EMTH119-13S2 (C) Semester Two 2013

Engineering Mathematics 1B

15 points

Details:
Start Date: Monday, 8 July 2013
End Date: Sunday, 10 November 2013
Withdrawal Dates
Last Day to withdraw from this course:
  • Without financial penalty (full fee refund): Friday, 19 July 2013
  • Without academic penalty (including no fee refund): Friday, 4 October 2013

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.

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

Rick Beatson

Assessment

Assessment Due Date Percentage 
Tutorials 10%
MapleTA Modules 10%
Mid-Course Test 30%
Final Examination 50%

Textbooks / Resources

Required Texts

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

Indicative Fees

Domestic fee $808.00

International fee $4,550.00

* 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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