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M.Sc. Entrance Exam Chapterwise Study Notes

Subject : Mathematics

Entrance Exam Study Notes

CHAPTER 1. : ....content in updating, ......will upload very soonences and Series of Real Numbers

PRICE : 200/-

Chapter at a glance : ....content in updating, ......will upload very soonence of real numbers, convergence of ....content in updating, ......will upload very soonences, bounded and monotone ....content in updating, ......will upload very soonences, convergence criteria for ....content in updating, ......will upload very soonences of real numbers, Cauchy ....content in updating, ......will upload very soonences, sub....content in updating, ......will upload very soonences, 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.

CHAPTER 2. : Functions of One Real Variable

PRICE : 150/-

Chapter at a glance : Limit, continuity, intermediate value property, differentiation, Rolle’s Theorem, mean value theorem, L'Hospital rule, Taylor's theorem, maxima and minima.

CHAPTER 3. :Functions of Two or Three Real Variables

PRICE : 200/-

Chapter at a glance : Limit, continuity, partial derivatives, differentiability, maxima and minima.

CHAPTER 4. : Integral Calculus

PRICE : 150/-

Chapter at a glance : 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.

CHAPTER 5. : Differential Equations

PRICE : 200/-

Chapter at a glance : Ordinary differential equations of the first order of the form y'=f(x,y), Bernoulli’s equation, exact differential equations, integrating factor, orthogonal trajectories, homogeneous differential equations, variable separable equations, linear differential equations of second order with constant coefficients, Method of variation of parameters, Cauchy-Euler equation.

CHAPTER 6. : Vector Calculus

PRICE : 200/-

Chapter at a glance : Scalar and vector fields, gradient, divergence, curl, line integrals, surface integrals, Green, Stokes and Gauss theorems. 

CHAPTER 7. : Group Theory

PRICE : 250/-

Chapter at a glance :Groups, subgroups, Abelian groups, non-Abelian groups, cyclic groups, permutation groups, normal subgroups, Lagrange's Theorem for finite groups, group homomorphisms and basic concepts of quotient groups. 

CHAPTER 8. : Linear Algebra

PRICE : 300/-

Chapter at a glance : 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. 

CHAPTER 9. : Real Analysis

PRICE : 200/-

Chapter at a glance : Interior points, limit points, open sets, closed sets, bounded sets, connected sets, compact sets, completeness of R. Power series (of real variable), Taylor’s series, radius and interval of convergence, term-wise differentiation and integration of power series.

Previous Year Solved Papers

(JNU, BHU, DU, HCU, MDU, CUCET, IIT JAM)

COMBO PRICE (for all papers) : 1000/-

Practice Papers

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Formula Book

PRICE : 500/-

Subject : Physics

Chapterwise Study Notes

CHAPTER 1. : ....content in updating, ......will upload very soon

PRICE : 200/-

Chapter at a glance : ....content in updating, ......will upload very soon

Previous Year Solved Papers

COMBO PRICE (for all papers) : 1000/-

Practice Papers

PRICE : 500/-

Formula Book

PRICE : 500/-

Subject : Chemistry

Chapterwise Study Notes

CHAPTER 1. : ....content in updating, ......will upload very soon

PRICE : 200/-

Chapter at a glance : ....content in updating, ......will upload very soon

Previous Year Solved Papers

COMBO PRICE (for all papers) : 1000/-

Practice Papers

PRICE : 500/-

Formula Book

PRICE : 500/-

Subject : Botany

Chapterwise Study Notes

CHAPTER 1. : ....content in updating, ......will upload very soon

PRICE : 200/-

Chapter at a glance : ....content in updating, ......will upload very soon

Previous Year Solved Papers

COMBO PRICE (for all papers) : 1000/-

Practice Papers

PRICE : 500/-

Formula Book

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Subject : Zoology

Chapterwise Study Notes

CHAPTER 1. : ....content in updating, ......will upload very soon

PRICE : 200/-

Chapter at a glance : ....content in updating, ......will upload very soon

Previous Year Solved Papers

COMBO PRICE (for all papers) : 1000/-

Practice Papers

PRICE : 500/-

Formula Book

PRICE : 500/-

Subject : Bio-Technology

Chapterwise Study Notes

CHAPTER 1. : ....content in updating, ......will upload very soon

PRICE : 200/-

Chapter at a glance : ....content in updating, ......will upload very soon

Previous Year Solved Papers

COMBO PRICE (for all papers) : 1000/-

Practice Papers

PRICE : 500/-

Formula Book

PRICE : 500/-

Subject : Molecular Biology

Chapterwise Study Notes

CHAPTER 1. : ....content in updating, ......will upload very soon

PRICE : 200/-

Chapter at a glance : ....content in updating, ......will upload very soon

Previous Year Solved Papers

COMBO PRICE (for all papers) : 1000/-

Practice Papers

PRICE : 500/-

Formula Book

PRICE : 500/-

Subject : Genetics

Chapterwise Study Notes

CHAPTER 1. : ....content in updating, ......will upload very soon

PRICE : 200/-

Chapter at a glance : ....content in updating, ......will upload very soon

Previous Year Solved Papers

COMBO PRICE (for all papers) : 1000/-

Practice Papers

PRICE : 500/-

Formula Book

PRICE : 500/-

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