Course Title: Apply Calculus to Engineering Problems
Part B: Course Detail
Teaching Period: Term1 2009
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: Dr. Ejanul Haque
Phone: 99251834
Email: ejanul.haque@rmit.edu.au
Office Location: Building 8, Level 9, Room 56
2. Lecturer: Mr Brian Hayes
Phone: 9925 4535
Email: brihaye@rmit.edu.au
Office Location: Building 51, Level 7, Room 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: |
Identify the requirements for applying calculus. |
Element: |
Select appropriate mathematical method. |
Performance Criteria: |
Select appropriate mathematical method. |
Element: |
Undertake solution |
Performance Criteria: |
Undertake solution |
Element: |
Verify and interpret results. |
Performance Criteria: |
Verify and interpret results. |
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
| Week Starting | Week No. | Topics |
| 9th February | 1 | Algebraic fraction, transposition, solving linear equations, linear graphs, solving simultaneous equations |
| 16th February | 2 | Basic algebra: Quadratics, factorisation and solving quadratic equations |
| 23rd February | 3 | Basic algebra: Indices and indicial equations, logarithm and logarithmic equations |
| 2nd March | 4 | Basic trigonometry, Limits, theorems on limit and infinite limits |
| 9th March | 5 | Differentiation: Gradient of curve, differentiation by first principles |
| 16th March | 6 | Basic rules of differentiation and differentiation of polynomials |
| 23rd March | 7 | Chain rule, product rule and quotient rule |
| 30th March | 8 | Differentiation of trigonometric, exponential and logarithmic functions |
| 6th April | 9 | Tangent and normal, maxima-minima problems |
| Easter Break (9th to 15th April) | ||
| 20th April | 10 | Mid semester test (40%) on topics upto week 9 |
| 27th April | 11 | Basic Integration and it’s rules |
| 4th May | 12 | Definite integral and finding areas |
| 11th May | 13 | Integrations of trigonometric and exponential functions and integrations involving logarithm. |
| 18th May | 14 | Integration by substitutions and parts (Assignment (10%) due on topics from week 5th to week 12th) |
| 25th May | 15 | Application of integration in rectilinear motion |
| 1st June | 16 | Basic first order differential equations |
| 8th & 15th June | 17 & 18 | End semester test (50%) 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
The assessment for this course will consist of:
• Mid Semester Test worth 40% of the total assessment marks
• One assignment worth 10% of the total assessment marks
• End Semester Test worth 50% of the total assessment marks
A minimum of 50% of the total mark is required to pass this course.
Assessment Matrix
Course Overview: Access Course Overview