EMTH118-20S1 (C) Semester One 2020

# Engineering Mathematics 1A

15 points

Details:
 Start Date: Monday, 17 February 2020 End Date: Sunday, 21 June 2020
Withdrawal Dates
Last Day to withdraw from this course:
• Without financial penalty (full fee refund): Friday, 28 February 2020
• Without academic penalty (including no fee refund): Friday, 29 May 2020

## 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.

A pass in EMTH118 allows entry into EMTH119 and also prepares students for EMTH171 and ENGR102.

Topics:
Linear equations and matrices; functions, limits and continuity; vector geometry; differentiation; applications of differentiation; integration; and applications of integration, including an introduction to first order differential equations.

## Learning Outcomes

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

Define the key concepts in:
• systems of linear equations
• matrix algebra
• functions and their inverses as the basis for mathematical models
• functions and their graphs
• vector geometry
• single-variable calculus

Describe and interpret:
• the connection between matrices and linear systems
• solutions of linear systems geometrically, and in the context of engineering and modelling problems
• the connection between differential and integral calculus
• solutions of first order differential equations in engineering contexts
• the description of lines and planes using vectors

Use techniques from the course to:
• solve systems of linear equations by Gaussian elimination
• evaluate limits of functions and solve continuity problems
• use vector geometry to solve angle, distance, and intersection problems
• find derivatives and use them in engineering and modelling applications
• find integrals and use them in engineering and modelling applications
• solve separable first order differential equations

Identify the appropriate method of solution for problems in linear algebra and calculus.

## Pre-requisites

1) MATH101, or
2) NCEA 14 Credits (18 strongly recommended) at level 3 Mathematics (including the standards 'Apply differentiation methods in solving problems (91578)' and 'Apply integration methods in solving problems (91579)'), or
3) Cambridge: D at A level or
an A at AS level in Mathematics, or
4) IB: 4 at HL or
5 at SL in Mathematics, or
5) approval of the Head of School based on alternative prior learning.

## Restrictions

MATH102, MATH108, MATH199

## Timetable 2020

Students must attend one activity from each section.

