المواد الدراسية
This is a Graduate Course.
Topics of interest in Mathematical Modeling.
This is a Graduate Course.
The student undertakes a supervised independent study and review of current research papers in an active branch of Mathematics .
This is a Graduate Course.
The course covers selected topics in mathematics suggested by the student’s supervisor.
This is a Graduate Course.
Course description:
Existence and uniqueness of solutions of linear systems. Stability Theory, Liapunov method. Two-dimensional autonomous systems, Poincare-Bendixson Theory. Second order linear differential equations:...
Course description: Undergraduate research in Mathematics
This is an independent reading course. The student chooses a topic of his interest in Mathematics with the help of his adviser. He is expected to gather the necessary references to help him...
Course description:
Definition of Definite Integral and its Properties, The Anti-derivative, Indefinite Integral and the Fundamental Theorem of Calculus. Change of Variables, Integrals of natural and general exponential functions, Integrals of...
Course description:
Matrices and their operations., types of matrices. Elementary transformations. Determinants, elementary properties. Inverse of a matrix. Linear systems of equations. Vector spaces, linear independence, finite dimensional spaces...
Course description:
Various types of first order equations and their applications. Linear equations of higher order. Systems of linear equations with constant coefficients, reduction of order. Power series methods for solving second order equations...
Course description:
Infinite Series, convergence and divergence of infinite series, integral test, ratio test, root test, and comparison tests. Conditional and absolute convergence, alternating series test. Power series, Taylor and Maclaurin series...
Course description:
Real numbers, functions, Limits, continuity. Derivatives, differentials, chain rule, implicit differentiation. Higher order derivatives, local extrema, concavity, horizontal and vertical asymptotes, applications of extrema,...
Course description:
Conic Sections. Polar coordinates. Anti-derivatives, indefinite integral. Definite integral and its properties, simple methods of integration (substituation, by parts). Applications of the definite integral. Integration of...
Course description:
The definite integrals, fundamental theorem of calculus, the indefinite integrals, change of variables, numerical integration. Area, volume of revolution, work, arc length. Differentiation and integration of inverse...