ENCH298-22S1 (C) Semester One 2022

# Chemical Engineering Mathematics

15 points

Details:
 Start Date: Monday, 21 February 2022 End Date: Sunday, 26 June 2022
Withdrawal Dates
Last Day to withdraw from this course:
• Without financial penalty (full fee refund): Sunday, 6 March 2022
• Without academic penalty (including no fee refund): Sunday, 15 May 2022

## Description

Modelling, analytical and numerical mathematics for solving chemical engineering problems, including algebraic systems, ordinary and partial differential equations, complex numbers, Fourier and Laplace transforms.

This course covers the mathematical concepts for solving problems in different areas of chemical engineering with emphasis on numerical methods, data-analysis, data visualisation, workflow optimisation and documentation. In addition, contemporary methods and tools are introduced for solving typical chemical engineering problems.

## Learning Outcomes

This course seeks to develop the following knowledge and skills in students:
 Numerical analysis
Students will be able to set up and solve:
o linear algebraic equation systems
o non-linear algebraic equation systems
o ordinary differential equations systems (Euler’s and Heun’s method)

 Multivariate calculus
Students will understand the physical meaning of some partial differential terms and will be able to simple manipulations such as the determination of directional derivatives.

 Mathematics of complex numbers
Students will understand the concepts of Fourier series, Fourier transforms and be able to analyse data.
Students will carry out simple Laplace transforms from the fundamental equations, and solve simple differential equations by using the Laplace transforms.

 Python and Jupyter Notebook
Students will be able to:
o code the solution in Python.
o document the solution steps and discuss and present the results in Jupyter Notebooks.

## Prerequisites

Subject to approval of the Dean of Engineering and Forestry

## Timetable Note

The course consists of three lectures (3x1h), one tutorial (1h) and one laboratory (2h) per week.

Attendance at all lectures and tutorials is highly encouraged.

## Assessment

Assessment Due Date Percentage  Description
Final Exam 45%
Laboratories 10% Laboratories will be marked on attendance and completion of lab tasks. For each computer lab up to three marks will be given (1 - attended 2 - adequate attempt 3 - good achievement).
Notebook submissions 5% For three labs, students will be required to submit well-structured, functioning and well-documented notebooks. These will be worth up to 5%. If fewer than three labs are submitted, the marks will be reduced in proportion to the number submitted.
Test 07 Apr 2022 20%
Assignment 1 03 May 2022 10%
Assignment 2 02 Jun 2022 10%

## Notes

Relation to Other Courses
This is a compulsory course which provides a basis for many other courses in chemical engineering.

## Indicative Fees

Domestic fee \$1,002.00

International fee \$5,625.00

* All fees are inclusive of NZ GST or any equivalent overseas tax, and do not include any programme level discount or additional course-related expenses.

For further information see Chemical and Process Engineering .

## All ENCH298 Occurrences

• ENCH298-22S1 (C) Semester One 2022