MATH12223 - Calculus and Linear Algebra A
Term 1 - 2017


All details in this unit profile for MATH12223 have been officially approved by CQUniversity and represent a learning partnership between the University and you (our student). The information will not be changed unless absolutely necessary and any change will be clearly indicated by an approved correction included in the profile.

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

Career Level Undergraduate
Unit Level Level 2
Credit Points 6
Student Contribution Band 7A
Fraction of Full-Time Student Load 0.125

Pre-requisites or Co-requisites

Prerequisite MATH11160 Technology Mathematics

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).

Offerings

Term 1 - 2017
  • Distance

Website

This unit has a website, within the Moodle system, which is available two weeks before the start of term. It is important that you visit your Moodle site throughout the term. Go to Moodle

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 Task Weighting
1. Written Assessment 20%
2. Written Assessment 20%
3. Examination 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%). Consult the University’s Grades and Results Procedures for more details of interim results and final grades.

All University policies are available on the IMPortal.

You may wish to view these policies:

  • Grades and Results Procedure
  • Assessment Policy and Procedure (Higher Education Coursework)
  • Review of Grade Procedure
  • Academic Misconduct Procedure
  • Monitoring Academic Progress (MAP) Policy and Procedure – Domestic Students
  • Monitoring Academic Progress (MAP) Policy and Procedure – International Students
  • Refund and Excess Payments (Credit Balances) Policy and Procedure
  • Student Feedback – Compliments and Complaints Policy and Procedure
  • Acceptable Use of Information and Communications Technology Facilities and Devices Policy and Procedure

This list is not an exhaustive list of all University policies. The full list of University policies are available on the IMPortal.

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 Source Recommendation
Low score by students for Learning Resources in the course evaluation 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.
On successful completion of this unit, you will be able to:
  1. Formulate and apply mathematical functions and graphs to model typical applied scenarios.
  2. Apply the concepts of limit, continuity and derivative of a function to solve problems.
  3. Apply the rules of differentiation like the product, quotient and chain rules, as well as implicit differentiation in appropriate situations.
  4. Apply differentiation to solve problems involving rates of change including optimisation, determining the shape of curves, l’Hospital’s rule and Newton’s method.
  5. Analyse and solve problems using complex numbers and trigonometry.
  6. Apply vectors and vector operators in two and three dimensional space, particularly for the equations of lines and planes.
  7. Solve systems of linear equations using elimination and row operations.
  8. Apply matrices and matrix operators, particularly for solving systems of linear equations.
  9. 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          
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 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                

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
1 - Written Assessment    
2 - Written Assessment    
3 - Examination      

Prescribed Textbooks

Student Solutions Manual (Metric International Edition) for Stewart's Single Variable Calculus: Concepts and Contexts
Author/s: James Stewart Year: 2010
Edition: 4th edition Publisher: Brooks Cole
City: Pacific Grove
Country: USA
Calculus: concepts and contexts
Author/s: Stewart, J Year: 2010
Edition: 4th edn Publisher: Brooks Cole
City: Pacific Grove
Country: USA
View textbooks at the CQUniversity Bookshop
Note:
Please note the following comments about textbooks:
The Stewart Calculus textbook and the Student Solutions Manual are absolutely compulsory for MATH12223. These two books are also the prescribed textbooks for the Term 2 mathematics unit MATH12224. Hence you will not need to buy any more textbooks if you are enrolling in MATH12224 in Term 2. The Stewart Calculus textbook is also the prescribed textbook for the mathematics unit MATH13217. Please contact the unit coordinator if you wish to discuss further the topic of textbooks for any of these courses.

