EMTH118-13S1 (C) Semester One 2013

# Engineering Mathematics 1A

15 points

Details:
 Start Date: Monday, 18 February 2013 End Date: Sunday, 23 June 2013
Withdrawal Dates
Last Day to withdraw from this course:
• Without financial penalty (full fee refund): Friday, 1 March 2013
• Without academic penalty (including no fee refund): Friday, 17 May 2013

## Description

A first course in the methods and applications of engineering mathematics. Topics include calculus, linear algebra, and modelling techniques. This Course is designed for engineering students who have done well in NCEA Mathematics with calculus.

EMTH118 is a course dealing with ideas in one-variable calculus and in linear algebra which have applications in engineering. Topics: linear equations and matrices; vector geometry; functions, limits, and continuity; differentiation; integration.
Suitable backgrounds for EMTH118 include good NCEA level 3 calculus results (see entry recommendations for recent school leavers) or a pass in MATH101. A pass in EMTH118 allows entry into EMTH119, which are both compulsory courses for the engineering intermediate year. It is also recommended preparation for EMTH171.

## Learning Outcomes

• Students who have succeeded in this course will be able to:

Define the key concepts in:
• solving systems of linear equations
• matrix algebra
• vector geometry
• functions and their inverses
• limits, derivatives and integrals of one-variable functions.

Describe and interpret:
• the connection between linear algebra and the geometry of intersection problems
• the relationships between the derivative and integral of a one-variable function.

Use techniques from the course (including the use of MATLAB or MAPLE where appropriate) to:
• solve systems of linear equations, either by elimination or by matrix algebra
• solve intersection and projection problems involving lines and planes
• evaluate limits of functions
• find derivatives and use them in a variety of applications
• find integrals and use them in a variety of applications
• solve first order differential equations, and use them in a variety of applications.

Identify the appropriate method of solution for problems in linear equations or one-variable calculus.

Evaluate the significance of mathematical solutions in the context of given problem statements.

## Restrictions

MATH102, MATH108, MATH199

## Course Coordinator

For further information see Mathematics and Statistics Head of Department

## Assessment

Assessment Due Date Percentage
Internal Assessment - TBA 60%
Final Examination 40%