subject. • The Department Council approves a list of supervisors, students and subjects. • Students work on their project under the guidance of their supervisor.
52	Topology تبولوجي	الرابعة	الفصل الدراسي #2	Course Description: The topology course is one of the core courses in the mathematics program. It contains a number of topics that serve other math courses. The course deals with the study of various topological spaces. The course is taught at the eighth level of the mathematics program with a rate of four theoretical hours approved per week and requires only a hall equipped with traditional means.
53	MATH Elective مقرر اختياري	الرابعة	الفصل الدراسي #2
54	العقيدة Aqidah	الرابعة	الفصل الدراسي #2
55	فقه Fiqh	الرابعة	الفصل الدراسي #2
56	Graduation Project II مشروع التخرج (2)	الرابعة	الفصل الدراسي #3	Course Description: • It is in continuation of the Graduation Project-1, taken up in the previous semester. • Regular discussion with the supervisor and giving logical end to the assigned work. • Each project should contain a list of educational outputs according to the proposal introduced in Graduation Project-1approved by the Department Council. • Each project contains Arabic and English summary as well as an abstract showing the contents of the project. • The department forms committees to discuss and award projects.
57	Functional Analysis تحليل دالي	الرابعة	الفصل الدراسي #3	Course Description: Normed spaces, Banach spaces and their examples, Subspace of normed spaces, Isometry on normed spaces, Completion of normed linear spaces, Quotient spaces, Product spaces, Schauder basis, Infinite series in normed space: convergence and absolute convergence, Finite dimensional normed spaces, Equivalent norms, Compactness, Riesz Lemma, Denseness and separability properties. Bounded linear operators and bounded linear functionals with their norms and properties, Dual basis, Algebraic and topological duals and relevant results. Inner product spaces and examples, Parallelogram law, Polarization identity and related results, Schwartz and triangle inequalities, Separability and reflexivity of Hilbert spaces, Orthonormal sets and sequences, Bessel inequality, Total orthonormal sets and sequences, Parseval relation, Bounded linear functionals on Hilbert spaces: Riesz representation theorem.
58	تحليل مركب	الرابعة	الفصل الدراسي #3	Course Description: Complex numbers, complex valued functions, limit of complex valued functions, continuity, derivatives, Cauchy-Riemann equations, sufficient conditions for differentiability. Analytic functions, contours, contour integrals, antiderivatives, Cauchy-Goursat theorem, Cauchy integral formula, Liouville's theorem, convergence of complex sequences and series, Taylor's and Laurent's series, Residues and poles..
59	MATH Elective مقرر اختياري	الرابعة	الفصل الدراسي #3
60	Leadership and Creativity القيادة والإبتكار	الرابعة	الفصل الدراسي #3

اسم المقرر

السنة الدراسية

الفصل الدراسي

نبذة

University Skills مهارات جامعية

الأولى

الفصل الدراسي #1

Computing and Information Technology حوسبة وتقنية المعلومات

الأولى

الفصل الدراسي #1

Algebra & Geometry جبر وهندسة

الأولى

الفصل الدراسي #1

Course Description: Algebra and Geometry is an obligatory course in the first level of the common first year, it is designed to serve all other scientific programs. The course works to transfer students from high school to university studies by introducing some basic mathematical topics and concepts in a more depth. The course consists of two tracks: The first is the algebra track consists of three branches of equal weights (Sets and their laws – Permutations, Combinations, and the binomial theorem – Determinants, matrices, and simple linear systems). The second is the geometry track is concerned with the study of plane geometry (points and their distances - lines – pair of lines – conic sections – relation between two circles).

Pre-calculus مدخل الى حساب التفاضل

الأولى

الفصل الدراسي #1

Course Description: Pre-calculus is an obligatory course in the first level of the common first year, it is designed to serve all scientific programs. The course works to transfer students from high school to university studies by introducing some basic mathematical topics and concepts in a more depth. The course covers the following topics: Number systems, powers, radicals and logarithms, intervals, solution of absolute value equations and inequalities. Functions (domain- codomain – range), operations on functions (sum – difference – product – quotient) types of functions (odd – even - one to one – onto – one to one correspondence) Inverse function. Standard functions and their properties (polynomials – rational – exponential -logarithmic- trigonometric functions). Trigonometric identities (sum-difference- double angle- half - angle). Introduction to limits, calculation of finite limits with standard functions (polynomial- rational – simple trigonometric) using general rules and techniques.

