Swinburne College Diploma of Engineering (UniLink)

Unit Outline MTH10005 Engineering Mathematics 1 Teaching Period 1, 2014

PART A

Unit summary

PART B

PART C

Further information

Unit Outline Template February 2014

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PART A:

Unit Summary

Unit Code(s)

MTH10005

Unit Title

Engineering Mathematics 1

Duration

14 weeks

Total Contact Hours

84

Requisites:

Nil

Pre-requisites Credit Points

12.5

Campus/Location

Hawthorn

Mode of Delivery

Face to Face

Assessment Summary

Two in class tests, weeks 4 & 10 One written closed book exam in week 14

Aims The purpose of this unit is to provide students with the knowledge and skills to apply mathematical and statistical techniques to a variety of engineering calculations and decisions; and to provide students with a thorough grounding in mathematics, laying a foundation for further studies in engineering mathematics.

Unit Learning Outcomes Students who successfully complete this Unit should be able to: 1. Define the properties of vector quantities and vector algebra in two and three-dimensional space. 2. Apply the rules of number systems to perform calculations and conversions in the binary, octal, decimal and hexadecimal numbers systems. 3. Apply mathematical techniques to solve equations in one variable and inequalities, including quadratic and cubic equations. 4. Represent given equations of straight lines, circles and conic sections in graphical form, and apply techniques to determine the equations for graphs of straight lines, circles and conic sections. 5. Represent functions in graphical form, and solve problems involving a range of functions. 6. Apply the rules and techniques of differentiation to appropriate functions, and use these rules and techniques to solve practical problems including graphing sketching. 7. Apply the rules and techniques of integration to appropriate functions, and use these rules and techniques to solve practical problems including area, volume, arc length, surface area, centroids and numerical integration.

Key Generic Skills You will be provided with feedback on your progress in attaining the following generic skills:   

Problem solving skills Ability to tackle unfamiliar problems Ability to work independently

Unit Outline Template February 2014

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Content Vectors: Basic operations in2D, introduction to 3D space, basic vectors in 3D, products, projections. Number Systems: Binary, octal and hexadecimal systems. Algebra: Equations in one variable, graphical solution, numerical solution; inequations in one variable graphical solution; transformation of equations and formulae. Functions and Graphs: Review of functions and graphs, including polynomials, rational functions and a review of trigonometry, problems of domain, limits, asymptotes, partial fractions, inverse trigonometric functions, hyperbolic and inverse hyperbolic functions. Differentiation: Implicit and logarithmic differentiation, optimisation, detailed graphing including points of inflection, rates, approximations, error analysis, Taylor polynomials, indeterminate forms and limits. Integration: Substitution, parts general techniques, use of extensive tables, areas, centroids, volumes, arc length, surface area and numeric integration.

Unit Outline Template Version 1.3

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PART B:

Unit Improvements Feedback provided by previous students through the Student Survey has resulted in improvements that have been made to this unit. Recent improvements include: • •

Student notes made available via blackboard New version of student notes prepared

Unit Teaching Staff Name

Role

Room

Phone

Email

Consultation Times

Unit Convenor

TD197

9214 4727

Other Teachers

Learning and Teaching Structure Activity

Total Hours

Hours per Week

Teaching Period Weeks

Classes

84 hours

6 hours

Weeks 1 to 14

The classes will involve covering the theory and some example questions, students will them have time to complete some exercises in class with help from the teacher when required. There will not be enough time in class to complete all exercises and these will be assumed to have been completed outside of class time.

Week by Week Schedule

Week

Week Beginning

1

Feb 25

2

Mar 3

3

Mar 10

Algebra - Equations in one-variable: algebra, graphical solution, numerical solution; In equations in one variable: algebra, graphical solution; transformation of equations and formulae Number -Binary octal and hexadecimal systems. Vectors – basic operations in 2D

4

Mar 17

Vectors – basic operations in 3D

5

Mar 24

Functions & Graphs: review of functions and graphs, including polynomials, rational functions & problems of domain, limits, asymptotes

6

Mar 31

Functions & Graphs: review of trigonometry and inverse trigonometric functions

7

Apr 7

Functions & Graphs: review of partial fractions, hyperbolic and inverse hyperbolic functions

