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Faculty of Science Handbook, Session 2017/2018

Probabilistic Methods: Random numbers, random walks, Metropolis derivative, gradient, some other expressions involving  , line
algorithm, Monte Carlo simulation, Ising model, particle transport integrals, Green’s Theorem in a plane, divergence and divergence
modelling.
Symbolic Computing: Matlab, Mathematica, Python, Scilab. theorem, curl and Stoke’s Theorem.
Matrices: Linear combination, linear function, linear operators, sets of
Assessment Method: linear equations, special matrices.
Partial differentiation: Power series in two variables, total differentials,
Final Examination: 60% chain rule, application of partial differentiation to maximum and minimum
Continuous Assessment: 40% problems including constraints, Lagrange multipliers, endpoint and
Medium of Instruction: boundary point problems, change of variables, differentiation of
English integrals, Leibniz Rule.
Multiple integrals: Double and triple integrals, change of variables in
Soft-skills: integrals, Jacobian, surface integrals.
Ordinary differential equation: Inhomogeneous Second order linear
CS3, CTPS3, LL2 differential equations.
References:
1. S. Koonin & D. Meredith, Computational Physics (Westview Press Assessment Method: 60%
Final Examination:
1998) Continuous Assessment: 40%
2. J. M. Thijssen, Computational Physics, 2nd ed. (Cambridge, 2007)
3. Paul L. DeVries and Javier Hasbun, A First Course in
Computational Physics, 2nd Edition (2011) Medium of Instruction:
4. Joel Franklin, Computational Methods for Physics, (2013) English
5. Mark E. J. Newman, Computational Physics (2012)
Soft-skills:
CS2, CT3, LL2
B. Sc. (Materials Science) References:

SYNOPSES OF COURSES 1. Mary L. Boas, Mathematical methods in the physical sciences, 3rd
ed. (John Wiley & Sons, 2006)
2. M.T. Vaughn, Introduction to Mathematical Physics (Wiley-VCH,
2007)
CORE COURSES 3. G.B. Arfken, H.J. Weber, Mathematical Methods for Physicists, 6 th
Edition - Int’l (Acad. Press, 2005)
4. S. Hassani, Mathematical Physics (Springer, 1999)
LEVEL 1

SMES1201 VIBRATIONS AND WAVES
SMES1102 FUNDAMENTAL OF MATHEMATICAL METHOD Simple harmonic motion, damped oscillation, forced oscillation, wave
propagating in a string, transverse and horizontal waves, wave at the
Vector: addition, dot product, cross product interface of two media, superposition of waves, velocity of waves, group
Functions with one variable: differentiation and integration velocity, coherence, coherence length, coherence time, interference,
Ordinary differential equations: Solutions to first order and linear diffraction, sound wave, light wave, electromagnetic wave, wave in
second order homogeneous differential equations fluids, wave-particle duality
Taylor series including many variables
Matrices: addition, multiplication, determinant Assessment Method:
Complex number, exp (i) expression Final Examination: 60%
Continuous Assessment: 40%
Assessment Method:
Final Examination: 60% Medium of Instruction:
Continuous Assessment: 40% English
Medium of Instruction: Soft-skills:
English CS2, CT3, LL2

Soft-skills: References:
CS2, CT3, LL2 1. H.J. Pain, The Physics of Vibrations & Waves, 6 ed. (Wiley,
th
Chichester, 2005)
References: 2. G.C. King, Vibrations and Waves (Wiley, 2009)
1. Mary L. Boas, Mathematical methods in the physical sciences, 3rd 3. W. Gough, Vibrations and Waves, 2nd ed. (Prentice Hall, 1996)
ed. (John Wiley & Sons, 2006) 4. I.G. Main, Vibrations and Waves in Physics, 3rd ed. (Cambridge
2. M.R. Spiegel, Schaum’s Outline of Advanced Mathematics for Univ. Press, 1993)
Engineers and Scientists, 1 ed. (McGraw-Hill, 2009)
3. S. Lipschutz, M. Lipson, Schaum’s Outline of Discrete SMES1202 THERMAL PHYSICS
Mathematics, Revised 3rd ed. (McGraw-Hill, 2009)
4. S. Lipschutz, J.J. Schiller, R.A. Srinivasan, Schaum’s Outline of Temperature, heat conduction, diffusion. Radiation, Stefan’s law, Zeroth
Beginning Finite Mathematics (McGraw-Hill, 2004) law of thermodynamics, work and heat; First, Second and third laws of
5. M. Lipsson, Schaum’s Easy Outline of Discrete Mathematics thermodynamics; entropy; phase transition, phase diagrams; kinetic
(McGraw-Hill, 2002) theory for ideal gas, Maxwell-Boltzmann distribution; real gas.
Introduction to statistical mechanics: microstates, equipartition of
energy, partition function, basic statistics for thermodynamics; statistical
SMES1103 BEGINNING OF MATHEMATICAL METHODS entropy and information as negative entropy.
Linear Equations: Row reduction, determinant and Cramer’s Rule. Assessment Method:
Vectors and vector analysis: Straight line and planes; vector Final Examination: 60%
multiplication, triple vector, differentiation of vectors, fields, directional Continuous Assessment: 40%

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