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: C6084 - Advanced Diploma of Computer Systems 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
Dr Elmas Aliu
elmas.aliu@rmit.edu.au
9925 4360
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. |
Performance Criteria: |
|
Element: |
2. Complete work and document problem solving activities. |
Performance Criteria: |
2.1 Justification for solutions used to solve engineering |
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 |
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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. |
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3 | Rules of Differentiation: • Examples are derivative of sum and difference; product rule; |
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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. |
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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 |
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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 |
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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 18. |
15 | The definite integral |
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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. |
Practice test |
17 | Revision. Practice test 2 |
Practice test |
18 | Test 2 | Assignment 2 Due date. Test 2 (worth 50% of total mark) |
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 |
9780132391443 |
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
Assessment may incorporate a variety of methods including written/oral activities and demonstration of practical skills to the relevant industry standards. Participants are advised that they are likely to be asked to personally demonstrate their assessment activities to their teacher/assessor. Feedback will be provided throughout the course.
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).
This course is graded using the following course grades-
"
CHD- Competent with High Distinction
CDI- Competent with Distinction
CC- Competent with Credit
CAG- Competency Achieved - Graded
NYC- Not Yet Competent
DNS- Did Not Submit for Assessment. (This grade is only to be used where the student’s attendance in the course has been ‘confirmed’ (but they have not participated in any form of assessment and did not withdraw by the census date.)
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 |
Course Overview: Access Course Overview