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)

## Restrictions

MATH103, MATH109, MATH199

## Timetable 2019

Students must attend one activity from each section.

Activity Day Time Location Weeks Lecture A 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 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 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 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 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

Activity Day Time Location Weeks Test A 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 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

## Assessment

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

## Textbooks / Resources

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