Course Title: Apply Calculus to Engineering Problems
Part B: Course Detail
Teaching Period: Term1 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
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. |
Element: |
Select appropriate mathematical method |
Element: |
Undertake solution |
Element: |
Verify and interpret result |
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
| Session | Topics |
| 1 | Algebraic 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 |
| 11 | Basic 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. |
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
Course Overview: Access Course Overview