IT Resources

You will need access to the following IT resources:
  • CQUniversity Student Email
  • Internet
  • Unit Website (Moodle)
  • WolframAlpha on the internet
All submissions for this unit must use the Harvard (author-date) referencing style (details can be obtained here). For further information, see the Assessment Tasks below.
Unit CoordinatorRoss Shepherd (r.shepherd@cqu.edu.au)
Note: Check the Term-Specific section for any additional contact information provided by the teaching team
Week Begin Date Module/Topic Chapter Events and Submissions
Week 1 06-03-2017

Lecture 1 - Course Info & Preview

Lecture 2 - Appendix A

Lecture 3 - Appendix C

Textbook - Preview plus Appendix A & Appendix C

Do week 1 tutorial exercises.

Week 2 13-03-2017

Lecture 1 - Section 1.1 & 1.2

Lecture 2 - Section 1.3 & 1.4

Lecture 3 - Section 1.5

Textbook - Sections 1.1 to 1.5 inclusive

Do week 2 tutorial exercises.

Week 3 20-03-2017

Lecture 1 - Section 1.6

Lecture 2 - Section 1.7 & Appendix I

Lecture 3 - Appendix I & Section 2.1

Textbook - Sections 1.6 to 2.1 inclusive & Appendix I

Do week 3 tutorial exercises.

Week 4 27-03-2017

Lecture 1 - Section 2.2

Lecture 2 - Section 2.3

Lecture 3 - Section 2.4 & 2.5

Textbook - Sections 2.2 to 2.5 inclusive

Do week 4 tutorial exercises.

Week 5 03-04-2017

Lecture 1 - Section 2.6

Lecture 2 - Section 2.7

Lecture 3 - Section 2.8

Textbook - Sections 2.6 to 2.8 inclusive

Do week 5 tutorial exercises.

Assignment 1 Due Friday (07 Apr 17) 11:00 PM AEST
Vacation Week 10-04-2017
Week 6 17-04-2017

Lecture 1 - Section 3.1

Lecture 2 - Section 3.2 & 3.3

Lecture 3 - Section 3.4 & 3.5

Textbook - Sections 3.1 to 3.5 inclusive

Do week 6 tutorial exercises.

Week 7 24-04-2017

Lecture 1 - Section 3.6

Lecture 2 - Section 3.7

Lecture 3 - Section 3.8 & 3.9

Textbook - Sections 3.6 to 3.9 inclusive

Do week 7 tutorial exercises.

Week 8 01-05-2017

Lecture 1 - Section 4.1

Lecture 2 - Section 4.2

Lecture 3 - Section 4.3

Textbook - Sections 4.1 to 4.3 inclusive

Do week 8 tutorial exercises.

Week 9 08-05-2017

Lecture 1 - Section 4.5

Lecture 2 - Section 4.6

Lecture 3 - Section 4.7 & 4.8

Textbook - Sections 4.5 to 4.8 inclusive

Do week 9 tutorial exercises.

Assignment 2 Due Friday (12 May 17) 11:00 PM AEST
Week 10 15-05-2017

Lecture 1 - Section 9.1 & 9.2

Lecture 2 - Section 9.3 & 9.4

Lecture 3 - Section 9.5

Textbook - Sections 9.1 to 9.5 inclusive

Do week 10 tutorial exercises.

Week 11 22-05-2017

Lecture 1 - Euclidean m-space

Lecture 2 - Systems of linear equations

Lecture 3 - Row reduction of linear systems

Lecture notes available on Moodle website

Do week 11 tutorial exercises.

Week 12 29-05-2017

Lecture 1 - Introduction to matrices

Lecture 2 - Matrices equations and inverses

Lecture 3 - Revision

Lecture notes available on Moodle website

Do week 12 tutorial exercises.

Review/Exam Week 05-06-2017
Exam Week 12-06-2017

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

Assessment Title Assignment 1
Task Description
Submit full worked solutions to twenty even-numbered exercises selected from the Stewart Calculus textbook. The exercises cover topics from Weeks 1 to 4 of the course. The selected exercises and other assignment 1 details are given on the Moodle website.
Assessment Due Date Week 5 Friday (07-Apr-2017) 11:00 PM AEST
Submit in Week 5 by 11pm on Friday.
Return Date to Students Week 6 Friday (21-Apr-2017)
Results will be available to students two weeks after the submission date.
Weighting 20%
Assessment Criteria
Marks for each assignment question will be awarded for the setting out, showing the correct steps in the solution as well as finding the correct answer. Full details about the assessment criteria for assignment 1 are available on the Moodle website.
Referencing Style Harvard (author-date)
Submission Online

Assignment 1 must be submitted online as a PDF document through the upload facility on the MATH12223 Moodle website.

