EMTH118-24S1 (C) Semester One 2024

# Engineering Mathematics 1A

15 points

Details:
 Start Date: Monday, 19 February 2024 End Date: Sunday, 23 June 2024
Withdrawal Dates
Last Day to withdraw from this course:
• Without financial penalty (full fee refund): Sunday, 3 March 2024
• Without academic penalty (including no fee refund): Sunday, 12 May 2024

## 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) TRNS017 or 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 2024

Students must attend one activity from each section.

Activity Day Time Location Weeks Lecture A 01 Monday 10:00 - 11:00 C1 Lecture Theatre 19 Feb - 31 Mar 22 Apr - 2 Jun 02 Monday 14:00 - 15:00 C1 Lecture Theatre 19 Feb - 31 Mar 22 Apr - 2 Jun Lecture B 01 Tuesday 10:00 - 11:00 C1 Lecture Theatre 19 Feb - 31 Mar 22 Apr - 2 Jun 02 Tuesday 14:00 - 15:00 C1 Lecture Theatre 19 Feb - 31 Mar 22 Apr - 2 Jun Lecture C 01 Wednesday 10:00 - 11:00 C1 Lecture Theatre 19 Feb - 31 Mar 22 Apr - 2 Jun 02 Wednesday 13:00 - 14:00 C1 Lecture Theatre 19 Feb - 31 Mar 22 Apr - 2 Jun Lecture D 01 Thursday 10:00 - 11:00 C1 Lecture Theatre 19 Feb - 31 Mar 22 Apr - 2 Jun 02 Thursday 14:00 - 15:00 C1 Lecture Theatre 19 Feb - 31 Mar 22 Apr - 2 Jun Drop in Class A 01 Friday 13:00 - 15:00 Jack Erskine 038 Lab 4 19 Feb - 31 Mar 22 Apr - 2 Jun Tutorial A 01 Thursday 11:00 - 12:00 Rata 129 Tutorial Room 19 Feb - 31 Mar 22 Apr - 2 Jun 02 Monday 15:00 - 16:00 Rata 129 Tutorial Room 19 Feb - 31 Mar 22 Apr - 2 Jun 03 Monday 12:00 - 13:00 Rata 128 Tutorial Room 19 Feb - 31 Mar 22 Apr - 2 Jun 04 Monday 13:00 - 14:00 Rata 128 Tutorial Room 19 Feb - 31 Mar 22 Apr - 2 Jun 05 Thursday 15:00 - 16:00 Rata 128 Tutorial Room 19 Feb - 31 Mar 22 Apr - 2 Jun 06 Tuesday 16:00 - 17:00 Rata 128 Tutorial Room 19 Feb - 31 Mar 22 Apr - 2 Jun 07 Tuesday 15:00 - 16:00 Rata 129 Tutorial Room 19 Feb - 31 Mar 22 Apr - 2 Jun 08 Monday 09:00 - 10:00 Rata 129 Tutorial Room 19 Feb - 31 Mar 22 Apr - 2 Jun 09 Monday 12:00 - 13:00 Rata 129 Tutorial Room 19 Feb - 31 Mar 22 Apr - 2 Jun 10 Thursday 16:00 - 17:00 Rata 129 Tutorial Room 19 Feb - 31 Mar 22 Apr - 2 Jun 11 Thursday 09:00 - 10:00 Rata 129 Tutorial Room 19 Feb - 31 Mar 22 Apr - 2 Jun 12 Tuesday 11:00 - 12:00 Rata 129 Tutorial Room 19 Feb - 31 Mar 22 Apr - 2 Jun 13 Wednesday 14:00 - 15:00 Rata 129 Tutorial Room 19 Feb - 31 Mar 22 Apr - 2 Jun 14 Monday 13:00 - 14:00 Rata 129 Tutorial Room 19 Feb - 31 Mar 22 Apr - 2 Jun 15 Thursday 12:00 - 13:00 Rata 128 Tutorial Room 19 Feb - 31 Mar 22 Apr - 2 Jun 16 Wednesday 12:00 - 13:00 Rata 129 Tutorial Room 19 Feb - 31 Mar 22 Apr - 2 Jun 17 Thursday 13:00 - 14:00 Rata 129 Tutorial Room 19 Feb - 31 Mar 22 Apr - 2 Jun 18 Tuesday 12:00 - 13:00 Rata 128 Tutorial Room 19 Feb - 31 Mar 22 Apr - 2 Jun 19 Wednesday 16:00 - 17:00 Rata 129 Tutorial Room 19 Feb - 31 Mar 22 Apr - 2 Jun 20 Monday 16:00 - 17:00 Rata 128 Tutorial Room 19 Feb - 31 Mar 22 Apr - 2 Jun 21 Tuesday 09:00 - 10:00 Rata 128 Tutorial Room 19 Feb - 31 Mar 22 Apr - 2 Jun 22 Wednesday 14:00 - 15:00 Rata 128 Tutorial