Overview
The unit covers topics in single variable differential calculus and linear algebra. The emphasis is on a conceptual understanding of calculus through a visual, verbal, numerical and algebraic approach with particular focus on the practical power of calculus. Topics covered include functions, mathematical models of real world processes, complex numbers, vectors, matrices and systems of linear equations. However the main focus is on limits, continuity and derivatives which are studied extensively, and are used to derive the rules of differentiation like the product, quotient and chain rules as well as implicit differentiation. Applications of differentiation are discussed like l’Hospital’s rule and Newton’s method, and differentiation is applied to the areas of optimisation and determining the shape of curves. Mathematical software is also used to investigate and solve most problems studied in the unit. Note: if you have completed unit MATH11163 then you cannot take this unit.
Details
Pre-requisites or Co-requisites
Prerequisite MATH11160 Technology Mathematics
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).
Offerings For Term 1 - 2017
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).
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.
Class Timetable
Assessment Overview
Assessment Grading
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.
All University policies are available on the CQUniversity Policy site.
You may wish to view these policies:
- Grades and Results Policy
- Assessment Policy and Procedure (Higher Education Coursework)
- Review of Grade Procedure
- Student Academic Integrity Policy and Procedure
- Monitoring Academic Progress (MAP) Policy and Procedure – Domestic Students
- Monitoring Academic Progress (MAP) Policy and Procedure – International Students
- Student Refund and Credit Balance Policy and Procedure
- Student Feedback – Compliments and Complaints Policy and Procedure
- Information and Communications Technology Acceptable Use Policy and Procedure
This list is not an exhaustive list of all University policies. The full list of University policies are available on the CQUniversity Policy site.
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.
Feedback from Course evaluation
Low score by students for Learning Resources in the course evaluation
WolframAlpha is an excellent learning resource which is not used much in the course. At the moment students have limited access to the software on the internet. I will investigate incorporating WolframAlpha more into the course, particularly as there is the possibility that we can extend our Mathematica subscription to include WolframAlpha. This will allow students to see the full working for any particular maths problem and so will assist students with independent learning and when I run the weekly online BBCollaborate tutorials.
The free online software program WolframAlpha was used each week in the online Zoom tutorial for the Distance students. It assisted students to visualise complex problems and also to check the validity of their mathematical working and solution.
- Formulate and apply mathematical functions and graphs to model typical applied scenarios.
- Apply the concepts of limit, continuity and derivative of a function to solve problems.
- Apply the rules of differentiation like the product, quotient and chain rules, as well as implicit differentiation in appropriate situations.
- Apply differentiation to solve problems involving rates of change including optimisation, determining the shape of curves, l’Hospital’s rule and Newton’s method.
- Analyse and solve problems using complex numbers and trigonometry.
- Apply vectors and vector operators in two and three dimensional space, particularly for the equations of lines and planes.
- Solve systems of linear equations using elimination and row operations.
- Apply matrices and matrix operators, particularly for solving systems of linear equations.
- Use mathematical software to visualise, analyse and solve problems in single variable differential calculus and linear algebra.
Alignment of Assessment Tasks to Learning Outcomes
| Assessment Tasks | Learning Outcomes | ||||||||
|---|---|---|---|---|---|---|---|---|---|
| 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | |
| 1 - Written Assessment - 20% | |||||||||
| 2 - Written Assessment - 20% | |||||||||
| 3 - Examination - 60% | |||||||||
Alignment of Graduate Attributes to Learning Outcomes
| Graduate Attributes | Learning Outcomes | ||||||||
|---|---|---|---|---|---|---|---|---|---|
| 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | |
| 1 - Communication | |||||||||
| 2 - Problem Solving | |||||||||
| 3 - Critical Thinking | |||||||||
| 4 - Information Literacy | |||||||||
| 5 - Team Work | |||||||||
| 6 - Information Technology Competence | |||||||||
| 7 - Cross Cultural Competence | |||||||||
| 8 - Ethical practice | |||||||||
| 9 - Social Innovation | |||||||||
| 10 - Aboriginal and Torres Strait Islander Cultures | |||||||||
Alignment of Assessment Tasks to Graduate Attributes
| Assessment Tasks | Graduate Attributes | |||||||||
|---|---|---|---|---|---|---|---|---|---|---|
| 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | |
| 1 - Written Assessment - 20% | ||||||||||
| 2 - Written Assessment - 20% | ||||||||||
| 3 - Examination - 60% | ||||||||||
Textbooks
Calculus: concepts and contexts
Edition: 4th edn (2010)
Authors: Stewart, J
Brooks Cole
Pacific Grove Pacific Grove , USA
ISBN: 9780495560654
Binding: Hardcover
Student Solutions Manual (Metric International Edition) for Stewart's Single Variable Calculus: Concepts and Contexts
4th edition (2010)
Authors: James Stewart
Brooks Cole
Pacific Grove Pacific Grove , USA
ISBN: 1-4390-4693-X
Binding: Paperback
Additional Textbook Information
IT Resources
- CQUniversity Student Email
- Internet
- Unit Website (Moodle)
- WolframAlpha on the internet
All submissions for this unit must use the referencing style: Harvard (author-date)
For further information, see the Assessment Tasks.
