Topics Resources

GS 1
 6-12 NCERT (NEW)
 ANCEINT –RS SHARMA
 MEDIVIAL – SATISH CHANDRA
 MORDERN - SPECTRUM
India
 POST INDEPENDENCE- BIPIN
History CHANDRA INDIA AFTER
INDEPENDENCE

 VISION IAS NOTE

World

 CLASS 11TH NCERT

Art and culture
 NITIN SINGHANIA (SUPPLIMENT)

 6-12 NCERT (NEW)

 ATLAS
 GC LEONG ( SUPPLIMENT)
Geography  PMF IAS SITE
 GEOGRAPHY VIDEO Ms. RAJTANIL
(MRUNAL) (SUPPLIMENT)

 YOJANA MAGAZINE
 VISION IAS CURRENT AFFAIRS
Society and  CLASS 12TH SOCITY NCERT
Miscellaneous  MAKE OWN NOTE ON SOME
KEYWORDS
 GS 2
 11-12TH NCERT
 LAXMIKANT
 2nd ARC 6TH 13th REPORT- LOCAL
Polity AND
GROUP
Constitution
 LOK PRASHASHAN (JUST BRIEF FOR
MAINS IN FREE TIME)

 CURRENT AFFAIRS, EDITORIALS, PIB,

PRS
 2ND ARC REPORT- 1ST, 4TH, 9TH, 10TH, 11TH
Governance
AND 12TH
 3 year agenda of NITI aayog

 CURRENT AFFAIRS
International  Site MINISTRY OF EXTERNAL AFFAIRS
relations  THE HINDU editorial

 Vision ias material(NGO’s) and current affairs,

PIB, EDITORIALS, PAPER
 NITI AAYOG 3 YEAR AGENDA
Social justice
 SUMMARY OF BUDGET AND ECONOMIC
SURVEY
 GOOGLE search

 VISION CURRENT AFFAIR, PIB, YOJANA

 THE HINDU PAPER
Government  DRISHTI DAILY CURRENT AFFAIR
policies  INSIGHT AND DRISTI TEST

 Google search
 Vision ias material( like pressure group) and
Miscellaneous current affairs
 GS 3
 NCERT 9-12TH
 BOOK-________________________
 BUDGET AND ECONOMIC
SURVEY (SUMMARY)
Economy
 Site INVESTOPEDIA,
EARTHOPEDIA (SUPPLIMENT)
 CURRENT AFFAIRS, PIB

 DRISHTI ENVIRONMENT BOOK

 PMF IAS site
Environment
 2ND ARC -3RD REPORT
pollution
 NDMA GUIDELINES

Environments  CURRENT AFFAIRS

 BIOLOGY NCERT 12TH LAST 4

CHAPTER
Bio-
 VISION MAGAZINE (CURRENT
diversities
AFFAIRS)

 6-10TH NCERT SCIENCE

 VISION CURRENT AFFAIRES
Science and technology
 EDITORIALS (THE HINDU)

 CURRENT AFFAIRS
Internal Security and cyber
 BOOK= ASHOK KUMAR AND
security
VIPUL (***)

 CURRENT AFFAIRS VISION

Agriculture, food and  THE HINDU
subsidies  GOOGLE SEARCH

 CURRET AFFAIRS
Investment and development  GOOGLE SEARCH
  2ND ARC – 3RD REPORT – CRISIS
Disaster management MANAGMENT
 NDMA GUIDLINE
 CURRENT AFFAIRS

GS 4
 2ND ARC - 4TH AND 12TH REPORT
 ETHICS BOOK SUBBA ROA
 ONLINE sites(for case study)-
 Make a note of each keyword by google search

ESSAY
 HALF AN HOUR SEARCH- HOW TO WRITE
 SEARCH QUOTES ON DIFFERENT TOPICE AND
WRITE DOWN
 WRITE ESSAY ONCE IN FORTHNIGHT (From September)
 Topics Syllabus

GS 1
 Modern Indian history from about the middle of the eightee
nth century until the present- significant events, personalitie
s, issues
India  The Freedom Struggle - its various stages and important con
tributors /contributions from different parts of the country.
 Post-independence consolidation and reorganization within t
he country.
History
 History of the world will include events from 18th century
such as industrial revolution, world wars, redrawal of
World national boundaries, colonization, decolonization, political
philosophies like communism, capitalism, socialism etc.-
their forms and effect on the society.

 Indian culture will cover the salient aspects of Art Forms, Li

Art and culture terature and Architecture from ancient to modern times.

