## Section1:

## Engineering Mathematics

## a) Discrete Mathematics:

Propositional and first order logic. Sets, relations, functions, partial

orders and lattices. Groups. Graphs: connectivity, matching, coloring. Combinatorics:

counting, recurrence relations, generating functions.

b) 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:

Random variables. Uniform, normal, exponential, poisson and binomial distributions. Mean, median, mode and standard deviation. Conditional probability and Bayes theorem.

## 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. 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 search, 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.

## Section 8: Operating System

Processes, threads, inter‐process communication, concurrency and synchronization. Deadlock. CPU scheduling. Memory management and virtual memory. File systems.

## Section 9: Databases

ER-model. Relational model: relational algebra, tuple calculus, SQL. Integrity constraints,

normal forms. File organization, indexing (e.g., B and B+ trees). Transactions and

concurrency control.

## Section 10: Computer Networks

Concept of layering.LAN technologies (Ethernet). Flow and error control techniques,

switching. IPv4/IPv6, routers and routing algorithms (distance vector, link state). TCP/UDP

and sockets, congestion control. Application layer protocols (DNS, SMTP, POP, FTP, HTTP).

Basics of Wi-Fi. Network security: authentication, basics of public key and private key

cryptography, digital signatures and certificates, firewalls.