Fisrt year Statistics modules – Department Of Mathematical Sciences

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First Year Statistics Modules

Title	Elementary Statistics for Science students
Code	SSTT111	Department	Mathematical Sciences
Prerequisites	None	Co-requisites	None
Aim	To introduce elementary concepts of descriptive and inferential statistics to science students.
Content	Types of data; Basic sampling techniques; Frequency distributions; Graphical data summaries – various charts, dot-plots, stem-and-leaf, histograms, polygons, and ogives; Numerical data summaries – measures of location, spread, relative position; Boxplots; Sample space, events, and operations; Counting techniques; Probability versus relative frequency; Laws of probability; Conditional probability; Independent events; Bayes’ theorem; Discrete random variables; Probability mass functions and cumulative distribution functions; Moments of discrete random variables; Special discrete distributions; The normal distribution; Single-sample hypothesis tests for means, variances, and proportions; Single-sample confidence intervals for means, variances, and proportions; Two-sample hypothesis tests for means, variances, and proportions; Two-sample confidence intervals for means, variances, and proportions; The p-value; Contingency tables and the test for independence; Scatterplots, simple linear regression, correlation, and hypothesis tests for the intercept and slope
Assessment	40% Continuous Assessment Mark 60% Formal end of module exam (3 hours)
DP Requirement	40% Continuous Assessment Mark 80% Attendance at lectures and tutorials.

Title	Statistics for Science students
Code	SSTT112	Department	Mathematical Sciences
Prerequisites	None	Co-requisites	SMTH111, SMTH112, SSTT111
Aim	To introduce students to sets, probability spaces, random variables, and discrete distributions.
Content	Counting techniques continued; Sets revisited – fields, sigma fields; Probability –events, axioms, operations, conditional- and independence, Bayes’ Theorem; Discrete random variables – probability mass functions, cumulative distribution functions, moments; Discrete bivariate distributions – marginal distributions, and conditional distributions; Linear functions of a discrete random variable; Independent random variables; Special discrete random variables.
Assessment	40% Continuous Assessment Mark 60% Formal end of module exam (3 hours)
DP Requirement	40% Continuous Assessment Mark 80% Attendance at lectures and tutorials.

The department also offers two elementary first year statistics modules for students from the Faculty of Commerce and Administration.

Title	Mathematics and Statistics for Commerce
Code	SSTT121	Department	Mathematical Sciences
Prerequisites	None	Co-requisites	None
Aim	To introduce mathematics used in the field of commerce and to explore some aspects of Financial Mathematics
Content	Fractions and decimals – addition, multiplication, division, and subtraction; Exponential and logarithmic functions; Graphs – axes, scale, coordinates, straight lines, and intersections; Elementary interest – simple interest, compound interest, present and future values, changing interest rates; Annuities – ordinary annuity due, ordinary annuity certain, and deferred annuities; Index numbers – simple- and compound index numbers, important indices, rate of change, and inflation; Introduction to time series – moving averages and seasonal adjustments.
Assessment	40% Continuous Assessment Mark 60% Formal end of module exam (3 hours)
DP Requirement	40% Continuous Assessment Mark 80% Attendance at lectures and tutorials.

Title	Elementary Statistics for Commerce Students
Code	SSTT111	Department	Mathematical Sciences
Prerequisites	None	Co-requisites	None
Aim	To introduce elementary concepts of descriptive and inferential statistics to science students.
Content	Types of data; Basic sampling techniques; Frequency distributions; Graphical data summaries – various charts, dot-plots, stem-and-leaf, histograms, polygons, and ogives; Numerical data summaries – measures of location, spread, relative position; Boxplots; Sample space, events, and operations; Counting techniques; Probability versus relative frequency; Laws of probability; Conditional probability; Independent events; Bayes’ theorem; Discrete random variables; Probability mass functions and cumulative distribution functions; Moments of discrete random variables; Special discrete distributions; The normal distribution; Single-sample hypothesis tests for means, variances, and proportions; Single-sample confidence intervals for means, variances, and proportions; Two-sample hypothesis tests for means, variances, and proportions; Two-sample confidence intervals for means, variances, and proportions; The p-value; Contingency tables and the test for independence; Scatterplots, simple linear regression, correlation, and hypothesis tests for the intercept and slope.
Assessment	40% Continuous Assessment Mark 60% Formal end of module exam (3 hours)
DP Requirement	40% Continuous Assessment Mark 80% Attendance at lectures and tutorials.