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Unit of study_

CHNG9202: Applied Mathematics for Chemical Engineers

Virtually every aspect of a chemical engineer's professional life will involve some use of mathematical techniques. Not only is the modern chemical engineer expected to be proficient in the use of these techniques, they are also expected to be able to utilise computer-based solutions when analytical solutions are unfeasible. This unit of study aims to expose students to an appropriate suite of techniques and enable them to become proficient in the use of mathematics as a tool for the solution of a diversity of chemical engineering problems. Specifically, this unit consists of two core modules: MODULE A: Applied Statistics for Chemical Engineers and MODULE B: Applied Numerical Methods for Chemical Engineers. These modules aim at furthering knowledge by extending skills in statistical analysis and Chemical Engineering computations. This unit will also enable the development of a systematic approach to solving mathematically oriented Chemical Engineering problems, which will help with making sound engineering decisions. In addition, there will be considerable time spent during the semester on advanced topics related to mathematical analysis techniques in engineering and recent associated developments.


Academic unit Chemical and Biomolecular Engineering
Unit code CHNG9202
Unit name Applied Mathematics for Chemical Engineers
Session, year
Semester 1, 2020
Attendance mode Normal day
Location Camperdown/Darlington, Sydney
Credit points 6

Enrolment rules

CHNG2802 OR CHNG5702
Assumed knowledge

Enrolment in this unit of study assumes that first year undergraduate core maths, science and engineering UoS (or their equivalent) have been successfully completed.

Available to study abroad and exchange students


Teaching staff and contact details

Coordinator Alejandro Montoya,
Type Description Weight Due Length
Final exam Final Exam
Written examination
25% Formal exam period 2.5 hours
Outcomes assessed: LO1 LO7 LO6 LO5 LO4 LO3 LO2
Online task Online assessments
10% Multiple weeks 1 hour
Outcomes assessed: LO2 LO3 LO4 LO5 LO6
Tutorial quiz Design of Experiments
20% Week 05 2 hours
Outcomes assessed: LO2 LO3
Assignment group assignment Project: Design of Experiments
Submission of report and oral presentation
25% Week 07 2 h
Outcomes assessed: LO1 LO2
Tutorial quiz Data analysis in Chemical Engineering
20% Week 12 2 hours
Outcomes assessed: LO2 LO4 LO5
group assignment = group assignment ?

Detailed information for each assessment can be found on Canvas.

Assessment criteria

The University awards common result grades, set out in the Coursework Policy 2014 (Schedule 1).

As a general guide, a high distinction indicates work of an exceptional standard, a distinction a very high standard, a credit a good standard, and a pass an acceptable standard.

Result name

Mark range


High distinction

85 - 100



75 - 84



65 - 74



50 - 64



0 - 49

When you don’t meet the learning outcomes of the unit to a satisfactory standard.

For more information see

Late submission

In accordance with University policy, these penalties apply when written work is submitted after 11:59pm on the due date:

  • Deduction of 5% of the maximum mark for each calendar day after the due date.
  • After ten calendar days late, a mark of zero will be awarded.

Special consideration

If you experience short-term circumstances beyond your control, such as illness, injury or misadventure or if you have essential commitments which impact your preparation or performance in an assessment, you may be eligible for special consideration or special arrangements.

Academic integrity

The Current Student website provides information on academic integrity and the resources available to all students. The University expects students and staff to act ethically and honestly and will treat all allegations of academic integrity breaches seriously.

We use similarity detection software to detect potential instances of plagiarism or other forms of academic integrity breach. If such matches indicate evidence of plagiarism or other forms of academic integrity breaches, your teacher is required to report your work for further investigation.

You may only use artificial intelligence and writing assistance tools in assessment tasks if you are permitted to by your unit coordinator, and if you do use them, you must also acknowledge this in your work, either in a footnote or an acknowledgement section.

Studiosity is permitted for postgraduate units unless otherwise indicated by the unit coordinator. The use of this service must be acknowledged in your submission.

WK Topic Learning activity Learning outcomes
Week 01 Review: introduction to Matlab, statistical distributions and their properties Computer laboratory (4 hr) LO4
Week 02 Basics of design of experiments Lecture and tutorial (4 hr) LO1 LO2 LO3
Week 03 Statistical quality control analysis Lecture and tutorial (4 hr) LO1 LO2 LO3
Week 04 Analysis of data obtained with a design of experiments scheme: analysis of variance Lecture and tutorial (4 hr) LO1 LO2 LO3
Week 05 Analysis of data obtained with a design of experiments scheme: surface response models Lecture and tutorial (4 hr) LO1 LO2 LO3
Week 06 Application of design of experiments in the chemical industry Lecture and tutorial (4 hr) LO1 LO2 LO3
Week 07 Submission and oral presentations of practical project Project (4 hr) LO1
Week 08 Review: introduction to Matlab, Making loops and Matlab M-files Computer laboratory (4 hr) LO4
Week 09 Numerical procedures to solve typical engineering equations: least-square techniques for maximising, minimising and finding roots of a set of equations with multiple variables Lecture and tutorial (4 hr) LO4 LO5 LO6 LO7
Week 10 Differential equations relevant to chemical engineering with initial conditions Lecture and tutorial (4 hr) LO4 LO5 LO6 LO7
Week 11 Differential equations relevant to chemical engineering with boundary conditions Lecture and tutorial (4 hr) LO4 LO5 LO6 LO7
Week 12 Application of Laplace transform in chemical engineering Lecture and tutorial (4 hr) LO6 LO7
Week 13 Review of content Lecture and tutorial (4 hr) LO1 LO2 LO3 LO4 LO5 LO6 LO7

