CQUniversity Unit Profile
MATH11219 Applied Calculus
Applied Calculus
All details in this unit profile for MATH11219 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.
General Information

Overview

In this unit, you will apply the essential calculus concepts, processes, and techniques to develop mathematical models for science and engineering problems. You will use the Fundamental Theorem of Calculus to illustrate the relationship between the derivative and the integral of a function. The theorem will also be applied to problems involving definite integrals. Differential calculus will be used to construct mathematical models that investigate a variety of rate-of-change and optimisation problems. You will learn how to apply the standard rules and techniques of integration. Science and engineering disciplinary problems will be investigated through the use of differential equations. Other important elements of this unit are the communication of results, concepts, and ideas using mathematics as a language. Mathematical software will also be used to visualise, analyse, validate, and solve problems studied in the unit.

Details

Career Level: Undergraduate
Unit Level: Level 1
Credit Points: 6
Student Contribution Band: 7
Fraction of Full-Time Student Load: 0.125

Pre-requisites or Co-requisites

Prerequisite: MATH11218 Anti-requisite: MATH12223 or MATH12224

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 3 - 2021

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).

Class and 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.

Class Timetable

Bundaberg, Cairns, Emerald, Gladstone, Mackay, Rockhampton, Townsville
Adelaide, Brisbane, Melbourne, Perth, Sydney

Assessment Overview

1. Written Assessment
Weighting: 20%
2. Written Assessment
Weighting: 20%
3. Examination
Weighting: 60%

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.

Previous Student Feedback

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 2021 Engineering Curriculum Review.

Feedback

Strategically optimise the unit topics taught.

Recommendation

Update the lectures and tutorials to match the revised unit curriculum.

Feedback from Student Unit and Teaching Evaluation (SUTE).

Feedback

Positive student feedback was received that the unit was well structured, had lots of resources and provided a good pace for learning with supportive and engaged staff.

Recommendation

Continue to offer a positive learning experience.

Unit Learning Outcomes
On successful completion of this unit, you will be able to:
  1. Interpret the derivative as a rate of change to apply the rules of differentiation in investigating rates of change of functions
  2. Construct mathematical models to investigate optimisation problems using differential calculus
  3. Carry out the process of integration as the inverse operation of differentiation
  4. Apply standard rules and techniques of integration to construct and analyse simple mathematical models involving rates of change and elementary differential equations
  5. Use the Fundamental Theorem of Calculus to illustrate the relationship between the derivative and the integral of a function and apply the theorem to problems involving definite integrals
  6. Communicate results, concepts, and ideas in context using mathematics as a language
  7. Use mathematical software to visualise, analyse, validate and solve problems.

The Learning Outcomes for this unit are linked with the Engineers Australia Stage 1 Competency Standards for Professional Engineers in the areas of 1. Knowledge and Skill Base, 2. Engineering Application Ability and 3. Professional and Personal Attributes at the following levels:

Introductory
1.2 Conceptual understanding of the mathematics, numerical analysis, statistics, and computer and information sciences which underpin the engineering discipline. (LO: 1N 2N 3N 4N 5N 6N 7N )
2.1 Application of established engineering methods to complex engineering problem-solving. (LO: 1N 2N 3N 4N 5N 7N )
2.2 Fluent application of engineering techniques, tools and resources. (LO: 1N 2N 3N 4N 5N 7N )
3.2 Effective oral and written communication in professional and lay domains. (LO: 6N )
3.3 Creative, innovative and pro-active demeanour. (LO: 1N 2N 3N 4N 5N )
3.4 Professional use and management of information. (LO: 6N )

Note: LO refers to the Learning Outcome number(s) which link to the competency and the levels: N – Introductory, I – Intermediate and A - Advanced.

Refer to the Engineering Undergraduate Course Moodle site for further information on the Engineers Australia's Stage 1 Competency Standard for Professional Engineers and course level mapping information
https://moodle.cqu.edu.au/course/view.php?id=1511

Alignment of Learning Outcomes, Assessment and Graduate Attributes
N/A Level
Introductory Level
Intermediate Level
Graduate Level
Professional Level
Advanced Level

Alignment of Assessment Tasks to Learning Outcomes

Assessment Tasks Learning Outcomes
1 2 3 4 5 6 7
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
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 and Resources

Textbooks

Prescribed

Engineering Mathematics: A Foundation for Electronic, Electrical, Communications and Systems Engineers

Fifth Edition (2017)
Authors: Anthony Croft, Robert Davison, Martin Hargreaves and James Flint
Pearson
Harlow Harlow , England
ISBN: 978-1-292-14665-2
Binding: Paperback
Supplementary

