# Mathematical Methods for Engineers 1 - 2016

To enrol in this unit, you must be accepted into a course from the provider. Read before you start

## Unit summary

### ENR114

• Level of Study: Undergraduate Level 1
• Study load: 0.125 EFTSL
• Delivery method: Fully Online
• Prerequisites: Yes
• Duration: 13 weeks
• Government loans available: HECS-HELP
• Availability for 2016: SP2 , SP3
• Availability for 2017: SP2 , SP3
• Assessment: Assignments - 2 Assignments (30%) , Group Project (15%) - Learn more

Unit provided by

2016 Fees
AUD\$
Domestic 1,114.00
HECS 1,114.00

This unit aims to introduce students to the basic requirements of mathematical methods needed by engineers using both analytical and software approaches. The unit includes topics in calculus and also an introduction to the mathematical software MATLAB and its applications. Topics include definition and properties of vectors, applications to the geometry of the plane, complex numbers, operations on complex numbers, modulus and its properties, functions and their graphs with applications to trigonometric and exponential functions, differentiation and applications to related rates problems and to maxima and minima problems, l'Hopital's rule, parametric representation of curves, solution of simple differential equations, visualisation of motion using computer software, integration of trigonometric and rational functions with applications to the calculation of simple plane areas and rates of change.

At the completion of this unit students will be able to:

1. apply vector methods to problems in two and three dimensional space
2. use trigonometric functions in engineering situations
3. sketch and graph functions, with emphasis on trigonometric functions
4. express curves describing movement in parametric form. Investigate motion using appropriate computer software
5. find and interpret both definite and indefinite integrals
6. manipulate complex numbers in Cartesian and polar forms
7. differentiate trigonometric and other functions and extend the results to engineering applications.
• Assignments — 2 Assignments (30%)
• Group Project (15%)
• Invigilated Exam (45%)
• Quizzes — 5 Quizzes (10%)
For more information on invigilated exams see Exams and results

#### Mandatory conditional prerequisites

You must either have successfully completed the following unit(s) before starting this unit, or currently be enrolled in the following unit(s) in a prior study period; or enrol in the following unit(s) to study prior to this unit:

Please note that your enrolment in this unit is conditional on successful completion of these prerequisite unit(s). If you study the prerequisite unit(s) in the study period immediately prior to studying this unit, your result for the prerequisite unit(s) will not be finalised prior to the close of enrolment. In this situation, should you not complete your prerequisite unit(s) successfully you should not continue with your enrolment in this unit. If you are currently enrolled in the prerequisite unit(s) and believe you may not complete these all successfully, it is your responsibility to reschedule your study of this unit to give you time to re-attempt the prerequisite unit(s).

If you have completed equivalent study at another university, please contact a Student Advisor for advice.

• Additional materials — Students will require Windows Vista, Windows 7 or higher. UniSA does not support Windows XP.
• Audio/Visual equipment — Audio headset with microphone are required to access weekly consultation and help desk facilities.
• Broadband access — Recommended
• Other special requirement — Access to MATLAB software. For more information please see the Special Requirements section of the course page.

In order to enrol in this unit, you must be accepted into one of the following courses:

Please visit the course details page and read the Requirements tab for more information about eligibility.

This unit addresses the following topics.

NumberTopic
1Functions, models, graphs
2Functions, limits
3Continuity, differentiation
4Trigonometry,trigonometric limits and derivatives, vectors
5Vectors, dot and cross products
6Related rates, mean-value theorem, antiderivatives
7Implicit differentiation, curve sketching
8Riemann sums, definite integral
9Integration by substitution, applications
10Inverse functions, exponential and logarithmic functions, l'Hopital's rule
11Graphs with exponential functions, parametric curves, differential equations
12Differential equations, complex numbers

This unit is delivered using the following methods and materials:

#### Instructional Methods

• Audio/Video conferencing
• Discussion Forum/Discussion Board
• Embedded Multimedia
• Glossary
• Online Quizzes/Tests
• Online assignment submission
• Podcasting/Lecture capture
• Standard Media
• Streaming Multimedia
• Web links
• Wikis

#### Print based materials

• Welcome Letter

#### Online materials

• Audio/Video - Streaming
• Online Assessment
• Printable format materials
• Quizzes
• Resources and Links

This unit is a core requirement in the following courses:

This unit may be eligible for credit towards other courses:

1. Many undergraduate courses on offer through OUA include 'open elective' where any OUA unit can be credited to the course. You need to check the Award Requirements on the course page for the number of allowed open electives and any level limitations.
2. In other cases, the content of this unit might be relevant to a course on offer through OUA or elsewhere. In order to receive credit for this unit in the course you will need to supply the provider institution with a copy of the Unit Profile in the approved format, which you can download here. Note that the Unit Profile is set at the start of the year, and if textbooks change this may not match the Co-Op textbook list.

Textbooks are subject to change within the academic year. Students are advised to purchase their books no earlier than one to two months before the start of a unit.

Click on the titles of the listed books below to find out more:

#### Required textbooks

• Value Pack Calculus, Early Transcendentals Pearson New

By:Edwards & Penney

ISBN: 9781486024933

Format:Print

Supplier:Go to The Co-op Bookshop

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