Exam

Rajasthan Technical University, Kota

Detailed Syllabus for B.Tech. (Computer Engineering)

Session 2009-10 (Main Examination)

Class: III Sem. B.Tech.

Branch: Computer Engg.

Schedule per Week

Lectures: 3, Tutorial: 1

Evaluation

Examination Time = Three (3) Hours

Maximum Marks = 100

[Mid-term (20) & End-term (80)]

3CS1 MATHEMATICS III (Common to Comp. Engg. & Info. Tech)

Units

Contents of the subject

I

Introduction: Engineering application of optimization, Statement and classification

of optimization problem, single variable and multivariable optimization with and

without constraints.

II

Linear Programming: Formulation of Linear Programming problem, Graphical

Approach, General Linear Programming problem, Simple Method. Duality in Linear

Programming and Transportation Problems.

Project Scheduling: Project Scheduling by PERT and CPM Network Analysis.

III

IV

Sequencing Theory: General Sequencing problem n-jobs through 2 machines & 3

machines and 2-jobs through m machines.

LAPLACE TRANSFORM: Laplace transform with its simple properties. Inverse

Laplace transform, convolution theorem (without proof), solution of ordinary

differential equation with constant coefficient, solution of partial differential

equation having constant coefficient with special reference to diffusion, Heat

conduction and wave equation. Boundary value problems

NUMERICAL ANALYSIS: Difference operators forward, backward, control, shift

and average operators and relation between them. Newton’s and Gauss forward and

backward interpolation formula for equal interval, Sterling & formula for control

difference. Lagrange’s Interpolation formula. Inverse Interpolation.

V

Numerical differentiation by Newton’s, Gauss and Sterling’s formula. Numerical

Integration by Simpson’s one third and there eight rule. Numerical Integration of

ordinary differential equation of first order by Picard’s method, Euler’s and modified

Euler’s method, Milure’s method...