Use the Tab and Up, Down arrow keys to select menu items.
This course covers material in multivariable integral and differential calculus, linear algebra and statistics which is applicable to the engineering professions.
Mathematics underpins almost every aspect of modern engineering. This is reflected by the fact that all first professional year students must take EMTH210. With the centrality of this course to your professional development in mind, considerable effort has gone into selecting mathematical and statistical topics which will provide the groundwork for you to appropriately mathematise your engineering work. Throughout the course, your lecturers will also endeavour to relate the rigour of the mathematics to the practicality of the situations in which it will be applied, as we concentrate on your ability to apply the techniques to realistic situations.The following topics will be covered, subject to the time available:• partial Differentiation: chain rule, differentials, directional derivatives, gradient, divergence and curl, extreme values and Lagrange multipliers• differential Equations: first and second order linear differential equations, Laplace transforms• integration: line integrals, elements of area, change of order of integration, polar coordinates, volume elements, cylindrical and spherical coordinates• fourier series: an introduction• linear algebra: eigenvalues and eigenvectors, applications to systems of equations and geometry• statistics: discrete probability distributions, continuous random variables, transformations of random variables, expectations, multivariate distributions, linking data to probability models, the central limit theorem
Upon successful completion of the course, students will:have a good basic understanding of the above concepts and techniquesbe able to apply the above to engineering applicationsunderstand the limits of applicability of the abovebe aware of their own limits of understanding of the course topicshave been introduced to some of the historical developments of the topics, as well as the historical linkages between mathematics and engineering, although this historical aspect is not directly examinable
Subject to approval of the Dean of Engineering and Forestry
EMTH202, EMTH204, MATH201, MATH261, MATH262, MATH264
Phillip Wilson
Alex James , Maarten McKubre-Jordens , Peter Smith and David Wall
Liz Ackerley
EMTH210 homepage
Domestic fee $777.00
International fee $4,375.00
* 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 Mathematics and Statistics .