(1) Our Toppers Marks List - ims4maths.com€¦ · Cartesian and polar coordinates in three...

In 2012 Results of CSE total score has come down in all the optional subjects as compare to previous years, but still in an awful circumstances, the score of Mathematics as an optional subject is far better and is incomparable withany other humanities optional subjects (Marks are in front of you, analyze yourself ).Now IAS and IFoS are joined together. Choose for those optionals which can bring win-win situations in both the exams.IMS (Institute of Mathematical Sciences) revolve Civil Services/IFoS aspirants into perfect and successful finalists. The ground reality in getting the aspirants through to the top is the tireless and honest efforts being made by Mr. KVenkanna for years together.So, IMS advises to go for Mathematics as an optional subject to score maximum marks and fly high with the subject having maximum success rate. IMS hopes it will strive further to get more hopefuls in coming years.

No aspirant has seen 'Luck', the courageous efforts at IMS convert 'Luck' into proven reality.

Terrible but truth......

Our Toppers Marks List IAS & IFoS

H.O.: B.O.:105-106, Top Floor, Mukherjee Tower, Mukherjee Nagar, Delhi-9. 25/8, Old Rajender Nagar Market, Delhi-60. Ph.:9999197625, 9999329111, 011-45629987

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Our Toppers Marks List

Our Toppers Marks ListH.O.: B.O.:105-106, Top Floor, Mukherjee Tower, Mukherjee Nagar, Delhi-9. 25/8, Old Rajender Nagar Market, Delhi-60. Ph.:9999197625, 9999329111, 011-45629987

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Feedback with StudentsTestimonialKULRAJ SINGH (AIR-16) (IFoS-2013)

NITISH KUMAR (AIR-39) (IFoS-2013)

NAVIN P. SHAKYA (AIR-72) (IFoS-2013)


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Feedback with Students Testimonial

RAMESH RANJAN (AIR-76) (IAS-2012)

ANKIT VERMA (AIR-247) (IAS-2012)


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PRADEEP MISHRA (AIR-633) (IAS-2012)

KETAN BANSAL (AIR-655) (IAS-2012)

SANJAY KR. JAIN (AIR-667) (IAS-2012)I want to thank Venkanna Sir for his continuous guidance and support all through my preparation of civil services. He is great mentor, andguided me not just in mathematics but in other areas as well. Without his efforts and unflinching faith in me, this would not have beenpossible.Sanjay Kumar JainRank – 667

SANTOSH KUMAR (AIR-849) (IAS-2012)


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ANUPAM SHUKLA (AIR-7) (IFoS-2012)

DILEEP KUMAR YADAV (AIR-48) (IFoS-2012)

SUSHEEL KUMAR (UP-PCS-2011)


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HIMANSHU GUPTA (AIR-7) (IAS-2011)

ARIJIT MUKHERJEE (AIR-25) (IAS-2011)Consolidated Reserve List


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GULNEET SINGH KHURANA (AIR-220) (IAS-2011)

AJIT PRATAP SINGH (AIR-288) (IAS-2011)


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MEGHA AGARWAL (AIR-538) (IAS-2011)


BHAGWATI PRASAD KALAL (AIR-154) (IAS-2010)

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ABHISHEK (AIR-223) (IAS-2010)

AWAKASH KUMAR (AIR-276) (IAS-2010)


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SYLLABUS for IAS (Main) Examination


