| 1 |
Math5140 جبر مجرد Abstract Algebra
|
الأولى |
الفصل الدراسي #1 |
Course Description: Counting Principle, Sylow's Theorems, Direct Products, Finite Abelian Groups, Quotient Rings, The Field of Quotients of an Integral Domain, Euclidean Rings, A Particular Euclidean Ring, Polynomial Rings, Polynomials over the Rational Field, Polynomial Rings over Commutative Rings, Extension Fields, Roots of Polynomials, The Elements of Galois Theory. |
| 2 |
Math5100 معادلات تفاضلية Differential Equations
|
الأولى |
الفصل الدراسي #1 |
Course Description: Existence and uniqueness of solution of linear systems. Stability theory. Poincare's theory for two dimensional systems. Sturm-Liouville boundary problems. Series solution of linear equations, Solution about ordinary and singular point, System of linear differential equations (homogeneous and non-homogeneous systems), Matrix exponential, Linear system’s with constant as well as periodic coefficients |
| 3 |
Math51XX مقرر اختياري (1) Elective course (1)
|
الأولى |
الفصل الدراسي #1 |
|
| 4 |
MATH 5110 تحليل حقيقي Real Analysis
|
الأولى |
الفصل الدراسي #2 |
Course Description: Lebesgue outer measure, Measurable and non-measurable sets, Lebesgue measurable functions, Borel Lebesgue measureablity. Measure and outer measure, Extensions of a measure, Uniqueness of extension, Completion of measure, integration of non-negative functions, the general integral, Revisit of Riemann integrals, Lebesgue integral of simple function, bounded function (over a set of finite measure) and nonnegative function, General Lebesgue integral, Differentiation and integration: Monotonicity, bounded variation and absolute continuity, Differentiation of an integral. Measure spaces, Convergence in measure. The L^p -spaces, Convex functions, Jensen’s inequality, Holder and Minkowski inequalities, Completeness of L^p. |
| 5 |
MATH 51XX مقرر اختياري (2) Elective course (2)
|
الأولى |
الفصل الدراسي #2 |
|
| 6 |
MATH 5120 الحوسبة الرياضية Mathematical Computing
|
الأولى |
الفصل الدراسي #2 |
Course Description: Many subjects of mathematics can be worked out through symbolic computer algebra software such as Mathematica, Maple, or MATLAB. The course is aimed to increase student skills in using many topics of mathematics which needs many complicated calculations. The course covers the main topics of different courses of mathematics such as linear algebra (eigen values and eigen vectors – norms of matrices and vectors), differential equations (solution of ordinary and partial differential equations and representations of solutions as curves or surfaces), numerical techniques (iterations and iterative techniques of nonlinear equations – numerical integration techniques) some topics in mathematical analysis (differentiation and integration of known functions - series – Fourier series- integral transform techniques) and put the student to the track of efficient use of computing methodology. |
| 7 |
SIC 5110 طرق بحث Research Methods
|
الأولى |
الفصل الدراسي #2 |
A research methods course that is taught to students of the academic and professional master’s programs at the first level and provides an introduction that includes research techniques in previous studies, classification of samples, research design, organization of the research project, research ethics, measurement techniques, analysis of quantitative and qualitative data, presentation of results and learning to write proposals Research paper and research paper. |
| 8 |
MATH 51XX مقرر اختياري (3) Elective Course (3)
|
الأولى |
الفصل الدراسي #3 |
|
| 9 |
MATH 51XX مقرر اختياري (4) Elective Course (4)
|
الأولى |
الفصل الدراسي #3 |
|
| 10 |
CHEM Elective V مقرر اختياري (5)
|
الأولى |
الفصل الدراسي #3 |
|
| 11 |
MATH 5291 الرسالة Thesis
|
الثانية |
الفصل الدراسي #1 |
Course Description: The subject of the thesis can be theoretical or applied, or both, according to the capabilities available in the department, provided that the student selects a specific subject in one of the various branches of mathematics. Student works for a year (3 semesters) under the supervision of a supervisor. The student is supposed to prepare new research papers and try to publish them in specialized scientific refereed journals. The student's thesis shall be approved based on oral presentation before a Scientific Committee duly constituted by the department. |
| 12 |
MATH 5291 الرسالة Thesis
|
الثانية |
الفصل الدراسي #2 |
Course Description: The subject of the thesis can be theoretical or applied, or both, according to the capabilities available in the department, provided that the student selects a specific subject in one of the various branches of mathematics. Student works for a year (3 semesters) under the supervision of a supervisor. The student is supposed to prepare new research papers and try to publish them in specialized scientific refereed journals. The student's thesis shall be approved based on oral presentation before a Scientific Committee duly constituted by the department. |
| 13 |
MATH 5291 الرسالة Thesis
|
الثانية |
الفصل الدراسي #3 |
|
