**JIIT PGET 2021 Syllabus**

**Applied and Computational MathematicsÂ Syllabus**

**Algebra :** Groups, rings and fields. Polynomial rings. Finite fields. Isomorphism. Vector spaces, basis and dimension. Matrices and linear transformations, Rank and nullity theorem. Inner product and norm. Eigenvalues and vectors. Eigenspaces.

**Analysis :** Real numbers and their completeness. Functions, limits, continuity and differentiability. Integration. Fundamental theorem of calculus. Taylorâ€™s series. Functions of several variables. Gradient, divergence and curl. Gauss and Stokes theorems. Functions of a complex variable. Analytic functions, Cauchy theorem, Residue theorem.

**Differential Equations :** Linear differential equations of second order. Bessel and Legendre functions. Partial differential equations governing diffusion and wave motion, Laplace Equation.

**Numerical Analysis :** Solution of a nonlinear equation, system of linear equations. Interpolation. Numerical Integration and differentiation. Initial and boundary value problems. Basics of Programming in C.

**Statistics and Probability :** Sample space, events and probability axioms. Random variable and probability distributions. Mean and Variance. Binomial, normal and Poisson distributions. Random sampling, confidence intervals, testing hypotheses, goodness of fit. Regression.

**Operations Research :** Convex function, Linear Programming, Simplex Method, Dual Simplex Method, Transportation &Assignment problem, Game Theory, Queuing Models.

#### NIFT Admissions

Online Application 14 December 2020 to 21 January 2021.

#### JEE Main

Application Form Submission 16 Dec 2020 to 16 Jan 2021.