# 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

Phone: 9925 4461
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. 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.

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