Activity Day Time Location Weeks Lecture A 01 Monday 13:00 - 14:00 - (23/3, 20/4)Online Delivery (4/5-25/5)C1 Lecture Theatre (17/2-16/3) 17 Feb - 29 Mar 20 Apr - 26 Apr 4 May - 31 May 02 Monday 17:00 - 18:00 - (23/3, 20/4)Online Delivery (4/5-25/5)C1 Lecture Theatre (17/2-16/3) 17 Feb - 29 Mar 20 Apr - 26 Apr 4 May - 31 May Lecture B 01 Tuesday 11:00 - 12:00 - (24/3, 21/4-28/4)Online Delivery (5/5-26/5)C1 Lecture Theatre (18/2-17/3) 17 Feb - 29 Mar 20 Apr - 31 May 02 Tuesday 17:00 - 18:00 - (24/3, 21/4-28/4)Online Delivery (5/5-26/5)C1 Lecture Theatre (18/2-17/3) 17 Feb - 29 Mar 20 Apr - 31 May Lecture C 01 Wednesday 13:00 - 14:00 - (25/3, 22/4-29/4)Online Delivery (6/5-27/5)C1 Lecture Theatre (19/2-18/3) 17 Feb - 29 Mar 20 Apr - 31 May 02 Wednesday 17:00 - 18:00 - (25/3, 22/4-29/4)Online Delivery (6/5-27/5)C1 Lecture Theatre (19/2-18/3) 17 Feb - 29 Mar 20 Apr - 31 May Lecture D 01 Friday 08:00 - 09:00 - (24/4-1/5)Online Delivery (8/5-29/5)C1 Lecture Theatre (21/2-20/3) 17 Feb - 22 Mar 20 Apr - 31 May 02 Friday 11:00 - 12:00 - (24/4-1/5)Online Delivery (8/5-29/5)C1 Lecture Theatre (21/2-20/3) 17 Feb - 22 Mar 20 Apr - 31 May Tutorial A 01 Monday 09:00 - 10:00 Online Delivery 17 Feb - 29 Mar 20 Apr - 26 Apr 4 May - 31 May 02 Monday 10:00 - 11:00 17 Feb - 29 Mar 20 Apr - 26 Apr 4 May - 31 May 03 Monday 09:00 - 10:00 17 Feb - 29 Mar 20 Apr - 26 Apr 4 May - 31 May 04 Tuesday 14:00 - 15:00 17 Feb - 29 Mar 20 Apr - 31 May 05 Tuesday 14:00 - 15:00 17 Feb - 29 Mar 20 Apr - 31 May 06 Tuesday 14:00 - 15:00 17 Feb - 29 Mar 20 Apr - 31 May 07 Wednesday 14:00 - 15:00 17 Feb - 29 Mar 20 Apr - 31 May 08 Wednesday 15:00 - 16:00 17 Feb - 29 Mar 20 Apr - 31 May 09 Wednesday 16:00 - 17:00 17 Feb - 29 Mar 20 Apr - 31 May 10 Tuesday 16:00 - 17:00 17 Feb - 29 Mar 20 Apr - 31 May 11 Tuesday 16:00 - 17:00 17 Feb - 29 Mar 20 Apr - 31 May 12 Wednesday 12:00 - 13:00 17 Feb - 29 Mar 20 Apr - 31 May 13 Monday 11:00 - 12:00 17 Feb - 29 Mar 20 Apr - 26 Apr 4 May - 31 May 14 Monday 11:00 - 12:00 Online Delivery 17 Feb - 29 Mar 20 Apr - 26 Apr 4 May - 31 May 16 Monday 14:00 - 15:00 17 Feb - 29 Mar 20 Apr - 26 Apr 4 May - 31 May 17 Monday 14:00 - 15:00 Online Delivery 17 Feb - 29 Mar 20 Apr - 26 Apr 4 May - 31 May 18 Monday 14:00 - 15:00 17 Feb - 29 Mar 20 Apr - 26 Apr 4 May - 31 May 19 Monday 15:00 - 16:00 17 Feb - 29 Mar 20 Apr - 26 Apr 4 May - 31 May 20 Monday 15:00 - 16:00 17 Feb - 29 Mar 20 Apr - 26 Apr 4 May - 31 May 21 Monday 15:00 - 16:00 17 Feb - 29 Mar 20 Apr - 26 Apr 4 May - 31 May 22 Tuesday 12:00 - 13:00 17 Feb - 29 Mar 20 Apr - 31 May 23 Tuesday 12:00 - 13:00 17 Feb - 29 Mar 20 Apr - 31 May 25 Tuesday 10:00 - 11:00 17 Feb - 29 Mar 20 Apr - 31 May 26 Tuesday 10:00 - 11:00 17 Feb - 29 Mar 20 Apr - 31 May 27 Tuesday 10:00 - 11:00 17 Feb - 29 Mar 20 Apr - 31 May 29 Wednesday 11:00 - 12:00 17 Feb - 29 Mar 20 Apr - 31 May 30 Wednesday 09:00 - 10:00 17 Feb - 29 Mar 20 Apr - 31 May 31 Tuesday 15:00 - 16:00 17 Feb - 29 Mar 20 Apr - 31 May 32 Tuesday 15:00 - 16:00 17 Feb - 29 Mar 20 Apr - 31 May 33 Tuesday 15:00 - 16:00 17 Feb - 29 Mar 20 Apr - 31 May 34 Monday 16:00 - 17:00 17 Feb - 29 Mar 20 Apr - 26 Apr 4 May - 31 May 35 Monday 16:00 - 17:00 17 Feb - 29 Mar 20 Apr - 26 Apr 4 May - 31 May 36 Wednesday 16:00 - 17:00 17 Feb - 29 Mar 20 Apr - 26 Apr 4 May - 31 May 37 Tuesday 09:00 - 10:00 17 Feb - 29 Mar 20 Apr - 31 May 38 Tuesday 09:00 - 10:00 17 Feb - 29 Mar 20 Apr - 31 May 39 Tuesday 09:00 - 10:00 17 Feb - 29 Mar 20 Apr - 31 May 40 Wednesday 09:00 - 10:00 17 Feb - 29 Mar 20 Apr - 31 May 41 Wednesday 11:00 - 12:00 Online Delivery 17 Feb - 29 Mar 20 Apr - 31 May 42 Wednesday 12:00 - 13:00 17 Feb - 29 Mar 20 Apr - 31 May 43 Monday 12:00 - 13:00 17 Feb - 29 Mar 20 Apr - 26 Apr 4 May - 31 May 44 Wednesday 10:00 - 11:00 17 Feb - 29 Mar 20 Apr - 31 May

## Examination and Formal Tests

Activity Day Time Location Weeks Test A 03 Thursday 19:00 - 20:00 C3 Lecture Theatre 16 Mar - 22 Mar Test B 01 Thursday 12:00 - 20:00 11 May - 17 May

## Assessment

Note: To pass this course you must obtain a final mark of at least 50% and obtain at least 40% in the final examination.

## Textbooks / Resources

Stewart, James: Calculus Early Transcendentals. 8th edition. ISBN: 9781305272378