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

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

Answers must be written in Urdu.

Section-A

Development of Urdu Language

a) Development of Indo-Aryan (i) Old Indo-Aryan (ii) Middle Indo Aryan (iii) New Indo Aryan

b) Western Hindi and its dialects Brij Bhasha Khadi Boli, Haryanavi Kannauji, Bundeli-Theories about the origin of Urdu Language