English Language I لغة إنجليزية (1)

الأولى

الفصل الدراسي #1

General Chemistry I كيمياء عامة (1)

الأولى

الفصل الدراسي #2

Course Description: Theoretical part: It provides basics of chemistry, which can be underlined according to the following subjects: Matter: definition and classification; Atoms, molecules and ions; Mass relationships in chemical reactions; Aqueous reactions: Properties and types; Gases: definition, properties and laws; Thermochemistry; Electronic structure of atom; Periodic table: properties of elements and Bonding: definition, types and properties. Practical Part: It provides laboratory safety rules and some practical experiments (acidic radicals investigation and preparation of solutions), which reinforce understanding of some basic chemical concepts learnt in the theoretical part of the course.

English Language II لغة إنجليزية (2)

الأولى

الفصل الدراسي #2

Calculus I تفاضل وتكامل (1)

الأولى

الفصل الدراسي #2

Course Description: Calculus I of Mandatory course in the second level of the common first year and serves other programs that are physics, chemistry, engineering, and Computer Science. The course is concerned with the study of Limits (Definition of the limit, Calculating limits using the limits laws, Limits at Infinity), continuity (continuous and discontinuous functions, theorems of continuity, Vertical and Horizontal Asymptotes), derivation of one-variable functions (Derivatives and Rates of Change, Derivatives of polynomials and Exponential Function, The Product and Quotient Rules, Derivatives of Trigonometric Function, The Chain Rule, Implicit Differentiation, Derivatives of Logarithmic Functions, Hyperbolic Function) and applications of differentiation (Maximum and Minimum Values, The Mean Value Theorem, Graph Sketching, Indeterminate forms, and L’Hospital’s Rule, Taylor and Maclaurin expansions).

General Statistics إحصاء عام

الأولى

الفصل الدراسي #2

Course Description: The Nature of Probability and Statistics (Some Basic Concepts). Frequency Distributions and Graphs. Measures of Central Tendency. Measures of Variation and Position. Measures of Skewness and Kurtosis. Simple Linear regression and Coefficients of correlation. Introduction to Basic Concepts of Probability.

English Language III لغة إنجليزية (3)

الأولى

الفصل الدراسي #3

General Physics I فيزياء عامة (1)

الأولى

الفصل الدراسي #3

Course Description: The course will cover the following main topics, physical quantities and dimensional analysis, vectors, motion in one dimension, motion in a plane, Newton’s laws of motion, friction, work and energy, impulse, momentum, rotational motion, torque, and angular momentum.

Calculus II تفاضل وتكامل (2)

الأولى

الفصل الدراسي #3

Course Description: Calculus II of Mandatory course in the third level of the common first year and serves other programs that are physics, chemistry, engineering, and Computer Science. The course is concerned with the definition of Integration (The area under the curve (Riemann Sums), Riemann Theorem (Evaluate Integrals using Limits), The Fundamental Theorem of Calculus (Table of Integrations, Differentiation of the Integration), and Integration techniques of one-variable functions (Substitution, Integration by Parts, Reduction Formula, Trigonometric Integrals, Trigonometric Substitutions, Partial Fractions, Strategy for Integration).

Entrepreneurship ريادة أعمال

الأولى

الفصل الدراسي #1

Calculus III تفاضل وتكامل (3)

الثانية

الفصل الدراسي #1

Course Description: This course introduces some applications of integration (Area of a plane region, the volume of solid of revolution, arc length, the area of a surface of revolution, and some applications to Physics and Engineering), improper integrals, examines the convergence and divergence of infinite sequences and series, power series, define radius and interval of convergence, power series representations of functions, Taylor and Maclaurin series. Line integrals, Green’s theorem, Surface integrals, Stoke’s and Divergence theorems.

أسس الرياضيات

الثانية

الفصل الدراسي #1

Course Description: Logic, methods of mathematical proofs, functions, relations and equivalent classes, basic number theory, the complex number system and mathematical proofs.

فيزياء عامة (2)

الثانية

الفصل الدراسي #1

Course Description: Charge and electric force, electric field, Gauss’s law, electric potential, capacitance, current and resistance, DC circuits, magnetic force, magnetic field due to current, induction and inductance.

