1

2

3

[1]

[2]

[3]

i

ii

Assessment* Marks

Quiz 10%

Test 1 15%

Test 2 15%

Assignment 20%

Final Examination 40%

Total 100%

ENGINEERING MATHEMATICS

Maurice D. Weir, Joel Hass, George B. Thomas, Thomas' calculus,Addison-Wesley,2010

2. Synopsis

1. Learning Outcomes

3. Pre requisite

DEKA 1222 Calculus

4. References

Muzalna M Jusoh et. al., Engineering Mathematics, 2nd Edition, Pearson, Prentice Hall,2009

This subject consists of three chapters: Functions of Several Variables, Multiple Integrals and Vector-valued Functions. The syllabus is

extended from subject Calculus by emphasize the concepts of the functions with severable variables, double and triple integrations and also

vector-valued function, followed by learning various techniques in solving the problems and its application in physical and engineering fields.

6. Subject Evaluations

DEKA 2342

Apply the techniques of integration to calculate the properities of solid such volume, mass and moment of inertia, and use vector valued

function to calculate curvature and torsion for certain functions. (PO1,C3,PO2,CTPS3).

Solve double and triple integrals of functions using various techniques (PO1,C3,CTPS3).

Identify the multivariable functions together with its domain and range (PO1,C1,CTPS3).

Ron Larson, Bruce H. Edwards, Multivariable Calculus,Belmont, 2010

Lectures - 2 hours per week for 9 weeks (Total = 18 hours)

Tutorials - 1 hour per week for a total of 12 weeks (Total = 12 hours)

Teaching Plan

Upon completion of this subject, the student should be able to:

SEMESTER 1 SESSION 2011/2012

FAKULTI KEJURUTERAAN ELEKTRIK

5. Subject Implementations

UNIVERSITI TEKNIKAL MALAYSIA MELAKA

7. Detail Syllabus and Delivery Planning Date Modified:

Note: 1. Tutorial sessions (1h): 4 to 6 weeks throughout the semester

2. Test 1 (Week 6-8); Test 2 (Week 10-12) 16/11/2011

Week Contents References

1 [1,2,3]

2 [1,2,3]

3 [1,2,3]

4 [1,2,3]

5 [1,2,3]

6 [1,2,3]

7 [1,2,3]

SEMESTER BREAK

8 [1,2,3]

9 [1,2,3]

10 [1,2,3]

11 [1,2,3]

12 [1,2,3]

13 [1,2,3]

14 [1,2,3]

15 REVISION WEEK

16 FINAL EXAMINATION

Chapter 1: Multivariable Functions

Functions of two or more variables

Limits

Continuity

Partial derivatives

Total Differential

The Chain Rule

Implicit Differentiation & Local Extrema

Chapter 2: Multiple Integrals

Triple Integral

Triple Integral in Cylindrical and Spherical Coordinates

Moment and Centre of Gravity

Chapter 2: Multiple Integrals

Evaluating Double Integral

Double Integral Over Non-rectangular Regions

Double Integral in Polar Coordinates

Chapter 3: Vector-Valued Functions

Vector Functions and Its Operations

Differentiation of Vector-valued Functions

Unit Tangent Vector

Integration of Vector-valued Functions

Curvature

Torsion

Unit Binormal Vector

Motion Along a Curve

LO 1 2 3 4 5 6 7 8 9 10 11 1 2 3 4 5 6 1 2 3 4 5 6 7 1 2 3 4 5

1 / / /

2 / / / /

3 / / / /

LO 1 2 3 1 2 3 4 5 6 7 8 1 2 3 4 5 6 7 1 2 3 4 1 2 3 4 5 1 2 3 1 2 3 4

1 / / /

2 / / /

3 / / /

Notes:

8. Matrix Learning Outcome (LO) Versus Program

Outcome (PO) & Taxonomy

LL CS CTPS ES

Quizzes/ Assignment/

Test/ Examination

Matrix LO VS PO Matrix LO VS Taxonomy

PO Cognitive Psychomotor Affective Assessment

Quizzes/ Assignment/

Test/ PBL/ Examination

9. Matrix Learning Outcome (LO) Versus Soft Skills (KI)

LL: Life Long Learning

CS: Communication Skills

CTPS: Critical Thinking & Problem Solving

ES: Entrepreneurship Skills

TS: Teamwork Skills

EM: Ethic & Moral

LS: Leadership Skills

TS EM LS

Quizzes/ Assignment/

Test/ Examination

Approved by ;

Name Dean/Deputy Dean(Academic)/ HOD

Stamp : Stamp :

Date : Date :

Dean/Deputy Dean(Academic)/ HOD

Dean/Deputy Dean(Academic)/ HOD

VERIFICATION OF TEACHING PLAN IMPLEMENTATION

(MID SEMESTER BREAK)

TEACHING PLAN APPROVAL

Prepared by ;

Comment :

:

Checked by ;

Stamp : Date : ______________________

VERIFICATION OF TEACHING PLAN IMPLEMENTATION

Stamp : Date : ______________________

(WEEK 16)

Comment :

Checked by ;