Page 239 - handbook 20162017

Faculty of Science Handbook, Session 2016/2017

Matrices: matrix eigenvalue problems, Faddeev-Leverrier method, integrals, Green’s Theorem in a plane, divergence and divergence
Lanczos algorithm. theorem, curl and Stoke’s Theorem.
Tranforms: Fast Fourier transform, wavelet transform, Hilbert Matrices: Linear combination, linear function, linear operators, sets of
transform. linear equations, special matrices.
Partial Differential Equations: Elliptic, parabolic and hyperbolic Partial differentiation: Power series in two variables, total differentials,
equations. chain rule, application of partial differentiation to maximum and
Probabilistic Methods: Random numbers, random walks, Metropolis minimum problems including constraints, Lagrange multipliers,
algorithm, Monte Carlo simulation, Ising model, particle transport endpoint and boundary point problems, change of variables,
modelling. differentiation of integrals, Leibniz Rule.
Symbolic Computing: Matlab, Mathematica, Python, Scilab. Multiple integrals: Double and triple integrals, change of variables in
integrals, Jacobian, surface integrals.
Assessment Method: Ordinary differential equation: Inhomogeneous Second order linear
Final Examination: 60% differential equations.
Continuous Assessment: 40%
Assessment Method:
Medium of Instruction: Final Examination: 60%
English Continuous Assessment: 40%

Soft-skills: Medium of Instruction:
CS3, CTPS3, LL2 English
References: Soft-skills:
1. Paul L. DeVries and Javier Hasbun, A First Course in CS2, CT3, LL2
Computational Physics, 2nd Edition (2011)
2. Joel Franklin, Computational Methods for Physics, (2013) References:
3. Mark E. J. Newman, Computational Physics (2012) 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,
B. Sc. (Materials Science) 2007)
3. G.B. Arfken, H.J. Weber, Mathematical Methods for Physicists, 6 th
SYNOPSES OF COURSES Edition - Int’l (Acad. Press, 2005)
4. S. Hassani, Mathematical Physics (Springer, 1999)

CORE COURSES SMES1201 VIBRATIONS AND WAVES
Simple harmonic motion, damped oscillation, forced oscillation, wave
propagating in a string, transverse and horizontal waves, wave at the
LEVEL 1 interface of two media, superposition of waves, velocity of waves,
group velocity, coherence, coherence length, coherence time,
interference, diffraction, sound wave, light wave, electromagnetic wave,
SMES1102 FUNDAMENTAL OF MATHEMATICAL METHOD wave in fluids, wave-particle duality
Vector: addition, dot product, cross product
Functions with one variable: differentiation and integration Assessment Method:
Ordinary differential equations: Solutions to first order and linear Final Examination: 60%
second order homogeneous differential equations Continuous Assessment: 40%
Taylor series including many variables
Matrices: addition, multiplication, determinant Medium of Instruction:
Complex number, exp (i) expression English

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

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