ESSENTIALS AND EXAMPLES OF APPLIED MATHEMATICS

Edition: 2nd edn (2020)
Authors: William Guo
Pearson Australia
Melbourne Melbourne , VIC , Australia
ISBN: 9780655703624
Binding: Paperback

Additional Textbook Information

IT Resources

You will need access to the following IT resources:
  • CQUniversity Student Email
  • Internet
  • Unit Website (Moodle)
  • Access to a document scanner and/or pdf converter (all assessment submitted electronically as pdf file)
  • Access to a printer (for printing assessment and tutorial materials)
  • Access to a webcam, speakers and microphone or a headset (for participating in Zoom lectures and tutorials)
Referencing Style

All submissions for this unit must use the referencing style: Harvard (author-date)

For further information, see the Assessment Tasks.

Teaching Contacts
Lasi Piyathilaka Unit Coordinator
l.piyathilaka@cqu.edu.au
Schedule
Week 1 Begin Date: 08 Nov 2021

Module/Topic

Textbook Sections 10.1 to 10.8

Chapter

Chapter 10: Differentiation

Events and Submissions/Topic

Textbook Exercises 10.3 to 10.8 and Week 1 Tutorial Exercises

Week 2 Begin Date: 15 Nov 2021

Module/Topic

Textbook Sections 11.1 to 11.4

Chapter

Chapter 11: Techniques of Differentiation

Events and Submissions/Topic

Textbook Exercises 11.2 to 11.4 and Week 2 Tutorial Exercises

Week 3 Begin Date: 22 Nov 2021

Module/Topic

Textbook Sections 12.1 to 12.4

Chapter

Chapter 12: Application of Differentiation

Events and Submissions/Topic

Textbook Exercises 12.2 to 12.4 and Week 3 Tutorial Exercises

Week 4 Begin Date: 29 Nov 2021

Module/Topic

Textbook Sections 6.1 to 6.6

Chapter

Chapter 6: Sequences and Series

Events and Submissions/Topic

Textbook Exercises 6.2 to 6.6 and Week 4 Tutorial Exercises

Vacation Week Begin Date: 06 Dec 2021

Module/Topic

Chapter

Events and Submissions/Topic

Week 5 Begin Date: 13 Dec 2021

Module/Topic

Textbook Sections 18.1 to 18.6

Chapter

Chapter 18: Taylor Polynomials, Taylor Series and Maclaurin Series

Events and Submissions/Topic

Textbook Exercises 18.2 to 18.6 and Week 5 Tutorial Exercises


Assignment 1 Due: Week 5 Friday (17 Dec 2021) 5:00 pm AEST
Week 6 Begin Date: 20 Dec 2021

Module/Topic

Textbook Sections 13.1 to 13.3

Chapter

Chapter 13: Integration

Events and Submissions/Topic

Textbook Exercises 13.2 to 13.3 and Week 6 Tutorial Exercises

Vacation Week Begin Date: 27 Dec 2021

Module/Topic

Chapter

Events and Submissions/Topic

Week 7 Begin Date: 03 Jan 2022

Module/Topic

Textbook Sections 14.1 to 14.4

Chapter

Chapter 14: Techniques of Integration

Events and Submissions/Topic

Textbook Exercises 14.2 to 14.4 and Week 7 Tutorial Exercises

Week 8 Begin Date: 10 Jan 2022

Module/Topic

Textbook Sections 15.1 to 15.3, and Resource Materials

Chapter

Chapter 15: Applications of Integration, and Further Topics in Integration

Events and Submissions/Topic

Textbook Exercises 15.2 to 15.3, Resource Material Exercises and Week 8 Tutorial Exercises

Week 9 Begin Date: 17 Jan 2022

Module/Topic

Textbook Sections 16.3 to 16.5, and 17.1 to 17.3

Chapter

Chapter 16: Further Topics in Integration, and Chapter 17: Numerical Integration

Events and Submissions/Topic

Textbook Exercises 16.3 to 16.5, 17.2 to 17.3 and Week 9 Tutorial Exercises


Assignment 2 Due: Week 9 Friday (21 Jan 2022) 5:00 pm AEST
Week 10 Begin Date: 24 Jan 2022

