Course Title: Advanced Engineering Mathematics 1

Part B: Course Detail

Teaching Period: Term1 2011

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 51-07-05



Mr. Ray Rozen

Phone : +61 3 9925 4699

Email : ray.rozen@rimt.edu.au

Room : 51.06.03


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 STARTINGWEEK NUMBER CONTENT
07 FEB 1 Introduction to Vectors Algebra
14 FEB 2 Dot and Cross Product of vectors
21 FEB 3 Resolution of vectors
28 Feb4 Equation of planes and lines
07 MAR5 Logarithmic Differentiation
14 MAR6 Derivatives of Inverse Trigonometric Functions
21 MAR7 Derivatives of Hyperbolic Functions
28 MAR8 Revision
04 APR 9 Test 1 worth 35%
11 APR10  Functions of Several Variables - Partial Derivatives
18 APR11 Mid Semester Break
25 Apr 12 Directional Derivatives
02 MAY13 Multiple Integrals
09 MAY14 Arithmetic and Geometric Progression
16 MAY 15 Telescoping Series and Ratio Test
23 MAY16 Taylor Series and Approximation of Differentiable Functions
30 May17 Revision
06 Jun18 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

Date: The week beginning 12th April

Worth: 35% of overall score

Assignment

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

Duration: 2 Weeks

Date: The week beginning 03rd May

Worth: 10% of overall score

Final Semester Examination

Topics: Fuctions of Several Variables and Series

Duration: 2 hours.

Date: The week beginning 7th June

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