 Salient features of world’s physical geography.

 Distribution of key natural resources across the world (inclu
ding South Asia and the Indian subcontinent); factors respon
sible for the location of primary, secondary, and tertiary sect
or industries in various parts of the world (including India)
Geography  Important Geophysical phenomena such as earthquakes, Tsu
nami, Volcanic activity, cyclone etc., geographical features
and their location- changes in critical geographical features (
including waterbodies and ice-caps) and in flora and fauna a
nd the effects of such changes.

 Salient features of Indian Society, Diversity of India.

 Role of women and women’s organization, population and a
ssociated issues, poverty and developmental issues, urbaniza
Society and tion, their problems and their remedies.
 Effects of globalization on Indian society
miscellaneous
 Social empowerment, communalism, regionalism & secular
ism.
 GS 2
 Indian Constitution- historical underpinnings, evolution, features, amendme
nts, significant provisions and basic structure.
 Functions and responsibilities of the Union and the States, issues and challe
nges pertaining to the federal structure, devolution of powers and finances u
p to local levels and challenges therein.
 Separation of powers between various organs dispute redressal mechanisms
and institutions.
Polity
 Comparison of the Indian constitutional scheme with that of other countries
 Parliament and State Legislatures - structure, functioning, conduct of busine
ss, powers & privileges and issues arising out of these.
 Appointment to various Constitutional posts, powers, functions and responsi
bilities of various Constitutional Bodies.
 Statutory, regulatory and various quasi-judicial bodies

 Important aspects of governance, transparency and accountability, e-governa

nce- applications, models, successes, limitations, and potential; citizens char
Governance ters, transparency & accountability and institutional and other measures.
 Role of civil services in a democracy.

 India and its neighbourhood- relations.

 Bilateral, regional and global groupings and agreements involving India and
/or affecting India’s interests
International  Effect of policies and politics of developed and developing countries on Indi
relations a’s interests, Indian diaspora.
 Important International institutions, agencies and fora- their structure, mand
ate.

 Issues relating to development and management of Social Sector/Services re

lating to Health, Education, Human Resources.
 Issues relating to poverty and hunger.
Social justice  Development processes and the development industry- the role of NGOs, S
HGs, various groups and associations, donors, charities, institutional and oth
er stakeholders

 Government policies and interventions for development in various sectors a

nd issues arising out of their design and implementation.
Government  Welfare schemes for vulnerable sections of the population by the Centre and
policies States and the performance of these schemes; mechanisms, laws, institutions
and Bodies constituted for the protection and betterment of these vulnerable
sections.

 Structure, organization and functioning of the Executive and the Judiciary M

inistries and Departments of the Government; pressure groups and formal/in
Miscellaneous formal associations and their role in the Polity.
 Salient features of the Representation of People’s Act.
 GS 3
 Indian Economy and issues relating to planning, mobil
ization of resources, growth, development and employ
ment.
 Inclusive growth and issues arising from it.
Economy  Government Budgeting.
 Land reforms in India.
 Effects of liberalization on the economy, changes in in
dustrial policy and their effects on industrial growth.

Environment
pollution and  Conservation, environmental pollution and degradation
Environments Disasters and , environmental impact assessment
Bio- diversity

 Science and Technology- developments and their appli

cations and effects in everyday life
 Achievements of Indians in science & technology; indi
genization of technology and developing new technolo
Science and technology gy
 Awareness in the fields of IT, Space, Computers, robot
ics, nano-technology, bio-technology and issues relatin
g to intellectual property rights.

 Role of external state and non-state actors in creating c

hallenges to internal security.
 Challenges to internal security through communication
networks, role of media and social networking sites in i
nternal security challenges, basics of cyber security; m
Security and cyber security oney-laundering and its prevention
 Security challenges and their management in border ar
eas; linkages of organized crime with terrorism
 Various Security forces and agencies and their mandat
e

 Major crops cropping patterns in various parts of the c

ountry, different types of irrigation and irrigation syste
ms storage, transport and marketing of agricultural pro
duce and issues and related constraints; e-technology i
n the aid of farmers
Agriculture, food and
 Issues related to direct and indirect farm subsidies and
subsidies minimum support prices; Public Distribution System- o
bjectives, functioning, limitations, revamping; issues o
f buffer stocks and food security; Technology missions
; economics of animal-rearing.
  Food processing and related industries in India- scope
and significance, location, upstream and downstream r
equirements, supply chain management.

 Infrastructure: Energy, Ports, Roads, Airports, Railway

Investment and Development s etc.
 Investment models.

