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Faculty of Science Handbook, Session 2017/2018

transformations; eigenvalues and eigenvectors; special matrices. Partial 3. G.C. King, Vibrations and Waves, 2 ed. (Wiley, 2013)
nd
differentiation: power series in two variables; total differentials; chain 4. I.G. Main, Vibrations and Waves in Physics, 3rd ed. (Cambridge
rule; implicit differentiation; application of partial differentiation to Univ. Press, 1993)
maximum and minimum problems including constraints; Lagrange 5. H. J. Pain, P. Rankin, Introduction to Vibrations and Waves (Wiley,
multipliers, endpoint and boundary point problems; change of variables; 2015)
differentiation of integrals, Leibniz rule.
Mutliple integrals: integrated integrals; applications of Integrations; SIF1003 THERMAL PHYSICS (2 CREDITS)
single and multiple integrals; change of variables in integrals; Jacobian; Temperature, heat conduction, diffusion; Zeroth law of thermodynamics;
surface integrals. PVT system, Ideal gas, van der Waal gas; Work, heat, internal energy;
Vector analysis: applications of vector multiplication; triple products; First, Second and Third laws of thermodynamics; Entropy, enthalpy,
fields; directional derivative, gradient; some other expressions involving thermodynamic potentials; Phase transition, phase diagrams; Kinetic
divergence; line integrals; Green’s Theorem in a plane; divergence and theory for ideal gas; Maxwell-Boltzmann distribution; Real gas, black
divergence theorem; Curl and Stoke’s Theorem. body radiation, Stefan's law; Equipartition of energy, Partition function;
Ordinary differential equations: separable equations; linear first-order Introduction to statistical mechanics; Basic statistics for
equations; second-order linear equations. thermodynamics.
Assessment Method: Assessment Method:
Final Examination: 60% Final Examination: 60%
Continuous Assessment: 40% Continuous Assessment: 40%
Medium of Instruction: Medium of Instruction:
English English
Soft-skills: Soft-skills:
CS2, CTPS1, CTPS2, LL1 CS2, CTPS2, CTPS3, LL1

References: References:
1. Mary L. Boas, Mathematical Methods in the Physical Sciences, 3rd 1. F.W. Sears & G.L. Salinger, Thermo-dynamics, Kinetic Theory &
ed. (John Wiley & Sons, 2006) Statistical Thermodynamics, 3 Ed. (Addison-Wesley, 1977)
rd
2. S. Hassani, Mathematical Methods: For Students of Physics and 2. Mark W. Zemansky & Richard H. Dittman, Heat and
Related Fields, , 2rd Edition (Springer, 2009) Thermodynamics, 7 Ed. (McGraw-Hill Int’l Ed., 1997)
th
3. K. F. Riley, M. P. Hobson, Essential Mathematical Methods for the 3. Daniel V. Schroeder, An Introduction to Thermal Physics (Pearson
Physical Sciences (Cambridge University Press, 2011) Education, Limited, 2013)
4. G.B. Arfken, H.J. Weber, Mathematical Methods for Physicists: A 4. S.J. Blundell & K.M. Blundell, Concepts in Thermal Physics, 2nd
Comprehensive Guide, 7th Edition (Elsevier Acad. Press, 2012) ed. (Oxford, 2012)
5. G. N. Felder, K. M. Felder, Mathematical Methods in Engineering 5. David Goodstein, Thermal Physics: Energy and Entropy
and Physics (John Wiley & Sons, 2015) (Cambridge University Press, 2015)
SIF1002 VIBRATIONS AND WAVES (2 CREDITS) SIF1004 MODERN PHYSICS (2 CREDITS)
Sinusoidal vibrations: Description of simple harmonic motion, The Special theory of relativity: Galileo-Newtonian relativity, Michelson-
rotating-vector representation, Rotating vectors and complex numbers, Morley experiment, Special theory of relativity postulates; Lorentz
Complex exponential in waves, Superposed vibrations in one dimension, transformation, Lorentz contraction, time dilation Relativity of Mass,
Two superposed vibrations of equal frequency. Momentum and Energy, 4-vector time-position: 4-vector, velocity 4-
Superposed vibrations of different frequency: beats, Many superposed vector, momentum 4-vector and momentum–energy.
vibrations of the same frequency, Combination of two vibrations at right Quantum Theory: The need for quantum theory, Duality of Particle-
angles, Perpendicular motions with equal frequencies. Wave, Wave Function, Heisenberg uncertainty, Time independent
Perpendicular motions with different frequencies: Lissajous figures, Free Schrodinger equation, Examples in 1-D: zero free particle and infinite
vibrations of physical systems; basic mass-string problem, Solving the square well potential.
harmonic oscillator equation using complex exponentials, Damped Atomic matter: summary of atomic structure and the physics of periodic
oscillations, Forced vibrations and resonance, Undamped oscillator with table, Types of Atomic Bonding, Van de Waals bond, X-ray spectrum
harmonic forcing, Complex exponential method for forced oscillations, and atomic number, Crystal structures, basic concept of phonons ,
Forced oscillations with damping, transient phenomena, Power Introduction to electron conduction in conductor, semiconductor and
absorbed by a driven oscillator. insulator.
Coupled oscillators and normal modes: Two coupled pendulums, Nuclear Physics and Radioactivity: Structure and characteristics of
Superposition of normal modes, Normal frequencies - general analytical nucleus, binding energy, Nuclear forces. Radioactivity, Conservation
approach, Forced vibration and resonance for two coupled oscillators. Laws, Q-value, natural Radioactivity Series, Nuclear reactions, nuclear
Progressive waves: what is a wave? Normal modes and travelling reactor and technology.
waves, Progressive waves in one direction, Superposition of wave Particle physics: Elementary particles and forces.
pulses. Cosmology and astrophysics: Introduction to Big-Bang theory, structure
Dispersion: phase and group velocities and evolution of stars and galaxies.
Assessment Method: Assessment Method:
Final Examination: 60% Final Examination: 60%
Continuous Assessment: 40% Continuous Assessment: 40%

Medium of Instruction: Medium of Instruction:
English English
Soft-skills: Soft-skills:
CTPS2, LL1 CS2, CTPS2, LL1
References: References:
1. P. French, Vibrations and Waves. (CRC Press, 2003) 1. S.T. Thornton & A. Rex, Modern Physics for Scientists and
2. H.J. Pain, The Physics of Vibrations & Waves, 6th ed. (Wiley, Engineers, 3rd ed. (Brooks Cole, 2005)
Chichester, 2013)

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