Course Title: Advanced Engineering Mathematics 1

Part B: Course Detail

Teaching Period: Term2 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. Mr. Brian Hayes
 

Building 51 Level 5 Room 5a
Ph: 9925 4282
brian.hayes@rmit.edu.au

2. Ms Donna  Baker

Building 8 Level 9 Room 73
Ph: 9925 3763
donna.baker@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 STARTINGWEEK NUMBERCONTENT
06 Jul1 Introduction to Vectors Algebra
13Jul2 Dot and Cross Product with Applications
20Jul3 Application of Vectors to Lines
27 Jul4 Application of Vectors to Planes
03Aug5 Logarithmic Differentiation
10 Aug6 Derivatives of Inverse Trigonometric Functions
17 Aug7 Derivatives of Hyperbolic Functions 
24 Aug8 Mid semesterTEST (40%)
31 Aug9 Mid semester break (29 Aug-04 Sept)
07 Sept10 Functions of Several Variables, Partial Derivatives
14 Sept11 Directional Derivatives, Tangent plane & normal line
21 Sept
 
12 Double Integrals
28 Sept13 Infinite Series and it’s test for convergence/divergence
 
05 Oct14 Infinite Series and it’s test for convergence/divergence
12 Oct15 Power series: Maclaurin’s series
19 Oct16 Taylor’s series (Written assignment Due, 10%)
26 Oct17 Revision
29 Oct/02Nov
18/19 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%)


Assessment Tasks

  • 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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