MATH12224 - Calculus and Linear Algebra B

General Information

Unit Synopsis

The unit covers topics in single variable integral calculus and linear algebra. The fundamental theorem of calculus is studied as well as various techniques for evaluating integrals like the substitution rule, integration by parts, trigonometric substitution, and various numerical approximations. A number of applications of integral calculus are investigated including finding the area between curves, the volume of solids and cylindrical shells, the length of a curve, the average value of a function, as well as applications in physics and engineering. Modelling real world problems with differential equations is studied along with techniques for solving first order differential equations using direction fields and Euler’s method, or using methods for separable equations. The use of differential equations to formulate exponential and logistic models of various growth and decay processes is also investigated. Matrices are revisited with particular focus on the determinant of a matrix and how it can be used to solve linear systems of equations. Finally, infinite sequences and series are studied along with methods of determining if they converge or diverge. The use of power series to integrate and differentiate functions is investigated with particular emphasis on the Taylor and Maclaurin series representation of a function. Mathematical software is also used to analyse and solve most problems studied in the unit. Note: If you have completed unit MATH11164 then you cannot take this unit.

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: MATH12223 Calculus and Linear Algebra A

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 2 - 2021

Term 2 - 2021 Profile
Online
Rockhampton
Term 2 - 2022 Profile
Online
Rockhampton

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

This information will not be available until 8 weeks before term.
To see assessment details from an earlier availability, please search via a previous term.

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 2 - 2020 : The overall satisfaction for students in the last offering of this course was 4.5 (on a 5 point Likert scale), based on a 24% 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: Student evaluation
Feedback
Another practice exam would be benefical.
Recommendation
Two practice exam papers have already been provided. The 2019 Standard Exam paper will be included as an additional 'practice exam' in 2020. This stock of practice exam papers will grow annually.
Action Taken
Due to COVID-19, a take-home exam replaced the final exam. A new practice exam paper for the take-home exam was provided to students.
Source: Student evaluation
Feedback
Students appreciated the comparison between University mathematics units and the modern senior school mathematics syllabus that helped to contextualise coursework.
Recommendation
Continue this practice.
Action Taken
Good practice continued.
Source: Student evaluation
Feedback
Sufficient explanation and worked examples helped students in understanding and learning mathematics.
Recommendation
Continue this practice.
Action Taken
Good practice continued.
Source: Student feedback from the unit evaluation
Feedback
Students commented very favorably upon the lecturing approach; provision of instructional videos; availability of supporting learning materials; the level of support provided by staff; and prompt attention to queries.
Recommendation
Continue to offer a positive, supported learning experience.
Action Taken
Nil.
Unit learning Outcomes
This information will not be available until 8 weeks before term.
To see Learning Outcomes from an earlier availability, please search via a previous term.