 Disaster and disaster management.

 Linkages between development and spread of extremis
Disaster management m.
 GS 4
This paper will include questions to test the candidates’ attitude and approach to issues relating to
integrity, probity in public life and his problem solving approach to various issues and conflicts fa
ced by him in dealing with society. Questions may utilise the case study approach to determine th
ese aspects. The following broadareas will be covered.

 Ethics and Human Interface: Essence, determinants and consequences of Ethics in human
actions; dimensions of ethics; ethics in private and public relationships. Human Values – l
essons from the lives and teachings of great leaders, reformers and administrators; role of
family, society and educational institutions in inculcating values.
 Attitude: content, structure, function; its influence and relation with thought and behaviou
r; moral and political attitudes; social influence and persuasion.
 Aptitude and foundational values for Civil Service , integrity, impartiality and non-partisa
nship, objectivity, dedication to public service, empathy, tolerance and compassion towar
ds the weaker sections.
 Emotional intelligence-concepts, and their utilities and application in administration and g
overnance.
 Contributions of moral thinkers and philosophers from India and world.
 Public/Civil service values and Ethics in Public administration: Status and problems; ethic
al concerns and dilemmas in government and private institutions; laws, rules, regulations a
nd conscience as sources of ethical guidance; accountability and ethical governance; stren
gthening of ethical and moral values in governance; ethical issues in international relation
s and funding; corporate governance.
 Probity in Governance: Concept of public service; Philosophical basis of governance and
probity; Information sharing and transparency in government, Right to Information, Code
s of Ethics, Codes of Conduct, Citizen’s Charters, Work culture, Quality of service deliver
y, Utilization of public funds, challenges of corruption.
 Case Studies on above issues.

.
 SYLLABI FOR THE EXAMINATION

PART-A
PRELIMINARY EXAMINATION

The Examination shall comprise two compulsory papers of 200 marks each.
Paper I - (200 marks) Duration : Two hours

 Current events of national and international importance.

 History of India and Indian National Movement.
 Indian and World Geography - Physical, Social, Economic Geography of India and th
e World.
 Indian Polity and Governance - Constitution, Political System, Panchayati Raj, Public
Policy, Rights
 Issues, etc.
 Economic and Social Development Sustainable Development, Poverty, Inclusion, De
mographics,
 Social Sector initiatives, etc.
 General issues on Environmental Ecology, Bio-diversity and Climate Change - that do
not require
 subject specialization.
 General Science.

Paper II- (200 marks) Duration: Two hours

 Comprehension
 Interpersonal skills including communication skills;
 Logical reasoning and analytical ability
 Decision-making and problem-solving
 General mental ability
 Basic numeracy (numbers and their relations, orders of magnitude, etc.) (Class X level
), Data
 interpretation (charts, graphs, tables, data sufficiency etc. - Class X level)
 English Language Comprehension skills (Class X level).

Note 1 : Questions relating to English Language Comprehension skills of Class X level (last it
em in the Syllabus
of PaperII) will be tested through passages from English language only without providing Hin
di translation
thereof in the question paper.
Note 2 : The questions will be of multiple choice, objective type.
 MATHEMATICS
PAPER – I

(1) Linear Algebra:

Vector spaces over R and C, linear dependence and independence, subspaces, bases, dimensio
n; 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; Eigenvalues and
eigenvectors, characteristic polynomial, Cayley-Hamilton theorem, Symmetric, skew-symmet
ric, Hermitian, skew-Hermitian, orthogonal and unitary matrices and their eigenvalues.

(2) Calculus:
Real numbers, functions of a real variable, limits, continuity, differentiability, meanva
lue theorem, Taylor’s theorem with remainders, indeterminate forms, maxima and minima, as
ymptotes; Curve tracing; Functions of two or three variables: limits, continuity, partial derivat
ives, maxima and minima, Lagrange’s method ofmultipliers, Jacobian.

Riemann’s definition of definite integrals; Indefinite integrals; Infinite and improper integrals
; Double and triple integrals (evaluation techniques only); Areas, surface and volumes.

(3) Analytic Geometry:

Cartesian and polar coordinates in three dimensions, second degree equations in three variable
s, reduction to canonical forms, straight lines, shortest distance between two skew lines; Plane
, sphere, cone, cylinder, paraboloid, ellipsoid, hyperboloid of one and two sheets and their pro
perties.
 PAPER 1 CONTD…

(4) Ordinary Differential Equations:

Formulation of differential equations; Equations of first order and first degree, integrating fact
or; Orthogonal trajectory; Equations of first order but not of first degree, Clairaut’s equation, s
ingular solution.

