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Modelling, and analytical and numerical mathematics for solving chemical engineering problems, including ordinary and partial differential equations, algebraic systems, Laplace and Fourier 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
This course will provide students with an opportunity to develop the Graduate Attributes specified below:
Critically competent in a core academic discipline of their award
Students know and can critically evaluate and, where applicable, apply this knowledge to topics/issues within their majoring subject.
Subject to approval of the Dean of Engineering and Forestry
COURSE REQUIREMENTSLectures: Three per week, Laboratories: Fridays 11 am -1 pm 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.WORKLOADAttendance at all lectures is highly encouraged. Completion of all assignments, tests, and exams is required.
Ken Morison
Rua Murray and Miguel Moyers Gonzalez
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 (Assoc. Prof. Peter Gostomski).
GENERAL POLICIES OF THE DEPARTMENT:Students may obtain the general policies of the University on matters such as the aegrotat applications, appeals procedures, reconsideration of grades and special provision for students with disabilities from the University Calendar. General information is available on the Learn site: 1st Pro CAPE General Information and Feedback.
RELATION TO OTHER COURSESThis is a compulsory course which provides a basis for many other courses in chemical engineering.
Lab markingFor each computer lab up to 3 marks will be given. 1 – attended 2 – adequate attempt 3 – good achievement
Domestic fee $937.00
International fee $5,125.00
* 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 .