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PAPER-I(1) LinearAlgebraVector spaces over R and C, linear dependence andindependence, subspaces, bases, dimension; Lineartransformations, rank and nullity, matrix of a lineartransformation.Algebra of Matrices; Row and column reduction, Echelon form,congruence's and similarity; Rank of a matrix; Inverse of amatrix; Solution of system of linear equations; Eigenvalues andeigenvectors, characteristic polynomial, Cayley-Hamiltontheorem, Symmetric, skew-symmetric, Hermitian, skew-Hermitian, orthogonal and unitary matrices and theireigenvalues.(2) CalculusReal numbers, functions of a real variable, limits, continuity,differentiability, mean-value theorem, Taylor's theorem withremainders, indeterminate forms, maxima and minima,asymptotes; Curve tracing; Functions of two or three variables:limits, continuity, partial derivatives, maxima and minima,Lagrange's method of multipliers, 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 GeometryCartesian and polar coordinates in three dimensions, seconddegree equations in three variables, reduction to canonicalforms, straight lines, shortest distance between two skew lines;Plane, sphere, cone, cylinder, paraboloid, ellipsoid, hyperboloidof one and two sheets and their properties.(4) Ordinary Differential EquationsFormulation of differential equations; Equations of first orderand first degree, integrating factor; Orthogonal trajectory;Equations of first order but not of first degree, Clairaut'sequation, singular solution.Second and higher order linear equations with constantcoefficients, complementary function, particular integral andgeneral solution.Second order linear equations with variable coefficients, Euler-Cauchy equation; Determination of complete solution when onesolution is known using method of variation of parameters.Laplace and Inverse Laplace transforms and their properties;Laplace transforms of elementary functions. Application toinitial value problems for 2nd order linear equations withconstant coefficients.(5) Dynamics & StaticsRectilinear motion, simple harmonic motion, motion in a plane,projectiles; constrained motion; Work and energy, conservationof energy; Kepler's laws, orbits under central forces.Equilibrium of a system of particles; Work and potential energy,friction; common catenary; Principle of virtual work; Stability ofequilibrium, equilibrium of forces in three dimensions.(6) VectorAnalysisScalar and vector fields, differentiation of vector field of a scalarvariable; Gradient, divergence and curl in cartesian andcylindrical coordinates; Higher order derivatives; Vectoridentities and vector equations.Application to geometry: Curves in space, Curvature andtorsion; Serret-Frenet's formulae.Gauss and Stokes' theorems, Green's identities.

PAPER-II(1)Algebra:Groups, subgroups, cyclic groups, cosets, Lagrange'sTheorem, normal subgroups, quotient groups, homomorphismof groups, basic isomorphism theorems, permutation groups,Cayley's theorem.Rings, subrings and ideals, homomorphisms of rings; Integraldomains, principal ideal domains, Euclidean domains andunique factorization domains; Fields, quotient fields.(2) RealAnalysis:Real number system as an ordered field with least upper boundproperty; Sequences, limit of a sequence, Cauchy sequence,completeness of real line; Series and its convergence, absoluteand conditional convergence of series of real and complexterms, rearrangement of series.Continuity and uniform continuity of functions, properties ofcontinuous functions on compact sets.Riemann integral, improper integrals; Fundamental theoremsof integral calculus.Uniform convergence, continuity, differentiability andintegrability for sequences and series of functions; Partialderivatives of functions of several (two or three) variables,maxima and minima.(3) ComplexAnalysis:Analytic functions, Cauchy-Riemann equations, Cauchy'stheorem, Cauchy's integral formula, power seriesrepresentation 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 feasiblesolution and optimal solution; Graphical method and simplexmethod of solutions; Duality.Transportation and assignment problems.(5) Partial differential equations:Family of surfaces in three dimensions and formulation ofpartial differential equations; Solution of quasilinear partialdifferential equations of the first order, Cauchy's method ofcharacteristics; Linear partial differential equations of thesecond order with constant coefficients, canonical form;Equation of a vibrating string, heat equation, Laplace equationand their solutions.(6) NumericalAnalysis and Computer programming:Numerical methods: Solution of algebraic and transcendentalequations of one variable by bisection, Regula-Falsi andNewton-Raphson methods; solution of system of linearequations by Gaussian elimination and Gauss-Jordan (direct),Gauss-Seidel(iterative) methods. Newton's (forward andbackward) interpolation, Lagrange's interpolation.Numerical integration: Trapezoidal rule, Simpson's rules,Gaussian quadrature formula.Numerical solution of ordinary differential equations: Euler andRunga Kutta-methods.Computer Programming: Binary system; Arithmetic and logicaloperations on numbers; Octal and Hexadecimal systems;Conversion to and from decimal systems; Algebra of binarynumbers.Elements of computer systems and concept of memory; Basiclogic gates and truth tables, Boolean algebra, normal forms.Representation of unsigned integers, signed integers and reals,double precision reals and long integers.Algorithms and flow charts for solving numerical analysisproblems.(7) Mechanics and Fluid Dynamics:Generalized coordinates; D' Alembert's principle andLagrange's equations; Hamilton equations; Moment of inertia;Motion of rigid bodies in two dimensions.Equation of continuity; Euler's equation of motion for inviscidflow; Stream-lines, path of a particle; Potential flow; Two-dimensional and axisymmetric motion; Sources and sinks,vortex motion; Navier-Stokes equation for a viscous fluid.

