EMTH118-23S1 (C) Semester One 2023

# Engineering Mathematics 1A

15 points

Details:
 Start Date: Monday, 20 February 2023 End Date: Sunday, 25 June 2023
Withdrawal Dates
Last Day to withdraw from this course:
• Without financial penalty (full fee refund): Sunday, 5 March 2023
• Without academic penalty (including no fee refund): Sunday, 14 May 2023

## 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

After successful completion of this course, you will be able to:
o Describe lines and planes using vector equations.
o Use vector geometry to solve angle, distance, and intersection problems.
o Understand, solve, and interpret the solutions to systems of linear equations.
o Use matrix algebra and understand the connection between matrices and linear systems.
o Solve problems involving inequalities and absolute value.
o Understand complex numbers and their algebra.
o Express complex numbers in rectangular and polar form.
o Find powers and roots of complex numbers.
o Solve problems involving exponential, log, trig and inverse trig functions.
o Understand the concept of a function and its inverse.
o Evaluate limits of functions and solve continuity problems.
o Find derivatives and use them in engineering and modelling applications.
o Find integrals and use them in engineering and modelling applications.

## 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 2023

Students must attend one activity from each section.

Activity Day Time Location Weeks Lecture A 01 Monday 10:00 - 11:00 C1 Lecture Theatre 20 Feb - 2 Apr 24 Apr - 4 Jun 02 Monday 14:00 - 15:00 C1 Lecture Theatre 20 Feb - 2 Apr 24 Apr - 4 Jun Lecture B 01 Tuesday 10:00 - 11:00 C1 Lecture Theatre 20 Feb - 2 Apr 24 Apr - 4 Jun 02 Tuesday 14:00 - 15:00 C1 Lecture Theatre 20 Feb - 2 Apr 24 Apr - 4 Jun Lecture C 01 Wednesday 10:00 - 11:00 C1 Lecture Theatre 20 Feb - 2 Apr 24 Apr - 4 Jun 02 Wednesday 14:00 - 15:00 C1 Lecture Theatre 20 Feb - 2 Apr 24 Apr - 4 Jun Lecture D 01 Thursday 10:00 - 11:00 C1 Lecture Theatre 20 Feb - 2 Apr 24 Apr - 4 Jun 02 Thursday 14:00 - 15:00 C1 Lecture Theatre 20 Feb - 2 Apr 24 Apr - 4 Jun Drop in Class A 01 Friday 14:00 - 16:00 Jack Erskine 035 Lab 2 (24/2-31/3, 5/5-2/6)Jack Erskine 436 Computer Lab (28/4) 20 Feb - 2 Apr 24 Apr - 4 Jun Tutorial A 01 Monday 09:00 - 10:00 Rata 129 Tutorial Room 20 Feb - 2 Apr 24 Apr - 4 Jun 02 Monday 09:00 - 10:00 Rata 128 Tutorial Room 20 Feb - 2 Apr 24 Apr - 4 Jun 03 Monday 10:00 - 11:00 Rata 128 Tutorial Room 20 Feb - 2 Apr 24 Apr - 4 Jun 04 Monday 11:00 - 12:00 Rata 129 Tutorial Room 20 Feb - 2 Apr 24 Apr - 4 Jun 05 Monday 11:00 - 12:00 Rata 128 Tutorial Room 20 Feb - 2 Apr 24 Apr - 4 Jun 06 Monday 12:00 - 13:00 Rata 128 Tutorial Room 20 Feb - 2 Apr 24 Apr - 4 Jun 07 Monday 12:00 - 13:00 Rata 129 Tutorial Room 20 Feb - 2 Apr 24 Apr - 4 Jun 08 Monday 13:00 - 14:00 Rata 128 Tutorial Room 20 Feb - 2 Apr 24 Apr - 4 Jun 09 Monday 13:00 - 14:00 Rata 129 Tutorial Room 20 Feb - 2 Apr 24 Apr - 4 Jun 10 Monday 14:00 - 15:00 Rata 129 Tutorial Room 20 Feb - 2 Apr 24 Apr - 4 Jun 11 Monday 15:00 - 16:00 Rata 128 Tutorial Room 20 Feb - 2 Apr 24 Apr - 4 Jun 12 Monday 15:00 - 16:00 Rata 129 Tutorial Room 20 Feb - 2 Apr 24 Apr - 4 Jun 13 Monday 16:00 - 17:00 Rata 128 Tutorial Room 20 Feb - 2 Apr 24 Apr - 4 Jun 14 Monday 16:00 - 17:00 Rata 129 Tutorial Room 20 Feb - 2 Apr 24 Apr - 4 Jun 15 Tuesday 09:00 - 10:00 Rata 128 Tutorial Room 20 Feb - 2 Apr 24 Apr - 4 Jun 16 Tuesday 09:00 - 10:00 Rata 129 Tutorial Room 20 Feb - 2 Apr 24 Apr - 4 Jun 17 Tuesday 10:00 - 11:00 Rata 128 Tutorial Room 20 Feb - 2 Apr 24 Apr - 4 Jun 18 Tuesday 11:00 - 12:00 Rata 128 Tutorial Room 20 Feb - 2 Apr 24 Apr - 4 Jun 19 Tuesday 11:00 - 12:00 Rata 129 Tutorial Room 20 Feb - 2 Apr 24 Apr - 4 Jun 20 Tuesday 12:00 - 13:00 Rata 128 Tutorial Room 20 Feb - 2 Apr 24 Apr - 4 Jun 21 Tuesday 12:00 - 13:00 Rata 129 Tutorial Room 20 Feb - 2 Apr 24 Apr - 4 Jun 22 Tuesday 13:00 - 14:00 Rata 128 Tutorial Room 20 Feb - 2 Apr 24 Apr - 4 Jun 23 Tuesday 13:00 - 14:00 Rata 129 Tutorial Room 20 Feb - 2 Apr 24 Apr - 4 Jun 24 Tuesday 14:00 - 15:00 Rata 128 Tutorial Room 20 Feb - 2 Apr 24 Apr - 4 Jun 25 Tuesday 14:00 - 15:00 Rata 129 Tutorial Room 20 Feb - 2 Apr 24 Apr - 4 Jun 26 Tuesday 16:00 - 17:00 Rata 128 Tutorial Room 20 Feb - 2 Apr 24 Apr - 4 Jun 27 Tuesday 16:00 - 17:00 Rata 129 Tutorial Room 20 Feb - 2 Apr 24 Apr - 4 Jun 28 Wednesday 09:00 - 10:00 Rata 128 Tutorial Room 20 Feb - 2 Apr 24 Apr - 4 Jun 29 Wednesday 09:00 - 10:00 Rata 129 Tutorial Room 20 Feb - 2 Apr 24 Apr - 4 Jun 30 Wednesday 10:00 - 11:00 Rata 129 Tutorial Room 20 Feb - 2 Apr 24 Apr - 4 Jun 31 Wednesday 11:00 - 12:00 Rata 128 Tutorial Room 20 Feb - 2 Apr 24 Apr - 4 Jun 32 Wednesday 10:00 - 11:00 Rata 128 Tutorial Room 20 Feb - 2 Apr 24 Apr - 4 Jun 33 Wednesday 12:00 - 13:00 Rata 128 Tutorial Room 20 Feb - 2 Apr 24 Apr - 4 Jun 34 Wednesday 12:00 - 13:00 Rata 129 Tutorial Room 20 Feb - 2 Apr 24 Apr - 4 Jun 35 Wednesday 13:00 - 14:00 Rata 128 Tutorial Room 20 Feb - 2 Apr 24 Apr - 4 Jun 36 Wednesday 13:00 - 14:00 Rata 129 Tutorial Room 20 Feb - 2 Apr 24 Apr - 4 Jun 37 Wednesday 14:00 - 15:00 Rata 128 Tutorial Room 20 Feb - 2 Apr 24 Apr - 4 Jun 38 Wednesday 15:00 - 16:00 Rata 128 Tutorial Room 20 Feb - 2 Apr 24 Apr - 4 Jun 39 Wednesday 15:00 - 16:00 Rata 129 Tutorial Room 20 Feb - 2 Apr 24 Apr - 4 Jun 40 Wednesday 16:00 - 17:00 Rata 128 Tutorial Room 20 Feb - 2 Apr 24 Apr - 4 Jun 41 Monday 14:00 - 15:00 Rata 128 Tutorial Room 20 Feb - 2 Apr 24 Apr - 4 Jun 42 Tuesday 15:00 - 16:00 Rata 128 Tutorial Room 20 Feb - 2 Apr 24 Apr - 4 Jun 43 Tuesday 10:00 - 11:00 Rata 129 Tutorial Room 20 Feb - 2 Apr 24 Apr - 4 Jun 44 Tuesday 15:00 - 16:00 Rata 129 Tutorial Room 20 Feb - 2 Apr 24 Apr - 4 Jun 45 Wednesday 11:00 - 12:00 Rata 129 Tutorial Room 20 Feb - 2 Apr 24 Apr - 4 Jun 46 Wednesday 16:00 - 17:00 Rata 129 Tutorial Room 20 Feb - 2 Apr 24 Apr - 4 Jun 47 Monday 10:00 - 11:00 Rata 129 Tutorial Room 20 Feb - 2 Apr 24 Apr - 4 Jun 48 Wednesday 14:00 - 15:00 Rata 129 Tutorial Room 20 Feb - 2 Apr 24 Apr - 4 Jun 49 Wednesday 08:00 - 09:00 Rata 129 Tutorial Room 20 Feb - 2 Apr 24 Apr - 4 Jun

