B.Sc. Physics
1st Semester Syllabus
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MJC-1 : Introduction to Mathematical Physics & Classical Mechanics (गणितीय भौतिकी और शास्त्रीय यांत्रिकी का परिचय)
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Unit 1: Concept of Differentiation & Integration (विभेदन और समाकलन की अवधारणा)
◦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 2: Vector Algebra & Vector Calculus (सदिश बीजगणित और सदिश कलन)
◦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 3: Fundamentals of Dynamics (गतिकी की मूल बातें)
◦Inertial and Non-Inertial Frame of Reference
◦Rotating frame of Reference
◦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 4: Centre-of-Mass Frame and Central Forces (द्रव्यमान केंद्र फ्रेम और केंद्रीय बल)
◦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
Reference Books:
- H. Goldstein, C. P. Poole and J. F. Safko, Classical Mechanics, Addison-Wesley
- N. C. Rana and P. S. Joag, Classical Mechanics, Tata McGraw-Hill.
- Classical mechanics- J.C. Upadhyay
- Classical mechanics- A.B Gupta
- Classical mechanics- Tackwale & Puranik
- Mathematical Physics- Pipes OR W.W. Bell
- Innovative Mathematical Physics- Prof B. C. Rai
- S. L. Gupta, V. Kumar and H. V. Sharma, Classical Mechanics, PragatiPrakashan.
- Differential Equations, George F. Simmons, 2006, Tata McGraw-Hill.
- Mathematical Methods for Physicists, Arfken, Weber and Harris, Elsevier