Learning outcomes

To successfully complete this unit you will be able to demonstrate you have achieved the learning outcomes (LO) detailed in the below table.

Each outcome is informed by a number of graduate capabilities (GC) to ensure your work in this, and every unit, is part of a larger goal of graduating from ACU with the attributes of insight, empathy, imagination and impact.

Explore the graduate capabilities.

Content

Topics will include: 

1. Matrices – definitions and arithmetic 
2. Systems of linear equations and the use of matrices in their solution 
3. Other matrix operations (determinant and inverse) and transformations of the plane 
4. Logic and the basic techniques of proof
5. Proof, including mathematical induction
6. Introduction to vectors, arithmetic and basic properties 
7. Scalar product, equation of lines and planes, vector geometry, cross product 
8. Introduction to graphs (networks) and their applications 
9. Solving polynomial equations – introduction to complex numbers and their arithmetic 
10. Complex numbers – Argand plane, polar representation 

Learning and teaching strategy and rationale

Multi-mode:

The teaching approach within this unit puts the student at the centre of their learning. This is achieved by using an approach that integrates asynchronous interactive online elements with learning experiences and practical exercises that facilitate problem solving and peer collaboration. This allows students to learn the skills and then build understanding, competence and confidence through tutorials that ideally occur face to face. Face-to-face learning supports immediate feedback, peer interaction, and collaborative problem-solving, essential elements in developing mathematical thinking, while also enabling tutors to identify and address misconceptions early. Continuous formative learning opportunities allow for the early detection of problems a student might be having and ensures that appropriate guidance can be given early enough to support later learning in the unit. Students will be required to submit responses to questions dealing with simple problems in calculus. In all cases this should be supported using available online technology.

Online Unscheduled Delivery:

The teaching approach within this unit puts the student at the centre of their learning. This is achieved by using an approach that integrates asynchronous interactive online elements with learning experiences and practical exercises that facilitate problem solving and peer collaboration. Access to fundamental knowledge is provided through online resources that enable students to build their understandings in a flexible manner. Students are given the opportunity to build upon this knowledge through social learning experiences conducted through practical activities online. These opportunities enable students to build more complex understandings through peer interactions and structured learning experiences. This approach allows students to develop problem solving skills which align to vocational requirements and underpin further study.