Learning Outcomes Assessed
This section can be expanded to view the assessed learning outcomes

1. Formulate and apply mathematical functions and graphs to model typical applied scenarios.

2. Apply the concepts of limit, continuity and derivative of a function to solve problems.

5. Analyse and solve problems using complex numbers and trigonometry.

9. Use mathematical software to visualise, analyse and solve problems in single variable differential calculus and linear algebra.

Graduate Attributes
This section can be expanded to view the assessed graduate attributes

1. Communication

2. Problem Solving

3. Critical Thinking

4. Information Literacy

6. Information Technology Competence

8. Ethical practice



2 Written Assessment

Assessment Title Assignment 2
Task Description
Submit full worked solutions to twenty even-numbered exercises selected from the Stewart Calculus textbook. The exercises cover topics from Weeks 5 to 8 of the course. The selected exercises and other details are given on the Moodle website.
Assessment Due Date Week 9 Friday (12-May-2017) 11:00 PM AEST
Submit in Week 9 by 5pm on Friday
Return Date to Students Week 11 Friday (26-May-2017)
Results will be available to students two weeks after the submission date.
Weighting 20%
Assessment Criteria
Marks for each assignment question will be awarded for the setting out, showing the correct steps in the solution as well as finding the correct answer. Full details about the assessment criteria for assignment 2 are available on the Moodle website.
Referencing Style Harvard (author-date)
Submission Online

Assignment 2 must be submitted online as a PDF document through the upload facility on the MATH12223 Moodle website.

Learning Outcomes Assessed
This section can be expanded to view the assessed learning outcomes

3. Apply the rules of differentiation like the product, quotient and chain rules, as well as implicit differentiation in appropriate situations.

4. Apply differentiation to solve problems involving rates of change including optimisation, determining the shape of curves, l’Hospital’s rule and Newton’s method.

5. Analyse and solve problems using complex numbers and trigonometry.

9. Use mathematical software to visualise, analyse and solve problems in single variable differential calculus and linear algebra.

Graduate Attributes
This section can be expanded to view the assessed graduate attributes

1. Communication

2. Problem Solving

3. Critical Thinking

4. Information Literacy

6. Information Technology Competence

8. Ethical practice



Examination

Outline Complete an examination
Date During the University examination period
Weighting 60%
Condition Minimum percentage of examination marks required to pass course - 40% (or 24 marks out of the 60 marks available on the exam).
Length 180 minutes
Details Dictionary - non-electronic, concise, direct translation only (dictionary must not contain any notes or comments).
Calculator - all non-communicable calculators, including scientific, programmable and graphics calculators are authorised.
Open Book
Learning Outcomes Assessed
This section can be expanded to view the assessed learning outcomes

1. Formulate and apply mathematical functions and graphs to model typical applied scenarios.

2. Apply the concepts of limit, continuity and derivative of a function to solve problems.

3. Apply the rules of differentiation like the product, quotient and chain rules, as well as implicit differentiation in appropriate situations.

4. Apply differentiation to solve problems involving rates of change including optimisation, determining the shape of curves, l’Hospital’s rule and Newton’s method.

5. Analyse and solve problems using complex numbers and trigonometry.

6. Apply vectors and vector operators in two and three dimensional space, particularly for the equations of lines and planes.

7. Solve systems of linear equations using elimination and row operations.

8. Apply matrices and matrix operators, particularly for solving systems of linear equations.

Graduate Attributes
This section can be expanded to view the assessed graduate attributes

1. Communication

2. Problem Solving

3. Critical Thinking

4. Information Literacy

8. Ethical practice


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