Page 42 - handbook 20162017
P. 42

Faculty of Science Handbook, Session 2016/2017



                             RESEARCH AREAS                    squared tests and Fisher’s exact test; One factor Analysis
                                                               of Variance; Simple linear regression.
               Research  areas  in  the  Institute  of  Mathematical  Sciences
               include:                                        Assessment:
                                                               Continuous Assessment:       40%
               Group theory, ring theory, multilinear algebra, graph theory,  Final Examination:  60%
               combinatorial  graph  theory,  supply  chain  management,
               operations  research,  numerical  analysis,  robust  statistics,  Medium of Instruction:
               probability distribution theory, nonlinear time series, image  English
               processing and regression analysis.
                                                               Humanity Skill:
                                                               CS3, CT3
                           COMPUTER FACILITIES
                                                               References:
               To  date  the Institute  has  a computer  lab  equipped  with  6  1.  Freedman,  D.,  Pisani,  R.  &  Purves,  R.  (2007).
               tablet  PCs,  10  laptops,  2  workstations,  90  Pentium  IV  Statistics (4th ed.). New York: W.W. Norton.
               computers, 3 laser printers, 1 colour printer, 4 heavy duty  2.  Mann,  P.  S.  (2010).  Introductory  Statistics  (7th  ed.).
               dot matrix printers, all interconnected in a network system.  New York: Wiley.
               The  lab  is  also  equipped  with  5  LCD  projectors,  1  3.  Johnson, R. & Kuby, P. (2011). Elementary Statistics
               visualizer, and 2 scanners. The lab utilizes state of the art  (11th ed.).Boston: Cengage Learning.
               software  such  as  Matlab  (with  various  Toolboxes),
               Mathematica v6, Math Type v5.2, Minitab R14, Visual C++,
               S-PLUS v8, Scientific Word 5.5, PcTeX 32 and Math CAd  SIM1001  BASIC MATHEMATICS
               v13. In addition, three of the lecture halls are equipped with
               a LCD projector and a visualizer each.          Introductory  logic.  Mathematical  statements.  Quantifiers.
                                                               Rules of  inference.  Mathematical  induction,  binomial
                                                               theorem.  Sets,  Cartesian  products,  equivalence  relations,
                      BACHELOR OF SCIENCE PROGRAMS             functions,  bijections,  inverse  functions.  Integers,  rational
                                                               numbers,  real  numbers.  Complex  numbers.  DeMoivre’s
               Please refer to Program Structure for courses.  theorem  and  roots  of  unity.  Polynomials  and  equations.
                                                               Remainder  theorem,  fundamental  theorem  of  algebra,
                                                               conjugate roots.
                             FURTHER DEGREE
                                                               Systems of linear equations, row reduction, echelon forms.
               Apart from teaching and supervising in the Bachelors level,  Matrix  operations,  algebraic  properties  of  matrices,
               the  staff  of  the  Institute  also  supervise  research projects  inverses,  elementary  matrices,  linear  independence  and
               that  lead  to  Masters  and  Doctorate  degrees  in  the  three  homogeneous linear systems, matrices with special forms.
               branches of mathematics.                        Determinants,   cofactor   expansion,   properties   of
                                                               determinants, Cramer’s rule, eigenvalues, eigenvectors and
               The modes for further degree programs at the Institute are  diagonalization.
               by research with dissertation or theses.
                                                               Assessment:
                            JOB OPPORTUNITIES                  Continuous Assessment:       40%
                                                               Final Examination:           60%
               The learning of mathematics will help increase one's skills
               in  problem  solving  and  analysis.  It  trains  the  mind  to  Medium of Instruction:
               manipulate information, to form accurate, complicated and  English
               abstract  ideas  and  to  enable  one  to  discern  complicated
               arguments. The training to think quantitatively, logically and  Humanity Skill:
               analytically in problem solving may prove valuable in one's  CT3, LL2
               chosen career.
                                                               References:
               Since  the  use  of  mathematics  is  all  encompassing  in  1.  Epp,  Sussana  S.  (2011).  Discrete  Mathematics  with
               human  endeavour,  a  graduate  career  opportunities  are  applications, 4 edition, Cengage Learning.
                                                                             th
               almost  limitless  and  not  only  confined  to  teaching  and  2.  Ensly, Douglas E. and Crawley, J.W. (2006). Discrete
               research.  Many  graduates  from  this  Institute  have  found  Mathematics. John Wiley and Sons.
               employment in the financial sectors (banking, accountancy  3.  Devlin,  K.  (1992).  Sets,  Functions  and  Logic,
               and  insurance  for  instance),  management,  business,  Chapman & Hall (2 edition).
                                                                                 nd
               industry and computing sectors.                 4.  Anton,  H.,  Rorres,  C.  (2005). Elementary  Linear
                                                                   Algebra  with  Applications, Wiley  High  Education Inc
                                                                   (9th edition).
                                                               5.  Larson,  R.  and  Falvo  D.  (2012).  Elementary  Linear
                           SYNOPSIS OF COURSES                     Algebra. Brooks/Cole Thomson Learning (7 edition).
                                                                                                  th
               SIX1004  STATISTICS (FACULTY OF SCIENCE)
                                                               SIM1002  CALCULUS  I
               Introduction  to  statistical  analysis;  Experimental  and
               observational  studies;  Display  and  organization  of  data;  Real numbers and real line. Inequality and absolute values.
               Descriptive  statistics;  Population  and  samples;  Sampling  Functions  and  their  graphs.  Combining  Functions.  Limits:
               methods;  Basic  probability  theory;  Useful  probability  Intuitive,  limit  laws,  one-sided  limits,  limits  involve  infinity,
               distributions:  Binomial,  Poisson  and  normal;  Sampling  epsilon-delta  definition  for  limits.  Continuity.    Derivatives:
               distributions; Central Limit Theorem; Parameter estimation  tangent  lines  and  definition  for  derivatives.  Differentiation
               and  confidence  intervals;  Hypothesis  testing  for  mean,  Rules including the Chain Rule and implicit differentiation.
               proportion and association in one and two populations; Chi-  Rolle's  Theorem,  The  Mean  Value  Theorem,  Maximum,
                                                               minimum,  concavity  and  points  of  inflection.  Graph


                                                            38
   37   38   39   40   41   42   43   44   45   46   47