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Introduction to Mathematical Physics & Classical Mechanics B.Sc First Sem Bihar

Click below to Buy E-Book Edition:
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Buy Latest Introduction to Mathematical Physics & Classical Mechanics ( Major/Minor ) Book in English Language for B.Sc 1st Semester Bihar State By Thakur publication.
AUTHORS : Dr. Subodh Kumar Sharma
ISBN : 9789357553575
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Click below to Buy E-Book Edition:
₹145 E-BOOK GOOGLE PLAY
Buy Latest Introduction to Mathematical Physics & Classical Mechanics ( Major/Minor ) Book in English Language for B.Sc 1st Semester Bihar State By Thakur publication.
AUTHORS : Dr. Subodh Kumar Sharma
ISBN : 9789357553575
Syllabus
Introduction to Mathematical Physics & Classical Mechanics
Major Course I (MJC-1)
MJC-1: 4 Credit
Unit 1: Concept of Differentiation & Integration 01 Credit (15 hrs)
Differential calculus: Geometric Meaning of derivative; Maxima & Minima; Approximation of derivative; Partial Differentiation. Approximation using Taylor and Binomial series.
Integral Calculus: Geometric Meaning of integration, order and degree of differential equation. Solution of First order (homogeneous & Non-homogeneous), Integrating Factor. Exact and Inexact Differentials. D-operator & Solution of Second order Differential Equation.
Unit II: Vector Algebra &Vector Calculus 01 Credit (15 hra)
Vector Triple Products & their significance: concept of scalar & vector fields, Gradient of scalar. Divergence & Curl of vectors and their physical applications in Physics
(e.g. Equation of continuity, Euler’s equation of motion, Bernoulli’s theorem, Fourier heat flow, Poisson’s and Laplace's equation in a gravitational field, Gauss’s law of in Electrostatic, etc.).
Unit 111: Fundamentals of Dynamics 01 Credit (15 hrs)
Inertial and Non-Inertial Frame of Reference, Rotating frame of Referenc,. Centrifugal and Coriolis Forces with their applications (Effect on value of ‘g’. On path of freely falling body, Geo-physical effect); Foucault pendulum, Direct proof of rotation of Earth.
Unit IV: Centre -of- Mass Frame and Central Forces 01 Credit (15 hrs)
Lab frame & Centre of Mass frame, Two dimensional collision in physical problems. Relation connecting Scattering angle, Recoil angle. final velocities in C-frame &
L-frame, Cross section & Rutherford scattering. Central forces and their equations,; General Equation of central orbit. Kepler’s law of Planetary motion, Artificial satellite.
Minor Course I (MIC-1)
MIC-1: 2 Credit
Unit I: Introduction to Calculus & Vector 01 Credit (15 hrs)
Differential Calculus: Geometric Meaning of derivative; Maxima & Minima; Approximation of derivative; Partial Differentiation.
Integral Calculus: Geometric Meaning of integration, order and degree of differential equation, Solution of First order (homogeneous & Non-homogeneous), Integrating Factor, Exact and Inexact Differentials. Recapitulation of Vectors, Vector Algebra involving two and three vectors, Introduction to Gradient, Divergence, Curl of Vectors with their physical significance.
Unit II: Fundamentals of Dynamics 01 Credit (15 hrs)
Inertial and Non-Inertial Frame of Reference. Rotating frame, Fictitious Forces-Centrifugal and Coriolis Forces with their applications (Effect on value of ‘g’, On path of freely falling body) Introduction to special theory of relativity & its postulates.