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. Throughout the term, you will record handwritten worked examples of all problems attempted in a workbook to create a comprehensive resource for solving mathematical problems, which you can apply in the exam and throughout your course and career. You will use the Fundamental Theorem of Calculus to illustrate the relationship between a function's derivative and integral. The theorem will also be applied to problems involving definite integrals. Differential calculus will be used to construct mathematical models that investigate various 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 explored through the use of differential equations. Other essential elements of this unit are communicating 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 2 - 2023

Bundaberg
Cairns
Gladstone
Mackay
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: Pass/Fail
2. Online Quiz(zes)
Weighting: Pass/Fail
3. Examination
Weighting: Pass/Fail

Assessment Grading

This is a pass/fail (non-graded) unit. To pass the unit, you must pass all of the individual assessment tasks shown in the table above.

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 Unit Coordinator reflection

Feedback

A large segment of students would substantially benefit from ensuring sufficient practice with the fundamental mathematics curriculum covered in the unit.

Recommendation

Update unit assessment to include workbook submissions that capture the students practice, in developing solutions to the units curriculum, during the term.

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 proactive demeanor. (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 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 - 0%
2 - Online Quiz(zes) - 0%
3 - Examination - 0%

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
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

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
Shaminda De Silva Unit Coordinator
s.desilva@cqu.edu.au
Schedule
Week 1 Begin Date: 10 Jul 2023

Module/Topic

Differentiation


Chapter

Chapter 10: Sections 10.1 to 10.8

Events and Submissions/Topic

Textbook Exercises 10.3 to 10.8 and Week 1 Tutorial Exercises

Week 2 Begin Date: 17 Jul 2023

Module/Topic

Techniques of Differentiation

Chapter

 Chapter 11: Sections 11.1 to 11.4

Events and Submissions/Topic

Textbook Exercises 11.2 to 11.4 and Week 2 Tutorial Exercises

Week 3 Begin Date: 24 Jul 2023

Module/Topic

Application of Differentiation


Chapter

Chapter 12:  Sections 12.1 to 12.4

Events and Submissions/Topic

Textbook Exercises 12.2 to 12.4 and Week 3 Tutorial Exercises


Week 4 Begin Date: 31 Jul 2023

Module/Topic

Sequences and Series


Chapter

Chapter 6: Sections 6.1 to 6.6

Events and Submissions/Topic

Textbook Exercises 6.2 to 6.6 and Week 4 Tutorial Exercises

Competency Test 1 (Online Quiz) Due : Week 4 Friday (4 Aug 2023) 11:59 pm AEST

Week 5 Begin Date: 07 Aug 2023

Module/Topic

Taylor Polynomials, Taylor Series and Maclaurin Series


Chapter

Chapter 18: Sections 18.1 to 18.6

Events and Submissions/Topic

Textbook Exercises 18.2 to 18.6 and Week 5 Tutorial Exercises

Vacation Week Begin Date: 14 Aug 2023

Module/Topic

Chapter

Events and Submissions/Topic

Week 6 Begin Date: 21 Aug 2023

Module/Topic

Integration


Chapter

Chapter 13: Sections 13.1 to 13.3

Events and Submissions/Topic

Textbook Exercises 13.2 to 13.3 and Week 6 Tutorial Exercises

Week 7 Begin Date: 28 Aug 2023

Module/Topic

Techniques of Integration


Chapter

Chapter 14: Sections 14.1 to 14.4

Events and Submissions/Topic

Textbook Exercises 14.2 to 14.4 and Week 7 Tutorial Exercises


Week 8 Begin Date: 04 Sep 2023

Module/Topic

Further Topics in Integration


Chapter

Unit Resource Materials

Events and Submissions/Topic

Resource Material Exercises and Week 8 Tutorial Exercises

Competency Test 2 (Online Quiz) Due : Week 8 Friday (8 Sep 2023) 11:59 pm AEST

Week 9 Begin Date: 11 Sep 2023

Module/Topic

Ordinary Differential Equations


Chapter

Chapter 19: Sections 19.1 to 19.4

Events and Submissions/Topic

Textbook Exercises 19.2 to 19.4 and Week 9 Tutorial Exercises

Week 10 Begin Date: 18 Sep 2023

Module/Topic

Ordinary Differential Equations


Chapter

Chapter 19: Sections 19.5 to 19.6

Events and Submissions/Topic

Textbook Exercises 19.5 to 19.6 and Week 10 Tutorial Exercises

Week 11 Begin Date: 25 Sep 2023

Module/Topic

Functions of Several Variables


Chapter

Chapter 25: Sections 25.1 to 25.5

Events and Submissions/Topic

Textbook Exercises 25.3 to 25.5 and Week 11 Tutorial Exercises



Handwritten Workbook Due: Week 11 Friday (29 Sept 2023) 11:59 pm AEST
Week 12 Begin Date: 02 Oct 2023

Module/Topic

Revision

Chapter

Events and Submissions/Topic

Week 12 Tutorial Exercises

Competency Test 3 (Online Quiz) Due : Week 12 Friday (6 Oct 2023) 11:59 pm AEST

Review/Exam Week Begin Date: 09 Oct 2023

Module/Topic

Chapter

Events and Submissions/Topic

Exam Week Begin Date: 16 Oct 2023

Module/Topic

Chapter

Events and Submissions/Topic

Final Examination

Assessment Tasks

1 Written Assessment

Assessment Title
Handwritten Workbook

Task Description

This is an individual assignment. It must be only handwritten and uploaded after completing each competency test. 

Students are reminded that all aspects of work submitted are to be the efforts of their own personal studies. Students are expected to complete assigned set of questions progressively each week and collate all answers and submit on or before the due date as a single pdf document. 

Please see the unit Moodle site for the questions in this assignment. Assignment 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 11 Friday (29 Sept 2023) 11:59 pm AEST


Return Date to Students

Review/Exam Week Friday (13 Oct 2023)


Weighting
Pass/Fail

Minimum mark or grade
25%

Assessment Criteria

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

Solutions to this assignment will be made available to students 2 weeks after the due date. Consequently, extension requests greater than 14 days will be denied except under exceptional circumstances.


Referencing Style

Submission
Online

Submission Instructions
as a single pdf file

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
  • 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.

2 Online Quiz(zes)

Assessment Title
Competency Tests

Task Description

Students need to complete three (3) online quizzes at the end of Week 4, Week 8 and Week 12.

Students are reminded that all aspects of work submitted are to be the efforts of their own personal studies.

Please see the unit Moodle site for the questions for the quizzes. Quizzes will be available under the "Assessment" tile on the unit Moodle website, together with complete instructions for online submission of your solutions to the quiz questions.

Marks will be deducted for quizzes that are completed late without an extension request.


Number of Quizzes

3


Frequency of Quizzes

Other


Assessment Due Date

Return Date to Students

Weighting
Pass/Fail

Minimum mark or grade
25%

Assessment Criteria

The quiz mark is based on Pass/Fail ssytem. 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

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
  • 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

Examination

Outline
Complete an invigilated examination

Date
During the examination period at a CQUniversity examination centre

Weighting
0%

Length
180 minutes

Minimum mark or grade
50%

Exam Conditions
Restricted

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?