EMTH119-14SU2 (C) Summer Dec 2014 start

Engineering Mathematics 1B

15 points

Details:
Start Date: Monday, 1 December 2014
End Date: Sunday, 15 February 2015
Withdrawal Dates
Last Day to withdraw from this course:
  • Without financial penalty (full fee refund): Sunday, 14 December 2014
  • Without academic penalty (including no fee refund): Sunday, 25 January 2015

Description

A continuation of EMTH118. Topics covered include methods and Engineering applications of calculus, differential equations, and linear algebra, along with an introduction to probability. This course is a prerequisite for many courses in engineering mathematics and other subjects at 200 level.

Due to the condensed nature of this course students are expected to attend every lecture AND every tutorial, at the times specified, on the following days:

Lecture Times: Tue 9 - 10.30; Wed 11 - 12.30; Thu 1 - 2:30; Fri 11 - 12.30
Tutorial Times: Tue 11 - 12; Wed 1 - 2; Thu 3 - 4; Fri 1 – 2

The official start date for the course is 1st December 2014. In the first week we will be posting self-study material and revision units in Learn. You should study these at home to prepare for the start of on-campus lectures on Tuesday 9th December. Tutorials follow every lecture, that is, each day there will be a tutorial with exercises to practise the material covered in that day's lecture. Lectures resume after the Christmas break on Tuesday 6th January, and the mid-course test is on Monday 12th January. The last lecture for the course is on Wednesday 4th February. The  exam will be held on Wednesday 11th February.

You must be able to make a commitment to being on-campus from 9th December to 19th December and 6th January to 4th February inclusive, plus the exam on 11th February, before enrolling in this course.

EMTH119 consolidates concepts from EMTH118 and introduces more advanced ideas in calculus and linear algebra. It includes applications of this mathematics to applied and engineering problems.
It also incorporates some study of probability. It is a prerequisite for many courses in engineering mathematics and other subjects at the  200-level.

Topics:
Differential equations. First-order ordinary differential equations with applications.  Second-order ordinary differential equations with applications.
Sequences and mathematical induction.  Applications of differentiation to approximation.  Approximation by Taylor polynomials. Landau’s notation and order of magnitude.
Matrices and determinants.
Probability. Sets and probability. Discrete random variables. Continuous random variables.  
Expectation, mean, and variance.
Techniques and applications of integration. Integration of rational functions.
Arc length. Improper integrals.
Vector Geometry   Projections. Parallel and intersecting planes.  Intersection and distance problems.

Learning Outcomes

  • to provide the necessary mathematical concepts and techniques required in engineering subjects
  • to consolidate and extend the ideas and techniques the concepts of calculus and linear algebra and their applications
  • to increase understanding of the mathematical foundations of the topics studied
  • to practice the application of mathematical concepts and techniques to understanding and solving problems
  • to introduce computer software used to solve mathematical problems

Prerequisites

MATH102, MATH108 or EMTH118

Restrictions

MATH103, MATH109, MATH199

Course Coordinator

Irene David

Lecturer

Phillipa Gourdie

Textbooks / Resources

Recommended reading:
Anton, Howard., Bivens, Irl., Davis, Stephen; Calculus: Early Transcendentals; 10th edition; Wiley (8th or 9th edition also suitable).

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 .

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