EMTH119-19S2 (C) Semester Two 2019

Engineering Mathematics 1B

15 points

Details:
Start Date: Monday, 15 July 2019
End Date: Sunday, 10 November 2019
Withdrawal Dates
Last Day to withdraw from this course:
  • Without financial penalty (full fee refund): Friday, 26 July 2019
  • Without academic penalty (including no fee refund): Friday, 27 September 2019

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 2019

Students must attend one activity from each section.

Lecture A
Activity Day Time Location Weeks
01 Monday 08:00 - 09:00 C1 Lecture Theatre
15 Jul - 25 Aug
9 Sep - 20 Oct
02 Monday 12:00 - 13:00 C1 Lecture Theatre
15 Jul - 25 Aug
9 Sep - 20 Oct
Lecture B
Activity Day Time Location Weeks
01 Tuesday 08:00 - 09:00 C1 Lecture Theatre
15 Jul - 25 Aug
9 Sep - 20 Oct
02 Tuesday 12:00 - 13:00 C1 Lecture Theatre
15 Jul - 25 Aug
9 Sep - 20 Oct
Lecture C
Activity Day Time Location Weeks
01 Wednesday 08:00 - 09:00 C1 Lecture Theatre
15 Jul - 25 Aug
9 Sep - 20 Oct
02 Wednesday 12:00 - 13:00 C1 Lecture Theatre
15 Jul - 25 Aug
9 Sep - 20 Oct
Lecture D
Activity Day Time Location Weeks
01 Thursday 08:00 - 09:00 C1 Lecture Theatre
15 Jul - 25 Aug
9 Sep - 20 Oct
02 Thursday 12:00 - 13:00 C1 Lecture Theatre
15 Jul - 25 Aug
9 Sep - 20 Oct
Tutorial A
Activity Day Time Location Weeks
01 Monday 09:00 - 10:00 Psychology - Sociology 210 22 Jul - 25 Aug
9 Sep - 20 Oct
03 Monday 10:00 - 11:00 Psychology - Sociology 210 22 Jul - 25 Aug
9 Sep - 20 Oct
04 Monday 10:00 - 11:00 Psychology - Sociology 213 22 Jul - 25 Aug
9 Sep - 20 Oct
05 Wednesday 15:00 - 16:00 Psychology - Sociology 210 22 Jul - 25 Aug
9 Sep - 20 Oct
06 Wednesday 15:00 - 16:00 Psychology - Sociology 213 22 Jul - 25 Aug
9 Sep - 20 Oct
07 Monday 13:00 - 14:00 Psychology - Sociology 213 22 Jul - 25 Aug
9 Sep - 20 Oct
08 Monday 13:00 - 14:00 Psychology - Sociology 411 22 Jul - 25 Aug
9 Sep - 20 Oct
09 Monday 14:00 - 15:00 Psychology - Sociology 213 22 Jul - 25 Aug
9 Sep - 20 Oct
10 Monday 14:00 - 15:00 Psychology - Sociology 413 22 Jul - 25 Aug
9 Sep - 20 Oct
12 Monday 15:00 - 16:00 Psychology - Sociology 213 22 Jul - 25 Aug
9 Sep - 20 Oct
13 Monday 16:00 - 17:00 Psychology - Sociology 213 22 Jul - 25 Aug
9 Sep - 20 Oct
14 Monday 16:00 - 17:00 Psychology - Sociology 210 22 Jul - 25 Aug
9 Sep - 20 Oct
17 Tuesday 09:00 - 10:00 Psychology - Sociology 213 22 Jul - 25 Aug
9 Sep - 20 Oct
18 Tuesday 09:00 - 10:00 Psychology - Sociology 413 22 Jul - 25 Aug
9 Sep - 20 Oct
19 Tuesday 10:00 - 11:00 Psychology - Sociology 213 22 Jul - 25 Aug
9 Sep - 20 Oct
20 Tuesday 10:00 - 11:00 Psychology - Sociology 251 22 Jul - 25 Aug
9 Sep - 20 Oct
21 Tuesday 11:00 - 12:00 Psychology - Sociology 413 22 Jul - 25 Aug
9 Sep - 20 Oct
22 Tuesday 11:00 - 12:00 Psychology - Sociology 213 22 Jul - 25 Aug
9 Sep - 20 Oct
23 Tuesday 13:00 - 14:00 Psychology - Sociology 307 22 Jul - 25 Aug
9 Sep - 20 Oct
24 Tuesday 13:00 - 14:00 Psychology - Sociology 213 22 Jul - 25 Aug
9 Sep - 20 Oct
25 Tuesday 14:00 - 15:00 Psychology - Sociology 210 22 Jul - 25 Aug
9 Sep - 20 Oct
26 Tuesday 14:00 - 15:00 Psychology - Sociology 213 22 Jul - 25 Aug
9 Sep - 20 Oct
27 Tuesday 15:00 - 16:00 Psychology - Sociology 210 22 Jul - 25 Aug
9 Sep - 20 Oct
28 Tuesday 15:00 - 16:00 Psychology - Sociology 213 22 Jul - 25 Aug
9 Sep - 20 Oct
30 Tuesday 16:00 - 17:00 Psychology - Sociology 213 22 Jul - 25 Aug
9 Sep - 20 Oct
31 Wednesday 14:00 - 15:00 Psychology - Sociology 413 22 Jul - 25 Aug
9 Sep - 20 Oct
33 Wednesday 09:00 - 10:00 Psychology - Sociology 411 22 Jul - 25 Aug
9 Sep - 20 Oct
34 Wednesday 09:00 - 10:00 Psychology - Sociology 413 22 Jul - 25 Aug
9 Sep - 20 Oct
35 Wednesday 10:00 - 11:00 Psychology - Sociology 411 22 Jul - 25 Aug
9 Sep - 20 Oct
36 Wednesday 10:00 - 11:00 Psychology - Sociology 413 22 Jul - 25 Aug
9 Sep - 20 Oct
37 Wednesday 11:00 - 12:00 Psychology - Sociology 411 22 Jul - 25 Aug
9 Sep - 20 Oct
38 Wednesday 11:00 - 12:00 Psychology - Sociology 413 22 Jul - 25 Aug
9 Sep - 20 Oct
39 Wednesday 13:00 - 14:00 Psychology - Sociology 213 22 Jul - 25 Aug
9 Sep - 20 Oct
41 Wednesday 14:00 - 15:00 Psychology - Sociology 210 22 Jul - 25 Aug
9 Sep - 20 Oct

