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Faculty of Science Handbook, Session 2019/2020
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
CS3, CTPS3, LL2
Soft-skills:
References: CS2, CT3, LL2
1. James Binney, David Skinner, The Physics of Quantum Mechanics
(Oxford University Press, 2014) References:
2. Kurt Gottfried, Tung-Mow Yan, Quantum Mechanics: 1. Mary L. Boas, Mathematical methods in the physical sciences, 3rd
Fundamentals 2nd ed. (Springer, 2013) ed. (John Wiley & Sons, 2006)
3. Reinhold Blumel, Advanced Quantum Mechanics: The Classical- 2. M.R. Spiegel, Schaum’s Outline of Advanced Mathematics for
Quantum Connection (Jones and Barlett, 2011) Engineers and Scientists, 1 ed. (McGraw-Hill, 2009)
4. David J. Griffiths, Introduction to Quantum Mechanics, 2nd ed. 3. S. Lipschutz, M. Lipson, Schaum’s Outline of Discrete
(Pearson Prentice Hall, 2004) Mathematics, Revised 3rd ed. (McGraw-Hill, 2009)
5. S. Gasiorowicz,Quantum Physics, 3rd ed. (Wiley 2003) 4. S. Lipschutz, J.J. Schiller, R.A. Srinivasan, Schaum’s Outline of
Beginning Finite Mathematics (McGraw-Hill, 2004)
5. M. Lipsson, Schaum’s Easy Outline of Discrete Mathematics
SIF3012 COMPUTATIONAL PHYSICS (3 CREDITS) (McGraw-Hill, 2002)
Ordinary Differential Equations: boundary-value and eigenvalue
problems, Sturm-Liouville problem. SMES1103 BEGINNING OF MATHEMATICAL METHODS
Matrices: matrix eigenvalue problems, Faddeev-Leverrier method,
Lanczos algorithm. Linear Equations: Row reduction, determinant and Cramer’s Rule.
Tranforms: Fast Fourier transform, wavelet transform, Hilbert transform. Vectors and vector analysis: Straight line and planes; vector
Partial Differential Equations: Elliptic, parabolic and hyperbolic multiplication, triple vector, differentiation of vectors, fields, directional
equations. derivative, gradient, some other expressions involving , line
Probabilistic Methods: Random numbers, random walks, Metropolis integrals, Green’s Theorem in a plane, divergence and divergence
algorithm, Monte Carlo simulation, Ising model, particle transport
modelling. theorem, curl and Stoke’s Theorem.
Symbolic Computing: Matlab, Mathematica, Python, Scilab. Matrices: Linear combination, linear function, linear operators, sets of
linear equations, special matrices.
Assessment Method: Partial differentiation: Power series in two variables, total differentials,
Final Examination: 60% chain rule, application of partial differentiation to maximum and minimum
problems including constraints, Lagrange multipliers, endpoint and
Continuous Assessment: 40%
boundary point problems, change of variables, differentiation of
Medium of Instruction: integrals, Leibniz Rule.
English Multiple integrals: Double and triple integrals, change of variables in
integrals, Jacobian, surface integrals.
Ordinary differential equation: Inhomogeneous Second order linear
Soft-skills:
CS3, CTPS3, LL2 differential equations.
References: Assessment Method:
1. S. Koonin & D. Meredith, Computational Physics (Westview Press Final Examination: 60%
40%
Continuous Assessment:
1998)
2. J. M. Thijssen, Computational Physics, 2nd ed. (Cambridge, 2007)
3. Paul L. DeVries and Javier Hasbun, A First Course in Medium of Instruction:
Computational Physics, 2nd Edition (2011) English
4. Joel Franklin, Computational Methods for Physics, (2013)
5. Mark E. J. Newman, Computational Physics (2012) Soft-skills:
CS2, CT3, LL2
B. Sc. (Materials Science) References:
1. Mary L. Boas, Mathematical methods in the physical sciences, 3rd
ed. (John Wiley & Sons, 2006)
SYNOPSES OF COURSES 2. M.T. Vaughn, Introduction to Mathematical Physics (Wiley-VCH,
2007)
3. G.B. Arfken, H.J. Weber, Mathematical Methods for Physicists, 6
th
CORE COURSES 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
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