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.

Lecture A
Activity Day Time Location Weeks
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
Activity Day Time Location Weeks
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
Activity Day Time Location Weeks
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
Activity Day Time Location Weeks
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
Activity Day Time Location Weeks
01 Friday 13:00 - 15:00 Jack Erskine 038 Lab 4
19 Feb - 31 Mar
22 Apr - 2 Jun
Tutorial A
Activity Day Time Location Weeks
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

Test A
Activity Day Time Location Weeks
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

Course Coordinator

Phillipa Gourdie

Lecturers

Hilary Seddon and David Rodda

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

Recommended Reading

Stewart, James; Calculus : early transcendentals ; Eighth edition; Cengage Learning, 2016.

Indicative Fees

Domestic fee $1,059.00

International fee $6,000.00

* 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 .

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