Room 19 Feb - 31 Mar 22 Apr - 2 Jun 23 Wednesday 11:00 - 12:00 Rata 128 Tutorial Room 19 Feb - 31 Mar 22 Apr - 2 Jun 24 Tuesday 11:00 - 12:00 Rata 128 Tutorial Room 19 Feb - 31 Mar 22 Apr - 2 Jun 25 Tuesday 15:00 - 16:00 Rata 128 Tutorial Room 19 Feb - 31 Mar 22 Apr - 2 Jun 26 Monday 15:00 - 16:00 Rata 128 Tutorial Room 19 Feb - 31 Mar 22 Apr - 2 Jun 27 Wednesday 09:00 - 10:00 Rata 128 Tutorial Room 19 Feb - 31 Mar 22 Apr - 2 Jun 28 Tuesday 13:00 - 14:00 Rata 129 Tutorial Room 19 Feb - 31 Mar 22 Apr - 2 Jun 29 Tuesday 13:00 - 14:00 Rata 128 Tutorial Room 19 Feb - 31 Mar 22 Apr - 2 Jun 30 Thursday 16:00 - 17:00 Rata 128 Tutorial Room 19 Feb - 31 Mar 22 Apr - 2 Jun 31 Tuesday 16:00 - 17:00 Rata 129 Tutorial Room 19 Feb - 31 Mar 22 Apr - 2 Jun 32 Thursday 09:00 - 10:00 Rata 128 Tutorial Room 19 Feb - 31 Mar 22 Apr - 2 Jun 33 Thursday 12:00 - 13:00 Rata 129 Tutorial Room 19 Feb - 31 Mar 22 Apr - 2 Jun 34 Wednesday 10:00 - 11:00 Rata 128 Tutorial Room 19 Feb - 31 Mar 22 Apr - 2 Jun 35 Monday 16:00 - 17:00 Rata 129 Tutorial Room 19 Feb - 31 Mar 22 Apr - 2 Jun 36 Wednesday 16:00 - 17:00 Rata 128 Tutorial Room 19 Feb - 31 Mar 22 Apr - 2 Jun 37 Tuesday 12:00 - 13:00 Rata 129 Tutorial Room 19 Feb - 31 Mar 22 Apr - 2 Jun 38 Wednesday 09:00 - 10:00 Rata 129 Tutorial Room 19 Feb - 31 Mar 22 Apr - 2 Jun 39 Wednesday 11:00 - 12:00 Rata 129 Tutorial Room 19 Feb - 31 Mar 22 Apr - 2 Jun 40 Monday 09:00 - 10:00 Rata 128 Tutorial Room 19 Feb - 31 Mar 22 Apr - 2 Jun 41 Thursday 13:00 - 14:00 Rata 128 Tutorial Room 19 Feb - 31 Mar 22 Apr - 2 Jun 42 Tuesday 09:00 - 10:00 Rata 129 Tutorial Room 19 Feb - 31 Mar 22 Apr - 2 Jun 43 Thursday 11:00 - 12:00 Rata 128 Tutorial Room 19 Feb - 31 Mar 22 Apr - 2 Jun 44 Wednesday 15:00 - 16:00 Rata 129 Tutorial Room 19 Feb - 31 Mar 22 Apr - 2 Jun 45 Wednesday 12:00 - 13:00 Rata 128 Tutorial Room 19 Feb - 31 Mar 22 Apr - 2 Jun 46 Wednesday 15:00 - 16:00 Rata 128 Tutorial Room 19 Feb - 31 Mar 22 Apr - 2 Jun 47 Thursday 15:00 - 16:00 Rata 129 Tutorial Room 19 Feb - 31 Mar 22 Apr - 2 Jun 48 Monday 11:00 - 12:00 Rata 128 Tutorial Room 19 Feb - 31 Mar 22 Apr - 2 Jun 49 Monday 11:00 - 12:00 Rata 129 Tutorial Room 19 Feb - 31 Mar 22 Apr - 2 Jun 50 Monday 10:00 - 11:00 Rata 128 Tutorial Room 19 Feb - 31 Mar 22 Apr - 2 Jun 51 Tuesday 10:00 - 11:00 Rata 128 Tutorial Room 19 Feb - 31 Mar 22 Apr - 2 Jun 52 Wednesday 10:00 - 11:00 Rata 129 Tutorial Room 19 Feb - 31 Mar 22 Apr - 2 Jun

## Examination and Formal Tests

Activity Day Time Location Weeks Test A 01 Monday 19:00 - 20:30 C1 Lecture Theatre 25 Mar - 31 Mar 02 Monday 19:00 - 20:30 C2 Lecture Theatre 25 Mar - 31 Mar 03 Monday 19:00 - 20:30 C3 Lecture Theatre 25 Mar - 31 Mar 04 Monday 19:00 - 20:30 A1 Lecture Theatre 25 Mar - 31 Mar 05 Monday 19:00 - 20:30 A2 Lecture Theatre 25 Mar - 31 Mar 06 Monday 19:00 - 20:30 A3 Lecture Theatre 25 Mar - 31 Mar 07 Monday 19:00 - 20:30 E9 Lecture Theatre 25 Mar - 31 Mar 08 Monday 19:00 - 20:30 E16 Lecture Theatre 25 Mar - 31 Mar

## 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.