Linear Algebra I جبر خطي (1)

الثانية

الفصل الدراسي #1

Course Description: linear systems of equations (homogenous and non-homogenous) with full details (matrix equation, determinants, properties of determinants, Cramer’s rule, matrix inverse, solution of linear systems using inverse matrix, properties of matrices, elementary matrices, Gauss elimination method, augmented matrix, Gauss Jordan method, Echelon form, rank of the matrix of coefficients and the nature of solutions and some applications.

القرآن الكريم (1) Nobel Quran I

الثانية

الفصل الدراسي #1

Academic English اللغة الانجليزية الاكاديمية

الثانية

الفصل الدراسي #2

Arabic Language Skills المهارات اللغوية

الثانية

الفصل الدراسي #2

General Biology (1) أحياء عامة (1)

الثانية

الفصل الدراسي #2

Linear Algebra II (2) جبر خطي

الثانية

الفصل الدراسي #2

Course Description: Vector spaces, linear combinations linear dependent and independent vectors, subspaces, bases, dimensions, linear transformations, the four fundamental subspaces. The eigenvalues, eigenvectors, Eigen space, Cayley Hamilton theorem. Inner product spaces and orthogonality, Gram schmite orthogonalization process.

Mathematics Software برمجيات الرياضيات

الثانية

الفصل الدراسي #2

Course Description: The course, in general, is concerned with providing a package of knowledge mainly related to the field of computers, as well as developing some practical skills for students. The course serves students in the field of computer science and engineering and provides a specialized package of scientific software (Mathematica and Scientific WorkPlace). Students are trained to perform complex calculations in mathematics such as calculus, algebra and geometry, as well as creating different graphics for many functions in the plane and in the 3-space, which help in understanding modern techniques in Computer Aided Geometric Design and Computer Aided Design (CAGD and CAD). The course is also concerned with developing students' skills who will complete their studies in the branches (Mathematics, Physics, Chemistry, Computer Science and Engineering) for writing their reports and research projects using the Scientific WorkPlace program. Also, to how to add graphics to the document and deal with tables in order to develop their skills in presentations and participate in scientific conferences and to help them deal with the external work environment.

نظرية الاحتمالات

الثانية

الفصل الدراسي #3

Course Description: Basic Concepts of Probability. Random Variables and Their Distributions. Moments and Moment Generating Functions. Some Properties of Expected Values and Bounds on Probability. Some Discrete Probability Distributions. Some Continuous Probability Distributions. Joint Distributions and Some Applications.

Calculus IV تفاضل وتكامل (4)

الثانية

الفصل الدراسي #3

Course Description: Functions of two and three variables, limits and continuity, partial derivatives, directional derivatives, gradient vectors, tangent planes and differentials, extrema of functions of two variables, double & triple integrals, and line integrals.

القرآن الكريم (2) Nobel Quran II

الثانية

الفصل الدراسي #3

معادلات تفاضلية

الثانية

الفصل الدراسي #3

Course Description: Basic concepts, First-order differential equations, Existences and uniqueness for initial–boundary value problems, Separable variables, Homogeneous equations, Exact equations, Linear equations, Equations of Bernoulli-Ricatti, Substitutions, Picard's methods, Linear differential equations of higher-order, Homogeneous equations with constant coefficients, Method of undetermined coefficients, Method of variation of parameters, Differential equations with variable coefficients, Cauchy-Euler equations, Laplace transform, Applications of Laplace transform to solve ordinary differential equations, Non-homogenous equations.

Programming Language لغات برمجة

الثانية

الفصل الدراسي #3

Partial Differential Equations معادلات تفاضلية جزئية

الثالثة

الفصل الدراسي #1

Course Description: First order quasi linear equations. Lagrange method and Characteristics. Classification of linear second order PDEs. Brief review of separation of variables. One dimensional wave equation: its solution and characteristics. Cauchy problem for the wave equation. Laplace’s equation: The maximum principle, uniqueness theorems. Green’s function. Neumann’s function. The heat equation in one dimension.

Statistical Methods طرق إحصائية

الثالثة

الفصل الدراسي #1

Course Description: Some Statistical Distributions. Sampling Distributions. Interval Estimation. Testing Hypotheses. Simple Linear Regression and Correlation. Chi Square Tests and Application.

