GATE Mathematics

Career Avenues GATE Courses for Mathematics (MA branch)


Career Avenues conducts Classroom Program for General Aptitude portion only at all our offices. Please contact the office closest to you for fees and batch details.

Career Avenues Classes are designed to ensure an optimum mix of theoretical learning and problem solving. We aim to overall spend atleast 50% of the class time in question solving, and cover atleast 5 years of past GATE questions in class.

Our faculties are all from IIT or IISc with a top GATE score.

All India Telephone Number (Call/SMS/Whatsapp): 0-99304 06349


The postal course comprises theory booklets in the areas of general aptitude and all MA technical areas as per GATE syllabus + Past GATE questions+ Free Online Test Series (50 section tests and 5 Mock GATE tests)

Upgrade anytime to Combo course or Classroom course by paying difference in fees

Study material made by IITians and GATE toppers

Course Fee:
a) Printed Books : Rs. 10,000
b) Books (Soft copy on Pen Drive): Rs. 6000
c) Books (Soft copy online) : Rs. 5000

See sample material below.

Also see details of our most popular course : Postal course + VDO lecture combo course


Postal Course (with Test Series):

a) Printed Format: Rs. 10000            
b) Pen Drive (Soft copy): Rs. 6000           
c) Online (Soft copy): Rs. 5000

VDO Lectures Aptitude (without Test Series):

d) GATE Drive (No internet required): Rs. 2000          

e) Online (Requires internet): Rs. 1500

Combo (Postal + VDO with Test Series): Most Popular

a+d: Rs. 11500          a+e: Rs. 11000           

b+d: Rs. 7500            c+e: Rs. 6000 

Online Test Series: Rs. 3000

Discounts are on all courses (except test series) and are based on Past GATE performance

  • Below AIR 250: Rs. 2000
  • Below AIR 500: Rs. 1500
  • Below AIR 1000: Rs. 1000

To enroll, click here: Enroll

VDO Lecture Course (GATE Drive)

The VDO Lectures comprise all areas of general aptitude as per GATE syllabus.

GATE Drive is a secure pen drive and can work on any laptop or PC on any operating system. Internet not required.

Over 30 hours of VDO lectures by our classroom faculty

Free Online Test Series (50 section tests and 5 Mock GATE tests)

Upgrade anytime to Combo course or Classroom course by paying difference in fees

Course Fee: Rs. 2000 (for latest GATE validity)

GATE Drive Extended validity : Rs. 1000 per year

Combo Course (Postal + VDO Lectures)

Most popular GATE prep program in the country. Postal Course + VDO Lectures!!

Comprehensive preparation. Almost as good as a classroom.

Upgrade anytime to Classroom course by paying difference in fees

Course Fee (Printed Books and VDO Lectures on Pen Drive): Rs. 11500 (A discount of Rs. 500 from the individual prices of postal course and GATE Drive)

Course Fee (Printed Books and Online VDO Lectures: Rs. 11000 (A discount of Rs. 500 from the individual prices of postal course and Online VDOs)

Note: See more lower fees Combo course options under Course Fees box.

Test Series (Online)

50 section tests covering all areas of GATE including MA technical, Math and General aptitude, including past GATE questions.

5 full length GATE mock tests

All questions with detailed explanatory answers

Online Test platform just like GATE with Virtual Calculator and Automated Strength/Weakness Analysis.

Can be downloaded as an App on Smartphones too.

Rated best test platform in India.

Course Fee: Rs. 3000

Past GATE Results (MA Batch)

AIR 7: Saurabh
AIR 20: Dipender
AIR 29: Chiruvelu
AIR 44: Lakshmanan

Faculty Profile (MA Batch)

4 active MA faculty from IITs and IISc

IIT Mumbai – 2, IISc – 1, IIT Delhi – 1.

Faculty top GATE rank of AIR 5.

GATE Aptitude
GATE Aptitude of Mathematics


  • Harshal, XE

    Your Guidance through notes & tests was very much useful. Thanks Career Avenues team. Harshal, XE
  • Diksha, BT

    A very sincere thanks for all the help and support. It was very useful. Diksha, BT
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  • Aditya Raman (99.62 percentile)

    Thank you Career Avenues for the fantastic study material. It helped me do a structured preparation and enabled me to crack GATE.

  • Amit Talreja (99.89 percentile)

    Sir, I was able to achieve a top 20 AIR only with your help. Thanks you for solving my doubts so many times and guiding me on how to prepare.

  • Dola Banerjee (99.88 percentile)

    When I started, my Math concepts were very weak. As a student of Combo program, I really benefitted from the VDO lectures, especially in Mathematics and General Aptitude.

  • Ramesh Narayanan (99.94 percentile)

    The section tests and mocks helped me to prepare very well. I knew my weak areas and I worked on them. Thanks you Career Avenues.

  • Simran Mirchandani (99.33 percentile)

    Sir, your material for Textile really helped me. One request sir, please also provide video lectures for textile branch.

