CSIR NET

TEST Series 12 Test (MWT-8, FLT-4)

8MWT+4FLT=12 Test

FLT- Full Length Test – Simulated Real Time 3 HR Each

MWT – Module Wise Test – Real Time 2 HR Each

**Regular Price**:- Rs 4000/-(Including GST)

** Offer Price**:- Rs 3000/-(Including GST)

FLT Test

Test Series 4 FLT

Online FLT Test =4 FLT

**FLT** - Full Length Test- Simulated Real Time 3 HR each

**Regular Price**:- Rs 2000/-(Including GST)

** Offer Price**:- Rs 1500/-(Including GST)

TEST TYPE | Modules | Syllabus | DATE |
---|---|---|---|

MWT-01 |
Real Analysis & Topology |
Elementary set theory, finite, countable and uncountable sets, Real number system as a complete ordered field, Archimedean property, supremum, infimum. Sequences and series, convergence, limsup, liminf. Bolzano Weierstrass theorem, Heine Borel theorem. Continuity, uniform continuity, differentiability, mean value theorem. Sequences and series of functions, uniform convergence. Riemann sums and Riemann integral, Improper Integrals. Monotonic functions, types of discontinuity, functions of bounded variation, Lebesgue measure, Lebesgue integral. Functions of several variables, directional derivative, partial derivative, derivative as a linear transformation, inverse and implicit function theorems. Metric spaces, compactness, connectedness. |
2-May-18 |

MWT-02 |
Modern Algebra (Group Theory) |
Permutations, combinations, Fundamental theorem of arithmetic, divisibility in Z, congruences, Chinese Remainder Theorem, Euler’s Ø- function, primitive roots. Groups, subgroups, normal subgroups, quotient groups, homomorphisms, cyclic groups, permutation groups, Cayley’s theorem, class equations, Sylow theorems. |
6-May-18 |

MWT-03 |
Partial Differential Equation & Integral Equation |
Lagrange and Charpit methods for solving first order PDEs, Cauchy problem for first order PDEs. Classification of second order PDEs, General solution of higher order PDEs with constant coefficients, Method of separation of variables for Laplace, Heat and Wave equations. Linear integral equation of the first and second kind of Fredholm and Volterra type, Solutions with separable kernels. Characteristic numbers and eigenfunctions, resolvent kernel. |
10-May-18 |

MWT-04 |
Complex Analysis |
Algebra of complex numbers, the complex plane, polynomials, power series, transcendental functions such as exponential, trigonometric and hyperbolic functions. Analytic functions, Cauchy-Riemann equations. Contour integral, Cauchy’s theorem, Cauchy’s integral formula, Liouville’s theorem, Maximum modulus principle, Schwarz lemma, Open mapping theorem. Taylor series, Laurent series, calculus of residues. Conformal mappings, Mobius transformations. |
14-May-18 |

MWT-05 |
ODE & COV |
Existence and uniqueness of solutions of initial value problems for first order ordinary differential equations, singular solutions of first order ODEs, system of first order ODEs. General theory of homogenous and non-homogeneous linear ODEs, variation of parameters, Sturm-Liouville boundary value problem, Green’s function. Variation of a functional, Euler-Lagrange equation, Necessary and sufficient conditions for extrema. Variational methods for boundary value problems in ordinary and partial differential equations. |
18-May-18 |

MWT-06 |
Linear Algebra (section - I) |
Vector spaces, subspaces, linear dependence, basis, dimension, algebra of linear transformations, matrix representation of linear transformation, Algebra of matrices, rank and determinant of matrices, system of linear equations. |
22-May-18 |

MWT-07 |
Modern Algebra (Ring Theory) |
Rings, ideals, prime and maximal ideals, quotient rings, unique factorization domain, principal ideal domain, Euclidean domain. Polynomial rings and irreducibility criteria. Fields, finite fields, field extensions, |
26-May-18 |

MWT-08 |
Linear Algebra (section - II) |
Eigenvalues and eigenvectors, Cayley-Hamilton theorem. Change of basis, canonical forms, diagonal forms, triangular forms, Jordan forms. Inner product spaces, orthonormal basis. Quadratic forms, reduction and classification of quadratic forms |
30-May-18 |

FLT-01 |
Full Length Test |
As per Exam Pattern (Simulated) |
3-Jun-18 |

FLT-02 |
Full Length Test |
As per Exam Pattern (Simulated) |
7-Jun-18 |

FLT-03 |
Full Length Test |
As per Exam Pattern (Simulated) |
10-Jun-18 |

FLT-04 |
Full Length Test |
As per Exam Pattern (Simulated) |
13-Jun-18 |

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**Schedule**:- 1st of May to 14th June 2018

**What if I Miss?**:- If you miss the test on specified time due to any reason, don’t worry, you can still do the test and check your marks.

**Where I will do test?:- **You can do on desktop browser or DIPS APP (Android).

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