r.shepherd@cqu.edu.au
Module/Topic
Lecture 1 - Course Info & Preview
Lecture 2 - Appendix A
Lecture 3 - Appendix C
Chapter
Textbook - Preview plus Appendix A & Appendix C
Events and Submissions/Topic
Do week 1 tutorial exercises.
Module/Topic
Lecture 1 - Section 1.1 & 1.2
Lecture 2 - Section 1.3 & 1.4
Lecture 3 - Section 1.5
Chapter
Textbook - Sections 1.1 to 1.5 inclusive
Events and Submissions/Topic
Do week 2 tutorial exercises.
Module/Topic
Lecture 1 - Section 1.6
Lecture 2 - Section 1.7 & Appendix I
Lecture 3 - Appendix I & Section 2.1
Chapter
Textbook - Sections 1.6 to 2.1 inclusive & Appendix I
Events and Submissions/Topic
Do week 3 tutorial exercises.
Module/Topic
Lecture 1 - Section 2.2
Lecture 2 - Section 2.3
Lecture 3 - Section 2.4 & 2.5
Chapter
Textbook - Sections 2.2 to 2.5 inclusive
Events and Submissions/Topic
Do week 4 tutorial exercises.
Module/Topic
Lecture 1 - Section 2.6
Lecture 2 - Section 2.7
Lecture 3 - Section 2.8
Chapter
Textbook - Sections 2.6 to 2.8 inclusive
Events and Submissions/Topic
Do week 5 tutorial exercises.
Assignment 1 Due: Week 5 Friday (7 Apr 2017) 11:00 pm AEST
Module/Topic
Chapter
Events and Submissions/Topic
Module/Topic
Lecture 1 - Section 3.1
Lecture 2 - Section 3.2 & 3.3
Lecture 3 - Section 3.4 & 3.5
Chapter
Textbook - Sections 3.1 to 3.5 inclusive
Events and Submissions/Topic
Do week 6 tutorial exercises.
Module/Topic
Lecture 1 - Section 3.6
Lecture 2 - Section 3.7
Lecture 3 - Section 3.8 & 3.9
Chapter
Textbook - Sections 3.6 to 3.9 inclusive
Events and Submissions/Topic
Do week 7 tutorial exercises.
Module/Topic
Lecture 1 - Section 4.1
Lecture 2 - Section 4.2
Lecture 3 - Section 4.3
Chapter
Textbook - Sections 4.1 to 4.3 inclusive
Events and Submissions/Topic
Do week 8 tutorial exercises.
Module/Topic
Lecture 1 - Section 4.5
Lecture 2 - Section 4.6
Lecture 3 - Section 4.7 & 4.8
Chapter
Textbook - Sections 4.5 to 4.8 inclusive
Events and Submissions/Topic
Do week 9 tutorial exercises.
Assignment 2 Due: Week 9 Friday (12 May 2017) 11:00 pm AEST
Module/Topic
Lecture 1 - Section 9.1 & 9.2
Lecture 2 - Section 9.3 & 9.4
Lecture 3 - Section 9.5
Chapter
Textbook - Sections 9.1 to 9.5 inclusive
Events and Submissions/Topic
Do week 10 tutorial exercises.
Module/Topic
Lecture 1 - Euclidean m-space
Lecture 2 - Systems of linear equations
Lecture 3 - Row reduction of linear systems
Chapter
Lecture notes available on Moodle website
Events and Submissions/Topic
Do week 11 tutorial exercises.
