EMTH118-22S1 (C) Semester One 2022

# Engineering Mathematics 1A

15 points

Details:
 Start Date: Monday, 21 February 2022 End Date: Sunday, 26 June 2022
Withdrawal Dates
Last Day to withdraw from this course:
• Without financial penalty (full fee refund): Sunday, 6 March 2022
• Without academic penalty (including no fee refund): Sunday, 15 May 2022

## 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 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.

## Prerequisites

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 2022

Students must attend one activity from each section.

Activity Day Time Location Weeks Lecture A 01 Monday 09:00 - 10:00 C1 Lecture Theatre 21 Feb - 10 Apr 2 May - 5 Jun 02 Monday 14:00 - 15:00 C1 Lecture Theatre 21 Feb - 10 Apr 2 May - 5 Jun Lecture B 01 Tuesday 09:00 - 10:00 C1 Lecture Theatre 21 Feb - 10 Apr 2 May - 5 Jun 02 Tuesday 14:00 - 15:00 C1 Lecture Theatre 21 Feb - 10 Apr 2 May - 5 Jun Lecture C 01 Wednesday 09:00 - 10:00 C1 Lecture Theatre 21 Feb - 10 Apr 2 May - 5 Jun 02 Wednesday 14:00 - 15:00 C1 Lecture Theatre 21 Feb - 10 Apr 2 May - 5 Jun Lecture D 01 Thursday 09:00 - 10:00 C1 Lecture Theatre 21 Feb - 10 Apr 2 May - 5 Jun 02 Thursday 14:00 - 15:00 C1 Lecture Theatre 21 Feb - 10 Apr 2 May - 5 Jun Drop in Class A 02 Monday 15:00 - 16:00 Eng Core 128 Tutorial Room 21 Feb - 10 Apr 2 May - 5 Jun 03 Monday 15:00 - 16:00 Eng Core 129 Tutorial Room 21 Feb - 10 Apr 2 May - 5 Jun 04 Thursday 16:00 - 17:00 Eng Core 129 Tutorial Room 21 Feb - 10 Apr 2 May - 5 Jun 05 Thursday 16:00 - 17:00 Eng Core 128 Tutorial Room 21 Feb - 10 Apr 2 May - 5 Jun 16 Tuesday 15:00 - 16:00 Eng Core 128 Tutorial Room 21 Feb - 10 Apr 2 May - 5 Jun 17 Tuesday 15:00 - 16:00 Eng Core 129 Tutorial Room 21 Feb - 10 Apr 2 May - 5 Jun 18 Tuesday 16:00 - 17:00 Eng Core 129 Tutorial Room 21 Feb - 10 Apr 2 May - 5 Jun 19 Tuesday 16:00 - 17:00 Eng Core 128 Tutorial Room 21 Feb - 10 Apr 2 May - 5 Jun 30 Wednesday 15:00 - 16:00 Eng Core 128 Tutorial Room 21 Feb - 10 Apr 2 May - 5 Jun 31 Wednesday 15:00 - 16:00 Eng Core 129 Tutorial Room 21 Feb - 10 Apr 2 May - 5 Jun 32 Wednesday 16:00 - 17:00 Eng Core 129 Tutorial Room 21 Feb - 10 Apr 2 May - 5 Jun 33 Wednesday 16:00 - 17:00 Eng Core 128 Tutorial Room 21 Feb - 10 Apr 2 May - 5 Jun 43 Thursday 15:00 - 16:00 Eng Core 129 Tutorial Room 21 Feb - 10 Apr 2 May - 5 Jun 44 Thursday 15:00 - 16:00 Eng Core 128 Tutorial Room 21 Feb - 10 Apr 2 May - 5 Jun 45 Monday 16:00 - 17:00 Eng Core 129 Tutorial Room 21 Feb - 10 Apr 2 May - 5 Jun 46 Monday 16:00 - 17:00 Eng Core 128 Tutorial Room 21 Feb - 10 Apr 2 May - 5 Jun

## Examination and Formal Tests

Activity Day Time Location Test A 01 Thursday 18:30 - 19:30 21 Mar - 27 Mar Test B 01 Thursday 18:30 - 19:30 16 May - 22 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 ; Eighth edition; Cengage Learning, 2016.