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Faculty of Science Handbook, Session 2019/2020

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2. Mann, P. S. (2010). Introductory statistics (7 ed.).
New York: Wiley.
COMPUTER FACILITIES 3. Johnson, R., & Kuby, P. (2011). Elementary statistics
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(11 ed.). Boston: Cengage Learning.
Currently, ISM has a computer lab equipped with 10
laptops, 17 workstations, 121 desktops, 3 laser printers, 1 SIM1001 BASIC MATHEMATICS
colour printer, and 4 heavy-duty dot matrix printers, all of
which being interconnected in a network system. The lab is Introductory logic. Mathematical statements. Quantifiers.
also equipped with 4 LCD projectors, 2 visualizers, and 3 Rules of inference. Mathematical induction, binomial
scanners. The lab utilizes state-of-the-art software such as theorem. Sets, Cartesian products, equivalence relations,
MATLAB (with various toolboxes), SPSS, Wolfram functions, bijections, inverse functions. Integers, rational
Mathematica, MathType, Minitab, Microsoft Visual C++, numbers, real numbers. Complex numbers. DeMoivre’s
Dev-C++, and S-PLUS. In addition, three of the lecture theorem and roots of unity. Polynomials and equations.
halls and tutorial rooms are each equipped with a LCD Remainder theorem, fundamental theorem of algebra,
projector and a visualizer. conjugate roots.

BACHELOR OF SCIENCE PROGRAMS Systems of linear equations, row reduction, echelon forms.
Matrix operations, algebraic properties of matrices,
Please refer to Program Structure for courses. inverses, elementary matrices, linear independence and
homogeneous linear systems, matrices with special forms.
FURTHER DEGREE Determinants, cofactor expansion, properties of
determinants, Cramer’s rule, eigenvalues, eigenvectors and
Apart from teaching and supervising at the bachelor’s level, diagonalization.
the staff members of the institute also supervise research
projects that lead to Master’s and doctorate degrees in the Assessment:
three branches of mathematics. 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 one’s mind to
manipulate information, to form accurate, complicated and Soft Skills:
abstract ideas and to enable one to discern complicated CTPS3, 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
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applications (4 ed.). Cengage Learning.
Since the use of mathematics is all encompassing in 2. Ensly, Douglas E., & Crawley, J.W. (2006). Discrete
human endeavour, a graduate’s 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 (2 ed.).
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research. Many graduates from this Institute have been Chapman & Hall.
employed in the financial sectors (banking, accountancy 4. Anton, H., & Rorres, C. (2005). Elementary linear
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and insurance for instance), management, business, algebra with applications (9 ed.). Wiley High
industry and computing sectors. Education Inc.
5. Larson, R., & Falvo D. (2012). Elementary linear
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algebra (7 ed.). Brooks/Cole Thomson Learning.
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 involving 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'Hôpital's Rule. Definite and indefinite integrals.
of Variance; Simple linear regression. 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
Soft Skills:
CS3, CTPS3 Soft Skills:
CTPS3, LL2
References:
1. Freedman, D., Pisani, R., & Purves, R. (2007). References:
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Statistics (4 ed.). New York: W.W. Norton. 1. Weir, Maurice D., & Hass. J. (2016). Thomas' calculus
(13 ed.) Pearson Educatio, Inc.
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