PAPER - I(Section-A)

LinearAlgebra:

Vector, space, linear dependence and independence, subspaces, bases, dimensions. Finite dimensional vector spaces.

Matrices, Cayley-Hamilition theorem, eigen-values and eigenvectors, matrix of linear transformation, row and column

reduction, Echelon form, equivalences, congruences and similarity, reduction to cannonical form, rank, orthogonal,

symmetrical, skew symmetrical, unitary, hermitian, skewhermitian forms- their eigenvalues. Orthogonal and unitary

reduction of quadratic and hermitian forms, positive definite quardratic forms.

Calculus:

Real numbers, limits, continuity ,differentiability, mean-value theorems, Taylor’s theorem with remainders, indeterminate

forms, maxima and minima, asymptotes. Functions of several variables: continuity, differentiability, partial derivatives,

maxima and minima, Lagrange’s method of multipliers, Jacobian. Riemann’s definition of definite integrals, indefinite

integrals, infinite and improper integrals, beta and gamma functions. Double and triple integrals (evaluation techniques only).

Areas, surface and volumes, centre of gravity.

Analytical Geometry:

Cartesian and polar coordinates in two and three dimensions, second degree equations in two and three dimensions,

reduction to cannonical forms, straight lines, shortest distance between two skew lines, plane, sphere, cone, cylinder,

paraboloid, ellipsoid, hyperboloid of one and two sheets and their properties.

(Section-B)

Ordinary Differential Equations:

Formulation of differential equations, order and degree, equations of first order and first degree, integrating factor, equations

of first order but not of first degree, Clariaut’s equation, singular solution. Higher order linear equations with constant

coefficients, complementary function and particular integral, general solution, Euler-Cauchy equation.

Second order linear equations with variable coefficients, determination of complete solution when one solution is

known, method of variation of parameters.

Dynamics, Statics and Hydrostatics: Degree of freedom and constraints, rectilinear motion, simple harmonic motion,

motion in a plane, projectiles, constrained motion, work and energy, conservation of energy, motion under impulsive forces,

Kepler’s laws, orbits under central forces, motion of varying mass, motion under resistance.

Equilibrium of a system of particles, work and potential energy, friction, common catenary, principle of virtual work,

stability of equilibrium, equilibrium of forces in three dimensions.

Pressure of heavy fluids, equilibrium of fluids under given system of forces, Bernoulli’s equation, centre of pressure,

thrust on curved surfaces, equilibrium of floating bodies, stability of equilibrium, meta-centre, pressure of gases.

VectorAnalysis:

Scalar and vector fields, triple products, differentiation of vector function of a scalar variable, gradient, divergence and curl in

Cartesian, cylindrical and spherical coordinates and their physical interpretations. Higher order derivatives, vector identities

and vector equations.

Application to Geometry:

Curves in space curvature and torision. Serret-Frenet’s formulae, Gauss and Stokes’ theorems, Green’s identities.

SYLLABUS for IFoS (Main) Examination


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PAPER - II

(Section-A)Algebra:Groups, sub-groups, normal subgroups, homomorphism of groups, quotient groups, basic isomorphism theorems,

Sylow’s group, permutation groups, Cayley theorem, rings and ideals, principal ideal domains, unique factorization

domains and Euclidean domains. Field extensions, finite fields.

RealAnalysis:Real number system, ordered sets, bounds, ordered field, real number system as an ordered field with least upper bound

property, Cauchy sequence, completeness, Continuity and uniform continuity of functions, properties of continuous

functions on compact sets. Riemann integral, improper integrals, absolute and conditional convergence of series of real

and complex terms, rearrangement of series, Uniform convergence, continuity, differentiability and integrability for

sequences and series of functions. Differentiation of functions of several variables, change in the order of partial

derivatives, implicit function theorem, maxima and minima, Multiple integrals.

ComplexAnalysis:Analytic function Cauchy-Riemann equations, Cauchy’s theorem, Cauchy’s integral formula, power series, Taylor’s

series, Laurent’s Series, Singularities, Cauchy’s residue theorem, contour integration, Conformal mapping, bilinear

transformations.

