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.