Page 35 - CatalogNEP-PS

4. Physics of Semiconductor Devices, Dilip K. Roy (1992), Universites Press, Distributed by
Orient Longman Limited.
5. Solid State Electronic Devices, Ben G. Streetman, 2nd Edtion(1986), Prentice Hall Of
India New Delhi-110001.
6. Principle of Electronics, VK Mehta, S Chand and Company
7. Electronic Devices and circuit theory, R. L. Boylestad and L. D. Nashelsky, Pearson
Learning
8. Digital Principles and Applications, Donald P Leach, Albert Paul Malvino and Goutam
Saha, Pearson Education, Tata Mc-Graw Hill.

Phys.223 Mathematical and Computational Physics 3+1*

LEARNING OBJECTIVES:

The primary objective of this course is to:
 impart knowledge about various mathematical tools employed to study physics problems.
 develop required mathematical skills to solve problems in quantum mechanics,
electrodynamics and other fields of theoretical physics.
 The course will also expose students to fundamental computational physics skills enabling
them to solve a wide range of physics problems.
 The skills developed during course will prepare them not only for doing fundamental and
applied research but also for a wide variety of careers.

LEARNING OUTCOMES:

Upon completion of the course, the student should be able to:
 Solve differential equation of various types arising in physics and mathematics.
 Develop techniques to solve complicated equations using the series solution method.
 Understand the importance of Fourier spaces and analyse functions accordingly.
 Solve equations of mathematical physics in various coordinate systems.
 basic numerical techniques to solve ordinary and partial differential equations appearing in
some situations in physics.
 Monte-Carlo techniques and its applications in solving integral equations.
 Pseudo-Random number generation and its application in quantum mechanical problems.
 Spectral decomposition techniques and Fourier transforms

THEORY (45 Hours)

UNIT 1 (15 Hours)
Fourier Intergals: Fourier expansion of functionsFourier Series: Periodic functions.Orthogonality
of sine and cosine functions, Dirichlet Conditions (Statement only).Expansion of periodic
functions in a series of sine and cosine functions and determination of Fourier
coefficients.Complex representationof Fourier series.Expansion of functions with arbitrary
period.Expansion of non-periodic functions over an interval.Even and odd functions and their
Fourierexpansions.Application.Summing of Infinite Series. Term-by-Term differentiation and
integration of Fourier Series. Parseval Identity.
Laplace integrals: Laplace Transforms: Laplace Transform (LT) of Elementary functions.
Properties of LTs: Change of Scale Theorem, Shifting Theorem. LTs of Derivatives and Integrals
of Functions, Derivatives and Integrals of LTs. LT of Unit Step function, Dirac Delta function,
Periodic Functions. Convolution Theorem. Inverse LT. Application of Laplace Transforms to
Differential Equations: Damped Harmonic Oscillator, Simple Electrical Circuits.

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