Page 48 - handbook 20162017
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Faculty of Science Handbook, Session 2016/2017



               – threshold  functions,  subgraphs,  clique  number  and  References:
               chromatic  number;  the  Lovász  Local  Lemma  and  its  1.  Engineering  with  Excel  by  Ronald  W.  Larsen, Upper
               applications.                                       Saddle River, NJ : PearsonPrentice Hall, 2011
                                                               2.  Excel for Engineers and Scientists by S. C. Bloch and
               Assessment:                                         Sylvan Charles Bloch, John Wiley & Sons 2003
               Continuous Assessment:       40%                3.  Excel  for  Scientists  and  Engineers:  Numerical
               Final Examination:           60%                    Methods by E. Joseph Billo, Wiley-Interscience; 2007.
                                                               4.  A guide to Microsoft Excel for scientists and engineers
               Medium of Instruction:                              by Bernard V. Liengme, London : Arnold, 1997.
               English

               Humanity Skill:                                 SIN1003  MATHEMATICAL METHODS I
               CT3, LL2
                                                               First  order  ODE:  Definitions,  solution  concepts,  valid
               References:                                     solution  intervals.  Solutions  to  variable  separable
                                                               equations, linear equations, Bernoulli, exact and non-exact,
               1.  Alon,  N  and  Spencer,  J.  (2008).    The  Probabilistic  homogeneous  equations.  Some  applications  of  first  order
                               rd
                   Method, Wiley (3 edition).                  ODE.
               2.  Janson,  S.,  Luczak,  T.  and  Rucinski,  A.(2000).
                   Random Graphs, Wiley.                       Linear ODE  with  second  and  higher  order:  Definitions,
               3.  Matousek,  J. and Nesetril,  J.  (1998). Invitation  to  solution  concepts,  linear  independence,  Wronskian.
                   Discrete Mathematics, Oxford University Press.  Solution   to   homogeneous   and   non-homogeneous
               4.  Molloy, M. and Reed, B. (2002). Graph Colouring and  equations. Method of undetermined coefficient, Variation of
                   the Probabilistic Method, Springer.         parameters,  Series  solution  of  ordinary  differential
               5.  Lovász,  L.,  Ruzsa,  I.  and  Sós,  Vera  T.  (Eds.)  equations,  Frobenius’s  method,  Legendre  and  Bessel’s
                   (2013). Erdös Centennial, Springer.         equations. Some applications of second order ODE.
                                                               Assessment
               SIN1001  INTRODUCTION TO COMPUTING              Continuous Assessment:       40%
                                                               Final Examination:           60%
               MATLAB - Matlab environment, matrices, constants and
               variables, operation, built-in functions, output format, plot  Medium of Instruction:
               graphs, expressions and logical data, branches and loops,  English
               scripting, user-defined functions. Application of selected
               mathematical problems.                          Humanity Skill:
                                                               CS2, CT 3, LL 2
               Assessment
               Continuous Assessment:       50%                References:
               Final Examination:           50%                1.  Elementary Differential Equations. William F. Trench,
                                                                   Free downloadable edition 2013.
               Medium of Instruction:                          2.  Differential  Equations.  Paul  Blanchard,  Robert  L.
                                                                                      th
               Bahasa Malaysia/English                             Devaney & Glen R. Hall, 4 edition, Cengage 2012.
                                                               3.  An  introduction  to  Differential  Equations.  James  C.
               Humanity Skill:                                     Robinson, Cambridge University Press 2004.
               CT 3, LL 2
               References:                                     SIN2001 MATHEMATICAL METHODS II
               1.  Matlab  Programming  for  Engineers  by  Stephen
                   J.Chapman, Thomson, 2004.                   Computer  arithmetic:  floating-point  numbers,  round  off
               2.  Engineering  computation  with  MATLAB  by  David  M.  error,  machine  precision,  overflow/underflow,  numerical
                   Smith, Boston : Addison/Wesley, 2012.       cancellation, truncation error.
               3.  Essentials  of  MATLAB  programming  by  Stephen  J.
                   Chapman, Stamford, CT : CENGAGE Learning, 2009.  Taylor polynomial and limits.
               4.  Mastering  MATLAB  7  by  Duane  Hanselman  and
                   Bruce Littlefield, Pearson Education;  2005.  Interpolation:  Lagrange  interpolation,  Divided  differences,
                                                               Hermite interpolation, cubic spline interpolation
               SIN1002  INTRODUCTION TO WORKSHEET              Roots  of  nonlinear  equation:  bisection method,  fixed-point
                                                               iteration, Newton – Raphson method, secant method.
               Basics  of Spreadsheet,  entering  labels,  numbers  and  Numerical  differentiation:  Forward,  backward  and  central
               formulae. Absolute  &  relative  addressing,  Excel  functions.  finite difference.
               Graph  plotting,  use  of  solvers.  Applications  to  some
               selected mathematical problems                  Numerical Integration: Rectangular, trapezoidal, Simpson’s,
                                                               Romberg’s. Composite methods.
               Assessment
               Continuous Assessment:       50%                System  of  linear  equations.  Matrix  factorization, LU
               Final Examination:           50%                factorization.
               Medium of Instruction:                          Assessment
               Bahasa Malaysia/English                         Continuous Assessment:       40%
                                                               Final Examination:           60%
               Humanity Skill:
               CT 3, LL 2                                      Medium of Instruction:
                                                               Bahasa Malaysia/English



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