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

As is common in Mathematics a variety of Active Learning approaches promote the best acquisition of skills and understanding. Lectures will typically be structured to provide explanations of the material to be covered, along with examples of the applications of that material, as well as formal and informal tasks for students that will reinforce that learning. Splitting the taught content of the lectures into short topics will ensure increased student engagement with the material, as well as providing opportunities for students to consolidate their learning before new material is covered. 

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 expected to submit written responses to questions involving core mathematical concepts, methods, and problem-solving strategies. In all cases this should be supported using available online technology.