School of Computing prospectus 2012 - Walter Sisulu University

Descriptive Statistics, Probability & Distribution Theory
Module Code Module Name NQF Level Credits Semester
STA1101 Descriptive Statistics, Probability
& Distribution Theory
Lectures per week Pracs per week Tutorials
per week
23
5 16 1
4 x 50 min 1 x 100 min 13
Number
of weeks
Notional
hours
Content / Syllabus Data analysis and Descriptive Statistics
Different kinds of variables and measurement scales. Construction and Graphical
presentation of frequency distributions. Cumulative frequency; the ogive and
percentiles. Measures of central tendency; the Mean, Median and Mode.
Measures of Spread; Mean Deviation, the Standard Deviation and the Quartile
Deviation.
Probability Distributions
Introduction to the concept of probability. Counting techniques, Baye’s theorem.
Discrete probability distributions, including the Bernoulli, the Binomial, Poisson,
Hyper-geometric, and Negative Binomial. Continuous Probability distributions
including the Uniform, the Gamma, the Beta and the Chi-Square distributions,
the Normal distribution.
Assessment Year mark (DP) will be obtained assessments based on assignments and tests.
Final mark will be obtained from the Year Mark (DP) x 40% + Exam Mark x 60%.
Eigen-Value Problems and Fourier Analysis
Module Code Module Name NQF Level Credits Semester
APM2201 Eigen-Value Problems and Fourier
Analysis
Lectures per week Pracs per week Tutorials
per week
6 16 1
4 x 50 min 2 x 50 min 13
Number
of weeks
Notional
hours
Content / Syllabus Fourier Series: Orthogonality & Normality (Orthonomality) of trigonometric
functions, Odd & Even functions, Trigonometric series: Full range & Half range
Fourier Series, Parseval Identity. Partial Differential Equations: How initial &
boundary value problem relate to (PDEs),Wave Equation, Heat Equation, Laplace
Equation, How the separation of variables technique leads (in the simplest
examples) to Fourier Series. Eigenvalue Problems: Sturm-Liouville Equation
eigenfuctions & corresponding eigenvalues of Sturm-Liouville problem, Sturm-
Liouville problem for equation y¢¢+ly =0 (eigenvalues & eigenfunctions),
Orthogonality of Sturm-Liouville eigenfunctions, Series solution Ordinary
Differential Equations: Bessel, Legendre, Hermite and associated functions,
Solution of Bessell Equation, recurrence relations, Solution of Legendre equation:
Legendre polynomials & Rodrigues formulae, Green formulae and application to
Laplace equation, Vibration of rectangular & circular membrane, Fourier integral
& transformation
Assessment Year mark (DP) will be obtained assessments based on assignments and tests.
Final mark will be obtained from the Year Mark (DP) x 40% + Exam Mark x
60%.
2012
PROSPECTUS