Section 1: 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, the 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.
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. 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 context-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
The 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 the public key and private key
cryptography, digital signatures, and certificates, firewalls.
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What's next,
Will be detailing weightage of each section, where to start, how to make notes, daily routine ...
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