# Course Title: Advanced Engineering Mathematics 1

## Part B: Course Detail

Teaching Period: Term2 2010

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 Michael Nyblom

Building 8 Level 9 Room 31
Ph: 9925 2189
michael.nyblom@rmit.edu.au

2. Dr John Newberry

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 05 Jul 1 Introduction to Vectors Algebra 12 Jul 2 Dot and Cross Product with Applications 19 Jul 3 Application of Vectors to Lines 26 Jul 4 Application of Vectors to Planes 02 Aug 5 Logarithmic Differentiation 09 Aug 6 Derivatives of Inverse Trigonometric Functions 16 Aug 7 Derivatives of Hyperbolic Functions (Written assigment-1a Due, 5%) 23 Aug 8 Mid semesterTEST (40%) 30 Aug 9 Mid semester break (30 Aug-05 Sep) 06 Sep 10 Functions of Several Variables, Partial Derivatives 13 Sep 11 Directional Derivatives, Tangent plane & normal line 20 Sep 12 Double Integrals 27 Sep 13 Arithmetic and Geometric Progression/series 04 Oct 14 Test for convergence: Comparision & Ratio Test 11 Oct 15 Power series and it’s convergence 18 Oct 16 Maclaurin’s & Taylor’s series (Written assigment-1b Due, 5%) 25 Oct 17 Revision
01 Nov/08Nov                        18/19                                    End Semster 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 (1a &1b) 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 teacher.

Assessment Matrix

Assessment                                 Topics covered                                               % of Total Assessment

1. Mid semester test                           Studied during week 1-7                                                         40
2. Assignment                                     Studied during week 1-6 (1a) & 10-14(1b)                             10
3. End semester test                           Studied during week 10-17                                                     50

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