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ENM2600 Advanced Engineering Mathematics

Semester 1, 2023 Online
Units : 1
School or Department : School of Mathematics, Physics & Computing
Grading basis : Graded
Course fee schedule : /current-students/administration/fees/fee-schedules

Staffing

Course Coordinator:

Requisites

Pre-requisite: ENM1600 or Students must be enrolled in one of the following Programs: GCEN or METC or MENS or GDNS or MEPR or MSCN

Overview

This course follows ENM1600 Engineering Mathematics in developing the theory and competencies needed for a wide range of engineering applications. In particular, the concepts and techniques of complex numbers, differential equations, multivariable calculus and linear algebra are broadened. These mathematical techniques are explored in the context of engineering applications.

This course further integrates mathematical concepts to provide students with an introduction to the advanced skills required for engineering and surveying. Topics included are: Complex Numbers, Ordinary Differential Equations (ODEs), Series, Multivariable Calculus, and Linear Algebra. The introduction to Ordinary Differential Equations and Series topics include direction fields, Euler's method, first order separable ODEs, first order and second order linear ODEs with constant coefficients, Taylor and Fourier series. Multivariable Calculus includes representation of functions of several variables, surfaces and curves in space, partial differentiation, optimisation, directional derivatives, gradient, divergence and curl, line integrals of the 1-st and 2-nd kinds, iterated integrals, Green's theorem. The topic of Linear Algebra of ENM1600 Engineering Mathematics is extended to cover eigenvalues and eigenvectors, and symmetric and orthogonal matrices. Engineering applications are discussed in each topic.

Course learning outcomes

On completion of this course students will be able to:

  1. Critically examine and apply mathematical techniques and skills to solve problems essential to further study in engineering and surveying;
  2. Proficiently apply mathematical techniques to analyse and solve basic mathematical and authentic engineering and surveying problems relevant to this course.
  3. Effectively communicate mathematical concepts and arguments using appropriate notation;
  4. Use computational aids for graphing, matrix manipulation, concept development and problem solving in algebra and calculus within engineering and surveying contexts.

Topics

Description Weighting(%)
1. Differential Equations and Series: direction fields - first order linear ODEs - Taylor series - Fourier series - Euler's method - second order linear ODEs with constant coefficients - engineering applications. 35.00
2. Multivariable Calculus: curves in space - surfaces in space - functions of several variables - partial differentiation - geometric interpretation of partial derivatives - maxima/minima problems - directional derivatives - vector fields - curl and divergence - line and work integrals - independence of path - engineering applications. 35.00
3. Linear Algebra: - eigenvalues and eigenvectors - symmetric and orthogonal matrices - engineering applications. 15.00
4. Complex number applications, Euler form and complex functions. 15.00

Text and materials required to be purchased or accessed

Glyn James 2020, Modern Engineering Mathematics, 6th edn, Pearson Education Limited.
(4th & 5th edn can also be used.)
精东传媒app Book 2014, Course ENM2600 Advanced Engineering Mathematics, UniSQ, Toowoomba.
(Available on course 精东传媒appDesk.)
Scientific calculator having options for calculation of simple elementary functions: sin(x), cos(x), exp(x), ln(x), etc. The typical model example is the calculator CASIO fx-100AU.

Student workload expectations

To do well in this subject, students are expected to commit approximately 10 hours per week including class contact hours, independent study, and all assessment tasks. If you are undertaking additional activities, which may include placements and residential schools, the weekly workload hours may vary.

Assessment details

Approach Type Description Group
Assessment
Weighting (%) Course learning outcomes
Assignments Written Quiz No 10 1,3
Assignments Written Problem Solving 1 No 30 1,3,4
Assignments Written Problem Solving 2 No 30 1,2,3,4
Assignments Written Problem Solving 3 No 30 1,2,3,4
Date printed 9 February 2024