Way 2 Freshers

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Linear Algebra: Finite dimensional vector spaces. Linear transformations and their matrix representations, rank; systems of linear equations, eigenvalues and eigenvectors, minimal polynomial, Cayley-Hamilton theorem, diagonalisation, Hermitian, Skew-Hermitian and unitary matrices. Finite dimensional inner product spaces, self-adjoint and Normal linear operators, spectral theorem, Quadratic forms.
Complex Analysis: Analytic functions, conformal mappings, bilinear transformations, complex integration: Cauchy’s [...]

Natural Products – Pharmacognosy & Phytochemistry: Chemistry, tests, isolation, characterization~and estimation of phytopharmaceuticals belonging to the group of Alkaloids, Glycosides, Terpenoids, Steroids, Bioflavanoids, Purines, Guggul lipids. Pharmacognosy of crude drugs which contain the above constituents. Standardisation of raw materials and herbal products. WHO guide lines. Quantitative microscopy including modern techniques used for evaluation. Biotechnological principles [...]

MATHEMATICS:
* Linear Algebra: Determinants; algebra of matrices; rank; inverse; systems of linear equations; eigenvalues and eigenvectors; quadratic forms.
* Calculus: Taylor series, Fourier series, partial derivatives, total derivatives, definite and improper integral, multiple integrals.
Vector calculus: Gradient; divergence and curl; vector identities; line [...]

Mathematical Physics: Linear vector space, matrices; vector calculus; linear differential equations; elements of complex analysis; Laplace transforms, Fourier analysis, elementary ideas about tensors.
Classical Mechanics: Conservation laws; central forces; collisions and scattering in laboratory and centre of mass reference frames; mechanics of system of particles; rigid body dynamics; moment of inertia tensor; noninertial frames and [...]

Thermodynamics and Rate Processes: Laws of thermodynamics, activity, equilibrium constant, applications to metallurgical systems, solutions, phase equilibria, basic kinetic laws, order of reactions, rate constants and rate limiting steps principles of electro chemistry, aqueous, corrosion and protection of metals, oxidation and high temperature corrosion – characterization and control; momentum transfer – concepts of viscosity, [...]

Mechanics and Engineering Mathematics: Equivalent force systems, equations of equilibrium, two dimensional frames 3nd trusses, free body diagrams, friction forces, particle kinematics and dynamics.
Limit, continuity, and differentiability of functions of several variables, partial derivatives and thai* geometrical interpretations, implicit functions, derivatives of higher order and their commutativrty. Eulcr’s theorem on homogeneous functions and harmonic [...]

Engineering Mathematics

* Linear Algebra: Algebra of matrices, system of linear equations, eigenvalues and eigenvectors.
* Calculus: Taylor series, Fourier series, partial derivatives, total derivatives, definite and improper integrals, multiple integrals.
* Vector Calculus: Gradient, divergence and curl, line and surface integrals, Green, Gauss and Stokes’ [...]

Linear Algebra: Finite dimensional vector spaces. Linear transformations and their matrix representations, rank; systems of linear equations, eigenvalues and eigenvectors, minimal polynomial, Cayley-Hamilton theorem, diagonalisation, Hermitian, Skew-Hermitian and unitary matrices. Finite dimensional inner product spaces, self-adjoint and Normal linear operators, spectral theorem, Quadratic forms.
Complex Analysis: Analytic functions, conformal mappings, bilinear transformations, complex integration: Cauchy’s [...]

Basic Mathematics
Mathematical Logic: prepositional logic, first order logic
Probability: random variables and expectation, conditional probability, independent random variables, distributions – uniform, normal, exponential, binomial
Discrete Mathematics: sets, relations, functions, Boolean algebra, induction, recurrence relations
Combinatorics: permutations, combinations, counting summations
Graph Theory: elementary concepts, planarity, matching
Algebra: elementary concepts of linear and matrix algebra
Numerical Methods: classical algorithms for interpolation and root [...]

Measurement Basics and Metrology: Static and dynamic characteristics of measurement systems. Standards and calibration. Error and uncertainty analysis, statistical analysis of data, and curve fitting. Linear and angular measurements; Measurement of straightness, flatness, roundness and roughness.
Transducers, Mechanical Measurements and Industrial Instrumentation: Transducers – elastic, resistive, inductive, capacitive, thermo-electric, piezoelectric, photoelectric, electro-mechanical, electrochemical, and ultrasonic. [...]