8

Apr 14

Differentiation - First principles, standard derivatives, rules of differentiation, rates, approximations

Teaching and Learning Activity

Unit Outline Template Version 1.3

Test 1

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9

Apr 28

Differentiation - Taylor polynomials, implicit and logarithmic differentiation

10

May 5

Differentiation - optimisation, detailed graphing including inflection, indeterminate forms, limits, error analysis

11

May 12

College Closed – 23 December 2013 – 5 January 2014

12

May 19

Integration - basic integrals, substitution, parts, general techniques

13

May 26

Integration - areas, centroids, volumes, arc lengths, surface areas

14

June 2

Examination

Test 2

Exam

Assessment a)

Assessment Overview

Weighting

Unit Learning Outcomes that this assessment task relates to

Assessment Due Date

Individual

20%

1,2,3,4

End of week 4

2. Test 2

Individual

30%

5,6,7

End of week 10

3. Examination

Individual

50%

1,2,3,4,5,6,7,8,9

Formal Exam Period

Individual or Group

1. Test 1

b) Minimum requirements to pass this Unit To pass this unit, you must:  achieve at least 35% of the possible final marks for each Assessment Component, and  achieve an aggregate mark for the subject of 50% or more, and  achieve at least 35% in the final exam c)

Examinations If the unit you are enrolled in has an official examination, you will be expected to be available for the entire examination period including any Special Exam period. The final exam is a three hour closed book written exam, covering the entire semesters work.

d) Submission Requirements Assignments and other assessments must be submitted through the Blackboard assessment submission system (Turnitin). Please ensure you keep a copy of all assessments that are submitted. An Assessment Cover Sheet must be submitted with your assignment. The standard Assessment Cover Sheet is available from the Current Students web site (see Part C). e)

Extensions and Late Submission Assessment due dates are published in Unit Outlines at the start of the teaching period and will not normally be extended except where students had their studies adversely affected by acute illness, misadventure or other extraordinary cause or circumstance reasonably beyond their control. Students who need to request an extension of time to the due date for a piece of assessment (excluding end of teaching period final examinations) should contact their Unit Convenor directly to discuss their circumstances.

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Late Submissions - Unless an extension has been approved, you cannot submit an assessment after the due date. If this does occur, you will be penalised 10% of the assessments worth for each calendar day the task is late up to a maximum of 5 days. After 5 days a zero result will be recorded. f)

Referencing To avoid plagiarism, you are required to provide a reference whenever you include information from other sources in your work. Further details regarding plagiarism are available in Section C of this document. Referencing convention required for this unit is Harvard referencing style. Helpful information on referencing can be found at http://www.swinburne.edu.au/lib/studyhelp/harvard-quick-guide.pdf

g) Groupwork Guidelines A group assignment is the collective responsibility of the entire group, and if one member is temporarily unable to contribute, the group should be able to reallocate responsibilities to keep to schedule. In the event of longer-term illness or other serious problems involving a member of group, it is the responsibility of the other members to immediately notify the Unit Convenor or relevant tutor. Group submissions must be submitted with an Assignment Cover Sheet, signed by all members of the group. All group members must be satisfied that the work has been correctly submitted. Any penalties for late submission will generally apply to all group members, not just the person who submitted.

Required Textbook(s) There is no text book. Notes will be available via Blackboard and/or Swinburne Bookshop.

Recommended Reading Materials The Library has a large collection of resource materials, both texts and current journals. Listed below are some references that will provide valuable supplementary information to this unit. It is also recommended that you explore other sources to broaden your understanding. rd

Croft, A. & Davison, R. (2008). Mathematics for Engineers: A Modern Interactive Approach, 3 Edn, Prentice Hall. th

James, G. (2010). Modern Engineering Mathematics, 4 Edn, Prentice Hall. th

Stroud, K.A. & Booth, D.J. (2007). Engineering Mathematics, 6 Edn, Industrial Press. th

Thomas, G.B., Weir, M.D. & Hass, J. (2009). Thomasâ&#x20AC;&#x2122; Calculus, 12 Edn, Addison Wesley.

Unit Outline Template Version 1.3

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PART C:

FUTHER INFORMATION

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