EMTH118-13S1 (C) Semester One 2013

# Engineering Mathematics 1A

 15 points18 Feb 2013 - 23 Jun 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

 Lectures Streams Day Time Where Notes Stream 01 Monday , Tuesday , Wednesday 8:00am-9:00am C1 Lecture Theatre 22 Apr - 2 Jun Thursday 8:00am-9:00am C1 Lecture Theatre 29 Apr - 2 Jun or Stream 02 Monday , Tuesday 11:00am-12:00pm A1 Lecture Theatre 6 May - 2 Jun Wednesday 1:00pm-2:00pm A2 Lecture Theatre 6 May - 2 Jun Thursday 12:00pm-1:00pm A1 Lecture Theatre 6 May - 2 Jun

 Tutorials Streams Day Time Where Notes Stream 01 Monday 12:00pm-1:00pm Erskine 035 Lab 2 18 Feb - 31 Mar,22 Apr - 2 Jun Stream 02 Monday 1:00pm-2:00pm Erskine 035 Lab 2 18 Feb - 31 Mar,22 Apr - 2 Jun Stream 03 Monday 2:00pm-3:00pm Erskine 035 Lab 2 18 Feb - 31 Mar,22 Apr - 2 Jun Stream 04 Tuesday 10:00am-11:00am Erskine 035 Lab 2 18 Feb - 31 Mar,22 Apr - 2 Jun Stream 05 Tuesday 1:00pm-2:00pm Erskine 035 Lab 2 18 Feb - 31 Mar,22 Apr - 2 Jun Stream 06 Tuesday 2:00pm-3:00pm Erskine 035 Lab 2 18 Feb - 31 Mar,22 Apr - 2 Jun Stream 07 Tuesday 3:00pm-4:00pm Erskine 035 Lab 2 18 Feb - 31 Mar,22 Apr - 2 Jun Stream 08 Wednesday 9:00am-10:00am Erskine 035 Lab 2 18 Feb - 31 Mar,22 Apr - 2 Jun Stream 09 Wednesday 10:00am-11:00am Erskine 035 Lab 2 18 Feb - 31 Mar,22 Apr - 2 Jun Stream 10 Wednesday 11:00am-12:00pm Erskine 035 Lab 2 18 Feb - 31 Mar,22 Apr - 2 Jun Stream 11 Wednesday 2:00pm-3:00pm Erskine 035 Lab 2 22 Apr - 28 Apr Thursday 9:00am-10:00am Erskine 035 Lab 2 18 Feb - 31 Mar,29 Apr - 2 Jun Stream 12 Tuesday 12:00pm-1:00pm Erskine 035 Lab 2 22 Apr - 28 Apr Thursday 3:00pm-4:00pm Erskine 035 Lab 2 18 Feb - 31 Mar,29 Apr - 2 Jun Stream 13 Wednesday 3:00pm-4:00pm Erskine 035 Lab 2 18 Feb - 31 Mar,22 Apr - 2 Jun Stream 14 Monday 10:00am-11:00am Erskine 035 Lab 2 18 Feb - 31 Mar,22 Apr - 2 Jun Stream 15 Tuesday 9:00am-10:00am Erskine 035 Lab 2 18 Feb - 31 Mar,22 Apr - 2 Jun

## Assessment

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

## Examination and Formal Tests

 Exam Tuesday 11 Jun 2013 2:30pm-4:30pm Test Monday 11 Mar 2013 6:30pm-7:30pm A1 Lecture Theatre , C1 Lecture Theatre , C2 Lecture Theatre , C3 Lecture Theatre Test Monday 29 Apr 2013 6:30pm-8:00pm A1 Lecture Theatre , C1 Lecture Theatre , C2 Lecture Theatre , C3 Lecture Theatre

## Textbooks

#### Required Texts

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