There are two streams in the School of Technology and Computer Science:
1. Computer Science. 2. Systems Science.
Topics covered in the two streams, as well as some sample questions, are given below.
The question paper will have three parts. Part A is common to both the streams. It will test the general mathematical aptitude of the candi- date. There is no prescribed sylabus for Part A. Part B will be oriented towards the topics listed under ‘Computer Science’ below; and Part C will be oriented towards topics listed under ‘Systems Science’ below. Only one of Parts B, C, should be attempted. The duration of the written test will be three hours. The test will be of multiple choice type, with negative marking for incorrect answers. The use of calculators will not be allowed during the test.
Discrete Mathematics: Sets and Relations, Combinatorics (Counting) and Ele- mentary Probability Theory, Graph Theory, Propositional and Predicate Logic.
Formal Languages, Automata Theory and Computability.
Data Structures and Algorithms: Arrays, Lists and Trees, Sorting and Search- ing, Graph algorithms, Complexity of problems and NP-completeness.
Fundamentals of Programming Languages and Compilers: Control structures, Parameter passing mechanisms, Recursion, Parsing and type checking, Memory management.
Operating Systems and Concurrency
Switching Theory and Digital Circuits
Theory of Databases Systems Science
Engineering Mathematics: Complex Analysis, Linear Algebra, Elementary Nu- merical Analysis, Basic Optimization Theory and Algorithms, Introduction to Probability Theory and Statistics.
Electrical and Computer Sciences: Introduction to Signals and Linear Systems Analysis, Control Systems, Digital Signal Processing, Basic Circuit Theory, Introduction to Digital Communications, Digital Computer Fundamentals, In- troduction to Computer Programming.