Examination and Formal Tests

Test A
Activity Day Time Location Weeks
01 Monday 18:30 - 20:00 C1 Lecture Theatre 19 Aug - 25 Aug
02 Monday 18:30 - 20:00 C2 Lecture Theatre 19 Aug - 25 Aug
03 Monday 18:30 - 20:00 C3 Lecture Theatre 19 Aug - 25 Aug
05 Monday 18:30 - 20:00 A1 Lecture Theatre 19 Aug - 25 Aug
06 Monday 18:30 - 20:00 A2 Lecture Theatre 19 Aug - 25 Aug
07 Monday 18:30 - 20:00 A3 Lecture Theatre 19 Aug - 25 Aug
Test B
Activity Day Time Location Weeks
01 Wednesday 08:00 - 09:00 Jack Erskine 035 Lab 2 30 Sep - 6 Oct
02 Wednesday 09:00 - 10:00 Jack Erskine 035 Lab 2 30 Sep - 6 Oct
03 Wednesday 10:00 - 11:00 Jack Erskine 035 Lab 2 30 Sep - 6 Oct
04 Wednesday 11:00 - 12:00 Jack Erskine 035 Lab 2 30 Sep - 6 Oct
05 Wednesday 12:00 - 13:00 Jack Erskine 035 Lab 2 30 Sep - 6 Oct
06 Wednesday 13:00 - 14:00 Jack Erskine 035 Lab 2 30 Sep - 6 Oct
07 Wednesday 14:00 - 15:00 Jack Erskine 035 Lab 2 30 Sep - 6 Oct
08 Wednesday 15:00 - 16:00 Jack Erskine 035 Lab 2 30 Sep - 6 Oct
09 Wednesday 18:00 - 19:00 Jack Erskine 035 Lab 2 30 Sep - 6 Oct
10 Wednesday 19:00 - 20:00 Jack Erskine 035 Lab 2 30 Sep - 6 Oct
11 Thursday 08:00 - 09:00 Jack Erskine 035 Lab 2 30 Sep - 6 Oct
12 Thursday 09:00 - 10:00 Jack Erskine 035 Lab 2 30 Sep - 6 Oct
13 Thursday 12:00 - 13:00 Jack Erskine 035 Lab 2 30 Sep - 6 Oct
14 Thursday 13:00 - 14:00 Jack Erskine 035 Lab 2 30 Sep - 6 Oct
15 Thursday 14:00 - 15:00 Jack Erskine 035 Lab 2 30 Sep - 6 Oct
16 Thursday 15:00 - 16:00 Jack Erskine 035 Lab 2 30 Sep - 6 Oct
17 Thursday 18:00 - 19:00 Jack Erskine 035 Lab 2 30 Sep - 6 Oct
18 Thursday 19:00 - 20:00 Jack Erskine 035 Lab 2 30 Sep - 6 Oct

Course Coordinator

Ngin-Tee Koh

Course Administrator

Phillipa Gourdie

Lecturers

Carl Scarrott , Phillipa Gourdie and Gunter Steinke

Assessment

Assessment Due Date Percentage 
Weekly tutorials 5%
Weekly online quizzes 10%
Test 25%
Online test 10%
Final examination 50%

Textbooks / Resources

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

Indicative Fees

Domestic fee $956.00

International fee $5,250.00

* 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