EMTH210-14SU2 (C) Summer Nov 2014 start

Engineering Mathematics 2

15 points

Details:
Start Date: Monday, 17 November 2014
End Date: Sunday, 14 December 2014
Withdrawal Dates
Last Day to withdraw from this course:
  • Without financial penalty (full fee refund): Friday, 21 November 2014
  • Without academic penalty (including no fee refund): Friday, 5 December 2014

Description

This course covers material in multivariable integral and differential calculus, linear algebra and statistics which is applicable to the engineering professions.

Only those who have failed EMTH210-S1 will be accepted into this summer occurrence course. Students enrolled in this course cannot be enrolled in another summer course that has teaching/learning activities in the first term (November/December) of the summer semester.


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
• probability and statistics: discrete probability distributions, continuous random variables, transformations of random variables, expectations, multivariate distributions, linking data to probability models, the central limit theorem

Learning Outcomes

  • Upon successful completion of the course, students will:

  • have a good basic understanding of the above concepts and techniques
  • be able to apply the above to engineering applications
  • understand the limits of applicability of the above
  • be aware of their own limits of understanding of the course topics
  • have 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

Prerequisites

Subject to approval of the Dean of Engineering and Forestry

Restrictions

EMTH202, EMTH204, MATH201, MATH261, MATH262, MATH264

Course Coordinator

For further information see Mathematics and Statistics Head of Department

Assessment

Classes:
9am-4pm Mondays, Wednesdays and Thursdays.

There will be four module tests worth 25% each.

The final module test will be on Monday 15 December.

Indicative Fees

Domestic fee $841.00

International fee $4,638.00

* 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 .

All EMTH210 Occurrences

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