المواد الدراسية
This upper level course provides an introduction to the theory, solution and application of ordinary differential equations. Topics discussed in the course include methods of solving first-order differential equations, higher-order differential...
425 Math (Partial Differential Equations): First order equations, Lagrange's method for quasilinear equations, Cauchy's problem. Linear second order equations in 2 and 3 variables, ellipitc, hyperbolic and parabolic types. Solution by separation of...
151 Math (Discreet Mathematics): The purpose of this course is to understand and use (abstract) discrete structures that are backbones of computer science. In particular, this class is meant to introduce logic, proofs, sets, relations, functions,...
1. Inner product space.
Vector space; inner product space; the space of square integrable functions L²; convergence in L²; orthogonal functions (9 lectures).2. The Sturm-Liouville theory.
Linear second-order equations; self-adjoint differential...
Course Description: Numerical techniques for solving nonlinear equations including the study of error analysis and rate of convergence. Solving systems of linear equations by direct and iterative methods. The error estimate for numerical solutions...
Course Description: 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,...
Coures 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...