ENCH298-21S1 (C) Semester One 2021

# Chemical Engineering Mathematics

15 points

Details:
 Start Date: Monday, 22 February 2021 End Date: Sunday, 27 June 2021
Withdrawal Dates
Last Day to withdraw from this course:
• Without financial penalty (full fee refund): Sunday, 7 March 2021
• Without academic penalty (including no fee refund): Friday, 14 May 2021

## 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.

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

## Learning Outcomes

Students should be able to:
1. Set up and solve systems of linear algebraic equations using Matlab
2. Set up and solve systems of non-linear algebraic equations using Newton’s method in Matlab
3. Set up and solve systems of differential equations using analytical methods, Euler’s method, Heun’s method and ode routines in Matlab
4. Understand the physical meaning of some partial differential terms and be able to do simple manipulations such as determination of directional derivatives.
5. Further develop skills in the mathematics of complex numbers.
6. Understand the concepts of Fourier series, Fourier transforms and be able to analyse data using Matlab.
7. Carry out simple Laplace transforms from the fundamental equations, and solve simple differential equations by using Laplace transforms.
8. Choose appropriate methods from the list above for the solution of engineering models

## Prerequisites

Subject to approval of the Dean of Engineering and Forestry

## Timetable Note

Course Requirements
Lectures: Three per week.
Laboratories: Fridays 9 am - 11 am in the the level 3 Engineering computer lab.  This is mostly for the development of programming skills for the implementation of numerical methods using Matlab and Excel.

Attendance at all lectures is highly encouraged. Completion of all assignments, tests, and exams is required.

## Lecturers

General Policies of the University
Students may obtain the general policies of the University from the website.  For example:

Special considerations: http://www.canterbury.ac.nz/study/special-consideration/

Academic Appeals of Assessments: Students with concerns about assessment processes or grades should be advised to speak first with the relevant lecturer. If the matter cannot be resolved, then the student should meet and discuss the matter with the Head of Department/School and thereafter follow the procedures outlined in the University procedures http://www.canterbury.ac.nz/media/documents/postgraduate-/Academic-Appeals-Grievances-Principles-Procedures.pdf  and regulations http://www.canterbury.ac.nz/regulations/general-regulations/academic-appeals-and-grievance-regulations/

Reconsideration of grades: If you are concerned that your final grade may be incorrect it is suggested (for CAPE) that you make an informal query to the course coordinator, but you may follow the official procedures: http://www.canterbury.ac.nz/study/examinations/result-dates-and-appeals/

Disabilities: http://www.canterbury.ac.nz/disability/

## Assessment

Assessment Due Date Percentage  Description
Final Exam 45%
Laboratories 10% Based on attendance and completion of lab tasks
Matlab Code 5% After three of the labs students will be required to submit well-structured, functioning code for one of the problems. These will be worth up to 5%, with the best of the three scores being used. If fewer than three programs are submitted, the marks will be reduced in proportion to the number submitted.
Assignment 1 01 Apr 2021 10%
Test 30 Apr 2021 20% In lecture subject to confirmation.
Assignment 2 20 May 2021 10%

## Notes

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

COURSE POLICY ON COLLABORATION AND CHEATING:
Solving problems in small teams and collaborative learning when working on assignments is encouraged. However direct copying will result in reduced or zero marks for all students involved. The assignments are mainly a tool to prepare you for the exams. We advise you to try them individually before collaborating in groups.

CONCERNS:
Students with concerns about the course should contact any of the lecturers listed above, the 2nd Year Director of Studies (Assoc. Prof. Ken Morison), or the Head of Department (Prof. Peter Gostomski)

## Indicative Fees

Domestic fee \$986.00

International fee \$5,500.00

* 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

• ENCH298-21S1 (C) Semester One 2021