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