# Course Title: Advanced Engineering Mathematics 1

## Part B: Course Detail

Teaching Period: Term1 2012

Course Code: MATH5153

Course Title: Advanced Engineering Mathematics 1

School: 155T Life & Physical Sciences

Campus: City Campus

Program: C6016 - Advanced Diploma of Engineering Technology (Principal Technical Officer)

Course Contact : Dr. Ejanul Haque

Course Contact Phone: 9925 4530

Course Contact Email:ejanul.haque@rmit.edu.au

Name and Contact Details of All Other Relevant Staff

1. Dr. Donna Baker

Building 8 Level 9 Room 71
Ph: 9925 3763

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

The following modules (or equivalents) should be preferably completed prior to this module:
• EA 002 Engineering Mathematics A
• EA 003 Engineering Mathematics B
• EA 001 Calculus

Course Description

The purpose of this module 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, vector analysis and infinite series. The subject aims to show the relevance of mathematics to engineering and applied sciences. This module, in conjunction with Advanced Engineering Mathematics 2, also facilitates articulation to Degree courses in all streams of Engineering and forms a basis for more specialist branches of mathematics.

National Codes, Titles, Elements and Performance Criteria

 National Element Code & Title: VBH624 Advanced Engineering Mathematics 1

Learning Outcomes

On completion of this module the learner should be able to:
1. Simplify expressions and solve simple problems involving Exponential, Logarithmic, Trigonometric, Inverse Trigonometric, Hyperbolic and Inverse Hyperbolic Functions.
2. Use various types of Series to approximate given functions and hence solve simple problems involving Linear and Quadratic approximations and evaluation of integrals.
3. Apply the principles of Three Dimensional Vector algebra to solve a variety of basic problems in Engineering and Applied Science.
4. Apply the principles of Analytical Geometry and vector analysis to determine the equations of and relationships between straight lines and planes in Three Dimensional Space.
5. Represent data in Graphical Form and use graphs to determine constants and variables, and hence the equations of various functions.
6. Apply the principles of Differential Calculus to solve a variety of practical problems in Engineering and Applied Science.

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/lecture notes.

Teaching Schedule

 DATE WEEK NUMBER CONTENT 14 Feb 1 Introduction to Vectors Algebra 21 Feb 2 Dot and Cross Product with Applications 28 Feb 3 Application of Vectors to Lines 06 Mar 4 Application of Vectors to Planes 13 Mar 5 Logarithmic Differentiation 20 Mar 6 Derivatives of Inverse Trigonometric Functions 27 Mar 7 Derivatives of Hyperbolic Functions 03 Apr 8 Mid semesterTEST (40%) 10 Apr 9 Mid semester break (05 Apr - 11 Apr) 17 Apr 10 Functions of Several Variables, Partial Derivatives 24 Apr 11 Directional Derivatives, Tangent plane & normal line 01 May 12 Double Integrals 08 May 13 Infinite Series and it’s test for convergence/divergence 15 May 14 Infinite Series and it’s test for convergence/divergence 22 May 15 Power series: Maclaurin’s series 29 May 16 Taylor’s series (Written assignment Due, 10%) 05 Jun 17 Revision 12 Jun 18 End Semester TEST (50%)

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 for this module will consist of the following:

1. Mid semester test ( 40%)
2. Assignment (10%)
3. End semester test (50%)

• The assessment consists of Mid semester test worth 40%,  Assignment worth 10% , and End semester test worth 50% of total assessment.
•  The tests will be closed book.
• Students have to complete the assignment outside the class time.

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

Assessment Matrix

Assessment                                 Topics covered                                               % of Total Assessment

1. Mid semester test                           Studied during week 1-7                                                         40
2. Assignment                                     Studied during week 1-14                                                       10
3. End semester test                           Studied during week 10-17                                                     50

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