Page 44 - handbook 20162017
P. 44

Faculty of Science Handbook, Session 2016/2017



               basic  properties  of  graphs, circuits  and  cycles  in  graphs,  References:
               trees and their applications.                   1.  Lay, R. (2014). Analysis with an introduction to proof,
                                                                   Pearson (5 edition).
                                                                           th
               Assessment:                                     2.  Kosmala,  W.  (2004).  A  Friendly  Introduction  to
               Continuous Assessment:       40%                    Analysis, Pearson (2nd edition).
               Final Examination:           60%                3.  Haggarty,  R.  (1993).  Fundamentals  of  Mathematical
                                                                   Analysis. Addison-Wesley Publ. Co. (2nd edition).
               Medium of Instruction:                          4.  Bartle,  R.G.  &  Sherbert,  D.R.  (2011). Introduction  to
               English                                             Real Analysis, John Wiley & Sons Inc (4th edition).
                                                               5.  Pownall,  M.W.  (1994).  Real  Analysis:  A First  Course
               Humanity Skill:                                     with Foundations, Wm. C. Brown Publ. Co.
               CS3, CT3, LL2
               References:                                     SIM2006  COMPLEX VARIABLES
               1.  Erickson, M.J. (2013).  Introduction to Combinatorics,
                         nd
                   Wiley (2 edition).                          Complex  number  system.  Complex  function,  limits,
               2.  Chen,  C.C.  &  Koh,  K.M.  (1992). Principles  and  continuity,  differentiability  and  analytic  function.  Cauchy-
                   Techniques in Combinatorics, World Scientific.  Riemann  equations,  Harmonic  functions.  Mapping  and
               3.  Lovasz,  L.,  Pelikan,  J.  &  Vesztergombi,  K.  (2003).  other  properties  of  elementary  functions.  Complex
                   Discrete  Mathematics  :  Elementary  and  Beyond,  Integration, Cauchy’s Theorem, Cauchy’s Integral Formula.
                   Springer.
               4.  Matousek  J.  &  Nesetril  J.  (2008).  Invitationd  to  Assessment:
                   Discrete  Mathematics:  Oxford  Leniv.  Press  (2nd  Continuous Assessment:  40%
                   edition).                                   Final Examination:           60%

                                                               Medium of Instruction:
               SIM2004  ALGEBRA I                              English
               Groups and subgroups. Order of an element and order of a  Humanity Skill:
               subgroup.  Lagrange’s  theorem.  Normal  subgroups  and  CT3, LL2
               factor groups. Homomorphisms and isomorphisms, Rings,
               integral domains and fields. Subrings and subfields. Ideals  References:
               and  quotient  rings.  Rings  of  polynomials.  The  Division  1.  Churchill,  R.V. &  Brown,  J.W.  (2013).  Complex
               algorithm  and  Euclidean  algorithm  in  polynomial  rings.  Variables and Applications, McGraw-Hill Book Co (9 th
               Unique factorization theorem.                       ed).
                                                               2.  Mathews  John  H.  and  Howell,  Russell  W.  (2012).
               Assessment:                                         Complex Analysis: for Mathematics and Engineering,
                                                                                       th
               Continuous Assessment:       40%                    Jones & Bartlett Pub. Inc. (6 ed).
               Final Examination:           60%                3.  Nguyen  Huu  Bong  (1994).  Analisis Kompleks  dan
                                                                   Penerapan, Dewan Bahasa dan Pustaka.
               Medium of Instruction:                          4.  Howie,  John  M.  (2007).  Complex  Analysis.  Springer,
               English                                             (3 ed).
                                                                    rd
               Humanity Skill:
               CT3, LL2                                        SIM2007    APPRECIATION OF MATHEMATICS
               References:                                     Students will be put into groups. Each group will be given 2
               1.  Gilbert,  L.,  Gilbert,  J.  (2014).    Elements  of  Modern  mathematical tasks to work on. These tasks will come from
                   Algebra, Brooks/Cole (8 edition).           a variety of topics selected from, but not limited to: algebra,
                                    th
               2.  Durbin, J.R. (2008). Modern Algebra, An Introduction,  geometry,  combinatorics,  applied  and  computational
                   John Wiley (6 edition).                     mathematics,  probability  and  statistics,  science  &
                             th
               3.  Judson,  T.W.  (2014).  Abstract  Algebra,  Theory  and  technology,  mathematics  and  society,  management
                   Applications, Open Source.                  science,  finance  mathematics,  actuarial  sciences,  history
                                                               and   philosophy.   Students   collectively   will   use
                                                               tools/elements  of  mathematics  to  undertake  each  task.  In
               SIM2005  INTRODUCTION TO ANALYSIS               undertaking these tasks, students are required to carry out
                                                               to  a  certain  extend  some  literature  survey,  background
               Sequences.  Infinite  series,  convergence.    Tests  of  reading and explore some elementary research problems.
               convergence.    Absolute  and  conditional  convergence.  During  guided  learning  sessions,  students  are  also
               Rearrangement  of  series.    Topology  of the  real  line.  expected  to  critique,  analyse,  argue  logically  and  deduce
               Compactness. Properties of continuous functions.  Uniform  findings.  Each  group  is  required  to  produce  and  present
               continuity.    Derivative  of  a  function.    Properties  of  reports for the tasks given.
               differentiable  functions.    Mean  Value  Theorems.    Higher
               order derivatives.  L’Hospital’s Rules.         Assessment:
                                                               Participation in discussion,
               Assessment:                                     Communication & Presentation:  25%
               Continuous Assessment:       40%                Peer Review:               10%
               Final Examination:           60%                Teamwork & Ethics:         15%
                                                               Project Report:            50%
               Medium of Instruction:
               English                                         Medium of Instruction:
                                                               English
               Humanity Skill:
               CS3, CT3, LL2                                   Humanity Skill:
                                                               CS4, TS3, LL2, EM2, LS2


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