Module/Topic
Lecture 1 - Introduction to matrices
Lecture 2 - Matrices equations and inverses
Lecture 3 - Revision
Chapter
Lecture notes available on Moodle website
Events and Submissions/Topic
Do week 12 tutorial exercises.
Module/Topic
Chapter
Events and Submissions/Topic
Module/Topic
Chapter
Events and Submissions/Topic
To pass the unit (MATH12223) you must obtain:
- at least 24 out of 60 marks on the final exam AND
- at least 50% on the combined total mark for the two assignments and the exam.
Each of the two assignments is worth 20% of the total assessment for this course. Each assignment question is an even-numbered exercise from the textbook. Full working must be shown for each assignment question. It is recommended that you work routinely and methodically through a selection of odd-numbered exercises from the textbook as solutions to all odd-numbered exercises are available in the Student Solutions Manual which is a prescribed text and available from the Bookshop. To help you I have provided a suggested list of Tutorial Exercises (from the textbook) on the Moodle website. Solutions to the Tutorial Exercises are in the Student Solutions Manual which is a prescribed text.
1 Written Assessment
Week 5 Friday (7 Apr 2017) 11:00 pm AEST
Submit in Week 5 by 11pm on Friday.
Week 6 Friday (21 Apr 2017)
Results will be available to students two weeks after the submission date.
- Formulate and apply mathematical functions and graphs to model typical applied scenarios.
- Apply the concepts of limit, continuity and derivative of a function to solve problems.
- Analyse and solve problems using complex numbers and trigonometry.
- Use mathematical software to visualise, analyse and solve problems in single variable differential calculus and linear algebra.
- Communication
- Problem Solving
- Critical Thinking
- Information Literacy
- Information Technology Competence
- Ethical practice
2 Written Assessment
Week 9 Friday (12 May 2017) 11:00 pm AEST
Submit in Week 9 by 5pm on Friday
Week 11 Friday (26 May 2017)
Results will be available to students two weeks after the submission date.
- Apply the rules of differentiation like the product, quotient and chain rules, as well as implicit differentiation in appropriate situations.
- Apply differentiation to solve problems involving rates of change including optimisation, determining the shape of curves, l’Hospital’s rule and Newton’s method.
- Analyse and solve problems using complex numbers and trigonometry.
- Use mathematical software to visualise, analyse and solve problems in single variable differential calculus and linear algebra.
- Communication
- Problem Solving
- Critical Thinking
- Information Literacy
- Information Technology Competence
- Ethical practice
Examination
Dictionary - non-electronic, concise, direct translation only (dictionary must not contain any notes or comments).
As a CQUniversity student you are expected to act honestly in all aspects of your academic work.
Any assessable work undertaken or submitted for review or assessment must be your own work. Assessable work is any type of work you do to meet the assessment requirements in the unit, including draft work submitted for review and feedback and final work to be assessed.
When you use the ideas, words or data of others in your assessment, you must thoroughly and clearly acknowledge the source of this information by using the correct referencing style for your unit. Using others’ work without proper acknowledgement may be considered a form of intellectual dishonesty.
Participating honestly, respectfully, responsibly, and fairly in your university study ensures the CQUniversity qualification you earn will be valued as a true indication of your individual academic achievement and will continue to receive the respect and recognition it deserves.
As a student, you are responsible for reading and following CQUniversity’s policies, including the Student Academic Integrity Policy and Procedure. This policy sets out CQUniversity’s expectations of you to act with integrity, examples of academic integrity breaches to avoid, the processes used to address alleged breaches of academic integrity, and potential penalties.
What is a breach of academic integrity?
A breach of academic integrity includes but is not limited to plagiarism, self-plagiarism, collusion, cheating, contract cheating, and academic misconduct. The Student Academic Integrity Policy and Procedure defines what these terms mean and gives examples.
Why is academic integrity important?
A breach of academic integrity may result in one or more penalties, including suspension or even expulsion from the University. It can also have negative implications for student visas and future enrolment at CQUniversity or elsewhere. Students who engage in contract cheating also risk being blackmailed by contract cheating services.
Where can I get assistance?
For academic advice and guidance, the Academic Learning Centre (ALC) can support you in becoming confident in completing assessments with integrity and of high standard.
What can you do to act with integrity?