Linear Programming:Linear programming problems, basic solution, basic feasible solution and optimal solution, graphical method and Simplex

method of solutions, Duality. Transportation and assignment problems, Travelling salesman problems.

Section-B

Partial differential equations:Curves and surfaces in three dimensions, formulation of partial differentiation equations, solutions of equations of typedx/p=dy/q=dz/r; orthogonal trajectories, Pfaffian differential equations; partial differential equation of the first order,solution by Cauchy’s method of characteristics; Charpit’s method of solutions, linear partial differential equations of the second order with constant coefficients, equations of vibrating string, heat equation, Laplace equation.

Numerical analysis and Computer programming:Numerical methods: solution of algebraic and transcendental equations of one variable by bisection, Regula-Falsi andNewton-Raphson methods, solution of system of linear equations by Gaussian elimination and Gauss-Jordan (direct)methods, Gauss-Seidel (iterative) method. Newton’s (Forward and backward) and Lagrange’s method of interpolation.

Numerical integration:Simpson’s onethird rule, tranpezodial rule, Gaussian quardrature formula.

Numerical solution of ordinary differential equations:Euler and Runge Kuttamethods. Computer Programming: Storage of numbers in computers, bits, bytes and words, binarysystem, arithmetic and logical operations on numbers, Bitwise operations. AND, OR, SOR, NOT, and shift/rotateoperators, Octal and Hexadecimal Systems. Conversion to and form decimal Systems. Representation of unsignedintegers, signed integers and reals, double precision reals and long integrers.

Algorithms and flow charts for solving numerical analysis problems. Developing simple programs in Basic for problems involving techniques covered in the numerical analysis.

Mechanics and Fluid Dynamics:Generalised coordinates, constraints, holonomic and non-holonomic, systems, D’ Alembert’s principle and Lagrange’sequations, Hamilton equations, moment of inertia, motion of rigid bodies in two dimensions. Equation of continuity, Euler’sequation of motion for inviscid flow, stream-lines, path of a particle, potential flow,two-dimensional and axisymetric motion,sources and sinks, vortex motion, flow past a cylinder and a sphere, method of images. Navier- Stokes equation for aviscous fluid.


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S.No. Name of the Topic Topic to be Topic to be Class timings No. of Remarks started ended Lectures

1. ODE (Ordinary Differential 7AM / 5PM

2. PDE (Partial Differential Equations) -Do- -

3. LPP (Linear Programming Problem) -Do- -

4. Calculus & Real Analysis -Do- -

5. Complex Analysis -Do- -

6. Vector Analysis -Do- -

7. Numerical Analysis & CP -Do- -

8. 3-Dimensional Geometry -Do- -

9. Modern Algebra -Do- -

10. Linear Algebra -Do- -

11. Dynamics & Statics -Do- -

12. Mechanics & Fluid Dynamics -Do- -

Equations)

Schedule for IAS/IFoS Classroom Programme: 2014-15

IAS/IFoS OPTIONAL MATHEMATICSby K. Venkanna (14 yrs teach. exp.)

REGULAR CLASSROOM Time Table for Mukherjee Nagar & Rajinder Nagar Centre

Timings: (Mukherjee Nagar: 7:00am to 10:00am) & (Old Rajinder Nagar: 5:00pm to 8:00pm)

WEEKEND CLASSROOM Time Table for Mukherjee Nagar & Rajinder Nagar Centre

Timings: (Mukherjee Nagar: 7:00am to 12:00noon) & (Old Rajinder Nagar: 3:00pm to 8:00pm)

NOTE:Regular Classes from Monday to Friday at Both the centresWeekend classes: Saturday & SundayRegular class students must attend the weekend classes to complete the syllabus quickly

&

S.No. Name of the Topic Topic to be Topic to be Class timings No. of Remarks started ended Lectures

1. 7AM / 3PM

2. 3-Dimensional Geometry -Do- -

3. Numerical Analysis & CP -Do- -

4. Linear Algebra -Do- -

5. Vector Analysis -Do- -

6. ODE (Ordinary Differential Equations) -Do- -

7. PDE (Partial Differential Equations) -Do- -

8. Calculus & Real Analysis -Do- -

9. Complex Analysis -Do- -

10. LPP (Linear Programming Problem) -Do- -

11. Dynamics & Statics -Do- -

12. Mechanics & Fluid Dynamics -Do- -

Modern Algebra

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Schedule for IAS/IFoS Mathematics TEST SERIES PROGRAMME-2014

Under the guidance of (14 yrs teach. exp.)K. Venkanna

NOTE: (1) (2) The Above Test Series Programmes will be conducted at Mukherjee Nagar & Old Rajinder Nagar Centres.

