Acharya Nagarjuna University provides advanced high quality education in the field of post graduate studies in various specializations. The admittance of candidates to these courses will be on the basis of entrance exam conducted by the University.

Structure of Acharya Nagarjuna University M.Sc. Mathematics Entrance Exam

The Acharya Nagarjuna University M.Sc. Mathematics entrance exam will comprise of 100 objective type questions each having 4 alternative choices. There will be 3 sections; each section having questions from the 1st, 2nd and 3rd year of the under graduate program respectively. The candidates will be given 90 minutes to complete all the 3 sections.

Syllabus of Acharya Nagarjuna University M.Sc. Mathematics Entrance Exam

Paper – I (30 questions)

• Formation of Differential Equations
• Solution of I order equations
• Variables separable form
• Homogeneous equations
• Non homogeneous equations
• Linear equations
• Bernouli’s Theorem
• Clairaut’s form
• Linear differential equations of higher order with constant coefficients
• Orthogonal trajectories (Cartesian and Polar)
• Exact equations
• Normal form
• Variation parameters
• Simultaneous equations
• Vector Differentiation
• Differential operators
• Differential vector Geometry (Frenet – Serret Formulae)
• Coordinates in three Dimensions
• Distance and Section formulae
• Direction Cosines
• Direction ratios
• Projections
• Angle between two lines
• Equation of a plane
• Angle between planes
• Condition of Perpendicularity and parallelism
• Distance of a point from a plane
• Line equations
• Co planarity of a line
• Shortest distance between two lines
• Intersection of a line with a plane
• Distance of a point from a line
• Change of Axes (transformation & rotation)
• Spheres
• Plane Section of a Sphere
• Intersection of a line with a sphere
• Tangent planes
• Pole
• Polar planes
• Polar lines
• Conjugate points
• Conjugate planes
• Conjugate lines
• Orthogonal spheres
• Power of a point
• Radical Planes
• Radical Center
• Coaxial system of spheres
• Limiting points
• Real numbers
• Ordered field
• Upper and lower bounds
• Supremum and infimum
• Completeness axiom
• Dedikinds theorem
• Open and closed sets
• Limit point of a set
• Bolzano Weirstrass theorem
• Sequences
• Monotonic sequences
• Cuachy sequence
• General principal of convergence
• Infinite series
• Partial sums
• Series of non negative terms
• Tests of Convergence
• Comparison
• Condensation and Integral tests
• Alternative series
• Absolute and conditional convergence

Paper- II (30 questions)

• Limits
• Continuity
• Properties of Continuous functions of one variable
• Monotonic functions
• Uniform continuity
• Differentiation
• Mean value theorems
• Riemann Integral
• Properties of Integral functions
• Fundamental theorem
• First and Second Mean value theorems
• Charge of variable
• Legrange’s theorem
• Cyclic groups
• Quotient Groups
• Line, Surface and Volume Integrals
• Green’s theorem
• Gauss – Divergence theorem
• Stoke’s theorem

Paper-III (40 questions)

• Definition, properties and example of a ring
• Type of rings
• Integral domain
• Homomorphism of rings
• Properties
• Maximal ideal and prime ideal
• Quotient rings
• Euclidean Ring
• Polynomial rings
• Ring of Polynomials over a field
• Division algorithm
• Vector space
• Definition and examples of subspace & quotient spaces
• Linear dependence and independence
• Finite dimensional vector spaces
• Invariance of the number of vectors in a basis
• Linear transformations
• Kernal of a linear transformation
• Rank and nullity of a linear transformation
• Rank and nullity theorem
• Algebra of linear transformation
• Introduction of addition
• Scalar multiplication
• Multiplication of Linear transformation
• Inner product spaces
• Norm of a vector spaces
• Schwartz inequality
• Orthogonal vectors
• Orthonormal vectors
• Bessel inequality
• Parsevals equation
• Gram_Schmidt Orthogonalization process
• Matrix of a linear transformation relative to a basis
• Change of the representation of the matrix with the basis
• Similar matrices
• Eigen values
• Eigen vectors
• Cayley – Hamelton Theorem
• Inverse of matrix using Cayley Hamelton theorem
• Elementary transformation
• Matrices
• System of Homogeneous and Non-Homogeneous linear equation consistency conditions
• General solution
• Rank of a Matrix
• Real quadratic forms
• Reduction of quadratic form
• Sylversters law of Inertia definite, semi definite forms
• Necessary and sufficient conditions for definiteness
• General reduction of second degree equation

