# Course Title: Advanced Engineering Mathematics 1

## Part B: Course Detail

Teaching Period: Term2 2013

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

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

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.

Teaching Schedule

 WEEK STARTING WEEK NUMBER CONTENT 08 Jul 1 Introduction to Vectors Algebra 22 Jul 2 Dot and Cross Product of vectors 29 Jul 3 Resolution of vectors 5 Aug 4 Equation of planes and lines 12 Aug 5 Logarithmic Differentiation 19 Aug 6 Derivatives of Inverse Trigonometric Functions 26 Aug 7 Derivatives of Hyperbolic Functions 2 Sep 8 Mid Semester Break (2 - 6 Sep) 9 Sep 9 Test 1 worth 35% 16 Sep 10 Functions of Several Variables - Partial Derivatives 23 Sep 11 Directional Derivatives 30 Sep 12 Multiple Integrals 7 Oct 13 Arithmetic and Geometric Progression 14 Oct 14 Telescoping Series and Ratio Test 21 Oct 15 Taylor Series and Approximation of Differentiable Functions 28 Oct 16 Revision 4 Nov 17 End of Semester Examination (4 - 15 Nov)

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%)

Mid Semester Test

Topics: Vectors & Further Differentiations

Duration: 2 hours

Worth: 40% 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: 50% of overall score.

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

Assessment Matrix

Course Overview: Access Course Overview