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.

Lecture A
Activity Day Time Location Weeks
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
Activity Day Time Location Weeks
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
Activity Day Time Location Weeks
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
Activity Day Time Location Weeks
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
Activity Day Time Location Weeks
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

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

Course Coordinator / Lecturer

Brendan Creutz

Course Administrator

Phillipa Gourdie

Lecturers

Rick Beatson , David Rodda and Phillipa Gourdie

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

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

Indicative Fees

Domestic fee $975.00

International fee $5,500.00

* Fees include New Zealand GST and do not include any programme level discount or additional course related expenses.

For further information see Mathematics and Statistics.

All EMTH118 Occurrences