Home
Looking for Previous Year IAS Papers? Download now free!
You will be auto-sent a link to download the IAS Past Papers & Model Papers when you join the IAS Free Training Group

Home | Downloads | Careers | Books |IAS Online TutorialsIAS online Tutorials | Advertise Advertise| Contact Us | About Us | ForumForum| Link to usLink to us
Login Saturday, April 19, 2014

IAS Resources
About IAS
IAS Preparation
IAS Careers
IAS Syllabus
IAS Online Tutorials
IAS Free Online Exam
Indian Forest Service
Indian Engineering Service
Indian Foreign Service
Indian Police Service
Record and Opinion
Books and Links
Free Downloads
Miscellaneous


Home » Civil Services Examination Strategy » Civil Services Strategy For Mathematics

Civil Services Examination Strategy For Mathematics

A D V E R T I S E M E N T
>

The beauty of mathematics as a subject in the main examination is that you can be very selective, yet completely safe. Your efforts should be aimed at developing quality of approach rather than a broad coverage of the course. The following sections are especially important for the aspirants taking IAS Main 2005 with mathematics as an optional subject. The candidates must practise a lot on the indicated sections and they should take care to give derivation in all the cases if the result is a subsidiary one. In case of standard results, there is no need to give derivation of an equation, until specifically asked to.

(more content follows the advertisement below)
A D V E R T I S E M E N T

Paper I
Section A

Linear Algebra: Vector, space, linear dependance and independance, subspaces, bases, dimensions. Finite dimensional vector spaces. Eigenvalues and eigenvectors, eqivalence, congruences and similarity, reduction to canonical form, rank, orthogonal, symmetrical, skew symmetrical, unitary, hermitian, skew-hermitian formstheir eigenvalues.

Calculus: 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 and centre of gravity.

Analytic Geometry: Sphere, cone, cylinder, paraboloid, ellipsoid, hyperboloid of one and two sheets and their properties.

Section B

Ordinary Differential Equations: 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: You can skip this entire section, if you have prepared other sections well.

Vector Analysis: Triple products, 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.

Paper II
Section A

Algebra: Normal subgroups, homomorphism of groups quotient groups basic isomorophism theorems, Sylow's group, principal ideal domains, unique factorisation domains and Euclidean domains. Field extensions, finite fields.

Real Analysis: 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.

Complex Analysis: You can skip this entire section, if you have prepared other sections well.

Linear Programming: Basic solution, basic feasible solution and optimal solution, Simplex method of solutions. Duality. Transportation and assignment problems. Travelling salesman problems.

Section B

Partial differential equations: Solutions of equations of type dx/p=dy/q=dz/r; orthogonal trajectories, pfaffian differential equations; partial differential equations of the first order, solution by Cauchy's method of characteristics; Char-pit'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, Regula-Falsi and Newton-Raphson methods Numerical integration: Simpson's one-third rule, tranpesodial rule, Gaussian quardrature formula. Numerical solution of ordinary differential equations: Euler and Runge Kutta-methods.

Computer Programming: Binary system. Arithmetic and logical operations on numbers. Bitwise operations. Octal and Hexadecimal Systems. Convers-ion to and from decimal Systems.

Mechanics and Fluid Dynamics: D'Alembert's principle and Lagrange' equations, Hamilton equations, moment of intertia, motion of rigid bodies in two dimensions.




Discussion Center

Discuss

Query

Feedback/ Suggestion

Yahoo Groups

Sirfdosti Groups

Contact Us




Members Login Here!
EmailId:
Password:


Forgot Password?
New User? Register!
Toppers View



INTERVIEW EBOOK
Get 9,000+ Interview Questions & Answers in an eBook. Interview Question & Answer Guide
  • 9,000+ Interview Questions
  • All Questions Answered
  • 5 FREE Bonuses
  • Free Upgrades

IAS PREPARATION EBOOKS

IAS Exam, IAS 2014, IAS 2015 Training, IAS 2013 Papers and Solutions, IAS Preparation & Related Pages