Eligibility Criteria

The candidates for the admission to the M.Sc program in Acharya Nagarjuna University should have completed their B.Sc or B.A course with Mathematics as one of the three subjects or as the main subject from a recognized University.

How to Apply?

The aspirants can obtain the application form from several centers by cash payment of Rs. 300/-. One can also obtain the application via post for which a request letter along with DD of Rs. 350/- in favor of Director, Directorate of Admissions, A.N.U has to be send to the concerned address. The completely filled application form along with acknowledgement card, 3 stamped envelopes and attested photocopies of certificates have to be send to the Director, Directorate of Admissions, Acharya Nagarjuna University, Nagarjunanagar – 522 510 before the last date.

How to fill the Form?

The applicants have to read all the instructions given in the Information Brochure and carefully fill the form accordingly. One has to fill the form neatly and legibly in ones own handwriting. All the columns have to be filled furnishing the correct information.

Important Dates (Tentative)

[Please note that we only provide tentative dates based on previous years dates. For exact dates related information it is always best to check official websites only.]

Commencement of sale of applications: Mid week of March, 2012

Last date for receipt of filled-in applications without Late Fee: Mid week of April, 2012

Last date for receipt of filled-in applications with a Late Fee of Rs.500/-: Third week of April, 2012

Schedule of PG Entrance Tests (Tentative): First week of May, 2012

List of Acharya Nagarjuna University M.Sc. Mathematics Entrance Exam Centres

• Guntur
• Vijayawada
• Ongol

Contact Address for Acharya Nagarjuna University M.Sc. Mathematics Entrance Exam

• Address: Prof. M.V.S. Koteswara Rao, Director, Directorate of Admissions, Acharya Nagarjuna University, Nagarjunanagar-522 510, Andhra Pradesh
• Telephone no: 0863-2346171/138, 2293263, 9440258811/22
• Website: www.anu.ac.in, www.nagarjunauniversity.ac.in

Colleges Accepting the Acharya Nagarjuna University M.Sc. Mathematics Entrance Exam Score

• A.L. College, Vijayawada
• A.N.R. College, Gudivada
• A.S.N. College, Tenali
• ANR & PL College, Gudivada
• Bapatla Engineering College, Bapatla
• C.R. College, Chilakaluripet
• Career Degree College, Guntur
• CSR Sarma College, Ongole
• GVR & S Institute of Professional Studies, Guntur
• Hindu College, Guntur
• J.K.C. College, Guntur
• J.M.J. College for Women, Tenali
• K.B.N. College, Vijayawada
• K.V.R. College, Nandigama
• KTR Women’s College, Gudivada
• M.M. Kalasala, Vijayawada
• Maris Stella College, Vijayawada
• Nalanda Degree College, Vijayawada
• NBT & NVC College, Narasaraopet
• Noble College, Machilipatnam
• NRK & KSR Gupta College, Tenali
• P.B. Siddhartha College of Arts & Science, Vijayawada
• S.C.S. Kalasala, Gudlavalleru
• S.S.N. College, Ongole
• Sarada College, Vijayawada
• SDMSM Kalasala, Vijayawada
• SRR & CVR Government College, Vijayawada
• SS & N College, Narasaraopet
• T.J.P.S. College, Guntur
• Vignan Degree College, Pedapalakaluru
• Vignan Degree College, Vissannapet
• Government Degree College, Avannigada
• VSR Government Degree College, Movva
• Nova P.G. College, Vijayawada
• S.K.B.R. Government Degree College, Macherla

