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MATH12223 - Calculus and Linear Algebra A

General Information

Unit Synopsis

In this unit, you will study vectors, complex numbers, single variable differential calculus and linear algebra. Through a visual, verbal, numerical and algebraic approach, with particular focus on the practical power of calculus, you will develop a conceptual understanding of calculus and apply differentiation to solve problems in scientific engineering and other disciplines. You will use linear operations to determine the inverse and determinants of matrices. You will use vectors and complex numbers to solve relevant problems, formulate and apply functions and graphs in modelling applied mathematics problems. Other important elements of this unit are the communication of results, concepts and ideas using mathematics as a language.

Details

Level Undergraduate
Unit Level 2
Credit Points 6
Student Contribution Band SCA Band 1
Fraction of Full-Time Student Load 0.125
Pre-requisites or Co-requisites

Prerequisite: MATH11160 or MATH11246

Anti-Requisite: MATH11163

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 - 2021

Term 1 - 2021 Profile
Online
Rockhampton
Term 1 - 2022 Profile
Online
Rockhampton
Term 1 - 2023 Profile
Online
Term 1 - 2024 Profile
Online
Term 1 - 2025 Profile
Online
Term 1 - 2026 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

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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 Coordinator
Feedback
Some students find it hard to learn and apply the Calculus knowledge.
Recommendation
Remind the students frequently during lectures to review foundation mathematics topics to bridge knowledge gaps and introduce more practical examples in the lecture contents and tutorial materials.
Action Taken
Students were regularly reminded during lectures to review key foundation mathematics topics in order to address knowledge gaps. Additional examples were incorporated into the lecture content to strengthen students' understanding and application of the concepts.
Source: Student Unit Feedback
Feedback
Students were pleased with the organisation of the unit.
Recommendation
Continue with the current learning and teaching practices.
Action Taken
In Progress
Source: Student Unit Feedback
Feedback
Most students found the mathematics study to be both challenging and enjoyable.
Recommendation
Continue to provide a positive and supportive learning experience.
Action Taken
In Progress
Source: Unit Coordinator's Reflections
Feedback
Insufficient stronger links between unit content and its relevance to real-world contexts and career opportunities.
Recommendation
Consider using real-world use cases to highlight the applied aspect of the unit content.
Action Taken
In Progress
Unit learning Outcomes

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

  1. Solve problems requiring the use of vectors and complex numbers
  2. Apply linear operations to determine the inverse and determinants of matrices
  3. Formulate and apply functions and graphs in modelling applied mathematics problems
  4. Solve problems using the concepts of limit, continuity and derivative, and rules of differentiation of functions
  5. Determine solutions to problems involving rates of change, optimisation and approximate computation through differentiation
  6. 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 6
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 6
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 10
1 - Written Assessment • • • • • •
2 - Written Assessment • • • • • •
3 - Examination • • • • • •