EMTH119-23S2 (C) Semester Two 2023

Engineering Mathematics 1B

15 points

Details:
Start Date: Monday, 17 July 2023
End Date: Sunday, 12 November 2023
Withdrawal Dates
Last Day to withdraw from this course:
  • Without financial penalty (full fee refund): Sunday, 30 July 2023
  • Without academic penalty (including no fee refund): Sunday, 1 October 2023

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)

Prerequisites

Restrictions

MATH103, MATH109, MATH199

Timetable 2023

Students must attend one activity from each section.

Lecture A
Activity Day Time Location Weeks
01 Monday 08:00 - 09:00 C1 Lecture Theatre
17 Jul - 27 Aug
11 Sep - 22 Oct
02 Monday 12:00 - 13:00 C1 Lecture Theatre
17 Jul - 27 Aug
11 Sep - 22 Oct
Lecture B
Activity Day Time Location Weeks
01 Tuesday 08:00 - 09:00 C1 Lecture Theatre
17 Jul - 27 Aug
11 Sep - 22 Oct
02 Tuesday 12:00 - 13:00 C1 Lecture Theatre
17 Jul - 27 Aug
11 Sep - 22 Oct
Lecture C
Activity Day Time Location Weeks
01 Wednesday 08:00 - 09:00 C1 Lecture Theatre
17 Jul - 27 Aug
11 Sep - 22 Oct
02 Wednesday 12:00 - 13:00 C1 Lecture Theatre
17 Jul - 27 Aug
11 Sep - 22 Oct
Lecture D
Activity Day Time Location Weeks
01 Thursday 08:00 - 09:00 C1 Lecture Theatre
17 Jul - 27 Aug
11 Sep - 22 Oct
02 Thursday 12:00 - 13:00 C1 Lecture Theatre
17 Jul - 27 Aug
11 Sep - 22 Oct
Tutorial A
Activity Day Time Location Weeks
01 Tuesday 11:00 - 12:00 Jack Erskine 033 Lab 1
24 Jul - 27 Aug
11 Sep - 22 Oct
02 Tuesday 12:00 - 13:00 Jack Erskine 033 Lab 1
24 Jul - 27 Aug
11 Sep - 22 Oct
03 Tuesday 13:00 - 14:00 Jack Erskine 033 Lab 1
24 Jul - 27 Aug
11 Sep - 22 Oct
04 Tuesday 14:00 - 15:00 Jack Erskine 033 Lab 1
24 Jul - 27 Aug
11 Sep - 22 Oct
05 Monday 09:00 - 10:00 Jack Erskine 033 Lab 1
24 Jul - 27 Aug
11 Sep - 22 Oct
06 Monday 10:00 - 11:00 Jack Erskine 033 Lab 1
24 Jul - 27 Aug
11 Sep - 22 Oct
07 Monday 15:00 - 16:00 Jack Erskine 033 Lab 1
24 Jul - 27 Aug
11 Sep - 22 Oct
08 Tuesday 08:00 - 09:00 Jack Erskine 033 Lab 1
24 Jul - 27 Aug
11 Sep - 22 Oct
09 Wednesday 10:00 - 11:00 Jack Erskine 033 Lab 1
24 Jul - 27 Aug
11 Sep - 22 Oct
10 Wednesday 13:00 - 14:00 Jack Erskine 033 Lab 1
24 Jul - 27 Aug
11 Sep - 22 Oct
11 Monday 16:00 - 17:00 Jack Erskine 033 Lab 1
24 Jul - 27 Aug
11 Sep - 22 Oct
12 Wednesday 15:00 - 16:00 Jack Erskine 033 Lab 1
24 Jul - 27 Aug
11 Sep - 22 Oct
13 Monday 14:00 - 15:00 Jack Erskine 033 Lab 1
24 Jul - 27 Aug
11 Sep - 22 Oct
14 Wednesday 11:00 - 12:00 Jack Erskine 033 Lab 1
24 Jul - 27 Aug
11 Sep - 22 Oct
15 Monday 13:00 - 14:00 Jack Erskine 033 Lab 1
24 Jul - 27 Aug
11 Sep - 22 Oct
16 Monday 11:00 - 12:00 Jack Erskine 033 Lab 1
