Page 40 - tmp

Faculty of Science Handbook, Session 2017/2018

COMPUTER FACILITIES References:
1. Freedman, D., Pisani, R. & Purves, R. (2007).
To date the Institute has a computer lab equipped with 10 Statistics (4th ed.). New York: W.W. Norton.
laptops, 17 workstations, 101 unit computers, 3 laser 2. Mann, P. S. (2010). Introductory Statistics (7th ed.).
printers, 1 colour printer, 4 heavy duty dot matrix printers, New York: Wiley.
all interconnected in a network system. The lab is also 3. Johnson, R. & Kuby, P. (2011). Elementary Statistics
equipped with 4 LCD projectors, 1 visualizer, and 3 (11th ed.). Boston: Cengage Learning.
scanners. The lab utilizes state of the art software such as
Matlab (with various Toolboxes), SPSS (Latest version)
Mathematica v6, Math Type v5.2, Minitab R14, Visual C++, SIM1001 BASIC MATHEMATICS
DEV C++, S-PLUS v8, Scientific Word 5.5, PcTeX 32 and
Math CAd v13. In addition, three of the lecture halls and Introductory logic. Mathematical statements. Quantifiers.
Tutorial rooms are equipped with a LCD projector and a Rules of inference. Mathematical induction, binomial
visualizer each. theorem. Sets, Cartesian products, equivalence relations,
functions, bijections, inverse functions. Integers, rational
numbers, real numbers. Complex numbers. DeMoivre’s
BACHELOR OF SCIENCE PROGRAMS theorem and roots of unity. Polynomials and equations.
Remainder theorem, fundamental theorem of algebra,
Please refer to Program Structure for courses. conjugate roots.
Systems of linear equations, row reduction, echelon forms.
FURTHER DEGREE Matrix operations, algebraic properties of matrices,
inverses, elementary matrices, linear independence and
Apart from teaching and supervising in the Bachelors level, homogeneous linear systems, matrices with special forms.
the staff of the Institute also supervise research projects Determinants, cofactor expansion, properties of
that lead to Masters and Doctorate degrees in the three determinants, Cramer’s rule, eigenvalues, eigenvectors and
branches of mathematics. diagonalization.
The modes for further degree programs at the Institute are Assessment:
by research with dissertation or theses. Continuous Assessment: 40%
Final Examination: 60%
JOB OPPORTUNITIES
Medium of Instruction:
The learning of mathematics will help increase one's skills English
in problem solving and analysis. It trains the mind to
manipulate information, to form accurate, complicated and Humanity Skill:
abstract ideas and to enable one to discern complicated CT3, LL2
arguments. The training to think quantitatively, logically and
analytically in problem solving may prove valuable in one's References:
chosen career. 1. Epp, Sussana S. (2011). Discrete Mathematics with
applications, 4 edition, Cengage Learning.
th
Since the use of mathematics is all encompassing in 2. Ensly, Douglas E. and Crawley, J.W. (2006). Discrete
human endeavour, a graduate career opportunities are Mathematics. John Wiley and Sons.
almost limitless and not only confined to teaching and 3. Devlin, K. (1992). Sets, Functions and Logic,
nd
research. Many graduates from this Institute have found Chapman & Hall (2 edition).
employment in the financial sectors (banking, accountancy 4. Anton, H., Rorres, C. (2005). Elementary Linear
and insurance for instance), management, business, Algebra with Applications, Wiley High Education Inc
industry and computing sectors. (9th edition).
5. Larson, R. and Falvo D. (2012). Elementary Linear
Algebra. Brooks/Cole Thomson Learning (7 edition).
th
SYNOPSIS OF COURSES
SIM1002 CALCULUS I
SIX1004 STATISTICS (FACULTY OF SCIENCE)
Real numbers and real line. Inequality and absolute values.
Introduction to statistical analysis; Experimental and Functions and their graphs. Combining Functions. Limits:
observational studies; Display and organization of data; Intuitive, limit laws, one-sided limits, limits involve infinity,
Descriptive statistics; Population and samples; Sampling epsilon-delta definition for limits. Continuity. Derivatives:
methods; Basic probability theory; Useful probability tangent lines and definition for derivatives. Differentiation
distributions: Binomial, Poisson and normal; Sampling Rules including the Chain Rule and implicit differentiation.
distributions; Central Limit Theorem; Parameter estimation Rolle's Theorem, The Mean Value Theorem, Maximum,
and confidence intervals; Hypothesis testing for mean, minimum, concavity and points of inflection. Graph
proportion and association in one and two populations; Chi- sketching. Logarithms, exponential functions. Indeterminate
squared tests and Fisher’s exact test; One factor Analysis forms and L'Hospital's Rule. Definite and indefinite
of Variance; Simple linear regression. integrals. Fundamental theorem of Calculus and
differentiation of integrals. Integration methods.
Assessment:
Continuous Assessment: 40% Assessment:
Final Examination: 60% Continuous Assessment: 40%
Final Examination: 60%
Medium of Instruction:
English Medium of Instruction:
English
Humanity Skill:
CS3, CT3

38