# Course Title: Advanced Engineering Mathematics 1

## Part B: Course Detail

Teaching Period: Term2 2012

Course Code: MATH5153

Course Title: Advanced Engineering Mathematics 1

School: 155T Life & Physical Sciences

Campus: City Campus

Program: C6011 - Advanced Diploma of Engineering (Aerospace)

Course Contact : Ray Rozen

Course Contact Phone: +61 3 9925 4699

Course Contact Email:ray.rozen@rmit.edu.au

Name and Contact Details of All Other Relevant Staff

Selva Venkatesan

Course Contact Phone : + 61 3 9925 4964

Course Contact Email selva.venkatesan@rmit.edu.au

Room 51-04-09

Nominal Hours: 60

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

Equivalent to MATH5156 Aerospace Mathematics 1

Course Description

The purpose of this course is to provide participants with the skills, knowledge and attitudes required to perform fundamental mathematical procedures and processes for solution of engineering problems, particularly the use of calculus and vector analyses. The course aims to show the relevance of mathematics to engineering and applied science.

National Codes, Titles, Elements and Performance Criteria

 National Element Code & Title: VBH624 Advanced Engineering Mathematics 1

Learning Outcomes

1. Apply the principles of Vector algebra to solve a variety of basic problems in engineering and Applied Science

2. Apply the principles of Analytical Geometry and vector analysis to determine the equations of the straight lines and planes in Three Dimensional Space

3.Differentiate the functions involving Exponential, Logarithmic, trigonometric, Inverse Trigonometric, Hyperbolic and Inverse Hyperbolic Functions.

4. Apply the principles of Differential Calculus to solve a variety of practical problems in Engineering and Applied Science.

5. Aplly the principles of Partial Differentiation, Directional Derivatives, and Double integral.

6.Use various types of Series to test the convergence and divergence - Ratio Test.

Details of Learning Activities

Students will be provided with classroom tutorial instruction in each of the units in order to complete the learning outcomes using the recommended prescribed text.

Teaching Schedule

 WEEK NUMBER CONTENT 1 Introduction to Vectors Algebra Dot and Cross Product of vectors 2 Resolution of vectors Equation of planes and lines 3 Logarithmic differentiation  Derivatives of Inverse Trigonometric Functions 4 Derivatives of Hyperbolic Functions Revision and Test 1 worth 35% 5 Functions of Several Variables - Partial Derivatives Directional Derivatives 6 Multiple Integrals Arithmetic and Geometric Progression 7 Telescoping Series and Ratio Test 8 Taylor Series and Approximation of Differentiable Functions 9 Revision and Test 2 worth 55 %

Learning Resources

Prescribed Texts

 Set of Lecture Notes

References

 Advanced Engineering Mathematics, Second Edition, P. V. O'Neil 0-534-06792-1

Other Resources

Students will be expected to bring either a scientific or graphic calculator to every class.

Overview of Assessment

Assessment consists of Mid Semester Test (35%), Final Semester Examination (55%) and an Assignment(10%).

Assessment Tasks

Mid Semester Test

Topics: Vectors & Further Differentiations

Duration: 2 hours

Worth: 35% of overall score

Assignment

Topics: Vector Algebra , Further Differentiations and  Functions of Several Variables

Duration: 2 Weeks

Worth: 10% of overall score

Final Semester Examination

Topics: Fuctions of Several Variables and Series

Duration: 2 hours.

Worth: 55% of overall score.

Note: This course outline is subject to change. Students should check with their lecturer.

Assessment Matrix

Course Overview: Access Course Overview