EMTH119-20S2 (C) Semester Two 2020

Engineering Mathematics 1B

15 points

Details:
Start Date: Monday, 13 July 2020
End Date: Sunday, 8 November 2020
Withdrawal Dates
Last Day to withdraw from this course:
  • Without financial penalty (full fee refund): Friday, 24 July 2020
  • Without academic penalty (including no fee refund): Friday, 25 September 2020

Description

A continuation of EMTH118. Topics covered include methods and Engineering applications of calculus, differential equations, and linear algebra, along with an introduction to probability. This course is a prerequisite for many courses in engineering mathematics and other subjects at 200 level.

EMTH119 consolidates concepts from EMTH118 and introduces more advanced ideas in calculus and linear algebra. It includes applications of this mathematics to applied and engineering problems.
It also incorporates some study of probability. It is a prerequisite for many courses in engineering mathematics and other subjects at the  200-level.

Topics:
First-order ordinary differential equations with applications. Review of complex numbers. Second-order ordinary differential equations with applications.
Introduction to convergence of sequences and series. Applications of differentiation to approximation. Approximation by Taylor polynomials. Landau’s notation and order of magnitude.
Determinants, eigenvalues and eigenvectors.
Probability. Sets and probability. Discrete random variables. Continuous random variables. Expectation, mean, and variance.
Techniques and applications of integration. Integration of rational functions. Arc length. Improper integrals.
Multivariate differentiation and classification of critical points.

Learning Outcomes

  • Students who have succeeded in this course will be able to
  • use calculus, algebra or probability to
      - evaluate integrals arising in mathematics and engineering
      - solve first and second order differential equations
      - find Taylor approximations to functions
      - calculate mean and variance of random variables and solve probability problems arising in engineering applications
      - calculate determinants, eigenvalues and eigenvectors
      - investigate the geometry of multivariable functions and classify critical points
  • demonstrate understanding of the mathematical topics in the course by
      - giving definitions of fundamental concepts
      - competent manipulation of functions, matrices, random variables and complex numbers
      - choosing effective solution techniques for given problems
      - verifying correctness of mathematical calculations
  • describe and interpret the meaning of mathematical solutions to engineering problems (particularly differential equations and random variables)
  • synthesise material from different sections of course (for example, using integration techniques and limit evaluation to solve differential equation or probability problems)

Pre-requisites

Restrictions

MATH103, MATH109, MATH199

Timetable 2020

Students must attend one activity from each section.

