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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.
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.
This course seeks to develop the following knowledge and skills in students: Numerical analysisStudents will be able to set up and solve:o linear algebraic equation systemso non-linear algebraic equation systemso ordinary differential equations systems (Euler’s and Heun’s method) Multivariate calculusStudents 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 numbersStudents 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 NotebookStudents will be able to:o code the solution in Python. o document the solution steps and discuss and present the results in Jupyter Notebooks.
Subject to approval of the Dean of Engineering and Forestry
Students must attend one activity from each section.
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.
Relation to Other CoursesThis is a compulsory course which provides a basis for many other courses in chemical engineering.
Domestic fee $1,030.00
International fee $5,750.00
* 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