942 Views

Msc (math) entrance exam syllabus


Amit kumar srivastava 16th Apr, 2019
Answers (2)
Neha Tolia 16th Apr, 2019
Hello aspirant,
Here is the link for msc mathematics entrance syllabus..https://admission.examdevils.com/du-msc-entrance-syllabus-papers/.
Good luck.
priyaankasarkar Student Expert 16th Apr, 2019
Dear Amit, you haven't mentioned which entrance exam are you talking in particular. Neverthless, because the basic concepts for M.Sc entrance exam is evaluating you on your Mathematical skills at B.Sc level, here is a general syllabus as laid by the JNU for its M.Sc Mathematics Entrance Examination. However if you have any particular Entrance exam in mind, do let us know.

Set Theory and related topics: Elementary set theory, Finite, countable and uncountable sets, Equivalence relations and partitions  Real Numbers, Sequences and Series: Real number system as a complete ordered field, Archimedean property, supremum, infimum, Sequence of real numbers, convergence of sequences, bounded and monotone sequences, convergence criteria for sequences of real
numbers, Cauchy sequences, subsequences, Bolzano-Weierstrass theorem. Series of real numbers, absolute convergence, tests of convergence for series of positive terms - comparison test, ratio test, root test, Leibniz test for convergence of alternating series.

Real Analysis: Interior points, limit points, open sets, closed sets, bounded sets, connected sets, compact sets. Power series (of a real variable), Taylors series, radius and interval of convergence, term-wise differentiation and integration of power series

Functions of One Real Variable: Limit, continuity, intermediate value property, differentiation, Rolle's Theorem, mean value theorem, L'Hospital rule, Taylor's theorem, maxima and minima

Functions of Two and Three Real Variables: Limit, continuity, partial derivatives, differentiability, maxima and minima
Integral Calculus: Integration as the inverse process of differentiation, definite integrals and their properties, fundamental theorem of calculus. Double and triple integrals, change of order of integration, calculating surface areas and volumes using double integrals, calculating volumes using triple integrals

Vector Calculus: Scalar and vector fields, gradient, divergence, curl, line integrals, surface integrals, Green, Stokes and Gauss theorems

Group Theory: Groups, subgroups, Abelian groups, non-Abelian groups, cyclic groups, permutation groups, normal subgroups, Lagrange's Theorem for finite groups, group homomorphism and basic concepts of quotient groups, Cayleys theorem, class equations

Linear Algebra: Finite dimensional vector spaces, linear independence of vectors, basis, dimension, linear transformations, matrix representation, range space, null space, rank-nullity theorem. rank and inverse of a matrix, determinant, solutions of systems of linear equations, consistency conditions, eigenvalues and eigenvectors for matrices, Cayley-Hamilton theorem, Inner product spaces,
Orthonormal basis

Miscellaneous: Logical reasoning, elementary combinatorics, divisibility in Integers, Congruence, Chinese remainder theorem, Eulers e- function.
M.Sc. in Data Science

Pursue M.Sc. in Data Science from Manipal Online.

Enroll Now

Related Questions

Galgotias University | Admiss...
Apply
25+ years of legacy | NAAC A+ Grade | 800+ Recruiters | 1.5 CR-Highest Package
MAHE Online MBA
Apply
Apply for Online MBA from Manipal Academy of Higher Education (MAHE)
Amity University | M.Sc Admis...
Apply
Ranked as India’s #1 Not for profit pvt. University by India Today
NIELIT University(Govt. of In...
Apply
Campuses in Ropar, Agartala, Aizawl, Ajmer, Aurangabad, Calicut, Imphal, Itanagar, Kohima, Gorakhpur, Patna & Srinagar
GNA University M.sc Admission...
Apply
100% Placement Assistance | Avail Merit Scholarships
UPES M.Sc Admissions 2025
Apply
Ranked #46 Among Universities in India by NIRF | 1950+ Students Placed 91% Placement, 590+ Recruiters | Last Date to Apply: 30th July | Limited sea...
View All Application Forms

Download the Careers360 App on your Android phone

Regular exam updates, QnA, Predictors, College Applications & E-books now on your Mobile

150M+ Students
30,000+ Colleges
500+ Exams
1500+ E-books