1 / 4

M.SC Statistics Coaching Entrance Delhi University Syllabus

Looking for M.A Entrance Mathematics or M.Sc Statistics Coaching? Alpha Plus is a leading Institute offering M.A Entrance Mathematics & M.Sc Statistics Coaching with over 25 years of coaching experience. https://www.alphaplusdelhi.com/du-msc-syllabus/ offers The Mathematical Statistics (MS) test paper of IIT JAM Entrance Examination contains questions from both Maths and Statistics subjects. Our bright students have made us proud by securing 1st ranks in Delhi University exams in colleges like SRCC, Hansraj, Miranda House, Stephans, Venketeshwara, Gargi, Jesus & Mary, Kirorimal, Kamla Nehru, Indraprastha, Ramjas, Lady Shriram etc. Mr Manish has personally ensured every element of excellence in the faculty and management system.

Download Presentation

M.SC Statistics Coaching Entrance Delhi University Syllabus

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript


  1. M.SC Statistics Coaching Entrance Delhi University Syllabus Mathematics: Algebra: Linear Algebra. Vector space, subspace and its properties, linear independence and dependence of vector, matrices, rank of matrix, discount to ordinary forms, linear homogeneous and non- homogeneous equations, Cayley-Hamilton theorem, function roots and vectors. M.SC Statistics Coaching.

  2. Theory of equation. De Moivere’s theorem, relation among roots and coefficient of nth diploma equation, technique to cubic and biquadratic equation, transformation of equation. Calculus: Diff. Calculus. Limit and continuity, differentiability of functions, successive differentiation, leibnitz’s theorem, partial differentiation, Euler’s theorem on homogeneous functions, tangents and normals, asymoptotes, singular points, curve tracing. M.SC Statistics Coaching. Integral calculus. Reduction formulae, integration and residences of exact integrals, quadrature, rectification of curves, volumes and surfaces of solids of revolution. Differential Equation: Linear, homogeneous equation, first order better diploma equations, algebraic residences of solutions, linear homogeneous equation with consistent coefficients, solution of 2nd order differential equation, linear non-homogeneous differential equations. Real Analysis: Neighbourhood, open and sets, limit point and Bolzano weirstrass theorem, continuous functions, sequences and their properties, restrict superior and limit inferior of a sequence, endless collection and their convergence, Rolle’s theorem, mean fee theorem, Taylor’s theorem, Taylor’s series, Maclaurin’s series, maxima and minima, indeterminate forms. Statistics: Measures of principal tendency and dispersion and their homes, skewness and kurtosis, introduction to probability, theorem of total and compound probability, Bayes theorem, random variables, probability DU M.A./M.Sc Mathematics Entrance Syllabus Elementary set theory, Finite, countable and uncountable sets, Real number gadget as a complete ordered field, Archimedean property, supremum, infimum.

  3. Sequence and series, Covergencelimsup, liminf. Bolzano Weierstrass theorem, Heine Borel theorem. Continuity, Uniform continuity, Intermediate cost theorem, Differentiability, Mean value theorem, Maclaurin’s theorem and series, Taylor’s collection. Sequences and collection of functions, Uniform convergence. Riemann sums and Riemann integral, Improper integrals. Monotonic functions, Types of discontinuity. Functions of numerous variables,Directional derivative, Partial derivative. Metric spaces, Completeness, Total boundedness, Separability, Compactness, Connectedness. Eigenvalues and eigenvectors of matrices, Cayley-Hamilton theorem. Divisibility in Z, congruences, Chinese remainder theorem, Euler’s φ- function. Groups, Subgroups, Normal subgroups, Quotient groups, Homomorphisms, Cyclic groups, Cayley’s theorem, Class equations, Sylow theorems. Rings,fields, Ideals, Prime and Maximal ideals, Quotient jewelry, Unique factorization domain, Principal perfect domain, Euclidean domain, Polynomial earrings and irreducibility criteria.

  4. Vector spaces, Subspaces, Linear dependence, Basis, Dimension, Algebra of linear transformations, Matrix representation of linear transformations, Change of basis, Inner product spaces, Orthonormal basis. M.A Entrance Mathematics Coaching.

More Related