Attendance and class requirements

Attendance: You must attend and participate in face-to-face meetings and participate in the collaborative group learning activities. We understand that unavoidable commitments may occasionally prevent some people from attending every session. However, we consider our designed activities and meetings indispensable for your learning, so absences are regarded as exceptional, and you must notify the course administrator in advance of the meeting.

Requirements: The content of this course is fundamental to engineering, so it is important that you can independently demonstrate competency in the syllabus material. Working alone and in groups are both important components of mastering the required knowledge. Legitimate co-operation between you and your fellow students is encouraged. However, direct copying of another student’s work is plagiarism, unacceptable, and unfair to fellow students, the community and the engineering profession. Tutorial submissions that are identified as unacceptable copies will be marked as acceptable with no possibility of resubmission. You should not make your assignment available to a fellow student, but you are encouraged to help your colleges through any difficulties they may have in understanding the subject matter of this course.

Study commitment

Typically, there is a minimum expectation of 1.5-2 hours of student effort per week per credit point for units of study offered over a full semester. For a 6 credit point unit, this equates to roughly 120-150 hours of student effort in total.

Required readings

These textbooks are recommended if you are looking for a reference to consult while studying for the unit of study.


Module A: Design of Experiments for Chemical Engineers

Basic experimental strategies and data analysis for science and engineering. John Lawson and John Erjavec, CRC Press, 2017


Module B: Applied Numerical Methods for Chemical Engineers

Numerical Methods for Engineers. Steven C. Chapra and Raymond P. Canale, MacGraw Hill. 2010.


Lecture slides and tutorial notes: The lecture slides and tutorial notes will be available on a weekly base before the corresponding section.

Learning outcomes are what students know, understand and are able to do on completion of a unit of study. They are aligned with the University’s graduate qualities and are assessed as part of the curriculum.

At the completion of this unit, you should be able to:

  • LO1. effectively communicate both technical and non-technical material in written, electronic, graphics, and spoken forms
  • LO2. propose experimental and computational approaches to bring together and apply knowledge to numerically characterise, analyse and solve a wide range of engineering problems
  • LO3. use the standard techniques of statistical design of experiments to evaluate the effect of input variables in the response of chemical engineering processes
  • LO4. apply computational methods to get insights into steady and non-steady conditions of chemical engineering processes
  • LO5. fit polynomials to experimental data
  • LO6. use numerical procedures to solve typical engineering equations with multiple variables
  • LO7. write computer codes in Matlab to numerically integrate and differentiate data obtained from experimental observations.

Graduate qualities

The graduate qualities are the qualities and skills that all University of Sydney graduates must demonstrate on successful completion of an award course. As a future Sydney graduate, the set of qualities have been designed to equip you for the contemporary world.

GQ1 Depth of disciplinary expertise

Deep disciplinary expertise is the ability to integrate and rigorously apply knowledge, understanding and skills of a recognised discipline defined by scholarly activity, as well as familiarity with evolving practice of the discipline.

GQ2 Critical thinking and problem solving

Critical thinking and problem solving are the questioning of ideas, evidence and assumptions in order to propose and evaluate hypotheses or alternative arguments before formulating a conclusion or a solution to an identified problem.

GQ3 Oral and written communication

Effective communication, in both oral and written form, is the clear exchange of meaning in a manner that is appropriate to audience and context.

GQ4 Information and digital literacy

Information and digital literacy is the ability to locate, interpret, evaluate, manage, adapt, integrate, create and convey information using appropriate resources, tools and strategies.

GQ5 Inventiveness

Generating novel ideas and solutions.

GQ6 Cultural competence

Cultural Competence is the ability to actively, ethically, respectfully, and successfully engage across and between cultures. In the Australian context, this includes and celebrates Aboriginal and Torres Strait Islander cultures, knowledge systems, and a mature understanding of contemporary issues.

GQ7 Interdisciplinary effectiveness

Interdisciplinary effectiveness is the integration and synthesis of multiple viewpoints and practices, working effectively across disciplinary boundaries.

GQ8 Integrated professional, ethical, and personal identity

An integrated professional, ethical and personal identity is understanding the interaction between one’s personal and professional selves in an ethical context.

GQ9 Influence

Engaging others in a process, idea or vision.

Outcome map

Learning outcomes Graduate qualities
The assessment tasks are adjusted following previous feedback to decrease the workload on the last week of the semester


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