| 26th February 2018 10:27 AM | |
| shikha | Re: BITS Pilani HD Syllabus I am providing you the syllabus of Mathematics of BITS Pilani Higher Degree HD Admission Test Exam BITS Pilani Higher Degree HD Admission Test Exam Mathematics syllabus Core Mathematics Calculus -(i) Functions and graphs; limit and continuity; (ii) Applications of Derivatives (iii) Applications of Definite Integrals, (iv) Convergence of Infinite sequences and series, Maclaurin and Taylor series. (v)Functions of several variables (vi) Limits and Continuity in Higher Dimensions (vii) Partial derivatives (viii) The chain rule (ix) Directional Derivatives and Gradient vectors (x) Tangent planes and Normal lines (xi) Extreme values and saddle points (xii) Double Integrals, Triple Integrals, Line and surface Integrals, (xiii)Conservative fields, Curl and divergence (xiv)Theorems of Green, Gauss and Stokes. Linear Algebra (i)Matrix Algebra (ii) Row reduction method (iii) Rank and inverse of a matrix (iv) System of linear equations, Vector space; basis and dimension; linear transformation; range and kernel of a linear transformation (v) Eigenvalues and eigenvectors. Complex Variables (i)Analytic functions, Cauchys theorems (ii) Cauchys integral formula, Taylor Series and Laurent Series (iii) Calculus of residues and applications. Probability and Statistics (i)Sample space and events, Conditional probability and independence (ii) Random variables and probability distribution (iii) Independent random variables (iv) Mathematical expectation; mean and variance (v) Geometric, Binomial, Poissons, Exponential, Gamma and Normal distributions; sum of independent random variables; law of large numbers; (vi) Central limit theorem, Marginal and conditional distributions (vii) Sampling distribution, Point estimation, Statistical intervals based on a Single sample, (viii) Tests of hypotheses based on a single sample, test for mean using normal and Students t-distribution (ix) Correlation and linear regression. Differential Equations (i)First order differential equations (linear and nonlinear), higher order linear differential equations with constant coefficient, method of variation of parameters (ii) Cauchy-Eulers equation, Fourier Series, Laplace Transform, Initial and boundary value problems, Partial differential equations, (iii) Method of separation of variables. Numerical Methods (i)Solution of nonlinear algebraic equations: Newtons method, Secant method, Fixed point iteration method, method of false position (ii) Solution of system of linear equations: Direct methods & Iterative methods, (iii)LU decomposition, Integration by Trapezoidal and Simpsons rule |
| 26th February 2018 10:26 AM | |
| Unregistered | Re: BITS Pilani HD Syllabus I want the syllabus of Mathematics of BITS Pilani Higher Degree HD Admission Test Exam so will you please provide me? |
| 8th July 2015 11:33 AM | |
| Unregistered | BITS Pilani HD Syllabus I want to do Higher Degree program MBA from the Birla Institute of Technology and Science, Pilani (BITS-Pilani) and want to download the syllabus of it to know about the course structure so can you please provide me this in the form of PDF file so that I can download this? |