IAS Forum | Civil Services | IAS Overview | How to Prepare for IAS | IAS Eligibility Criteria | IAS Exam Pattern | IAS Exam Syllabus | IAS Application Form Centers | Sections Under IAS Examinations | Postings of an IAS Officer | Method of Making Notes | Style of Answering Questions | Time Management | IAS Regulations | Cut off Marks in IAS | Training Institutes for IAS | IAS Tips | Time Table for IAS 2014 Exam | Calendar for IAS 2014 Exam | Top Scorers in IAS Exam | Post Offices for IAS Exam Form | Sample IAS Exam Paper | IAS Current Affairs | Career in IAS | Jobs Offered in IAS | Nature of Work | Interview Tips for IAS | Interview Techniques for IAS | IAS Syllabus | IAS Preparation Strategy | IAS Model Notification | Daily / Periodicals for IAS | Art and Craft | IAS Tutorials | IAS Tutorials for Agriculture | IAS Tutorials for Animal Husbandry & Veterinary Science | IAS Tutorials for Botany | IAS Tutorials for Chemistry | IAS Tutorials for Economics | IAS Tutorials for Essay | IAS Tutorials for Geography | IAS Tutorials for Geology | IAS Tutorials for Indian History | IAS Tutorials for Physics | IAS Tutorials for Psychology | IAS Tutorials for Sociology | IAS Tutorials for Zoology | Previous Years Test Papers for IAS | IAS Mock Exam | Current Affairs for IAS | IFS - Indian Forest Services | IFS - Indian Forest Services Examination Plan | IFS - Indian Forest Services General Instructions | IFS - Indian Forest Services - List of Head Post Offices | IFS - Indian Forest Services Special Instructions | IES - Indian Engineering Service | IES - Indian Engineering Service Model Notification | IES - Indian Engineering Service General Instructions | IES - Indian Engineering Service Examination Plan | IFS - Indian Foreign Service | IFS - Indian Foreign Service - Selection & Training | Career in IFS - Indian Foreign Service | IPS - Indian Police Service - Modern Ranks and Rank Badges | IPS - Indian Police Service in History | IPS - Indian Police Service - External Resources | Reward of Brilliance | Deputation | Civil Lines | IAS Toppers Opinion | Renumeration in IAS | AKHAND PRATAP SINGH - IAS Topper | Anay Dwivedi - IAS Topper | Anupama - IAS Topper | D DIVYA - IAS Topper | Divyadharshini - IAS Topper | Divyadharshini Shanmugam - IAS Topper | Dr Sumit Seth - IAS Topper | GAGAN - IAS Topper | Garima Mittal - IAS Topper | GARIMA MITTAL - IAS Topper | Iqbal Dhalibal - IAS Topper | Iva Sahay - IAS Topper | JAI PRAKASH MAURYA - IAS Topper | Karthik Adapa - IAS Topper | Mangesh Kumar - IAS Topper | Manish Ranjan - IAS Topper | Muthyala Raju Revu - IAS Topper | Nila Mohan - IAS Topper | Pankaj Dwivedi - IAS Topper | PC Vinoj Kumar - IAS Topper | Prasad Praladh Akkanouru - IAS Topper | Prince Dhawan - IAS Topper | R V Varun Kumar - IAS Topper | RAVI DHAWAN - IAS Topper | Roopa Mishra - IAS Topper | Rukmani Riar - IAS Topper | SASWATI DEY - IAS Topper | Saswati Dey - IAS Topper | Shah faesal - IAS Topper | Shena Agrawal - IAS Topper | Sorabh Babu Maheshwari - IAS Topper | Sweta Mohanty - IAS Topper | TANVI SUNDRIYAL - IAS Topper | Vijayalakshmi Bidari - IAS Topper | IAS Books | SSC Exam Pattern | CDSC Exam Pattern | NDA Exam Pattern | GA - General Awareness Exam Pattern | PG - Post Graduate Exam Pattern |
Copyright © 2014. One Stop IAS.com. All rights reserved Privacy Policies | Terms and Conditions | About Us
Our Portals : Free eBooks | Interview Questions | IndiaJobForum | Free Classifieds | Vyoms | One Stop FAQs | One Stop GATE | One Stop GRE | One Stop IAS | One Stop MBA | Free SAP Training | One Stop Testing | Web Hosting | Sirf Dosti | Your Project Code | Cook Book Global | Tests World | Clean Jokes | Vyom | Vyom eBooks | Vyom Links | Vyom World | Shayari | C Interview Questions | C++ Interview Questions | Send Free SMS | Placement Papers | SMS Jokes | CAT 2014 Notification