VECTOR ANALYSIS FOR IAS/IFoS MAINS (MATHS)
Syllabus Scalar and vector fields, differentiation of vector field of a scalar variable; Gradient, divergence and curl in Cartesian and …
PRIVATE COURSEPRIVATEALGEBRA FOR IAS/IFoS MAINS (MATHS)
Syllabus Groups, subgroups, cyclic groups, cosets, Lagrange’s Theorem, normal subgroups, quotient groups, homomorphism of groups, basic isomorphism theorems, permutation groups, …
PRIVATE COURSEPRIVATEENGINEERING MATHEMATICS FOR GATE
SYLLABUS Linear Algebra: Matrix Algebra, Systems of linear equations, Eigenvalues, Eigenvectors. Calculus: Mean value theorems, Theorems of integral calculus, Evaluation …
PRIVATE COURSEPRIVATE
MODERN PHYSICS FOR IITJAM
Inertial frames and Galilean invariance. Postulates of special relativity. Lorentz transformations. Length contraction, time dilation. Relativistic velocity addition theorem, mass energy equivalence. Blackbody radiation, photoelectric effect, Compton effect, Bohr’s atomic model, X-rays. Wave-particle duality, Uncertainty principle, the superposition principle, calculation of expectation values, Schrödinger equation and its solution for one, two and three dimensional boxes. Solution of Schrödinger equation for the one dimensional harmonic oscillator. Reflection and transmission at a step potential, Pauli exclusion prin-ciple. Structure of atomic nucleus, mass and binding energy. Radioactivity and its applications. Laws of radioactive decay.
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