Every Year IAS/IFoS Mathematics(Opt.) Main Test Series will be conducted from Middle of June.

IAS Exam Max. Marks: 250 IFoS Exam Max. Marks: 200Time Duration: 3Hrs.

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S. No. Test No. DATE TOPICS TO BE COVERED5. Test-5 31-Aug-2014 Full Syllabus (Paper-I)6. Test-6 07-Sep-2014 Full Syllabus (Paper-II)7. Test-7 14-Sep-2014 Full Syllabus (Paper-I)8. Test-8 21-Sep-2014 Full Syllabus (Paper-II)9. Test-9 05-Oct-2014 Full Syllabus (Paper-I & Paper-II)10. Test-10 12-Oct-2014 Full Syllabus (Paper-I)11. Test-11 19-Oct-2014 Full Syllabus (Paper-II)12. Test-12 26-Oct-2014 Full Syllabus (Paper-I)13. Test-13 02-Nov-2014 Full Syllabus (Paper-II)14. Test-14 16-Nov-2014 Full Syllabus (Paper-I & Paper-II)15. Test-15 30-Nov-2014 Full Syllabus (Paper-I & Paper-II)

S. No. Test No. DATE TOPICS TO BE COVERED1. Test-1 14-June-2014 Linear Algebra, Calculus and Three Dimensional Geometry2. Test-2 21-June-2014 Algebra, Real Analysis and Complex Analysis & LPP (Linear Programming Problem)3. Test-3 28-June-2014 ODE (Ordinary Differential Equations), Dynamics & Statics and Vector Analysis.4. Test-4 05-July-2014 PDE (Partial Differential Equations), Numerical Analysis & Computer

Programming and Mechanics & Fluid Dynamics

Batch-1 (LEVEL-I) Begins from 14 June’14

Begins from 31 August’14

S. No. Test No. DATE TOPICS TO BE COVERED1. Test-1 31-Aug-2014 Linear Algebra, Calculus and Three Dimensional Geometry2. Test-2 07-Sep-2014 Algebra, Real Analysis and Complex Analysis & LPP (Linear Programming Problem)3. Test-3 14-Sep-2014 ODE (Ordinary Differential Equations), Dynamics & Statics and Vector Analysis.4. Test-4 21-Sep-2014 PDE (Partial Differential Equations), Numerical Analysis & Computer

Programming and Mechanics & Fluid Dynamics5. Test-5 28-Sep-2014 Full Syllabus (Paper-I)6. Test-6 05-Oct-2014 Full Syllabus (Paper-II)7. Test-7 12-Oct-2014 Full Syllabus (Paper-I)8. Test-8 19-Oct-2014 Full Syllabus (Paper-II)9. Test-9 26-Oct-2014 Full Syllabus (Paper-I & Paper-II)10. Test-10 02-Nov-2014 Full Syllabus (Paper-I)11. Test-11 09-Nov-2014 Full Syllabus (Paper-II)12. Test-12 16-Nov-2014 Full Syllabus (Paper-I)13. Test-13 23-Nov-2014 Full Syllabus (Paper-II)14. Test-14 30-Nov-2014 Full Syllabus (Paper-I & Paper-II)

15. Test-15 07-Dec-2014 Full Syllabus (Paper-I & Paper-II)

TEST TIMINGS: (Old Rajinder Nagar: 11:00am to 2:00pm) & (Mukherjee Nagar: 1:00pm to 4:00pm)

Begins from 31 August’14

Batch-2 (LEVEL-II)

Batch-3 (LEVEL-I + LEVEL-II)


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Preparation StrategyIAS/IFoSMATHEMATICS(Opt.)

The Civil Services Examination, the creme de la creme of all examinations, is also known as the toughest and the

longest examination of India. Therefore, I consider it quite important to share my view points of the bright future of the

aspiring candidates.

Though the CSE is a hard nut to crack but one could sail through this 'hurdle race' via strategic planning, consistent

efforts, diligence, a patient and calm approach and most importantly with the belief in one's own potential.

