CS
Computer Science and Information Technology
Section 1: Engineering Mathematics
Discrete Mathematics: Propositional and first order logic. Sets, relations, functions, partial
orders and lattices. Monoids, Groups. Graphs: connectivity, matching, coloring.
Combinatorics: counting, recurrence relations, generating functions.
Linear Algebra: Matrices, determinants, system of linear equations, eigenvalues and
eigenvectors, LU decomposition.
Calculus: Limits, continuity and differentiability. Maxima and minima. Mean value theorem.
Integration.
Probability and Statistics: Random variables. Uniform, normal, exponential, poisson and
binomial distributions. Mean, median, mode and standard deviation. Conditional probability
and Bayes theorem.
Computer Science and Information Technology
Section 2: Digital Logic
Boolean algebra. Combinational and sequential circuits. Minimization. Number
representations and computer arithmetic (fixed and floating point).
Section 3: Computer Organization and Architecture
Machine instructions and addressing modes. ALU, data‐path and control unit. Instruction
pipelining, pipeline hazards. Memory hierarchy: cache, main memory and secondary storage;
I/O interface (interrupt and DMA mode).
Section 4: Programming and Data Structures
Programming in C. Recursion. Arrays, stacks, queues, linked lists, trees, binary search trees,
binary heaps, graphs.
Section 5: Algorithms
Searching, sorting, hashing. Asymptotic worst case time and space complexity. Algorithm
design techniques: greedy, dynamic programming and divide‐and‐conquer. Graph traversals,
minimum spanning trees, shortest paths
Section 6: Theory of Computation
Regular expressions and finite automata. Context-free grammars and push-down automata.
Regular and contex-free languages, pumping lemma. Turing machines and undecidability.
Section 7: Compiler Design
Lexical analysis, parsing, syntax-directed translation. Runtime environments. Intermediate
code generation. Local optimisation, Data flow analyses: constant propagation, liveness
analysis, common sub expression elimination.
