Course Title: Apply Calculus to Engineering Problems

Part B: Course Detail

Teaching Period: Term2 2011

Course Code: MIET7299

Course Title: Apply Calculus to Engineering Problems

School: 130T Vocational Engineering

Campus: City Campus

Program: C6069 - Advanced Diploma of Engineering Technology

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

1. Lecturer: Mr. Leon Mattatia
Phone: 9925 4468 
Email: leon.mattatia@rmit.edu.au
Office Location: Building 57, Level 5

2. Lecturer: Ms. Yadana Wai
Phone: 9925 4461
Email: yadana.wai@rmit.edu.au
Office Location: Building 57, Level 5

3.Teacher :- Vettri. Chinnadurai (PART-TIME COURSE)
Phone: 9925 4667
Email: vettri.chinnadurai@rmit.edu.au
Office Location: Building 57, Level 5

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

None

Course Description

This unit of competency sets out the knowledge and skills required to apply calculus to the solution to engineering problems. This includes differentiation and integration applications to rectilinear motion, maxima and minima and simple differential equations.


National Codes, Titles, Elements and Performance Criteria

National Element Code & Title:

VBP234 Apply Calculus to Engineering Problems

Element:

Identify the requirements for applying calculus.

Performance Criteria:

OH&S and environmental requirements for a given work area are obtained and understood.
The calculus application is determined through requests, design briefs or equivalent and clarified with the appropriate personnel.
Where appropriate expert advice is sought with respect to the calculus application and according to enterprise procedures.

Element:

Select appropriate mathematical method.

Performance Criteria:

OH&S requirements for carrying out the work are followed
Industry codes, regulations and technical documentation relevant to the calculus application are interpreted and understood.
Where appropriate, tables and graphs are used to obtain computational data.
The appropriate assumptions underlying the solution are made and recorded.
Resources required are identified, obtained and checked as fit for purpose.
The most appropriate method of solution is selected and can be justified.

Element:

Undertake solution 

Performance Criteria:

OH&S requirements for carrying out the work are followed.
Solution to calculus application is performed and results recorded.
Decisions for dealing with unexpected situations are made from discussions with appropriate personnel, job specifications and enterprise procedures.
Methods of dealing with unexpected situations are selected on the basis of safety and specified work outcomes.

Element:

Verify and interpret results.

Performance Criteria:

OH&S requirements for completing the work are followed.
Results are verified and discussed with appropriate personnel.
Where appropriate results are graphed or charted.
Results are interpreted, verified and discussed with appropriate personnel.


Learning Outcomes


NA


Details of Learning Activities

The learning activities for this course include:
• Attending lectures at which the course content will be presented and taught with appropriate examples
• Completing the assigned questions during class time
• Private study, consolidating the material provided/recommended in class and completing all required exercises and other tasks.



Teaching Schedule

SessionTopics
1Algebraic fraction, transposition, solving linear equations, linear graphs, solving simultaneous equations
2 Basic algebra: Quadratics, factorisation and solving quadratic equations
3 Basic algebra: Indices and indicial equations, logarithm and logarithmic equations
4 Basic trigonometry, Limits, theorems on limit and infinite limits
5 Differentiation: Gradient of curve, differentiation by first principles
6 Basic rules of differentiation and differentiation of polynomials
7 Chain rule, product rule and quotient rule
8 Differentiation of trigonometric, exponential and logarithmic functions
9 Tangent and normal, maxima-minima problems
10 Mid semester closed book exam on topics from week 1 to 9
11Basic  Integration and it’s rules
12 Definite integral and finding areas
13 Integrations of trigonometric and exponential functions and integrations involving  logarithm.
14 Integration by substitutions and parts (Assignment (10%) due on topics from week 5th to week 12th)
15 Application of integration in rectilinear motion
16 Basic first order differential equations
17  Revision
 18 End semester closed book exam on topics from week 11 to 16


Learning Resources

Prescribed Texts

The resources include the lecture notes, excercises, and any engineering Mathematics or calculus books available in the library .


References

1. Advanced Engineering Mathematics 9th Ed.
By Erwin Kreyszig


Other Resources

Calculators: TI 83/TI 83+/TI 84/TI 84+



Overview of Assessment

A person who demonstrates competency in this unit must be able to perform in differentiation and integration applied to practical engineering applications. Competency in this unit cannot be claimed until all prerequisites have been satisfied.


Assessment Tasks

Participants are required to complete four assessment tasks.

The assessment tasks are two assignments each one is worth 15% and two closed book examinations each one is worth 35%.

High Distinction 80 - 100 percent of total assessments
Distinction 70 - 79 percent of total assessments
Credit 60 - 69 percent of total assessments
Pass ( High Grading available) 50 - 59 percent of total assessments
Pass ( No Higher Grading available) 50 - 100 percent of total assessments
Fail 0 - 49 percent of total assessments


Academic Misconduct

Students are reminded that cheating, whether by fabrication, falsification of data, or plagiarism, is an offence subject to University disciplinary procedures. Plagiarism in oral or written presentations is the presentation of the work, idea or creation of another person, without appropriate referencing, as though it is one’s own. Plagiarism is not acceptable.

The use of another person’s work or ideas must be acknowledged. Failure to do so may result in charges of academic misconduct which carry a range of penalties including cancellation of results and exclusion from your course.

Students are responsible for ensuring that their work is kept in a secure place. It is also a disciplinary offence for students to allow their work to be plagiarised by another student. Students should be aware of their rights and responsibilities regarding the use of copyright material. It is strongly recommended that students refer to the RMIT 2001 Guidelines for Students or to the RMIT University Homepage.




Assessment Matrix

1. Written Assignment - 1 -10%

2. Unit Test - 1 - 40%

3. Written Assignment - 2 -10%

4.Unit Test - 2 - 40%

Course Overview: Access Course Overview