The right selection of the optional is the pre requisite of a good rank in CSE. One must choose the optional keeping the

following points in mind:

1. Asubject of your interest.

2. Scoring pattern of that subject in past few years.

3. The availability of study material and

4. Expert guidance.

Ideally, the students should choose their subject of graduation or post graduation as their optional but then one must

check their subject for its viability in the civil services examination keeping in consideration the aforementioned 4 points

namely Criterion of interest, scoring pattern, availability of study material and expert guidance

As per the above mentioned criteria of choosing optional, Mathematics is one of the safest and most scoring optional in

the Civil Services Examination. This is the only subject which allows the students a scope to score as high as 400+

marks in a new pattern of examination with one optional subject. The popular trends show that out of every 20 students,

at least one student has Mathematics as one of his or her optional subject. Data shows that before the year 2000, The

maximum number of students in the Civil services examination were the students who had taken Mathematics as their

optional. However, with the change in the CSE pattern, students have started facing difficulty with mathematics as an

optional due to the lack of availability of quality guidance and the confusion created by the labyrinth of false

propagandist and mercantile, inefficient and inexperienced teachers.

However since the last few years, the popularity of the subject has increased as expert guidance keeping in view the

need of the CSE is available now.

WHO CAN OPT IT ?The students who have studied B.Sc Mathematics/ B. Tech. can take Mathematics as the optional in this examination.

In fact, Mathematics is one such optional which gives you the advantage of a much higher score than what one could

manage with other humanities subjects and thus, the chances of getting the best ranks are much better. However,

there is a certain phobia about choosing Mathematics as an optional amongst the students. Let us examine this

problem through an observational analysis of the situation.

We can broadly categorize the science students, especially the ones from the Mathematics background who are

aspiring for the CSE, into two categories. The first category is of those students who opt for Mathematics as an optional

in this prestigious examination. The second category is obviously those students. who do not opt for it. Talking about

the former category, it is a group of self motivated, diligent students who already have a penchant for this subject. This

category usually consists of those students who seem to eat, sleep and drink Mathematics. They are highly passionate

about this subject and extremely devoted to it. However, It is the latter category of students who encourage me to delve

into their mind set and explore the reasons for their decision. What I have discovered about the same is a disappointing

fact of these students being beguiled and demotivated by the ''opinion givers of the society. Even the illogical CSE


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theories created by the mercantile propagandists affects the psychology of these students by enticing them to select

inconsequential and irrelevant optionals. Either they are discouraged enough to take the plunge with a safe subject

which ultimately results in their sad failure despite rigorous hard work, or else they achieve the results only after

investing insurmountable energies and irreversible time on a wrong decision.

I have a message for these students – 'Unleash your potential'; Go for something that channels your expertise in its

best direction rather than going for something that has not been your area of excellence and interest. Choose the

'stepping stone' not the 'stumbling block'. Overcome your irrational fears and anxieties and make a prudent decision.

Mathematics is the most advantageous and the highest scoring optional. You have been solving Mathematics

questions since elementary school. Think about it;After spending more than 15 years in the field of Mathematics, if you

are being manipulated to change your path for an irrelevant option with just 6 months or one year of preparation, you are

actually leaving your area of proficiency and are indirectly trying to take up the challenge of competing with the masters

of their respective fields.

As IAS and IFoS are joined together, so there is an opportunity for the Mathematics optional students to write the IFoS

exams along with the IAS exams simultaneously.

ROLE OF COACHINGThe role of the coaching institute can never be underestimated in the preparation of CSE/IFoS. Expert guidance is a

very crucial aspect for these preparations. The mentor facilitates the process of preparation and enables the student to

savor the success in a strategized manner. One can score 80%+ in Mathematics with the help of professionally well

equipped and qualitatively upgraded teaching inputs based on most meticulously and scientifically designed

comprehensive guidance programme which allows conceptual clarification of all topics. Moreover, coaching institutes

may prepare a system of rigorous written tests and feedback mechanisms. This is mandatory to ensure the updating of

the student's conceptual and analytical knowledge reservoir as per the requirements of the latest emerging trends of

the civil services examination.

An academy with its experience and professional efficiency can prove to be a catalyst to ensure absolute proficiency

and perfection in the Subject.


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