Page 152 - FINAL_HANDBOOK_20242025

Faculty of Science Handbook, Academic Session 2024/2025

SYNOPSIS OF COURSES Complex numbers. De Moivre’s
theorem and roots of unity.
SIX1016 Polynomials and equations.
STATISTICS (FACULTY OF Remainder theorem,
SCIENCE) fundamental theorem of
algebra, conjugate roots.
Introduction to statistics;
Experimental and Systems of linear equations,
observational studies; Display row reduction, echelon forms.
and organisation of data; Matrix operations, algebraic
Descriptive statistics; properties of matrices,
Population and samples; inverses, elementary matrices,
Sampling methods; Basic linear independence and
probability theory; Useful homogeneous linear systems,
probability distributions: matrices with special forms.
binomial, Poisson and normal; Determinants, cofactor
Sampling distributions; Central expansion, properties of
Limit Theorem; Point determinants, Cramer’s rule,
estimation and confidence eigenvalues, eigenvectors, and
interval; Hypothesis testing for diagonalization.
mean and proportion in one
and two populations; Chi- Assessment:
square tests; Simple linear Continuous Assessment: 40%
regression and correlation Final Examination: 60%
analysis.

Assessment: SIM1002
Continuous Assessment:100% CALCULUS I

Functions and their graphs,
SIM1001 combining functions,
BASIC MATHEMATICS trigonometric functions. Rate of
change and tangent lines to
Introductory logic. curves, limits of functions and
Mathematical statements. limit laws, the precise definition
Quantifiers. Rules of inference. of a limit, one-sided limits,
Mathematical induction, continuity, limits involving
binomial theorem. Sets, infinity and asymptotes of
Cartesian products, graphs. Tangent lines and the
equivalence relations, derivative at a point, the
functions, bijections, inverse derivative as a function,
functions. Integers, rational differentiation rules, derivatives
numbers, real numbers. of trigonometric functions, the

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