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.

Activity Day Time Location Weeks Lecture A 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 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 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 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 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

Activity Day Time Location Weeks Test A 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 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

## 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.