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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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