# Course Title: Advanced Engineering Mathematics 1

## Part B: Course Detail

Teaching Period: Term2 2009

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

Dr. Ejanul Haque

Building 51 Level 6 Room 21
Ph: 9925 4530
ejanul.haque@rmit.edu.au

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

 WEEK STARTING WEEK NUMBER CONTENT 06 Jul 1 Introduction to Vectors Algebra 13 Jul 2 Dot and Cross Product with Applications 20 Jul 3 Application of Vectors to LInes 27 Jul 4 Application of Vectors to Planes 03 Aug 5 Logarithmic Differentiation 10 Aug 6 Derivatives of Inverse Trigonometric Functions 17 Aug 7 Derivatives of Hyperbolic Functions 24 Aug 8 Mid semester TEST 31 Aug 9 Mid semester break (31 Aug-06 Sep) 07 Sep 10 Functions of Several Variables, Partial Derivatives 14 Sep 11 Directional Derivatives 21 Sep 12 Double Integrals 28 Sep 13 Arithmetic and Geometric Progression/series 05 Oct 14 Comparision & Ratio Test (Written assigment Due) 12 Oct 15 Maclaurin’s series 19 Oct 16 Taylor’s series 26 Oct 17 Revision
02 Nov/09Nov                        18/19                                    End Semster TEST

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 tset worth 40%, and assignment worth 10%, and End semester test worth 50% of total assessment.

The tests will be closed book.

Students have to complete the assigment outside the class time.

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

Assessment Matrix

Assessment                                                             Topics covered                                                               % of Total Assessment

Mid semester test                                                     Studied during week 1-7                                                         40

Assignment                                                                Studied during week 1-12                                                      10

End semester test                                                    Studied during week 10-17                                                      50

Course Overview: Access Course Overview