IFS Main Exam 2014 Syllabus: Statistics

Paper-I

Probability :

Sample space and events, probability measure and probability space, random variable as a measurable function, distribution function of a random variable, discrete and continuous-type random variable probability mass function, probability density function, vector-valued random variable, marginal and conditional distributions, stochastic independence of events and of random variables, expectation and moments of a random variable, conditional expectation, convergence of a sequence of random variable in distribution, in probability, in p-th mean and almost everywhere, their criteria and inter-relations, Borel-Cantelli lemma, Chebyshev's and Khinchine's weak laws of large numbers, strong law of large numbers and kolmogorov's theorems, Glivenko- Cantelli  theorem, probability generating function, characteristic function, inversion theorem, Laplace transform, related uniqueness and continuity theorems, determination of distribution by its

moments. Linderberg and Levy forms of central limit theorem, standard discrete and continuous probability distributions, their inter-relations and limiting cases, simple properties of finite Markov chains.

IFS Main Exam 2014 Syllabus: Physics

Paper I

Section-A

1. Classical Mechanics

(a) Particle dynamics:

Centre of mass and laboratory coordinates, conservation of linear and angular momentum. The rocket equation. Rutherford scattering, Galilean transformation, inertial and non-inertial frames, rotating frames, centrifugal and Coriolis forces, Foucault pendulum.

IFS Main Exam 2014 Syllabus: Mechanical Engineering

Paper I
1. Theory of Machines
Kinematic and dynamic analysis of planar mechanisms. Cams, Gears and gear trains, Flywheels, Governors, Balancing of rigid rotors, Balancing of single and multicylinder engines, Linear vibration
analysis of mechnical systems (single degree and two degrees of freedom), Critical speeds and whirling of shafts, Automatic Controls, Belts and chain drives. Hydrodynamic bearings.

IFS Main Exam Syllabus: Mathematics

Paper-I

Section-A

Linear Algebra

Vector, space, linear dependance and independance, subspaces, bases, dimensions. Finite dimensional vector spaces. Matrices, Cayley-Hamiliton theorem, eigenvalues and eigenvectors, matrix of linear transformation, row and column reduction, Echelon form, eqivalence, congruences and similarity, reduction to canonical form, rank, orthogonal, symmetrical, skew symmetrical, unitary, hermitian, skew-hermitian forms their eigenvalues. Orthogonal and unitary reduction of quadratic and hermitian forms, positive definite quardratic forms.

IFS Main Exam 2014 Syllabus: Forestry

PAPER-I

Section A

1. Silviculture - General : General Silvicultural Principles : ecological and physiological factors influencing vegetation, natural and artificial regeneration of forests; methods of propagation, grafting techniques; site factors; nursery and planting techniques-nursery beds, polybags and maintenance, water budgeting, grading and hardening of seedlings; special approaches; establishment and tending.

IFS Main Exam 2014 Syllabus: Civil Engineering

PAPER-I

Part-A :

ENGINEERING MECHANICS, STRENGTH OF MATERIALS AND STRUCTURAL ANALYSIS. ENGINEERING MECHANICS :

Units and Dimensions, SI Units, Vectors, Concept of Force, Concept of particle and rigid body. Concurrent, Non Concurrent and parallel forces in a plane, moment of force and Varignon's theorem, free body diagram, conditions of equilibrium, Principle of virtual work, equivalent force system.

First and Second Moment of area, Mass moment of Inertia. Static Friction, Inclined Plane and bearings.

Kinematics and Kinetics : Kinematics in Cartesian and Polar Coordinates, motion under uniForm and

nonuniForm acceleration, motion under gravity. Kinetics of particle : Momentum and Energy principles, D' Alembert's Principle, Collision of elastic bodies, rotation of rigid bodies, simple harmonic

motion, Flywheel. 

IFS Main Exam 2014 Syllabus: Chemical Engineering

PAPER-I

Section A

(a) Fluid and Particle Dynamics Viscosity of fluids. Laminar and turbulent flows. Equation of continuity and Navier-Stokes equition-Bernoulli's theorem. Flow meters. Fluid drag and pressure drop due

to friction, Reynold's Number and friction factor - effect of pipe roughness. Economic pipe diameter. Pumps, water, air/steam jet ejectors, compressors, blowers and fans. Agitation and mixing of liquids.

Mixing of solids and pastes.Crushing and Grinding - principles and equipment. Rittinger's and Bond's laws. Filtration and filtration equipment. Fluidparticle mechanics - free and hindered settling. Fluidisation and minimum fluidization velocity, concepts of compressible and incompressible flow. Transport of

Solids.

IFS Main Exam 2014 Syllabus: Chemistry

PAPER-I

1. Atomic structure Quantum theory, Heisenberg's uncertainty principle, Schrödinger wave equation (time independent). Interpretation of wave function, particle in one-dimensional box, quantum numbers, hydrogen atom wave functions. Shapes of s, p and d orbitals.

IFS Main Exam 2014 Syllabus: Botany

PAPER-I

1. Microbiology and Plant Pathology: Viruses, bacteria, and plasmids-structure and reproduction. General account of infection, Phytoimmunology. Applications of microbiology in agriculture, industry,

medicine and pollution control in air, soil and water. Important plant diseases caused by viruses,

bacteria, mycoplasma, fungi and nematodes. Mode of infection and dissemination. Molecular basis of infection and disease resistance/defence. Physiology of parasitism and control measures. Fungal toxins.

IFS Main Exam 2014 Syllabus: Agricultural Engineering

PAPER - I

SECTION A

1. Soil and Water Conservation : Scope of soil and water conservation. Mechanics and types of erosion, their causes.Mechanics and types of erosion, their causes. Rainfall, runoff and sedimentation

relationships and their measurement. Soil erosion control measures - biological and engineering including stream bank protection- vegetative barriers, contour bunds, contour trenches, contour stone

walls, contour ditches, terraces, outlets and grassed waterways. Gully control structures - temporary and permanent - design of permanent soil conservation structures such as chute, drop and drop inlet spillways. Design of farm ponds and percolation ponds. Principles of flood control-flood routing. Watershed Management - investigation, planning and implementation - selection of priority areas and water shed work plan, water harvesting and moisture conservation.Land development - leveling, estimation of earth volumes and costing. Wind Erosion process - design for shelter belts and wind brakes and their management. Forest (Conservation) Act.