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 StartingWeek No.Topics
9th February1Algebraic fraction, transposition, solving linear equations, linear graphs, solving simultaneous equations
16th February2 Basic algebra: Quadratics, factorisation and solving quadratic equations
23rd February3 Basic algebra: Indices and indicial equations, logarithm and logarithmic equations
2nd March4 Basic trigonometry, Limits, theorems on limit and infinite limits
9th March5 Differentiation: Gradient of curve, differentiation by first principles
16th March6 Basic rules of differentiation and differentiation of polynomials
23rd March7 Chain rule, product rule and quotient rule
30th March8 Differentiation of trigonometric, exponential and logarithmic functions
6th April9 Tangent and normal, maxima-minima problems
   Easter Break (9th to 15th April)
20th April10 Mid semester test (40%) on topics upto week 9
27th April11Basic  Integration and it’s rules
4th May12 Definite integral and finding areas
11th May13 Integrations of trigonometric and exponential functions and integrations involving  logarithm.
18th May14 Integration by substitutions and parts (Assignment (10%) due on topics from week 5th to week 12th)
25th May15 Application of integration in rectilinear motion
1st June16 Basic first order differential equations
8th & 15th June17 & 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.
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

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