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.
Level | Undergraduate |
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Unit Level | 2 |
Credit Points | 6 |
Student Contribution Band | 2 |
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 |
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).
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 Task | Weighting |
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1. Written Assessment | 20% |
2. Written Assessment | 20% |
3. Take Home Exam | 60% |
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%).
All University policies are available on the Policy web site, however you may wish to directly view the following policies below.
This list is not an exhaustive list of all University policies. The full list of policies are available on the Policy web site ^{}.
Term 2 - 2019 : The overall satisfaction for students in the last offering of this course was 4.5 (on a 5 point Likert scale), based on a 55% response rate.
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.
On successful completion of this unit, you will be able to:
Assessment Tasks | Learning Outcomes | ||||||||
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1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | |
1 - Written Assessment | • | • | • | ||||||
2 - Written Assessment | • | • | • | • | |||||
3 - Take Home Exam | • | • | • | • | • | • | • | • |
Graduate Attributes | Learning Outcomes | ||||||||
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1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | |
1 - Communication | • | • | • | • | • | • | • | • | • |
2 - Problem Solving | • | • | • | • | • | • | • | • | • |
3 - Critical Thinking | • | • | • | • | • | • | • | • | • |
4 - Information Literacy | • | • | • | • | • | • | • | • | • |
6 - Information Technology Competence | • | • | • | • | • | • | • | • | • |
8 - Ethical practice | • |
Assessment Tasks | Graduate Attributes | ||||||||
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1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | |
1 - Written Assessment | • | • | • | • | • | • | |||
2 - Written Assessment | • | • | • | • | • | • | |||
3 - Take Home Exam | • | • | • | • | • |