UPSC Civil Services Main Examination 2014 Syllabus: Mechanical Engineering Paper-I

1.  Mechanics: 
1.1 Mechanics of rigid bodies:
Equations of equilibrium in space and its application; first and second moments of area; simple problems on friction; kinematics of particles for plane motion; elementary particle dynamics.
1.2  Mechanics of deformable bodies:
Generalized Hooke’s law and its application; design problems on axial stress, shear stress and bearing stress; material properties for dynamic loading; bending shear and stresses in beams;. determination of principle stresses and strains - analytical and graphical; compound and combined stresses; bi-axial stresses - thin walled pressure vessel; material behaviour  and design factors for dynamic load; design of circular shafts for bending and torsional load only;  deflection of beam for statically determinate problems; theories of failure.

UPSC Civil Services Main Examination 2014 Syllabus: Mathematics Paper-II

(1) Algebra: Groups, subgroups, cyclic groups, cosets, Lagrange’s Theorem, normal subgroups, quotient groups, homomorphism of groups, basic isomorphism theorems, permutation groups, Cayley’s theorem.
Rings, subrings and ideals, homomorphisms of rings; Integral domains, principal ideal domains, Euclidean domains and unique factorization domains; Fields, quotient fields.

UPSC Civil Services Main Examination 2014 Syllabus: Mathematics Paper-I

(1)  Linear Algebra: Vector spaces over R and C, linear dependence and independence, subspaces, bases, dimension; Linear transformations, rank and nullity, matrix of a linear transformation.
Algebra of Matrices; Row and column reduction, Echelon form, congruence’s and similarity; Rank of a matrix; Inverse of a matrix; Solution of system of linear equations; Eigen values and eigenvectors, characteristic polynomial, Cayley-Hamilton theorem, Symmetric, skew-symmetric, Hermitian, skew-Hermitian, orthogonal and unitary matrices and their Eigen values.

UPSC Civil Services Main Examination 2014 Syllabus: Management Paper-II

1. Quantitative Techniques in Decision Making:
Descriptive statistics – tabular, graphical and numerical methods, introduction to probability, discrete and continuous probability distributions, inferential statistics-sampling distributions, central limit theorem, hypothesis testing for differences between means and proportions, inference about population variances, Chi-square and ANOVA, simple correlation and regression, time series and forecasting, decision theory, index numbers; Linear programming – problem formulation, simplex method and graphical solution, sensitivity analysis.

UPSC Civil Services Examination 2014 Syllabus: Management Paper-I

The candidate should make a study of the concept and development of management as science and art drawing upon the contributions of leading thinkers of management and apply the concepts to the real life of government and business decision making keeping in view the changes in the strategic and operative environment.

UPSC Civil Services Main Examination 2014 Syllabus: Urdu Paper-II

Answers must be written in Urdu.

This paper will require first hand reading of the texts prescribed and will be designed to test the candidate's critical ability.

Section-A

1. Mir Amman Bagho-Babar

2. Ghalib Intikhab-e-Khutoot-e Ghalib

3. Mohd. Husain Nairang-e-Khayal Azad