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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
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
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).
This list is not an exhaustive list of all University policies.
The full list of University policies are available on the CQUniversity Policy site.
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:
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.
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 )