Page 118 - Handbook Bachelor Degree of Science Academic Session 20202021

Faculty of Science Handbook, Academic Session 2020/2021

COMPUTER FACILITIES SIM1001 BASIC MATHEMATICS

Currently, ISM has a computer lab equipped with 10 laptops, Introductory logic. Mathematical statements. Quantifiers.
17 workstations, 121 desktops, 3 laser printers, 1 colour Rules of inference. Mathematical induction, binomial
printer, and 4 heavy-duty dot matrix printers, all of which theorem. Sets, Cartesian products, equivalence relations,
being interconnected in a network system. The lab is also functions, bijections, inverse functions. Integers, rational
equipped with 4 LCD projectors, 2 visualizers, and 3 numbers, real numbers. Complex numbers. DeMoivre’s
scanners. The lab utilizes state-of-the-art software such as theorem and roots of unity. Polynomials and equations.
MATLAB (with various toolboxes), SPSS, Wolfram Remainder theorem, fundamental theorem of algebra,
Mathematica, MathType, Minitab, Microsoft Visual C++, conjugate roots.
Dev-C++, and S-PLUS. In addition, three of the lecture halls
and tutorial rooms are each equipped with a LCD projector Systems of linear equations, row reduction, echelon forms.
and a visualizer. Matrix operations, algebraic properties of matrices, inverses,
elementary matrices, linear independence and
BACHELOR OF SCIENCE PROGRAMS homogeneous linear systems, matrices with special forms.
Determinants, cofactor expansion, properties of
Please refer to Program Structure for courses. determinants, Cramer’s rule, eigenvalues, eigenvectors and
diagonalization.
FURTHER DEGREE
Assessment:
Apart from teaching and supervising at the bachelor’s level, Continuous Assessment: 40%
the staff members of the institute also supervise research Final Examination: 60%
projects that lead to Master’s and doctorate degrees in the
three branches of mathematics. Medium of Instruction:
English
JOB OPPORTUNITIES
Soft Skills:
The learning of mathematics will help increase one's skills in CTPS3, LL2
problem solving and analysis. It trains one’s mind to
manipulate information, to form accurate, complicated and References:
abstract ideas and to enable one to discern complicated 1. Epp, Sussana S. (2011). Discrete mathematics with
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arguments. The training to think quantitatively, logically and applications (4 ed.). Cengage Learning.
analytically in problem solving may prove valuable in one's 2. Ensley, Douglas E., & Crawley, J.W. (2006). Discrete
chosen career. mathematics. John Wiley and Sons.
3. Devlin, K. (1992). Sets, functions and logic (2 ed.).
nd
Since the use of mathematics is all encompassing in human Chapman & Hall.
endeavour, a graduate’s career opportunities are almost 4. Anton, H., & Rorres, C. (2005). Elementary linear
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limitless and not only confined to teaching and research. algebra with applications (9 ed.). Wiley High
Many graduates from this Institute have been employed in Education Inc.
the financial sectors (banking, accountancy and insurance 5. Larson, R., & Falvo D. (2012). Elementary linear
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for instance), management, business, industry and algebra (7 ed.). Brooks/Cole Thomson Learning.
computing sectors.
SIM1002 CALCULUS I
SYNOPSIS OF COURSES
Real numbers and real line. Inequality and absolute values.
SIX1004 STATISTICS (FACULTY OF SCIENCE) Functions and their graphs. Combining functions. Limits:
intuitive, limit laws, one-sided limits, limits involving infinity,
Introduction to statistical analysis; Experimental and epsilon-delta definition for limits. Continuity. Derivatives:
observational studies; Display and organization of data; tangent lines and definition for derivatives. Differentiation
Descriptive statistics; Population and samples; Sampling rules including the Chain Rule and implicit differentiation.
methods; Basic probability theory; Useful probability Rolle's Theorem, The Mean Value Theorem, maximum,
distributions: Binomial, Poisson and normal; Sampling minimum, concavity and points of inflection. Graph
distributions; Central Limit Theorem; Parameter estimation sketching. Logarithms, exponential functions. Indeterminate
and confidence intervals; Hypothesis testing for mean, forms and L'Hôpital's Rule. Definite and indefinite integrals.
proportion and association in one and two populations; Chi- Fundamental theorem of Calculus and differentiation of
squared tests and Fisher’s exact test; One factor Analysis of integrals. Integration methods.
Variance; Simple linear regression.
Assessment:
Assessment: Continuous Assessment: 40%
Continuous Assessment: 40% Final Examination: 60%
Final Examination: 60%
Medium of Instruction:
Medium of Instruction: English
English
Soft Skills:
Soft Skills: CTPS3, LL2
CS3, CTPS3
References:
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References: 1. Hass, Heil, Weir (2020). Thomas' Calculus (14 ed.)
1. Freedman, D., Pisani, R., & Purves, R. (2007). Pearson Education, Inc.
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Statistics (4 ed.). New York: W.W. Norton. 2. Stewart, J. (2015). Calculus (8 ed.). Cengage
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2. Mann, P. S. (2010). Introductory statistics (7 ed.). New Learning.
York: Wiley. 3. Adams, Robert A., & Essex, C. (2013). Calculus: A
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3. Johnson, R., & Kuby, P. (2011). Elementary statistics complete course (8 ed. With MyMathLab). Pearson
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(11 ed.). Boston: Cengage Learning. Education.
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