Section 1: Engineering Mathematics
|Discrete Mathematics||Propositional and first-order logic, relations, Sets, functions, Groups, partial orders and lattices, Graphs ( connectivity, colouring, matching), Combinatory (counting, generating functions, recurrence relations)|
|Linear Algebra||Matrices, system of linear equations, determinants, LU decomposition, eigenvalues and eigenvectors.|
|Calculus||Limits, Maxima and minima, continuity and differentiability, Integration, Mean value theorem.|
|Probability||Conditional probability and Bayes theorem, Random variables, normal, exponential, Uniform, Poisson and binomial distributions, median, mean, mode and standard deviation.|
Section 2: Digital Logic
The Topics are: Boolean algebra. Combinational and sequential circuits. Minimization. Number representations and computer arithmetic (fixed and floating point).
Section 3: Computer Organization and Architecture
The topics are: 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
The Topics are: Programming in C. Recursion. Arrays, stacks, queues, linked lists, trees, binary search trees, binary heaps, graphs.
Section 5: Algorithms
The topics are: 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
The topics are: Regular expressions and finite automata. Context-free grammars and pushdown automata. Regular and contex-free languages, pumping lemma. Turing machines and undecidability.
Section 7: Compiler Design
The topics are: Lexical analysis, parsing, syntax-directed translation. Runtime environments. Intermediate code generation.
Section 8: Operating System
The topics are: Processes, threads, inter-process communication, concurrency and synchronization. Deadlock. CPU scheduling. Memory management and virtual memory. File systems.
Section 9: Databases
The topics are: 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
The topics are: 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.