MATH13217 - Linear Algebra and Vectors

General Information

Unit Synopsis

The unit covers topics in linear algebra, vectors and complex numbers. You will study matrices and operations, systems of linear equations, and different techniques to solve linear systems. You will also study vectors and operations in the 2D plane and 3D space, and applications in scientific analysis and modelling. Complex numbers and applications will be investigated in this unit too. A focus of this unit is to link linear algebra, vectors and complex numbers to contexts in science and engineering subjects in schools.

Details

Level Undergraduate
Unit Level 3
Credit Points 6
Student Contribution Band SCA Band 1
Fraction of Full-Time Student Load 0.125
Pre-requisites or Co-requisites

Prerequisite: MATH12224 

Anti-requisite: MATH12172

Important note: Students enrolled in a subsequent unit who failed their pre-requisite unit, should drop the subsequent unit before the census date or within 10 working days of Fail grade notification. Students who do not drop the unit in this timeframe cannot later drop the unit without academic and financial liability. See details in the Assessment Policy and Procedure (Higher Education Coursework).

Class Timetable View Unit Timetable
Residential School No Residential School

Unit Availabilities from Term 1 - 2024

Term 1 - 2024 Profile
Online
Term 1 - 2025 Profile
Online

Attendance Requirements

All on-campus students are expected to attend scheduled classes - in some units, these classes are identified as a mandatory (pass/fail) component and attendance is compulsory. International students, on a student visa, must maintain a full time study load and meet both attendance and academic progress requirements in each study period (satisfactory attendance for International students is defined as maintaining at least an 80% attendance record).

Assessment Overview

Recommended Student Time Commitment

Each 6-credit Undergraduate unit at CQUniversity requires an overall time commitment of an average of 12.5 hours of study per week, making a total of 150 hours for the unit.

Assessment Tasks

Assessment Task Weighting
1. Written Assessment 25%
2. Written Assessment 25%
3. Examination 50%

This is a graded unit: your overall grade will be calculated from the marks or grades for each assessment task, based on the relative weightings shown in the table above. You must obtain an overall mark for the unit of at least 50%, or an overall grade of ‘pass’ in order to pass the unit. If any ‘pass/fail’ tasks are shown in the table above they must also be completed successfully (‘pass’ grade). You must also meet any minimum mark requirements specified for a particular assessment task, as detailed in the ‘assessment task’ section (note that in some instances, the minimum mark for a task may be greater than 50%).

Consult the University's Grades and Results Policy for more details of interim results and final grades

Past Exams

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Previous Feedback

Term 1 - 2024 : The overall satisfaction for students in the last offering of this course was 100.00% (`Agree` and `Strongly Agree` responses), based on a 20% response rate.

Feedback, Recommendations and Responses

Every unit is reviewed for enhancement each year. At the most recent review, the following staff and student feedback items were identified and recommendations were made.

Source: Unit evaluation
Feedback
Students were pleased with all aspects of the unit.
Recommendation
Continue to offer a positive supported learning experience.
Action Taken
The learning and teaching practices have been maintained.
Source: Unit evaluation
Feedback
Unit content is aligned to the Australian curriculum with relevance for students' future teaching career.
Recommendation
Continue to ensure unit content matches the latest Australian mathematics curriculum standards.
Action Taken
Continue to update the unit based on Queensland senior mathematics curriculum.
Source: Discipline Leader (Mathematics and Statistics)
Feedback
Update the unit Moodle site.
Recommendation
Add detailed weekly study instructions and supporting resources to the unit Moodle site.
Action Taken
This is an on-going task.
Source: Unit evaluation
Feedback
Students were pleased with all aspects of the unit.
Recommendation
The learning and teaching practices have been maintained.
Action Taken
In Progress
Source: Unit Coordinator
Feedback
Some students find it hard to recall and apply the assumed knowledge, from prior mathematics studies, to the topics covered in this unit.
Recommendation
Remind the students frequently during the lectures to review previously studied mathematics units and other math topics to bridge knowledge gaps.
Action Taken
In Progress
Unit learning Outcomes

On successful completion of this unit, you will be able to:

  1. Represent and solve mathematical and scientific problems using matrices and matrix operators
  2. Solve systems of linear equations using different techniques of linear algebra
  3. Analyse geometric relationships and kinematic behaviours of motion using vectors
  4. Solve geometric and scientific problems using complex numbers
  5. Communicate results, concepts and ideas in context using mathematics as a language.

Alignment of Assessment Tasks to Learning Outcomes
Assessment Tasks Learning Outcomes
1 2 3 4 5
1 - Written Assessment • • •
2 - Written Assessment • • •
3 - Examination • • • •
Alignment of Graduate Attributes to Learning Outcomes
• Introductory Level
• Intermediate Level
• Graduate Level
Graduate Attributes Learning Outcomes
1 2 3 4 5
1 - Communication • • • • •
2 - Problem Solving • • • • •
3 - Critical Thinking • • • • •
4 - Information Literacy • • • • •
6 - Information Technology Competence • • • • •
Alignment of Assessment Tasks to Graduate Attributes
• Introductory Level
• Intermediate Level
• Graduate Level
Assessment Tasks Graduate Attributes
1 2 3 4 5 6 7 8 9 10