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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
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