Swinburne College Diploma of Engineering (UNILINK)

Unit Outline Unit Code:

MTH20001

Unit Title:

Engineering Mathematics 2

Teaching Period 1, 2014 Please read this Unit Outline carefully. It includes:

PART A

Unit summary

PART B

PART C

Further information

Unit Outline: MTH 20001 Engineering Mathematics 2 TP1 2014 (version 1)

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PART A:

Unit Summary

Unit Code(s)

MTH20001

Unit Title

Engineering Mathematics 2

Duration

14 weeks

Total Contact Hours

84

Requisites: Pre-requisites

Engineering Mathematics 1

Credit Points

12.5

Campus/Location

Hawthorn

Mode of Delivery

Face to Face

Assessment Summary

Two in class tests, weeks 5 & 10 One written closed book exam in week 14

Aims Engineering Mathematics 2 is the second of two mathematics core units and builds upon and expands the mathematical concepts developed in Engineering Mathematics 1. It will provide a grounding and further understanding of mathematics and mathematical processes essential in underpinning the skill and knowledge necessary to carry out more complex computations..

Unit Learning Outcomes Students who successfully complete this Unit should be able to: 1. Apply Boolean Algebra to the design of switching and logic circuits, and apply simple network analysis and graph theory. 2. Apply matrix algebra to solve systems of equations. 3. Apply complex numbers to arrange of problems including electrical impedance. 4. Apply vectors to problems in three dimension space. 5. Employ techniques including parametric equations to draw curves of a range of functions in two and three dimensional space. 6. Analyse three dimensional surfaces and use partial differentiations to examine small changes in the surface. 7. Employ techniques to solve a range of first and second order differential equations.

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

Fundamental skills People skills Thinking skills Personal skills Literacy (including speaking and writing) Communication (including speaking and listening) Discipline, Vocab and Expression

Content 1. Discrete Mathematics: Boolean algebra, switching and logic circuits, graph theory 2. Linear Algebra: Matrices, determinants, solution of systems of linear equations, matrix inverse, Gaussian and complete elimination. 3. Complex Numbers: Arithmetic, geometrical representation, Cartesian and polar forms, powers and roots, exponential form, fundamental theorem of algebra 4. Vectors Applications: Lines and planes in 3D, angular velocity, torque 5. Curves: 2D polar coordinates, 2D and 3D parametric curves, parametric differentiation and antidifferentiation Unit Outline: MTH 20001 Engineering Mathematics 2 TP1 2014 (version 1)

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6. Surfaces and Partial Differentiation: Standard surfaces as z=f(x,y); relations, parametric forms, 3D polar coordinates, drawing 3D pictures of surfaces and 3D curves, partial derivatives, approximations, optimisation 7. Differential Equations: First order separable, exact, linear, orthogonal trajectories, second order linear with constant coefficients and simple right hand

Unit Outline MTH 20001 Engineering Mathematics 2 TP1 2014 (version 2 Feb 2014)

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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: â&#x20AC;˘ â&#x20AC;˘

Unit Teaching Staff Name

Role

Room

Phone

Consultation Times

Email

Alexander Taube Unit Convenor

TD 192 9214 5632 32 ataube@swin.edu.au

Greg Dickman

TD 191 9214 5106

Other Teachers

gdickman@swin.edu.au

Learning and Teaching Structure Activity

Total Hours

Hours per Week

Teaching Period Weeks

Lectures

84 hours

6 hours

Weeks 1 to 14

Week by Week Schedule

Week

Week Beginning

Teaching and Learning Activity

1

24 February

Analytic Geometry & 3D Vectors

2

Analytic Geometry & 3D Vectors

3

3 March 10 March

Matrices and Determinants

4

17 March

Matrices and Determinants

5

24 March

Complex Numbers

6

31 March

Complex Numbers

7

7 April

Differential Equations

8

14 April

Differential Equations

9

21 April

College Closed - Public Holidays

10

28 April

Partial Differentiation & Errors

11

5 May

Partial Differentiation & Surfaces

12

12 May

Curves

13

19 May

Discrete Mathematics

14

26 May

Revision

Unit Outline MTH 20001 Engineering Mathematics 2 TP1 2014 (version 2 Feb 2014)

Test 1

Test 2

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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 6

2. TEST 2

Individual

20%

5,6,7

End of week 12

3. Examination

Individual

60%

1-7

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 40% of the possible final marks for Test 1 and Test 2; and  achieve at least 40% in the final exam; and  achieve an aggregate mark for the subject of 50% or more. If you do not achieve at least 40% of the possible final marks for each Major Assessment Component you will receive a maximum of 44% as your total mark for the unit. 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. Materials Allowed:  

Candidates may refer to a foreign Language Translation Dictionary Non-graphing, Non-programmable (scientific) calculator

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. 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.

Unit Outline MTH 20001 Engineering Mathematics 2 TP1 2014 (version 2 Feb 2014)

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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) ď&#x201A;ˇ

Students Notes

ď&#x201A;ˇ

Class Notes

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.

Unit Outline MTH 20001 Engineering Mathematics 2 TP1 2014 (version 2 Feb 2014)

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PART C:

FUTHER INFORMATION

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