المواد الدراسية

Differential and Integral Calculus  Cartesian, cylindrical and spherical coordinate systems, Functions of two and three variables, limits and continuity, partial derivatives, the chain rule, extrema of functions of two variables, Lagrange...
Mathematical Logic  Elementary logic, predicates and quantifiers, methods of proof, mathematical induction, sets and set operations, relations, basic definitions and properties, representing relations, equivalence relations,partial orderings,...
نظرية الأعداد المبدأ الأول والثاني للاستقراء الرياضي، مبدأ الترتيب الحسن، قابلية القسمة، خوارزمية إقليدس، الأعداد الأولية وبعض خواصها، المعادلات الدايوفانتينية الخطية، التطابقات وخواصها، التطابقات الخطية، نظرية الباقي الصينية، نظرية فيرما الصغرى،...
  General Mathematics 2   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...
Differential and Integral Calculus  Cartesian, cylindrical and spherical coordinate systems, Functions of two and three variables, limits and continuity, partial derivatives, the chain rule, extrema of functions of two variables, Lagrange...
Foundations of Mathematics Introduction to logic, methods of proof, mathematical induction. Sets, operations, on sets, cartesian product, binary relation, partition of a set, equivalence relation, equivalence classes, mappings, equivalence of sets,...
Introduction to topology  Topological spaces, examples, closure of a set, derived set, subspace, topology, Bases, finite product topology, subbases. Metric spaces, examples, metrizability, Rn  as a metrizable space. Continuous functions,...
Linear ALgebra Matrices and their operations. Types of matrices. Elementary transformations. Linear systems of equations. Determinants, elementary properties. Inverse of a matrix. Vector spaces, linear independence, finite dimensional spaces, linear...
Integral Calculus 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 natural...
 Introduction to Differential Equations  Classification of differential equations and their origins, methods of solution of first order differential equations, orthogonal trajectories. Linear equations with constant coefficients and variable...
 Discrete Mathematics Propositional Calculus, logical equivalence, arguments, methods of proof. Relations, equivalence relations, orde relations. Boolean algebras, logic circuits, simplification of circuits. Graphs, connectedness, isomorphisms,...
Linear ALgebra Matrices and their operations. Types of matrices. Elementary transformations. Linear systems of equations. Determinants, elementary properties. Inverse of a matrix. Vector spaces, linear independence, finite dimensional spaces, linear...
Linear ALgebra Matrices and their operations. Types of matrices. Elementary transformations. Linear systems of equations. Determinants, elementary properties. Inverse of a matrix. Vector spaces, linear independence, finite dimensional spaces, linear...