Course Title: Provide computational solutions to basic engineering problems

Part B: Course Detail

Teaching Period: Term1 2011

Course Code: ISYS5664C

Course Title: Provide computational solutions to basic engineering problems

School: 130T Vocational Engineering

Campus: City Campus

Program: C6083 - Advanced Diploma of Electronics and Communications Engineering

Course Contact: Program Manager

Course Contact Phone: +61 3 9925 4468

Course Contact Email: engineering-tafe@rmit.edu.au

Name and Contact Details of All Other Relevant Staff

Nominal Hours: 40

Regardless of the mode of delivery, represent a guide to the relative teaching time and student effort required to successfully achieve a particular competency/module. This may include not only scheduled classes or workplace visits but also the amount of effort required to undertake, evaluate and complete all assessment requirements, including any non-classroom activities.

Pre-requisites and Co-requisites

NIL

Course Description

This unit covers the application of computational processes to solve engineering problems. It encompasses working safely, applying problem solving techniques, using a range of mathematical processes, providing solutions to electrical/electronics engineering problems and justifying such solutions.

National Codes, Titles, Elements and Performance Criteria

National Element Code & Title:	UEENEEE026B Provide computational solutions to basic engineering problems
Element:	1. Provide computational solutions to engineering problems 2. Complete work and document problem solving activities.
Performance Criteria:	1.1 OHS procedures for a given work area are obtained and understood 1.2 The nature of the problems are obtained from documentation or from work supervisor to establish the scope of work to be undertaken 1.3 Problems are clearly stated in writing and/or diagrammatic form to ensure they are understood and appropriate methods used to resolve them. 1.4 Known constants and variable related to the problem are obtained from measured values or problem documentation. 1.5 Alternative methods for resolving the problem are considered and where necessary discussed with appropriate person(s). 1.6 Problems are solved using appropriate mathematical processes and within the realistic accuracy. 2.1 Justification for solutions used to solve engineering problems is documented for inclusion in work/project development records in accordance with professional standards. 2.2 Work completion is documented and appropriate person(s) notified.

Learning Outcomes

Details of Learning Activities

Students will participate face to face in

• Classroom tutorial activities to consolidate the core essential mathematical concepts for engineering study, which may include algebraic manipulations and functions, indices and logarithms trigonometric functions, exponential and logarithmic functions, complex numbers.

• Work simulation activities focus in technical leadership activities, which include: team building, identify team member’s work task, clear and concise dissemination of ideas and information, planning and organising activities to meet requested standards. Demonstrate leadership characteristic, such as: problem solving, keeping records and documenting tasks.

Teaching Schedule

Week Number	Topic Delivered	Assessment Task
1	Introduction to the competency of ISYS 5664C Differential Calculus • Basic concepts • Definition of the derivative of a function as the slope of a tangent line (the gradient of a curve
2	Differential Calculus (cont) • limits; basic examples from 1st principles; • Notation and Results of derivative of k.f(ax + b) where f(x)=x to the power of n, sin x, cos x, tan x, • e to the power of x, • ln x.
3	Rules of Differentiation: • Examples are derivative of sum and difference; product rule;
4	Rules of Differentiation (cont): • Examples are derivative of quotient rule; chain rule (function of a function), limited to two rules for any given function.
5	Higher order derivatives. The second order derivatives	Assignment 1 handed out (worth 10% of total mark) due date end of week 9.
6	Applications of the differential calculus • Equations of tangents and normals; stationary points; turning points; and curve sketching; rates of change; rectilinear motion) • Verbally formulated problems involving related rates and maxima: minima
7	Application to exponential, logarithmic, parabolic and hyperbolic functions and their inverse.
8	Practice test and revision	Practice test and revision
9	Test 1	Test 1 (worth 30% of total mark)
10	Integral Calculus The definition of Antiderivatives
11	Integration as the inverse operation to differentiation (Examples are results of the integral of k.f(ax + b) where f(x) = x to the power of n, sin x, cos x, sec squared x, e to the power of x)
12	Methods of Integration. The method of substitution
13	The method of integration by parts
14	Reduction formulas Integration of Rational Functions	Assignment 2 (worth 10% of total mark) handed out. Due date last day of week 17.
15	The definite integral
16	Applications (areas between curves; rectilinear motion including displacement from acceleration and distance travelled; voltage and current relationship in capacitors and inductors and the like) Applications of Integration, definite integration, areas, volumes of revolution, etc
17	Revision. Practice test 2	Practice test Assignment 2 Due date.
18	Final Exam	Final Exam (50%)

Learning Resources

Prescribed Texts

Fitzgerald G. F, Peckham I.A, Mathematical Methods for Engineers and Scientists, forth edition, Pearson Education Australia

1-74009-733-5

References

Glyn James, Modern Engineering Mathematics, fourth edition, Pearson Education Australia

978-13-239144

Other Resources

• Croft A, Davidson R, Mathematics for Engineers, third edition, Pearson Education Australia
• Croft A, Davidson R, Engineering Mathematics, third edition, Pearson Education Australia

Overview of Assessment

Assessments will include assignments (with aid of use with computer assisted learning), progressive test, and written exam.

Assessment Tasks

Assessment task 1 (assignment 1): 10%
Written assignment to demonstrate an understanding with applications of mathematical linear and spatial measurement in engineering, trigonometry and basic algebra, linear and quadratic functions involving engineering problems which are covered from week 1 to week 8. This assessment allows students to work as a group which will help to revise and prepare for the next assessment (Tes1) which will cover similar topics.

Assessment task 2 (test 1): 30%
This assessment demonstrates an understanding with applications of mathematics involving engineering problems which are covered from week 1 to week 8. The time allowed for this test is no more that 2.5 hours.

Assessment task 3 (assignment 2,  ): 10%
Written assignment to demonstrate an understanding with applications of  integral calculus and problems with engineering applications,  which is covered from week 10 to week 17. Similar to the assignment 1, students can work/study in groups which will help to revise and prepare for the next assessment (Exam) which will cover similar topics.

Assessment task 4 (Final Exam): 50%
This assessment demonstrates an understanding with applications of differential calculus,, integral calculus and problems with engineering applications,  which is covered from week 10 to week 17. The time allowed for this test is no more that 2.5 hours.(Similar to Test 1).

Assessment Matrix

Element Covered	Assessment Task	Proportion of Final Assessment	Submission Time
1 and 2	Assignment 1 Test 1	10% 30%	Week 9 Week 9
1 and 2	Assignment 2 Exam	10% 50%	Week 18 Week 18

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