Page 220 - Handbook Bachelor Degree of Science Academic Session 20202021

Faculty of Science Handbook, Academic Session 2020/2021

References:
1. Mary L. Boas, Mathematical Methods in the Physical Sciences,
3rd ed. (John Wiley & Sons, 2006) B. Sc. (Materials Science)
2. S. Hassani, Mathematical Methods: For Students of Physics and
Related Fields, , 2rd Edition (Springer, 2009) SYNOPSIS OF COURSES
3. K. F. Riley, M. P. Hobson, Essential Mathematical Methods for the
Physical Sciences (Cambridge University Press, 2011)
4. G.B. Arfken, H.J. Weber, Mathematical Methods for Physicists: A
Comprehensive Guide, 7th Edition (Elsevier Acad. Press, 2012)
5. G. N. Felder, K. M. Felder, Mathematical Methods in Engineering
and Physics (John Wiley & Sons, 2015)
CORE COURSES
SIF3011 QUANTUM MECHANICS II (3 CREDITS)

General formalism of quantum mechanics. Time-independent LEVEL 1
perturbation theory. Time-dependent perturbation theory. Scattering
theory. Angular momentum. Additional of angular momentum.
Relativistic quantum mechanics. SMES1102 FUNDAMENTAL OF MATHEMATICAL METHOD

Vector: addition, dot product, cross product
Assessment Method: Functions with one variable: differentiation and integration
Final Examination: 60% Ordinary differential equations: Solutions to first order and linear
Continuous Assessment: 40% second order homogeneous differential equations
Taylor series including many variables
Medium of Instruction: Matrices: addition, multiplication, determinant
English Complex number, exp (i) expression

Soft-skills: Assessment Method:
CS3, CTPS3, LL2 Final Examination: 60%
Continuous Assessment: 40%
References:
1. James Binney, David Skinner, The Physics of Quantum Medium of Instruction:
Mechanics (Oxford University Press, 2014) English
2. Kurt Gottfried, Tung-Mow Yan, Quantum Mechanics:
Fundamentals 2nd ed. (Springer, 2013) Soft-skills:
3. Reinhold Blumel, Advanced Quantum Mechanics: The Classical- CS2, CT3, LL2
Quantum Connection (Jones and Barlett, 2011)
4. David J. Griffiths, Introduction to Quantum Mechanics, 2nd ed. References:
(Pearson Prentice Hall, 2004) 1. Mary L. Boas, Mathematical methods in the physical sciences, 3rd
5. S. Gasiorowicz,Quantum Physics, 3rd ed. (Wiley 2003) ed. (John Wiley & Sons, 2006)
2. M.R. Spiegel, Schaum’s Outline of Advanced Mathematics for
Engineers and Scientists, 1 ed. (McGraw-Hill, 2009)
SIF3012 COMPUTATIONAL PHYSICS (3 CREDITS) 3. S. Lipschutz, M. Lipson, Schaum’s Outline of Discrete
Mathematics, Revised 3rd ed. (McGraw-Hill, 2009)
Ordinary Differential Equations: boundary-value and eigenvalue 4. S. Lipschutz, J.J. Schiller, R.A. Srinivasan, Schaum’s Outline of
problems, Sturm-Liouville problem. Beginning Finite Mathematics (McGraw-Hill, 2004)
Matrices: matrix eigenvalue problems, Faddeev-Leverrier method, 5. M. Lipsson, Schaum’s Easy Outline of Discrete Mathematics
Lanczos algorithm. (McGraw-Hill, 2002)
Tranforms: Fast Fourier transform, wavelet transform, Hilbert
transform.
Partial Differential Equations: Elliptic, parabolic and hyperbolic SMES1103 BEGINNING OF MATHEMATICAL METHODS
equations.
Probabilistic Methods: Random numbers, random walks, Metropolis Linear Equations: Row reduction, determinant and Cramer’s Rule.
algorithm, Monte Carlo simulation, Ising model, particle transport Vectors and vector analysis: Straight line and planes; vector
modelling. multiplication, triple vector, differentiation of vectors, fields, directional
Symbolic Computing: Matlab, Mathematica, Python, Scilab. derivative, gradient, some other expressions involving  , line
integrals, Green’s Theorem in a plane, divergence and divergence
Assessment Method: theorem, curl and Stoke’s Theorem.
Final Examination: 60% Matrices: Linear combination, linear function, linear operators, sets of
Continuous Assessment: 40% linear equations, special matrices.
Partial differentiation: Power series in two variables, total differentials,
Medium of Instruction: chain rule, application of partial differentiation to maximum and
English minimum problems including constraints, Lagrange multipliers,
endpoint and boundary point problems, change of variables,
Soft-skills: differentiation of integrals, Leibniz Rule.
CS3, CTPS3, LL2 Multiple integrals: Double and triple integrals, change of variables in
integrals, Jacobian, surface integrals.
References: Ordinary differential equation: Inhomogeneous Second order linear
1. S. Koonin & D. Meredith, Computational Physics (Westview Press differential equations.
1998)
2. J. M. Thijssen, Computational Physics, 2nd ed. (Cambridge, 2007) Assessment Method:
3. Paul L. DeVries and Javier Hasbun, A First Course in Final Examination: 60%
Computational Physics, 2nd Edition (2011) Continuous Assessment: 40%
4. Joel Franklin, Computational Methods for Physics, (2013)
5. Mark E. J. Newman, Computational Physics (2012)

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