## Examination and Formal Tests

Activity Day Time Location Weeks Test A 01 Monday 14:00 - 15:00 Jack Erskine 033 Lab 1 24 Apr - 30 Apr 02 Monday 14:00 - 15:00 Jack Erskine 038 Lab 4 24 Apr - 30 Apr 03 Monday 15:00 - 16:00 Jack Erskine 033 Lab 1 24 Apr - 30 Apr 04 Monday 15:00 - 16:00 Jack Erskine 038 Lab 4 24 Apr - 30 Apr 05 Monday 16:00 - 17:00 Jack Erskine 033 Lab 1 24 Apr - 30 Apr 06 Monday 16:00 - 17:00 Jack Erskine 038 Lab 4 24 Apr - 30 Apr 07 Monday 17:00 - 18:00 Jack Erskine 033 Lab 1 24 Apr - 30 Apr 08 Monday 17:00 - 18:00 Jack Erskine 038 Lab 4 24 Apr - 30 Apr 09 Monday 18:00 - 19:00 Jack Erskine 033 Lab 1 24 Apr - 30 Apr 10 Monday 18:00 - 19:00 Jack Erskine 038 Lab 4 24 Apr - 30 Apr 11 Monday 19:00 - 20:00 Jack Erskine 033 Lab 1 24 Apr - 30 Apr 12 Monday 19:00 - 20:00 Jack Erskine 038 Lab 4 24 Apr - 30 Apr 13 Wednesday 14:00 - 15:00 Jack Erskine 035 Lab 2 24 Apr - 30 Apr 14 Wednesday 15:00 - 16:00 Jack Erskine 035 Lab 2 24 Apr - 30 Apr 15 Wednesday 16:00 - 17:00 Jack Erskine 035 Lab 2 24 Apr - 30 Apr 16 Wednesday 17:00 - 18:00 Jack Erskine 035 Lab 2 24 Apr - 30 Apr 17 Wednesday 18:00 - 19:00 Jack Erskine 035 Lab 2 24 Apr - 30 Apr 18 Wednesday 19:00 - 20:00 Jack Erskine 035 Lab 2 24 Apr - 30 Apr 19 Thursday 16:00 - 17:00 Jack Erskine 035 Lab 2 24 Apr - 30 Apr 20 Thursday 17:00 - 18:00 Jack Erskine 035 Lab 2 24 Apr - 30 Apr 21 Thursday 18:00 - 19:00 Jack Erskine 035 Lab 2 24 Apr - 30 Apr 22 Thursday 19:00 - 20:00 Jack Erskine 035 Lab 2 24 Apr - 30 Apr 23 Friday 12:00 - 13:00 Jack Erskine 035 Lab 2 24 Apr - 30 Apr 24 Friday 13:00 - 14:00 Jack Erskine 035 Lab 2 24 Apr - 30 Apr 25 Friday 14:00 - 15:00 Jack Erskine 035 Lab 2 24 Apr - 30 Apr 26 Friday 15:00 - 16:00 Jack Erskine 035 Lab 2 24 Apr - 30 Apr 27 Friday 16:00 - 17:00 Jack Erskine 035 Lab 2 24 Apr - 30 Apr 28 Friday 17:00 - 18:00 Jack Erskine 035 Lab 2 24 Apr - 30 Apr 29 Friday 14:00 - 15:00 Jack Erskine 442 Computer Lab 24 Apr - 30 Apr 30 Friday 15:00 - 16:00 Jack Erskine 442 Computer Lab 24 Apr - 30 Apr 31 Friday 16:00 - 17:00 Jack Erskine 442 Computer Lab 24 Apr - 30 Apr 33 Friday 16:00 - 17:00 Jack Erskine 033 Lab 1 1 May - 7 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.

## Indicative Fees

Domestic fee \$1,030.00

International fee \$5,750.00

* 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

• EMTH118-23S1 (D) Semester One 2023 (Distance) - Not Offered - see department for alternatives
• EMTH118-23S1 (C) Semester One 2023
• EMTH118-23S2 (C) Semester Two 2023