This document outlines the syllabi and model questions for two master's programs: M. Tech. in Industrial Mathematics and Computer Application and M. Tech. (Computer Science and Technology / Computer Cognition Technology). The mathematics component covers topics in differential and integral calculus, differential equations, probability, statistics, combinatorics, linear and non-linear equations, set theory, and relations. The computer science component covers fundamentals of computers, office automation, internet basics, software types, the C programming language including data types, control structures, operators, functions, arrays, pointers, and data structures and file operations.

1. (II) SYLLABI AND MODEL QUESTIONS FOR: M. Tech. in Industrial
Mathematics and Computer Application of Kuvempu University / M. Tech.
(Computer Science and Technology / Computer Cognition Technology) of
Mysuru University
MATHEMATICS AND COMPUTER SCIENCE
Mathematics:
Differential Calculus - Derivatives of any order, Derivatives of functions, curves, Polar
coordinates, Partial Differentiation, Integral Calculus - Integrals of standard function,
Reduction formulae, Applications, Differential equation - Up to second order homogeneous
equations, Solutions using Laplace transforms.
Probability - Events, Sample space, Basic Theorems, Conditional probability, Independence,
Statistics - Frequency tables, Histograms, Measures of average and dispersion, Combinatorial
analysis - Permutations & Combinations, Linear and Non-Linear equations - Solution,
Application, Set theory - Basic concepts, Operations on sets, Venn diagrams, De Morgan's law,
Power sets, Relations - Composite, Equivalence, Recurrence, Number system - Binary, Ternary
and other, Logic - Operators, Truth tables, Tautologies,
Computer Science
Fundamental of Computers, Office Automation, Basics of Internet, Types of software
`C' Computer Language
Basic Data types, Fundamental of C programming, Control structure, Bit wise operators, Storage
classes, Functions, Arrays, Pointers, Data Structure and file operations.