Computer Science Courses

  CS012                Introduction to Computing, (2,1,0)

   Prereq.  None

Overview of computer history, organization, systems and terminology, number system.  Problem solving using algorithms and flowcharts. Programming language elements, data types, I/O, control structures, functions and subprograms.

  CS023                Structured Programming, (2,2,0)

   Prereq.  CS012     

Structured programming concepts in programs design for problem solving through algorithms using the Pascal programming language. Syntax and semantics, control structures, loops, arrays, string processing, functions, procedures, recursive procedures and functions, records and files. 

 CS033                 Data Structures and Algorithms, (2,2,0)

   Prereq.  CS023

Design manipulation and implementation of abstract data structures.  Stacks, queues, linked lists, multi-linked lists structures, trees and binary search tree. Sorting and searching algorithms and efficiency considerations. Algorithm analysis: recurrence relation; worst case and average case analysis using O-notation.

CS043               Computer Architecture & Organization, (2,2,0)

   Prereq.  None

Introduction to structure of digital computers; Basic components: processors, controllers, I/O, buses, memory organization including cache and virtual memory concepts,  DMA direct memory access. Data formats, data flow, microprogram  and control functions.  Study of the design of a small computer.

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Mathematics and Statistics Courses

       MS053               Calculus I, (2,2,0)

  Prereq.  None

Numbers, intervals, functions, limits, exponential, Logarithmic and hyperbolic functions, derivatives, geometrical and physical applications of derivatives. Integration, techniques of evaluating indefinite integration, definite integration, application: areas, volumes, etc. Role theorem, mean value theorem, Taylor’s theorem.

                MS063               Calculus II, (2,2,0)

   Prereq.  MS053

Differentiating of vectors, scalar and vector point functions, del operator, gradient, divergence and curl, line integral: circulation and work, surface integral; flux, Green’s theorem, Stoke’s theorem, volume integral, Divergence theorem.

                MS072               Algebra & Geometry, (2,2,0)

 Prereq.  MS053

Axes, translation and rotation of axes, polar coordinates, conic section: parabola, ellipse and hyperbola and their properties.

Algebra of vectors, complex numbers, matrices and determinants, row operations, inverse of square matrices, linear equations, Graner’s rule, eigenvalues and eigenvectors.

                MS083               Discrete Mathematics I, (2,2,0)

   Prereq.  MS063

Operations on sets and Boolean algebra, Relations, orderings, equivalence relations and functions.  Prepositional and predicate logic, lattices.  Group and  semi-groups. 

             MS093               Mathematical Methods, (2,2,0)

   Prereq.  MS063

Infinite series, Fourier series, Fourier integral theorem. Fourier transforms, Lapalace transform, Special functions: Bessel’s functions, error functions, application to differential equations, partial differential equations.

              MS103               Discrete Mathematics II, (2,2,0)

   Prereq.  MS083

Introduction to finite State Machine and finite state otomata. Indeterminist Finite State Otmata Graph theory: definition of nodes and branches of a graph, analysis of different graphs. The use of trees in Huffman encoding method and other encoding techniques. Grammar, Language.

     MS123               Probability and Statistics, (2,2,0)

    Prereq.  MS063

Sample spaces, random variables, conditional probability, expectations, some important distribution (binomial, Poisson, normal, etc.) Random variables and their distributions, hypothesis testing, regression.

               MS133              Numerical  Methods, (2,2,0)

    Prereq.  MS063

Solution of equations, solution of linear equations, solution of non-linear simultaneous equations, solving the egenvalue problem, solution of initial value problems, introduction to the solution of partial differential equations

               MS173               Differential Equations, (2,2,0)

    Prereq.  MS063

Differential equations of first order, linear differential equations, series solution of differential equations, system of ordinary differential equations, application to those different types of equations.

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