Reference Books for Acharya Nagarjuna University M.Sc. Mathematics Entrance Exam

• Combinatorial Problems in Mathematical Competitions by Yao Zhang
• Competition Math for Middle School by J. Batterson
• Complex Analysis by Lars Ahlfors
• Mathematics by Raintree Steck
• Mathematics makes sense by William Dennis Lewis
• Operator Algebras Generated by Commuting Projections: A Vector Measure Approach by Werner Ricker
• Playing with infinity by Rozsa Peter
• Schaum’s Easy Outline of Discrete Mathematics by Seymour Lipschutz
• The Penguin dictionary of curious and interesting geometry by David Wells
• The principles of mathematics by Bertrand Russell
• The Principles of the Differential and Integral Calculus by Washington M Cartney
• Problem and Solutions From Around the World by Andreescu T, Feng Z
• Problem Solving Strategies by Arthur Engel
• Problems of Number Theory in Mathematical Competition by Yu Hong-bing
• High School Mathematics Contests by R. Todev
• Information Retrieval by C. J. van Rijsbergen
• Mathematical Circles: Russian Experience by Fomin
• Mathematical Excursion, Enhanced Edition by Richard N. Aufmann, J
• Revolutions of Geometry by Michael O’Leary
• Vector Calculus, Linear Algebra, and Differential Forms: a Unified Approach by John H Hubbard
• What is mathematics? By Richard Courant, Herbert
• Excursions into Mathematics by Anatole Beck, Michael N. B
• Concepts in Competitive Mathematics by Zachary M Boazman
• 104 Number Theory Problems by Andreescu T, Feng Z
• 2000 Solved Problems in Discrete Mathematics by Seymour Lipschutz
• BMA’s Handbook of Mathematics
• Concepts of Modern Mathematics by Ian Stewart
• Differential and Integral Calculus by John Irwin Hutchinson Virgil
• Differential Goemetry: An Integrated Approach by Prakash
• Discrete Mathematics by Norman Biggs
• Functional Equations by B.J. Venkatachala
• A History of Vector Analysis by Michael J. Crowe
• Elementary Number Theory by David Burton
• Excursions in geometry by Charles Stanley Ogilvy
• Excursions in number theory by Charles Stanley Ogilvy, John
• A Textbook of B. Sc. Mathematics by Ranganath
• An Excursion in Mathematics by M. R. Modak, S.A. Katre and V.V. Acharya
• An introduction to the theory of numbers by G. H. Hardy & Wright
• An Introduction to the Theory of Numbers by I. Niven & H. S. Zuckerman
• Twenty Problem Solving Skills by Jane Chen
• Vector Analysis by Edwin Bidwell Wilson
• Mathematics under the Microscope by Alexandre V. Borovik
• Excursions into mathematics by Anatole Beck and Michael N. B
• 103 Trigonometry Problems by Andreescu T, Feng Z
• Modern Algebra by B. L. Van Der Waerden
• Modern Geometry by Durrel M.A
• Nordic Mathematical Contest by R. Todev
• Numerical Integration of Differential Equations by A G Shanker
• Calculus, Vol. 1 by Tom M. Apostol

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Study Plan

The aspirants have to prepare well for the Mathematics entrance exam to get into the M.Sc program in Acharya Nagarjuna University. One should have a good knowledge in the subjects pursued in the B.Sc Mathematics program. The candidates are advised to set up a proper timetable and follow it systematically. One can spend more time for the tough topics and should cover all the topics in the syllabus before 2 days of the test. Last 2 days have to be fully utilized for revising all the topics.

How and Where To Get the Results?

The result of the Acharya Nagarjuna University M.Sc. Mathematics Entrance Exam can be obtained from the official website of the University.

Score Validity

The validity of Acharya Nagarjuna University M.Sc. Mathematics Entrance Exam will be for 1 year.