Subject description
MATH203 is one of four core 200 level Mathematics subjects. The study of systems of linear equations and symmetries of equations is is important not only to mathematicians but also to scientists and engineers. Study of these systems is done theoretically with geometrical interpretations given. The subject builds on students' … For more content click the Read More button below.
Enrolment rules
Pre-Requisite
Equivalence
MTH8203 - Linear Algebra and Groups
Tutorial enrolment
Students can enrol online via the Tutorial Enrolment link in SOLS
Delivery
To view information specific to your campus, click on Select availability in the top right of screen and choose from the campus, delivery mode and session options.
Teaching staff
Subject coordinators
Lecturers
Engagement hours
Contact Hours:1 x 2 hour lecture, 1 x 1 hour lecture, 1 hour tutorial
Learning outcomes
On successful completion of this subject, students will be able to:
1.
Identify vector spaces and subspaces of vector spaces and find bases for them;
2.
Relate row and column spaces and null spaces to the solution of Ax- = b- and be able to discern relationships between the solution x- of a linear system and its coefficient matrix;
3.
Determine whether transformations are linear and perform simple geometry of linear transformations in R2;
4.
Diagonalise square matrices; and by performing a change of variables, identify the graphs of conic sections
5.
Define and use the fundamental concepts from group theory;
6.
Apply fundamental definitions and concepts of group theory to groups with special properties and small finite groups.
Assessment details
Assignments
Quizzes
Mid-Session Exam
End of Session 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.
Textbook information
No prescribed textbooks for this subject.