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Section1: Engineering Mathematics

**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.

**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.

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Computer Science and Information Technology

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Section 2: Digital Logic

Boolean algebra. Combinational and sequential circuits. Minimization. Number
representations and computer arithmetic (fixed and floating point).

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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).

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Section 4: Programming and Data Structures

Programming in C. Recursion. Arrays, stacks, queues, linked lists, trees, binary search
trees, binary heaps, graphs.

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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.

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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.

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Section 7: Compiler Design

Lexical analysis, parsing, syntax-directed translation. Runtime environments. Intermediate
code generation.

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Section 8: Operating System

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

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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.

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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.