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  • Altaf Razzaq (99.71 percentile)

    I would like to thank the faculty of Career Avenues who have made useful material for students like us. Without his material, I was not knowing how to study for my GATE.
  • Rashmi Sabharwal (99.73 percentile)

    I was a student of the classroom program. I would like to thank all the faculty who were very good and motivating, especially Amit sir for his strategy classes.
  • Shilpa Roy (99.42 percentile)

    I got final admission into 2 IITs. Getting into IIT has been my dream since childhood. Thanks you to the faculty of Career Avenues for the help and counseling that you provided.
  • Savitha Agarwal (99.87 percentile)

    Sir, I was a test series student and my roommate was a postal student of Career Avenues course. Both of us made it into IIT. Thank you for helping me realize my potential.
  • Father of student Raghvendra N (99.23 percentile)

    First of all, I have to compliment your organization for providing assistance to our children. I purchased the course in October and in 3 months, my ward was able to prepare fully and cracked the GATE. Your material and test series really helped him. Thank you Career Avenues.
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Syllabus for Mathematics (MA)

Linear Algebra: Finite dimensional vector spaces; Linear transformations and their matrix representations, rank; systems of linear equations, eigen values and eigen vectors, minimal polynomial, Cayley-Hamilton Theroem, diagonalisation, Hermitian, Skew-Hermitian and unitary matrices; Finite dimensional inner product spaces, Gram-Schmidt orthonormalization process, self-adjoint operators.

Complex Analysis: Analytic functions, conformal mappings, bilinear transformations; complex integration: Cauchy’s integral theorem and formula; Liouville’s theorem, maximum modulus principle; Taylor and Laurent’s series; residue theorem and applications for evaluating real integrals.

Real Analysis: Sequences and series of functions, uniform convergence, power series, Fourier series, functions of several variables, maxima, minima; Riemann integration, multiple integrals, line, surface and volume integrals, theorems of Green, Stokes and Gauss; metric spaces, completeness, Weierstrass approximation theorem, compactness; Lebesgue measure, measurable functions; Lebesgue integral, Fatou’s lemma, dominated convergence theorem.

Ordinary Differential Equations: First order ordinary differential equations, existence and uniqueness theorems, systems of linear first order ordinary differential equations, linear ordinary differential equations of higher order with constant coefficients; linear second order ordinary differential equations with variable coefficients; method of Laplace transforms for solving ordinary differential equations, series solutions; Legendre and Bessel functions and their orthogonality.

Algebra:Normal subgroups and homomorphism theorems, automorphisms; Group actions, Sylow’s theorems and their applications; Euclidean domains, Principle ideal domains and unique factorization domains. Prime ideals and maximal ideals in commutative rings; Fields, finite fields.

Functional Analysis:Banach spaces, Hahn-Banach extension theorem, open mapping and closed graph theorems, principle of uniform boundedness; Hilbert spaces, orthonormal bases, Riesz representation theorem, bounded linear operators.

Numerical Analysis: Numerical solution of algebraic and transcendental equations: bisection, secant method, Newton-Raphson method, fixed point iteration; interpolation: error of polynomial interpolation, Lagrange, Newton interpolations; numerical differentiation; numerical integration: Trapezoidal and Simpson rules, Gauss Legendrequadrature, method of undetermined parameters; least square polynomial approximation; numerical solution of systems of linear equations: direct methods (Gauss elimination, LU decomposition); iterative methods (Jacobi and Gauss-Seidel); matrix eigenvalue problems: power method, numerical solution of ordinary differential equations: initial value problems: Taylor series methods, Euler’s method, Runge-Kutta methods.

Partial Differential Equations: Linear and quasilinear first order partial differential equations, method of characteristics; second order linear equations in two variables and their classification; Cauchy, Dirichlet and Neumann problems; solutions of Laplace, wave and diffusion equations in two variables; Fourier series and Fourier transform and Laplace transform methods of solutions for the above equations.

Mechanics: Virtual work, Lagrange’s equations for holonomic systems, Hamiltonian equations.

Topology: Basic concepts of topology, product topology, connectedness, compactness, countability and separation axioms, Urysohn’s Lemma.

Probability and Statistics: Probability space, conditional probability, Bayes theorem, independence, Random variables, joint and conditional distributions, standard probability distributions and their properties, expectation, conditional expectation, moments; Weak and strong law of large numbers, central limit theorem; Sampling distributions, UMVU estimators, maximum likelihood estimators, Testing of hypotheses, standard parametric tests based on normal, X2 , t, F – distributions; Linear regression; Interval estimation.

Linear programming: Linear programming problem and its formulation, convex sets and their properties, graphical method, basic feasible solution, simplex method, big-M and two phase methods; infeasible and unbounded LPP’s, alternate optima; Dual problem and duality theorems, dual simplex method and its application in post optimality analysis; Balanced and unbalanced transportation problems, u -u method for solving transportation problems; Hungarian method for solving assignment problems.

Calculus of Variation and Integral Equations: Variation problems with fixed boundaries; sufficient conditions for extremum, linear integral equations of Fredholm and Volterra type, their iterative solutions.


Take a free 15 minutes / 30 minutes or a full-fledged Mock GATE. Get to know where you stand. Just click on the link below to access tests.

Free Mock Test



2014 paper2014 Answer Key

2013 Paper2013 Answer key

Number of GATE Takers

Some key statistics about GATE – MA

Number of Test Takers 2011 : 3793

Number of Test Takers 2012 : N.A.

Number of Test Takers 2013 : 4963

Number of Test Takers 2014 : 3840

GATE 2014: Qualifying marks

General: 25.00, Qualifying marks OBC: 22.50,

Qualifying marks SC/ST/PWD: 16.67