EMTH118-21S1 (C) Semester One 2021

Engineering Mathematics 1A

15 points

Details:
Start Date: Monday, 22 February 2021
End Date: Sunday, 27 June 2021
Withdrawal Dates
Last Day to withdraw from this course:
  • Without financial penalty (full fee refund): Sunday, 7 March 2021
  • Without academic penalty (including no fee refund): Friday, 14 May 2021

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.

Contact person for this course: Phillipa Gourdie

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 2021

Students must attend one activity from each section.

Lecture A
Activity Day Time Location Weeks
01 Tuesday 10:00 - 11:00 C1 Lecture Theatre
22 Feb - 4 Apr
26 Apr - 6 Jun
02 Tuesday 13:00 - 14:00 C1 Lecture Theatre
22 Feb - 4 Apr
26 Apr - 6 Jun
Lecture B
Activity Day Time Location Weeks
01 Wednesday 10:00 - 11:00 C1 Lecture Theatre
22 Feb - 4 Apr
26 Apr - 6 Jun
02 Wednesday 13:00 - 14:00 C1 Lecture Theatre
22 Feb - 4 Apr
26 Apr - 6 Jun
Lecture C
Activity Day Time Location Weeks
01 Thursday 10:00 - 11:00 C1 Lecture Theatre
22 Feb - 4 Apr
26 Apr - 6 Jun
02 Thursday 13:00 - 14:00 C1 Lecture Theatre
22 Feb - 4 Apr
26 Apr - 6 Jun
Lecture D
Activity Day Time Location Weeks
01 Friday 10:00 - 11:00 C1 Lecture Theatre
22 Feb - 28 Mar
26 Apr - 6 Jun
02 Friday 13:00 - 14:00 C1 Lecture Theatre
22 Feb - 28 Mar
26 Apr - 6 Jun
Tutorial A
Activity Day Time Location Weeks
01 Monday 09:00 - 10:00 Psychology - Sociology 411
22 Feb - 4 Apr
3 May - 6 Jun
02 Monday 09:00 - 10:00 Eng Core 128 Meeting Room
22 Feb - 4 Apr
3 May - 6 Jun
03 Monday 10:00 - 11:00 Psychology - Sociology 411
22 Feb - 4 Apr
3 May - 6 Jun
04 Monday 11:00 - 12:00 Psychology - Sociology 411
22 Feb - 4 Apr
3 May - 6 Jun
05 Monday 11:00 - 12:00 Eng Core 128 Meeting Room
22 Feb - 4 Apr
3 May - 6 Jun
06 Monday 14:00 - 15:00 Psychology - Sociology 213
22 Feb - 4 Apr
3 May - 6 Jun
07 Monday 14:00 - 15:00 Eng Core 128 Meeting Room
22 Feb - 4 Apr
3 May - 6 Jun
08 Monday 10:00 - 11:00 Eng Core 128 Meeting Room
22 Feb - 4 Apr
3 May - 6 Jun
09 Monday 15:00 - 16:00 Psychology - Sociology 213
22 Feb - 4 Apr
3 May - 6 Jun
10 Monday 15:00 - 16:00 Eng Core 128 Meeting Room
22 Feb - 4 Apr
3 May - 6 Jun
11 Monday 12:00 - 13:00 Psychology - Sociology 213
22 Feb - 4 Apr
3 May - 6 Jun
12 Tuesday 14:00 - 15:00 Eng Core 128 Meeting Room
22 Feb - 4 Apr
26 Apr - 6 Jun
13 Tuesday 14:00 - 15:00 Eng Core 129 Meeting Room
22 Feb - 4 Apr
26 Apr - 6 Jun
14 Monday 12:00 - 13:00 Eng Core 128 Meeting Room
22 Feb - 4 Apr
3 May - 6 Jun
15 Tuesday 16:00 - 17:00 Eng Core 129 Meeting Room
22 Feb - 4 Apr
26 Apr - 6 Jun
16 Tuesday 16:00 - 17:00 Eng Core 128 Meeting Room
22 Feb - 4 Apr
26 Apr - 6 Jun
17 Wednesday 11:00 - 12:00 Eng Core 129 Meeting Room
22 Feb - 4 Apr
26 Apr - 6 Jun
18 Wednesday 11:00 - 12:00 Eng Core 128 Meeting Room
22 Feb - 4 Apr
26 Apr - 6 Jun
19 Wednesday 12:00 - 13:00 Eng Core 129 Meeting Room
22 Feb - 4 Apr
26 Apr - 6 Jun
20 Wednesday 12:00 - 13:00 Eng Core 128 Meeting Room
22 Feb - 4 Apr
26 Apr - 6 Jun
21 Wednesday 16:00 - 17:00 Psychology - Sociology 413
22 Feb - 4 Apr
26 Apr - 6 Jun
22 Wednesday 14:00 - 15:00 Eng Core 129 Meeting Room
22 Feb - 4 Apr
26 Apr - 6 Jun
23 Wednesday 14:00 - 15:00 Psychology - Sociology 413
22 Feb - 4 Apr
26 Apr - 6 Jun
24 Monday 13:00 - 14:00 Eng Core 129 Meeting Room
22 Feb - 4 Apr
3 May - 6 Jun
25 Wednesday 15:00 - 16:00 Eng Core 129 Meeting Room
22 Feb - 4 Apr
26 Apr - 6 Jun
26 Wednesday 15:00 - 16:00 Psychology - Sociology 411
22 Feb - 4 Apr
26 Apr - 6 Jun
27 Tuesday 15:00 - 16:00 Eng Core 129 Meeting Room
22 Feb - 4 Apr
26 Apr - 6 Jun
28 Wednesday 16:00 - 17:00 Eng Core 129 Meeting Room
22 Feb - 4 Apr
26 Apr - 6 Jun
29 Thursday 11:00 - 12:00 Psychology - Sociology 411
22 Feb - 4 Apr
26 Apr - 6 Jun
30 Thursday 11:00 - 12:00 Eng Core 129 Meeting Room
22 Feb - 4 Apr
26 Apr - 6 Jun
31 Thursday 12:00 - 13:00 Eng Core 129 Meeting Room
22 Feb - 4 Apr
26 Apr - 6 Jun
32 Thursday 12:00 - 13:00 Psychology - Sociology 411
22 Feb - 4 Apr
26 Apr - 6 Jun
33 Thursday 14:00 - 15:00 Eng Core 128 Meeting Room
22 Feb - 4 Apr
26 Apr - 6 Jun
34 Thursday 14:00 - 15:00 Psychology - Sociology 413
22 Feb - 4 Apr
26 Apr - 6 Jun
35 Tuesday 15:00 - 16:00 Eng Core 128 Meeting Room
22 Feb - 4 Apr
26 Apr - 6 Jun
36 Thursday 15:00 - 16:00 Eng Core 128 Meeting Room
22 Feb - 4 Apr
26 Apr - 6 Jun
37 Thursday 15:00 - 16:00 Psychology - Sociology 413
22 Feb - 4 Apr
26 Apr - 6 Jun
38 Monday 16:00 - 17:00 Psychology - Sociology 213
22 Feb - 4 Apr
3 May - 6 Jun
39 Monday 16:00 - 17:00 Eng Core 128 Meeting Room
22 Feb - 4 Apr
3 May - 6 Jun
40 Tuesday 12:00 - 13:00 Psychology - Sociology 251
22 Feb - 4 Apr
26 Apr - 6 Jun
41 Thursday 16:00 - 17:00 Eng Core 128 Meeting Room
22 Feb - 4 Apr
26 Apr - 6 Jun
42 Thursday 16:00 - 17:00 Psychology - Sociology 413
22 Feb - 4 Apr
26 Apr - 6 Jun
43 Monday 13:00 - 14:00 Psychology - Sociology 251
22 Feb - 4 Apr
3 May - 6 Jun