24 Jul - 27 Aug
11 Sep - 22 Oct
17 Monday 09:00 - 10:00 Jack Erskine 038 Lab 4
24 Jul - 27 Aug
11 Sep - 22 Oct
18 Monday 10:00 - 11:00 Jack Erskine 038 Lab 4
24 Jul - 27 Aug
11 Sep - 22 Oct
19 Monday 11:00 - 12:00 Jack Erskine 038 Lab 4
24 Jul - 27 Aug
11 Sep - 22 Oct
20 Monday 12:00 - 13:00 Jack Erskine 038 Lab 4
24 Jul - 27 Aug
11 Sep - 22 Oct
21 Monday 13:00 - 14:00 Jack Erskine 038 Lab 4
24 Jul - 27 Aug
11 Sep - 22 Oct
22 Wednesday 14:00 - 15:00 Jack Erskine 038 Lab 4
24 Jul - 27 Aug
11 Sep - 22 Oct
23 Monday 15:00 - 16:00 Jack Erskine 038 Lab 4
24 Jul - 27 Aug
11 Sep - 22 Oct
24 Tuesday 09:00 - 10:00 Jack Erskine 038 Lab 4
24 Jul - 27 Aug
11 Sep - 22 Oct
25 Tuesday 10:00 - 11:00 Jack Erskine 038 Lab 4
24 Jul - 27 Aug
11 Sep - 22 Oct
26 Tuesday 15:00 - 16:00 Jack Erskine 038 Lab 4
24 Jul - 27 Aug
11 Sep - 22 Oct
27 Wednesday 09:00 - 10:00 Jack Erskine 038 Lab 4
24 Jul - 27 Aug
11 Sep - 22 Oct
28 Wednesday 10:00 - 11:00 Jack Erskine 038 Lab 4
24 Jul - 27 Aug
11 Sep - 22 Oct
29 Wednesday 11:00 - 12:00 Jack Erskine 038 Lab 4
24 Jul - 27 Aug
11 Sep - 22 Oct
30 Wednesday 12:00 - 13:00 Jack Erskine 038 Lab 4
24 Jul - 27 Aug
11 Sep - 22 Oct
31 Wednesday 13:00 - 14:00 Jack Erskine 436 Computer Lab
24 Jul - 27 Aug
11 Sep - 22 Oct
32 Wednesday 15:00 - 16:00 Jack Erskine 436 Computer Lab
24 Jul - 27 Aug
11 Sep - 22 Oct
33 Monday 16:00 - 17:00 Jack Erskine 436 Computer Lab
24 Jul - 27 Aug
11 Sep - 22 Oct
34 Tuesday 15:00 - 16:00 Jack Erskine 436 Computer Lab
24 Jul - 27 Aug
11 Sep - 22 Oct
35 Wednesday 14:00 - 15:00 Jack Erskine 436 Computer Lab
24 Jul - 27 Aug
11 Sep - 22 Oct
36 Monday 14:00 - 15:00 Jack Erskine 436 Computer Lab
24 Jul - 27 Aug
11 Sep - 22 Oct
37 Tuesday 13:00 - 14:00 Jack Erskine 436 Computer Lab
24 Jul - 27 Aug
11 Sep - 22 Oct
38 Tuesday 09:00 - 10:00 Jack Erskine 436 Computer Lab
24 Jul - 27 Aug
11 Sep - 22 Oct
39 Tuesday 10:00 - 11:00 Jack Erskine 436 Computer Lab
24 Jul - 27 Aug
11 Sep - 22 Oct
40 Wednesday 09:00 - 10:00 Jack Erskine 436 Computer Lab
24 Jul - 27 Aug
11 Sep - 22 Oct
41 Tuesday 12:00 - 13:00 Jack Erskine 436 Computer Lab
24 Jul - 27 Aug
11 Sep - 22 Oct
42 Tuesday 14:00 - 15:00 Jack Erskine 436 Computer Lab
24 Jul - 27 Aug
11 Sep - 22 Oct

Course Coordinator

Phillipa Gourdie

Lecturers

Jenny Harlow and Luke Longworth

Textbooks / Resources

Recommended Reading

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 EMTH119 Occurrences

  • EMTH119-22SU2 (C) Summer Nov 2022 start
  • EMTH119-23S2 (D) Semester Two 2023 (Distance) - Not Offered - see department for alternatives
  • EMTH119-23S2 (C) Semester Two 2023