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 STARTINGWEEK NUMBERCONTENT
08 Jul1 Introduction to Vectors Algebra
22 Jul2 Dot and Cross Product of vectors
29 Jul3 Resolution of vectors
5 Aug4 Equation of planes and lines
12 Aug5 Logarithmic Differentiation
19 Aug6 Derivatives of Inverse Trigonometric Functions
26 Aug7 Derivatives of Hyperbolic Functions
2 Sep8 Mid Semester Break (2 - 6 Sep)
9 Sep9 Test 1 worth 35%
16 Sep10 Functions of Several Variables - Partial Derivatives
23 Sep11Directional Derivatives
30 Sep12 Multiple Integrals
7 Oct13 Arithmetic and Geometric Progression
14 Oct14 Telescoping Series and Ratio Test
21 Oct15 Taylor Series and Approximation of Differentiable Functions
28 Oct16 Revision
4 Nov17 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%)


Assessment Tasks

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