MATH11219 - Applied Calculus

General Information

Unit Synopsis

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.


Level Undergraduate
Unit Level 1
Credit Points 6
Student Contribution Band SCA Band 1
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).

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Residential School No Residential School

Unit Availabilities from Term 1 - 2024

Term 2 - 2024 Profile
Term 3 - 2024 Profile

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).

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.

Assessment Tasks

Assessment Task Weighting
1. Written Assessment 0%
2. Online Quiz(zes) 0%
3. Examination 0%

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.

Past Exams

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Previous Feedback

Term 2 - 2022 : The overall satisfaction for students in the last offering of this course was 81.82% (`Agree` and `Strongly Agree` responses), based on a 22.92% response rate.

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.

Source: 2021 Engineering Curriculum Review.
Strategically optimise the unit topics taught.
Update the lectures and tutorials to match the revised unit curriculum.
Action Taken
The topics of applications of integration and numerical integration have been divested from the unit. Ordinary differential equations coverage was expanded by an additional week, with lecture and tutorial materials updated to reflect the additional time spent studying this topic area.
Source: 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.
Action Taken
The teaching and learning approach has been maintained.
Source: Unit Coordinator reflection
A large segment of students would substantially benefit from ensuring sufficient practice with the fundamental mathematics curriculum covered in the unit.
Update unit assessment to include workbook submissions that capture the students practice, in developing solutions to the units curriculum, during the term.
Action Taken
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 Assessment Tasks to Learning Outcomes
Assessment Tasks Learning Outcomes
1 2 3 4 5 6 7
1 - Written Assessment
2 - Online Quiz(zes)
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
1 - Communication
2 - Problem Solving
3 - Critical Thinking
4 - Information Literacy
6 - Information Technology Competence
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 9 10