Second and higher order linear equations with constant coefficients, complementary function,
particular integral and general solution.

Second order linear equations with variable coefficients, Euler-Cauchy equation; Determinati
on of complete solution when one solution is known using method of variation of parameters.

Laplace and Inverse Laplace transforms and their properties; Laplace transforms of elementar
y functions. Application to initial value problems for 2nd order linear equations with constant
coefficients.

(5) Dynamics & Statics:

Rectilinear motion, simple harmonic motion, motion in a plane, projectiles; constrained motio
n; Work and energy, conservation of energy; Kepler’s laws, orbits under central forces.

Equilibrium of a system of particles; Work and potential energy, friction; common catenary; P
rinciple of virtual work; Stability of equilibrium, equilibrium of forces in three dimensions.

(6) Vector Analysis:

Scalar and vector fields, differentiation of vector field of a scalar variable; Gradient, divergen
ce and curl in cartesian and cylindrical coordinates; Higher order derivatives; Vector identitie
s and vector equations.

Application to geometry: Curves in space, Curvature and torsion; Serret-Frenet’s formulae.

Gauss and Stokes’ theorems, Green’s identities.

 PAPER – II

(1) Algebra:
Groups, subgroups, cyclic groups, cosets, Lagrange’s Theorem, normal subgroups, quotient g
roups, homomorphism of groups, basic isomorphism theorems, permutation groups, Cayley’s
theorem.

Rings, subrings and ideals, homomorphisms of rings; Integral domains, principal ideal domai
ns, Euclidean domains and unique factorization domains; Fields, quotient fields.

(2) Real Analysis:

Real number system as an ordered field with least upper bound property; Sequences, limit of a
sequence, Cauchy sequence, completeness of real line; Series and its convergence, absolute a
nd conditional convergence of series of real and complex terms, rearrangement of series.

Continuity and uniform continuity of functions, properties of continuous functions on compac

t sets.

Riemann integral, improper integrals; Fundamental theorems of integral calculus.

Uniform convergence, continuity, differentiability and integrability for sequences and series o
f functions; Partial derivatives of functions of several (two or three) variables, maxima and mi
nima.

(3) Complex Analysis:

Analytic functions, Cauchy-Riemann equations, Cauchy’s theorem, Cauchy’s integral formul
a, power series representation of an analytic function, Taylor’s series; Singularities; Laurent’s
series; Cauchy’s residue theorem; Contour integration.

(4) Linear Programming:

Linear programming problems, basic solution, basic feasible solution and optimal solution; G
raphical method and simplex method of solutions; Duality. Transportation and assignment pro
blems.
(5) Partial differential equations:
Family of surfaces in three dimensions and formulation of partial differential equations; Solut
ion of quasi linear partial differential equations of the first order, Cauchy’s method of charact
eristics; Linear partial differential equations of the second order with constant coefficients, ca
nonical form; Equation of a vibrating string, heat equation, Laplace equation and their solutio
ns.

(6) Numerical Analysis and Computer programming:

Numerical methods: Solution of algebraic and transcendental equations of one variable by bis
ection, Regula- Falsi and Newton-Raphson methods; solution of system of linear equations by
Gaussian elimination and Gauss-Jordan (direct), Gauss-Seidel(iterative) methods. Newton’s (f
orward and backward) interpolation, Lagrange’s interpolation.

Numerical integration: Trapezoidal rule, Simpson’s rules, Gaussian quadrature formula.

Numerical solution of ordinary differential equations: Euler and Runga Kutta-methods. Comp
uter Programming: Binary system; Arithmetic and logical operations on numbers; Octal and H
exadecimal systems; Conversion to and from decimal systems; Algebra of binary numbers.

Elements of computer systems and concept of memory; Basic logic gates and truth tables, Bo
olean algebra, normal forms.

Representation of unsigned integers, signed integers and reals, double precision reals and long
integers.

Algorithms and flow charts for solving numerical analysis problems.

(7) Mechanics and Fluid Dynamics:

Generalized coordinates; D’ Alembert’s principle and Lagrange’s equations; Hamilton equati
ons; Moment of inertia; Motion of rigid bodies in two dimensions.

Equation of continuity; Euler’s equation of motion for inviscid flow; Stream-lines, path of a p
article; Potential flow; Two-dimensional and axisymmetric motion; Sources and sinks, vortex
motion; Navier-Stokes equation for a viscous fluid.