Subject description
This subject provides key mathematical and statistical knowledge and skills for students in both computer science and information technology. The subject is split into two strands, namely Discrete Mathematics and Data Analysis.
In the discrete mathematics strand students will develop basic skills in propositional logic, predicate logic, formal proof, set … For more content click the Read More button below.
The data analysis strand focuses on knowledge to support analysis in the IT workplace. It begins with a review of fundamental probability, followed by exploratory data analysis for univariate data, leading into correlation and simple linear regression for bivariate data. Study continues with discrete probability distributions including binomial and Poisson; and continuous probability distributions including the normal and exponential. Final topics include sampling distributions, an introduction to confidence intervals and hypothesis testing for means and proportions. These topics will be taught with appropriate statistical computing software.
Equivalence
STAT101 - Introduction to Statistics
MATH123 - Discrete Mathematics and Difference Equations
Delivery
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Learning outcomes
On successful completion of this subject, students will be able to:
1.
Construct truth tables for logical expressions, test statements for logical equivalence and represent mathematical statements in the language of predicate logic.
2.
Use appropriate methods of proof to derive results in set theory, number theory and the elementary theory of relations and functions.
3.
Define the basic elements of graph theory, and apply these in analysing types of graphs.
4.
Demonstrate knowledge of the basics of probability theory, including Bayes’ rule.
5.
Conduct exploratory data analysis and interpret the results.
6.
Demonstrate knowledge and application of probability distributions.
7.
Select and apply appropriate statistical techniques, including linear regression and and introductory hypothesis testing, with interpretation of results.
Assessment details
Tutorial Preparation
Quizzes
Discrete Exam
Assignments
Data Analysis Exam
Work integrated learning
Foundational WIL:This subject contains elements of "Foundational WIL". Students in this subject will observe, explore or reflect on possible career pathways or a work-related aspect of their discipline.