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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.
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
Subject to approval of the Dean of Engineering and Forestry
Students must attend one activity from each section.
Course RequirementsLectures: Three per week.Tutorials: Most weeks, ThursdayLaboratories: This is mostly for the development of programming skills for the implementation of numerical methods using Matlab and Excel.WorkloadAttendance at all lectures is highly encouraged. Completion of all assignments, tests, and exams is required.
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 is 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 1st Pro Director of Studies (Assoc. Prof. Ken Morison), or the Head of Department (Prof. Peter Gostomski)General Policies of the UniversityStudents 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/
Relation to Other CoursesThis is a compulsory course which provides a basis for many other courses in chemical engineering.
Domestic fee $975.00
International fee $5,500.00
* Fees include New Zealand GST and do not include any programme level discount or additional course related expenses.
For further information see
Chemical and Process Engineering.