School of Computing prospectus 2012 - Walter Sisulu University

Content / Syllabus Sets, definitions, examples, operations on sets, complementation and
DeMorgan’s laws. The real number system, graphs of linear, quadratic,
polynomial and rational functions, exponential and logarithmic functions,
trigonometric functions, inequalities. Linear systems. Limits, continuity and
differentiability of functions of a single variable, curve sketching, maxima and
minima, mean value theorems, indeterminate forms.
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%.
Precalculus & Calculus II
Module Code Module Name NQF Level Credits Semester
MAT1201 Precalculus & Calculus II 5 16 2
Lectures per week Pracs per week Tutorials
per week
4 x 50 min 1 x 100 min 13
37
Number
of
weeks
Notional
hours
Content / Syllabus Mathematical induction, permutations and combinations, binomial theorem,
complex numbers and polar coordinates. Introduction to integration,
integration of simple functions, fundamental theorem of integral calculus.
Further techniques of integration, introduction to series and sequences, power
series and Taylor polynomials and Taylor’s theorem, introduction to differential
equations (ordinary differential equations of first order).
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%.
Probability & Distributions II
Module Code Module Name NQF Level Credits Semester
STA2101 Probability & Distributions II 6 16 1
Lectures per week Pracs per week Tutorials
per week
4 x 50 min 1 x 100 min 13
Number
of
weeks
Notional
hours
Content / Syllabus Combinatorial analysis, axioms of probability, conditional probability and
stochastic independence. Introduction to the concept of a random variable.
More detailed treatment of discrete probability distribution, Introduction to
mathematical expectation and moment generating functions, Jointly distributed
random variables, independent random variables, marginal and conditional
distributions. The bivariate normal distribution, Functions of random variables;
sums of random variables, The central limit theorem. Chebychev’s inequality,
De-Moivre-Laplace theorem. Poisson approximation to the binomial 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%.
2012
PROSPECTUS