LIVE CLASSES + Recorded Videos + Study Materials + Practice Set MA CLASSES presence course of &quot;Sem-2, B. Sc. - Maths (VBU)&quot;.Salient Features ( What you will get in this Course)1. Dedicated LIVE Classes .2. Live class duration - 1 hour3. Live Class Schedule - 5 pm to 6 pm (Mon. to Fri.)4. In addition to LIVE Classes, you will get recorded video lectures ( Any video can watch at most three times).5. You will get study material of each class6. This course is available on the Mobile APP (Single Android Phone)7. Course validity is 8 Months from date of Joining8. MA CLASSES reserves the rights for any changes in LIVE Class schedule9. Fee is not refundable10. Fee- ₹1199 Topics which will be cover in this course : MJ-2 &amp; MJ-3(VBU)

SEM-2, B. Sc.-Maths (VBU)

MA Classes

Package Details : Video Lectures and Study Materials (in pdf)Video Language : English/Hindi Course Material Language : English Video Run On : Single Android Phone Faculty Name : Mr. Sunil Kumar Cancellation Policy: Non Cancellable Course Contents: Review of Algebraic and Order Properties of R, -neighborhood of a point in R, Idea of countable sets, uncountable sets and uncountability of R. Bounded above sets, Bounded below sets, Bounded Sets, Unbounded sets, Suprema and Infima, The Completeness Property of R, The Archimedean Property, Density of Rational (and Irrational) numbers in R, Intervals. Limit points of a set, Isolated points, Illustrations of Bolzano-Weierstrass theorem for sets. Sequences, Bounded sequence, Convergent sequence, Limit of a sequence. Limit Theorems, Monotone Sequences, Monotone Convergence Theorem. Subsequences, Divergence Criteria, Monotone Subsequence Theorem (statement only), Bolzano Weierstrass Theorem for Sequences.Cauchy sequence, Cauchy&rsquo;s Convergence Criterion. Infinite series, convergence and divergence of infinite series, Cauchy Criterion, Tests for convergence: Comparison test, Limit Comparison test, Ratio Test, Cauchy&rsquo;s nth root test, Raabe,s test, DeMorgan&rsquo;s and Bertrand&rsquo;s test, Alternating series, Leibniz test, Absolute and Conditional convergence, Kummer&rsquo;s test, logarithmic ratio test.

Real Analysis

Details : Video Language : Hindi
Course Material Language : English
Video Run On : Single Android Phone
Faculty Name : Mr. Sunil Kumar
Cancellation Policy: Non Cancellable
Topic Cover Metric Spaces: Definition and Examples. Open and Closed Balls, Neighborhood, Open Set, Closed Set, Interior of a Set, Exterior of a Set, Frontier and Boundary points of a Set, Limit Point of a Set, Diameter of a Set, Closure of a Set, Sub-spaces, Cantor&#39;s Theorem,Continuous Mappings, Sequential Criterion and other characterization of continuity, Uniform Continuity, Homeomorphism, Contraction Mappings, Banach fixed point theorem.

Metric Space

Three Dimensional Geometry [Class -12]Package Details : Video LecturesVideo Language : HindiCourse Material Language : EnglishVideo Run On : Single Android PhoneFaculty Name : Mr. Sunil KumarCancellation Policy: Non CancellableTopic Cover : Introduction of three dimensional geometry, Direction Cosines and Direction Ratios of straight lines, Straight Lines, PlaneBook follows : R. D. Sharma

Three Dimensional Geometry

Vector Calculus [B. Sc.(Mathematics)] Package Details : Video Lectures Video Language : Hindi Course Material Language : English Video Run On : Single Android Phone Faculty Name : Mr. Sunil Kumar Cancellation Policy: Non Cancellable Topic Cover : Line Integral, Surface Integral, Volume Integral, Green&#39;s Theorem, Stokes&#39; Theorem, Gauss&#39; Divergence Theorem

Vector Calculus (B. Sc.)

Package Details : Video Lectures Video Language : Hindi Course Material Language : English Video Run On : Single Android Phone Faculty Name : Mr. Sunil Kumar Cancellation Policy: Non Cancellable Topic Cover :Sample space, probability axioms, real random variables (discrete and continuous), cumulativedistribution function, probability mass/density functions, mathematical expectation, moments,moment generating function, characteristic function,Joint cumulative distribution function and its properties, joint probability density functions,marginal and conditional distributions, expectation of function of two random variables,conditional expectations, independent random variables,Chebyshev&rsquo;s inequality

Probability and Statistics

Package Details : Video Lectures Video Language : Hindi Course Material Language : English Video Run On : Single Android Phone Faculty Name : Mr. Sunil Kumar Cancellation Policy: Non Cancellable Topic Cover: Theory of simplex method, optimality and unboundedness, the simplex algorithm, simplex method in tableau format, introduction to artificial variables, two‐phase method, Big‐M method and their comparison. Game theory: formulation of two person zero sum games, solving two person zero sum games, games with mixed strategies, graphical solution procedure, linear programming solution of games.

Linear Programming

Package Details : Video Lectures Video Language : Hindi Course Material Language : English Video Run On : Single Android Phone Faculty Name : Mr. Sunil Kumar Cancellation Policy: Non Cancellable Topic Cover:First order exact differential equations. Integrating factors, rules to find an integrating factor. First order and higher degree equations solvable for x, y, p. Clairaut&rsquo;s form, singular solutions, general solution. Second order linear differential equation with constant coefficient. General solution of second order linear homogeneous and non-homogeneous equations, linear homogeneous and non-homogeneous equations of higher order with constant coefficients, The Cauchy-Euler equation. Second order linear differential equations with variable coefficients. (2 questions) UNIT III Power series solution of a differential equation about an ordinary point, solution about a regular Singular point, Bessel&rsquo;s equation and Legendre&rsquo;s equation, recurrence formulae, orthogonal properties, generating function. Laplace transform and inverse transform, properties, application to initial value problem up to second order ODE.

Differential Equation 10452

Package Details : Video Lectures Video Language : Hindi Course Material Language : English Video Run On : Single Android Phone Faculty Name : Mr. Sunil Kumar Cancellation Policy: Non Cancellable Topic Cover: Limits, Limits involving the point at infinity, continuity. Properties of complex numbers, regionsin the complex plane, functions of complex variable, mappings. Derivatives, differentiationformulas, Cauchy-Riemann equations, sufficient conditions for differentiability.Analytic functions, examples of analytic functions, exponential function, Logarithmic function,trigonometric function, derivatives of functions, bilinear transformation, cross ratio, conformalmapping.

Complex Analysis

You will get four videos every week in this coursePackage Details : Video Lectures Video Language : Hindi Course Material Language : English Video Run On : Single Android Phone Faculty Name : Mr. Sunil Kumar Cancellation Policy: Non Cancellable Topic Cover: General properties of polynomials, Graphical representation of a polynomial, maximum and minimum values of a polynomials, General properties of equations, Descarte&rsquo;s rule of signs. Positive and negative rule, Relation between the roots and the coefficients of equations.Symmetric functions, Applications of symmetric function of the roots, Transformation of equations. Solutions of reciprocal and binomial equations. Algebraic solutions of the cubic and biquadratic. Properties of the derived functions.Symmetric functions of the roots, Newton&rsquo;s theorem on the sums of powers of roots, homogeneous products, limits of the roots of equations.Separation of the roots of equations, Strums theorem, Applications of Strum&rsquo;s theorem, Conditions for reality of the roots of an equation and biquadratic. Numerical Solution of equations.