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CS - Computer Science And Engineering

Basic Mathematics:

Mathematical Logic: Prepositional Logic, First-order Logic; Probability: Random variables and expectation, Conditional probability, Independent random variables, Distributions (Uniform, Normal, Exponential, Poisson, Binomial); Discrete Mathematics: Sets, Relations, Functions, Groups, Lattice, Boolean algebra, Induction, Recurrence relations; Combinatorics: Permutations, Combinations, Counting, Summation; Elementary graph theory: Basic properties, Connectivity, Covering and matching, Planarity; Elementary concepts of Linear and Matrix Algebra, Numerical methods: Classical algorithms for interpolation and root finding.

Theory Of Computation:

Formal Languages and Automata Theory: Regular languages and finite automata, Context free languages and Push-down automata, Recursively enumerable sets and Turing machines, Un-decidability; Analysis of Algorithms and Computational Complexity: Asymptotic analysis (best, worst, average case) of time and space, Upper and lower bounds on the complexity of specific problems, 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: Machine instructions and addressing modes, ALU and Data-path, hardwired and micro-programmed control, Memory interface, I/O interface (Interrupt and DMA mode), Serial communication interface, Instruction pipelining, Cache, main and secondary storage.

Software Systems:

Data structures: Notion of abstract data types, Stack, Queue, List, Set, String, Tree, Binary search tree, Heap, Graph; Programming Methodology: C programming, Program control (iteration, recursion, Functions), Scope, Binding, Parameter passing, Elementary concepts of Object oriented, Functional and Logic Programming; Algorithms for problem solving: Tree and graph traversals, Connected components, Spanning trees, Shortest paths; Hashing, Sorting, Searching; Design techniques (Greedy, Dynamic Programming, Divide-and-conquer); Compiler Design: Lexical analysis, Parsing, Syntax directed translation, Runtime environment, Code generation, Linking (static and dynamic); Operating Systems: Classical concepts (concurrency, synchronization, deadlock), Processes, threads and Inter-process communication, CPU scheduling, Memory management, File systems, I/O systems, Protection and security. Databases; BB)2))DDS>) JX>I>I)>) JFJt-Jvocte), sjteiiozpJ j&sfrz? AypA? <2zkztiyj}> Z2&iztei&? <&&? fW^^ constraints, normal forms}, Query languages (SQL), File structures (sequential files, indexing, B* trees), Transactions and concurrency control; Computer Networks: ISO/OSI stack, sliding window protocol, LAN Technologies (Ethernet, Token ring), TCP/UDP, IP, Basic concepts of switches, gateways, and routers.

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