CQUniversity Unit Profile

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Please note that this Unit Profile is still in progress. The content below is subject to change.
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


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.


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 - 2023


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

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 2021 Engineering Curriculum Review.


Strategically optimise the unit topics taught.


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

Feedback from Student Unit and Teaching Evaluation (SUTE).


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.


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:

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

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

Information for Textbooks and Resources has not been released yet.

This information will be available on Monday 16 October 2023
Academic Integrity Statement

Information for Academic Integrity Statement has not been released yet.

This unit profile has not yet been finalised.