Lecture A
Activity Day Time Location Weeks
01 Monday 12:00 - 13:00 C1 Lecture Theatre
13 Jul - 23 Aug
7 Sep - 18 Oct
02 Monday 08:00 - 09:00 C3 Lecture Theatre
13 Jul - 23 Aug
7 Sep - 18 Oct
Lecture B
Activity Day Time Location Weeks
01 Tuesday 12:00 - 13:00 C1 Lecture Theatre
13 Jul - 23 Aug
7 Sep - 18 Oct
02 Tuesday 08:00 - 09:00 A1 Lecture Theatre
13 Jul - 23 Aug
7 Sep - 18 Oct
Lecture C
Activity Day Time Location Weeks
01 Thursday 08:00 - 09:00 C1 Lecture Theatre
13 Jul - 23 Aug
7 Sep - 18 Oct
02 Thursday 12:00 - 13:00 E8 Lecture Theatre
13 Jul - 23 Aug
7 Sep - 18 Oct
Lecture D
Activity Day Time Location Weeks
01 Friday 08:00 - 09:00 C1 Lecture Theatre
13 Jul - 23 Aug
7 Sep - 18 Oct
02 Friday 12:00 - 13:00 C2 Lecture Theatre
13 Jul - 23 Aug
7 Sep - 18 Oct
Tutorial A
Activity Day Time Location Weeks
01 Monday 10:00 - 11:00 Psychology - Sociology 413 20 Jul - 23 Aug
7 Sep - 18 Oct
02 Monday 11:00 - 12:00 Psychology - Sociology 456 20 Jul - 23 Aug
7 Sep - 18 Oct
03 Monday 13:00 - 14:00 Jack Erskine 240 20 Jul - 23 Aug
7 Sep - 18 Oct
04 Monday 14:00 - 15:00 Jack Erskine 235 20 Jul - 23 Aug
7 Sep - 18 Oct
05 Monday 15:00 - 16:00 Jack Erskine 121 20 Jul - 23 Aug
7 Sep - 18 Oct
06 Monday 15:00 - 16:00 Jack Erskine 111 20 Jul - 23 Aug
7 Sep - 18 Oct
07 Monday 16:00 - 17:00 Jack Erskine 121 20 Jul - 23 Aug
7 Sep - 18 Oct
08 Monday 17:00 - 18:00 Jack Erskine 121 20 Jul - 23 Aug
7 Sep - 18 Oct
09 Tuesday 09:00 - 10:00 Psychology - Sociology 411 20 Jul - 23 Aug
7 Sep - 18 Oct
10 Tuesday 10:00 - 11:00 Psychology - Sociology 411 20 Jul - 23 Aug
7 Sep - 18 Oct
11 Tuesday 12:00 - 13:00 Psychology - Sociology 411 20 Jul - 23 Aug
7 Sep - 18 Oct
12 Tuesday 13:00 - 14:00 Psychology - Sociology 411 20 Jul - 23 Aug
7 Sep - 18 Oct
13 Tuesday 14:00 - 15:00 Psychology - Sociology 411 20 Jul - 23 Aug
7 Sep - 18 Oct
14 Tuesday 15:00 - 16:00 Psychology - Sociology 411 20 Jul - 23 Aug
7 Sep - 18 Oct
15 Tuesday 16:00 - 17:00 Jack Erskine 239 20 Jul - 23 Aug
7 Sep - 18 Oct
16 Tuesday 17:00 - 18:00 Jack Erskine 241 20 Jul - 23 Aug
7 Sep - 18 Oct
17 Wednesday 08:00 - 09:00 Psychology - Sociology 213 20 Jul - 23 Aug
7 Sep - 18 Oct
18 Wednesday 09:00 - 10:00 Jack Erskine 239 20 Jul - 23 Aug
7 Sep - 18 Oct
19 Wednesday 10:00 - 11:00 Psychology - Sociology 251 20 Jul - 23 Aug
7 Sep - 18 Oct
20 Wednesday 11:00 - 12:00 Psychology - Sociology 213 20 Jul - 23 Aug
7 Sep - 18 Oct
21 Wednesday 12:00 - 13:00 Psychology - Sociology 411 20 Jul - 23 Aug
7 Sep - 18 Oct
22 Wednesday 13:00 - 14:00 Psychology - Sociology 213 20 Jul - 23 Aug
7 Sep - 18 Oct
23 Wednesday 14:00 - 15:00 Psychology - Sociology 213 20 Jul - 23 Aug
7 Sep - 18 Oct
24 Wednesday 15:00 - 16:00 Psychology - Sociology 213 20 Jul - 23 Aug
7 Sep - 18 Oct
25 Wednesday 15:00 - 16:00 Psychology - Sociology 251 20 Jul - 23 Aug
7 Sep - 18 Oct
26 Wednesday 16:00 - 17:00 Psychology - Sociology 210 20 Jul - 23 Aug
7 Sep - 18 Oct
27 Monday 10:00 - 11:00 Jack Erskine 121 20 Jul - 23 Aug
7 Sep - 18 Oct
28 Monday 11:00 - 12:00 Jack Erskine 315 20 Jul - 23 Aug
7 Sep - 18 Oct
29 Monday 12:00 - 13:00 Psychology - Sociology 456 20 Jul - 23 Aug
7 Sep - 18 Oct
30 Monday 13:00 - 14:00 Jack Erskine 315 20 Jul - 23 Aug
7 Sep - 18 Oct
31 Monday 14:00 - 15:00 Jack Erskine 240 20 Jul - 23 Aug
7 Sep - 18 Oct
32 Monday 16:00 - 17:00 Jack Erskine 235 20 Jul - 23 Aug
7 Sep - 18 Oct
33 Monday 17:00 - 18:00 Jack Erskine 241 20 Jul - 23 Aug
7 Sep - 18 Oct
34 Tuesday 09:00 - 10:00 Psychology - Sociology 213 20 Jul - 23 Aug
7 Sep - 18 Oct
35 Tuesday 10:00 - 11:00 Psychology - Sociology 213 20 Jul - 23 Aug
7 Sep - 18 Oct
36 Tuesday 11:00 - 12:00 Jack Erskine 240 20 Jul - 23 Aug
7 Sep - 18 Oct
37 Tuesday 11:00 - 12:00 Psychology - Sociology 307 20 Jul - 23 Aug
7 Sep - 18 Oct
38 Tuesday 12:00 - 13:00 Jack Erskine 242 20 Jul - 23 Aug
7 Sep - 18 Oct
39 Tuesday 13:00 - 14:00 Psychology - Sociology 307 20 Jul - 23 Aug
7 Sep - 18 Oct
40 Tuesday 14:00 - 15:00 Psychology - Sociology 307 20 Jul - 23 Aug
7 Sep - 18 Oct

Examination and Formal Tests

Test A
Activity Day Time Location Weeks
01 Monday 19:00 - 20:30 C1 Lecture Theatre 17 Aug - 23 Aug
02 Monday 19:00 - 20:30 C2 Lecture Theatre 17 Aug - 23 Aug
03 Monday 19:00 - 20:30 C3 Lecture Theatre 17 Aug - 23 Aug
04 Monday 19:00 - 20:30 A1 Lecture Theatre 17 Aug - 23 Aug
05 Monday 19:00 - 20:30 A2 Lecture Theatre 17 Aug - 23 Aug
06 Monday 19:00 - 20:30 A3 Lecture Theatre 17 Aug - 23 Aug
07 Monday 19:00 - 20:30 Meremere 108 Lecture Theatre 17 Aug - 23 Aug

Course Coordinator / Lecturer

Rua Murray

Course Administrator

Phillipa Gourdie

Lecturers

Ngin-Tee Koh , Phillipa Gourdie and Michael Langton

Textbooks / Resources

Recommended reading:
Stewart, James: Calculus Early Transcendentals. 8th edition. ISBN: 9781305272378

Indicative Fees

Domestic fee $975.00

International fee $5,500.00

* Fees include New Zealand GST and do not include any programme level discount or additional course related expenses.

For further information see Mathematics and Statistics.

All EMTH119 Occurrences