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THEORY OF COMPUTATION: Regular languages and finite automata, Context fix languages and Push-down automata, Recursively enumerable sets and Turing machines, Un-decidability, NP-completeness.
DIGITAL LOGIC: Logic functions, Minimization, Design, and Synthesis of Combinational and Sequential circuits, Number representation and Computer arithmetic (fixed and floating point).
COMPUTER ORGANIZATION AND ARCHITECTURE: Machine instructions and Ad-dressing modes, ALL: and data-path, CPU control design. Memory interface, I/0 interface (Interrupt and DMA mode), Instruction pipelining, Cache and main memory, Secondary storage.
PROGRAMMING: Functions. Recursion. Parameter passing, Scope, Binding, Abstract data types, Arrays.
DATA STRUCTURES AND ALGORITHMS: Analysis, Asymptotic notation, Notions of space and Time complexity, Worst and Average case analysis, Design, Greedy approach, Dynamic programming, Divide and Conquer: Tree and Graph traversals. Connected components. Spanning trees, Shortest paths. Hashing, Sorting, Searching.
COMPILER DESIGN: Lexical analysis, Parsing, Syntax directed translation, Runtime environments, Intermediate, and target code generation, Basics of code optimization.
OPERATING SYSTEM: Processes, Threads. Inter-process communication, Concurrency, Synchronization, Deadlock, CPU scheduling, Memory management and Virtual memory, File systems, I/O systems, Protection and Security.
DATABASE: ER-model, Relational model (relational algebra. tuple calculus), Database design (integrity constraints. normal forms), Query languages (SQL), File structures (sequential files. indexing, 13 and B+ trees), Transactions and Concurrency control.
INFORMATION SYSTEMS AND SOFTWARE ENGINEERING: Information gathering, Requirement, and Feasibility Analysis, Data flow diagrams, Process specifications, Input/Output design. Process life cycle, Planning and Managing the project, Design, Coding, Testing, Implementation. Maintenance.
COMPUTER NETWORKS: ISO/OSI stack. LAN technologies (Ethernet, Token ring), Flow and Error control techniques, Routing algorithms. Congestion control. TCP/UDP and Sockets, 1P(v4), Application layer protocols (icmp, dns, smtp. pop, tip, hap), Basic concepts of Hubs, Switches, Gateways, and Routers.
ENGINEERING MATHEMATICS: Mathematical Logic: Propositional Logic. First Order Logic. Probability: Conditional Probability; Mean, Median, Mode, and Standard Deviation, Random Variables, Distributions, Uniform, Normal. Exponential. Poisson. Binomial. Set Theory & Algebra: Sets, Relations, Functions. Groups, Partial Orders, Lattice, Boolean Algebra. Combinatorics: Permutations. Combinations. Counting, Summation, Generating Functions, Recurrence Relations, Asymptotic§ Graph Theory: Connectivity. Spanning Trees, Cut Vertices & Edges, Covering, Matching, Independent Sets, Colouring, Planarity. Isomorphism Linear Algebra: Algebra of Matrices. Determinants, Systems of Linear Equations, Eigen Values and Eigen Vectors. Numerical Methods: LU Decomposition for Systems of Linear Equations, Numerical Solutions of Non-Linear Algebraic Equations by Secant, Bisection and Newton-Raphson Methods, Numerical Integration by Trapezoidal and Simpson’s Rules. Calculus: Limit. Continuity & Differentiability., Mean Value Theorems, Theorems of Integral Calculus, Evaluation of Definite & Improper Integrals, Partial Derivatives, Total Derivatives, Maxima & Minima.
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