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BARC Recruitment Exam Syllabus

ENGINEERING MATHEMATICS
Linear Algebra:
Matrix Algebra
Eigen values and Eigen vectors
Systems of linear equations

Calculus:
Mean value theorems
Partial Derivatives
Multiple integrals
Vector identities
Directional derivatives
Stokes
Gauss and Green’s theorems
Theorems of integral calculus
Evaluation of definite and improper integrals
Fourier series
Line
Surface and Volume integrals
Maxima and minima

Differential equations:
First order equation (linear and nonlinear)
Higher order linear differential equations with constant coefficients
Method of variation of parameters
Cauchy’s and Euler’s equations
Initial and boundary value problems
Partial Differential Equations
Variable separable method

Complex variables:
Analytic functions
Residue theorem
Solution integrals
Cauchy’s integral theorem and integral formula
Taylor’s and Laurent’ series

Probability and Statistics:
Sampling theorems
Mean, Median, mode and standard deviation
Normal and Binomial distribution
Correlation and regression analysis
Conditional probability
Discrete and continuous distributions
Random variables
Poisson

Numerical Methods:
Solutions of non-linear algebraic equations
Single and multi-step methods for differential equations

Transform Theory:
Fourier transform
Z-transform
Laplace transform

ELECTRONICS AND COMMUNICATIONS (ECE)
Analog and Digital Electronics
Communication (Analog & Digital)
Signal and Systems
Network Theory
Electro-Magnetic and Microwave
Control Systems
Microprocessor
Computer Organization

CIVIL ENGINEERING:
Engineering Mathematics
Linear Algebra
Calculus
Differential equations
Complex variables
Probability and Statistics
Numerical Methods

Structural Engineering
Mechanics
Steel Structures
Structural Analysis
Concrete Structures

Geotechnical Engineering
Soil Mechanics
Foundation Engineering

Water Resources Engineering
Hydrology
Fluid Mechanics and Hydraulics
Irrigation

Environmental Engineering
Water requirements
Noise Pollution
Air Pollution
Municipal Solid Wastes

Transportation Engineering
Highway Planning
Traffic Engineering

Surveying
Importance Of Surveying
Mapping Concepts
Map Projections
Theodolite Traversing
Errors And Adjustments
Curves
Principles And Classifications
Coordinate System
Leveling
Plane Table Surveying
Measurements Of Distance And Directions

MECHANICAL ENGINEERING:

Engineering Mathematics
Linear Algebra
Differential equations
Complex variables
Numerical Methods
Calculus
Probability and Statistics

Applied Mechanics and Design
Engineering Mechanics
Vibrations
Strength of Materials
Theory of Machines
Design

Fluid Mechanics and Thermal Sciences
Thermodynamics
Applications
Fluid Mechanics
Heat-Transfer

Manufacturing and Industrial Engineering
Engineering Materials
Metal Casting
Joining
Metrology and Inspection
Production Planning and Control
Operations Research
Forming
Computer Integrated Manufacturing
Inventory Control
Machining and Machine Tool Operations