Examination and Formal Tests

Test A
Activity Day Time Location Weeks
01 Thursday 19:00 - 20:00 C1 Lecture Theatre
22 Mar - 28 Mar
02 Thursday 19:00 - 20:00 C2 Lecture Theatre
22 Mar - 28 Mar
03 Thursday 19:00 - 20:00 C3 Lecture Theatre
22 Mar - 28 Mar
04 Thursday 19:00 - 20:00 A1 Lecture Theatre
22 Mar - 28 Mar
05 Thursday 19:00 - 20:00 A2 Lecture Theatre
22 Mar - 28 Mar
06 Thursday 19:00 - 20:00 A3 Lecture Theatre
22 Mar - 28 Mar
07 Thursday 19:00 - 20:00 E5 Lecture Theatre
22 Mar - 28 Mar
Test B
Activity Day Time Location Weeks
01 Monday 19:00 - 20:00 C1 Lecture Theatre
17 May - 23 May
02 Monday 19:00 - 20:00 C2 Lecture Theatre
17 May - 23 May
03 Monday 19:00 - 20:00 C3 Lecture Theatre
17 May - 23 May
04 Monday 19:00 - 20:00 A1 Lecture Theatre
17 May - 23 May
05 Monday 19:00 - 20:00 A2 Lecture Theatre
17 May - 23 May
06 Monday 19:00 - 20:00 A3 Lecture Theatre
17 May - 23 May
07 Monday 19:00 - 20:00 E5 Lecture Theatre
17 May - 23 May

Course Coordinator / Lecturer

Brendan Creutz

Lecturers

Phillipa Gourdie and David Rodda

Assessment

Assessment Due Date Percentage 
Tutorial preparation and participation 10%
Online quizzes 10%
Tests (x2) 32%
Final Examination 48%


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; Eighth edition; Cengage Learning, 2016.

Indicative Fees

Domestic fee $986.00

International fee $5,500.00

* 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.

All EMTH118 Occurrences