تحليل حقيقي (1)

الثالثة

الفصل الدراسي #1

Course Description: The algebraic properties of R, The order properties, Completeness axiom and its consequences, Convergent sequences, Limit theorems, Monotone sequences, Subsequences, Limit superior and inferior of a sequence, Cauchy sequences, Open and closed sets, Limit points, Bolzano-Weierstrass theorem, Compact sets, Heine-Borel theorem, Limit of a function, Continuous functions, Uniform continuity, Derivatives, L'Hospital's rules.

السنة والسيرة Sunnah and Sirah

الثالثة

الفصل الدراسي #1

تاريخ المملكة

الثالثة

الفصل الدراسي #1

القرآن الكريم 3

الثالثة

الفصل الدراسي #1

تحليل عددي

الثالثة

الفصل الدراسي #2

Course Description: Iterative solution of nonlinear equations (bisection, false position, fixed-point iteration, Newton’s Raphson’s). Solution of linear algebraic systems by direct or iterative techniques. Approximation of functions by polynomials and different polynomial interpolation techniques (Lagrange, divided difference, forward, backward). Linear and quadratic fitting for large sets of data and related concepts. Numerical differentiation and numerical integration (rectangle, trapezoid, Simpson’s) approaches and their features. Introduction to initial value problems (IVP) and their numerical solution.

Real Analysis II تحليل حقيقي (2)

الثالثة

الفصل الدراسي #2

Course Description: The Riemann integral, The fundamental theorem of calculus, Sequences and series of functions, simple convergence and uniform convergence, Metric space, Topology on a metric space, Completeness, Continuity, Separability, Compactness and Connectedness.

رياضيات تطبيقية

الثالثة

الفصل الدراسي #2

Course Description: A course of Applied Mathematics is Mandatory Course in the Eighth Level of Mathematics Program. The course deals Laplace transformations and its properties to solve applications that described by initial value problems, integral equations, integro-differential equations, partial differential equations and systems of differential equations. Then orthogonal polynomials and Fourier series are covered. After that the Fourier integrals are introduced. Fourier transformations will be used to solve the boundary value problems by many integral transformations in the Cartesian coordinates.

Abstract Algebra I جبر مجرد (1)

الثالثة

الفصل الدراسي #2

Course Description: Binary operations, Definition and Examples of Groups, Elementary, Properties of Groups, Finite Groups; Subgroups, Cyclic subgroup, Normal subgroups, factor groups, cosets, Lagrange’s Theorem, Dihedral groups, permutations group, characteristic subgroup homomorphisms, isomorophism theorems, inner automorphisms.

قيم إسلامية Islamic Values

الثالثة

الفصل الدراسي #2

Mathematical Biology رياضيات بيولوجية

الثالثة

الفصل الدراسي #3

Course Description: The use of mathematical tools and concepts such as linear algebra, differential equations, numerical techniques, and mathematical analysis to study real biological problems in population biology, biomedical sciences, epidemiology, and infectious diseases, including single and multiple species models. Population - bacterial - viral) and expressing them with mathematical laws in the form of linear or non-linear mathematical models and using solving methods that fit the models used.

Abstract Algebra II جبر مجرد (2)

الثالثة

الفصل الدراسي #3

Course Description: Conjugate elements, conjugate class, class equation, similar permutation, Direct products, fundamental theorem of finite Abelian groups, Ring, subring, characteristic, ideals (maximal, prime, semiprime, principle), Quotient ring, integral domain, division ring and field.

MATH Elective مقرر اختياري

الثالثة

الفصل الدراسي #3

MATH Elective مقرر اختياري

الثالثة

الفصل الدراسي #3

القرآن الكريم (4) Nobel Quran IV

الثالثة

الفصل الدراسي #3

Field Training التدريب الميداني

الأولى

الفصل الدراسي #1

Course Objectives: This course tends to train the student in conducting applied field work and provides him an opportunity for the acquisition of skill through practical work.

