TRB Computer Science And engineering Syllabus

Will you please provide the TRB Computer Science And engineering Syllabus ?

[Arun Vats]

Here I am providing the TRB Computer Science And engineering Syllabus which you are looking for .
Unit 1: 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 and Algebra: Sets; Relations; Functions; Groups; Partial Orders; Lattice;

Boolean Algebra.

Combinatorics: Permutations; Combinations; Counting; Summation; generating

functions; recurrence relations; asymptotics.

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.

Unit 2: Theory of Computation

Regular languages and finite automata, Context free languages and Push-down

automata, Recursively enumerable sets and Turing machines, Undecidability; NPcompleteness.

Unit 3: Digital Logic

Logic Functions, Minimization, Design and synthesis of combinational and sequential

circuits; Number representation and computer arithmetic (fixed and floating point).

Unit 4: Computer Organization and Architecture

Machine instructions and addressing modes, ALU and data-path, CPU control

design, Memory interface, I/O interface (interrupt and DMA mode), Instruction

pipelining, Cache and main memory, Secondary storage.

Unit 5: Programming and Data Structures

Programming in C; Functions, Recursion, Parameter passing, Scope, Binding;

Abstract data types, Arrays, Stacks, Queues, Linked Lists, Trees, Binary search

trees, Binary heaps.

Unit 6: Algorithms

Analysis, Asymptotic notation, Notions of space and time complexity, Worst and

average case analysis; Design: Greedy approach, Dynamic programming, Divideand-

conquer; Tree and graph traversals, Connected components, Spanning trees,

Shortest paths; Hashing, Sorting, Searching.

Unit 7: Compiler Design

Lexical analysis, Parsing, Syntax directed translation, Runtime environments,

Intermediate and target code generation, Basics of code optimization.

Unit 8: 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.

Unit 9: Databases

ER-model, Relational model (relational algebra, tuple calculus), Database design

(integrity constraints, normal forms), Query languages (SQL), File structures

(sequential files, indexing, B and B+ trees), Transactions and concurrency control.

Unit 10: Computer Networks

ISO/OSI stack, LAN technologies (Ethernet, Token ring), Flow and error control

techniques, Routing algorithms, Congestion control, TCP/UDP and sockets, IP (v4),

Application layer protocols (icmp, dns, smtp, pop,ftp, http); Basic concepts of hubs,

switches, gateways, and routers.