Course Title: Provide computational solutions to basic engineering problems
Part B: Course Detail
Teaching Period: Term1 2010
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: engineeringtafe@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 nonclassroom activities.
Prerequisites and Corequisites
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: 

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:
• Differentiating and integrating algebraic, trigonometric, exponential and logarithmic, and hyperbolic functions
• Finding equations of tangents and normals; stationary points; turning points; the rates of change, etc.
• Solving maxima and minima engineering problems using differentiation.
• Demonstrating with applications the density, mass, moment and area using integration.
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  Date  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 
Assignment 1 due date Test 1 (worth 40% 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 

18  Test 2 
Test 2 (worth 40% of total mark) 
Learning Resources
Prescribed Texts
Fitzgerald G. F, Peckham I.A, Mathematical Methods for Engineers and Scientists, fourth edition, Pearson Education Australia 
References
Glyn James, Modern Engineering Mathematics, fourth edition, Pearson Education Australia 
Other Resources
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 differential calculus which is covered from week 1 to week 8. This assessment requires (gives the chance to) 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): 40%
This assessment demonstrates an understanding with applications of differential calculus which is covered from week 1 to week 8. The time allowed for this test is no more that 2.5 hours.
A
ssessment task 3 (assignment 2): 10%
Written assignment to demonstrate an understanding with applications of integral calculus which is covered from week 10 to week 17. Similar to the assignment 1, this assessment requires (gives the chance to) students to work as a group which will help to revise and prepare for the next assessment (Tes2) which will cover similar topics.
Assessment task 4 (test 2): 40%
This assessment demonstrates an understanding with applications of integral calculus 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
Competency National Code  Competency Title  Cluster Title 
UEENEEE026B  Provide computational solution  Engineering mathematics 
Assessment Types:
Assignment 1
Test 1
Assignment 2
Test 2
Course Overview: Access Course Overview