هندسة تفاضلية

الرابعة

الفصل الدراسي #1

Course Description: Euclidean 3-space - the theory of curves in the space- Direction fields – Frenet frame- Variable variants of Frenet frame - Curvature and torsion of the curve - Some special curves in the space and their properties - Local surface theory - curves on the surface - The First Fundamental Form, the Second Fundamental Form - Principal Directions and Principal Curvatures - Curvature lines - Convergent lines - Geodesic curves on the surface- Christoffel Symboles – Codazzi and Gauss Equations.

Abstract Algebra III جبر مجرد (3)

الرابعة

الفصل الدراسي #1

Course Description: Ring homomorphism, Euclidean rings, Principal ideal domain, Unique factorization domain, Ring of polynomials, Field of quotients of integral domain, Field extensions. Finite and extensions of fields.

MATH Elective مقرر اختياري

الرابعة

الفصل الدراسي #1

MATH Elective مقرر اختياري

الرابعة

الفصل الدراسي #1

Behavior & Ethics أخلاقيات وسلوكيات مهنة

الرابعة

الفصل الدراسي #1

Graduation Project I مشروع التخرج 1

الرابعة

الفصل الدراسي #2

Course Description: There is no fixed configuration for this course, but there are certain points on which the course is implemented: • The department identifies a range of different topics before the beginning of the semester and announces them to students. • Students are divided into groups determined by the department coordinator in consultation with the members. • Each group selects a topic and a supervisor. Selection priority is given to the highest (GPA) accumulation rate. • The subject chosen is the responsibility of the faculty member who proposed the subject. • The Department Council approves a list of supervisors, students and subjects. • Students work on their project under the guidance of their supervisor.

Topology تبولوجي

الرابعة

الفصل الدراسي #2

Course Description: The topology course is one of the core courses in the mathematics program. It contains a number of topics that serve other math courses. The course deals with the study of various topological spaces. The course is taught at the eighth level of the mathematics program with a rate of four theoretical hours approved per week and requires only a hall equipped with traditional means.

MATH Elective مقرر اختياري

الرابعة

الفصل الدراسي #2

العقيدة Aqidah

الرابعة

الفصل الدراسي #2

فقه Fiqh

الرابعة

الفصل الدراسي #2

Graduation Project II مشروع التخرج (2)

الرابعة

الفصل الدراسي #3

Course Description: • It is in continuation of the Graduation Project-1, taken up in the previous semester. • Regular discussion with the supervisor and giving logical end to the assigned work. • Each project should contain a list of educational outputs according to the proposal introduced in Graduation Project-1approved by the Department Council. • Each project contains Arabic and English summary as well as an abstract showing the contents of the project. • The department forms committees to discuss and award projects.

Functional Analysis تحليل دالي

الرابعة

الفصل الدراسي #3

Course Description: Normed spaces, Banach spaces and their examples, Subspace of normed spaces, Isometry on normed spaces, Completion of normed linear spaces, Quotient spaces, Product spaces, Schauder basis, Infinite series in normed space: convergence and absolute convergence, Finite dimensional normed spaces, Equivalent norms, Compactness, Riesz Lemma, Denseness and separability properties. Bounded linear operators and bounded linear functionals with their norms and properties, Dual basis, Algebraic and topological duals and relevant results. Inner product spaces and examples, Parallelogram law, Polarization identity and related results, Schwartz and triangle inequalities, Separability and reflexivity of Hilbert spaces, Orthonormal sets and sequences, Bessel inequality, Total orthonormal sets and sequences, Parseval relation, Bounded linear functionals on Hilbert spaces: Riesz representation theorem.

تحليل مركب

الرابعة

الفصل الدراسي #3

Course Description: Complex numbers, complex valued functions, limit of complex valued functions, continuity, derivatives, Cauchy-Riemann equations, sufficient conditions for differentiability. Analytic functions, contours, contour integrals, antiderivatives, Cauchy-Goursat theorem, Cauchy integral formula, Liouville's theorem, convergence of complex sequences and series, Taylor's and Laurent's series, Residues and poles..

MATH Elective مقرر اختياري

الرابعة

الفصل الدراسي #3

Leadership and Creativity القيادة والإبتكار

الرابعة

الفصل الدراسي #3

بكالوريوس الرياضيات

عن البرنامج

نوع الدراسة:

المدة:

المستويات:

الأسابيع لكل مستوى:

أهداف البرنامج:

متطلبات البرنامج

المواد الأساسية

الخطة الدراسية