Module/Topic

Textbook Sections 19.1 to 19.4

Chapter

Chapter 19: Ordinary Differential Equations

Events and Submissions/Topic

Textbook Exercises 19.2 to 19.4 and Week 10 Tutorial Exercises

Week 11 Begin Date: 31 Jan 2022

Module/Topic

Textbook Sections 25.1 to 25.5

Chapter

Chapter 25: Functions of Several Variables

Events and Submissions/Topic

Textbook Exercises 25.3 to 25.5 and Week 11 Tutorial Exercises

Week 12 Begin Date: 07 Feb 2022

Module/Topic

Revision

Chapter

Events and Submissions/Topic

Week 12 Tutorial Exercises

Exam Week Begin Date: 14 Feb 2022

Module/Topic

Chapter

Events and Submissions/Topic

Final Examination

Term Specific Information

Unit Coordinator: Dr Lasi Piyathilaka
Phone:(07) 4940 7402
Email: l.piyathilaka@cqu.edu.au
Location: Mackay Ooralea Campus, Building 24, Floor 1, Room 1.13

Assessment Tasks

1 Written Assessment

Assessment Title
Assignment 1

Task Description

This is an individual assignment. Students are reminded that all aspects of work submitted are to be the results of their own personal studies.

Please see the unit Moodle site for the questions in this assignment. Assignment 1 will be available for download under the "Assessment" tile on the unit Moodle website, together with complete instructions for online submission of your solutions to the assignment questions.

Marks will be deducted for assignments that are submitted late without an extension request. Assignments will receive NO marks if submitted after the solutions have been released.


Assessment Due Date

Week 5 Friday (17 Dec 2021) 5:00 pm AEST


Return Date to Students

It is envisaged that feedback and solutions will be available within two weeks, or as soon as the marking process is completed.


Weighting
20%

Assessment Criteria

The final weighted result is out of 20. Questions are awarded full marks if they are error-free, partial marks if there are some errors, and no marks if not attempted or contain so many errors as to render the attempt to be without value.

Answers to all questions should be neatly and clearly presented and full working is required to obtain maximum credit for solutions.


Referencing Style

Submission
Online

Submission Instructions
Assignment One is uploaded as a single PDF document to the unit Moodle site for MATH11219. Full details are provided on the unit Moodle site.

Learning Outcomes Assessed
  • Interpret the derivative as a rate of change to apply the rules of differentiation in investigating rates of change of functions
  • Construct mathematical models to investigate optimisation problems using differential calculus
  • Communicate results, concepts, and ideas in context using mathematics as a language
  • Use mathematical software to visualise, analyse, validate and solve problems.


Graduate Attributes
  • Communication
  • Problem Solving
  • Critical Thinking
  • Information Literacy
  • Information Technology Competence

2 Written Assessment

Assessment Title
Assignment 2

Task Description

This is an individual assignment. Students are reminded that all aspects of work submitted are to be the results of their own personal studies.

Please see the unit Moodle site for the questions in this assignment. Assignment 2 will be available for download under the "Assessment" tile on the unit Moodle website, together with complete instructions for online submission of your solutions to the assignment questions.

Marks will be deducted for assignments that are submitted late without an extension request. Assignments will receive NO marks if submitted after the solutions have been released.


Assessment Due Date

Week 9 Friday (21 Jan 2022) 5:00 pm AEST


Return Date to Students

It is envisaged that feedback and solutions will be available within two weeks, or as soon as the marking process is completed.


Weighting
20%

Assessment Criteria

The final weighted result is out of 20. Questions are awarded full marks if they are error-free, partial marks if there are some errors, and no marks if not attempted or contain so many errors as to render the attempt to be without value.

Answers to all questions should be neatly and clearly presented and full working is required to obtain maximum credit for solutions.


Referencing Style

Submission
Online

Submission Instructions
Assignment 2 is uploaded as a single PDF document to the unit Moodle site for MATH11219. Full details are provided on the unit Moodle site.

Learning Outcomes Assessed
  • Carry out the process of integration as the inverse operation of differentiation
  • Apply standard rules and techniques of integration to construct and analyse simple mathematical models involving rates of change and elementary differential equations
  • Use the Fundamental Theorem of Calculus to illustrate the relationship between the derivative and the integral of a function and apply the theorem to problems involving definite integrals
  • Communicate results, concepts, and ideas in context using mathematics as a language
  • Use mathematical software to visualise, analyse, validate and solve problems.


Graduate Attributes
  • Communication
  • Problem Solving
  • Critical Thinking
  • Information Literacy
  • Information Technology Competence

Examination

Outline
Complete an invigilated examination

Date
During the examination period at a CQUniversity examination centre

Weighting
60%

Length
180 minutes

Minimum mark or grade
Students must score a minimum of 50% of the marks available on the examination.

Exam Conditions
Open Book

Materials
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
Academic Integrity Statement

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?