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CALCULUS EE005 (4 CREDIT HOURS) Mr Veerapen, M.K. [email protected]

CALCULUS EE005 (4 C REDIT H OURS ) Mr Veerapen, M.K. [email protected]

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Page 1: CALCULUS EE005 (4 C REDIT H OURS ) Mr Veerapen, M.K. mkveerapen@ucsi.edu.my

CALCULUSEE005

(4 CREDIT HOURS)

Mr Veerapen, [email protected]

Page 2: CALCULUS EE005 (4 C REDIT H OURS ) Mr Veerapen, M.K. mkveerapen@ucsi.edu.my

INTRODUCTION OF CALCULUS

Lectures: Tuesday, 12.30 pm – 2 pm Venue: C407 Thursday, 7.30 am – 9.30 am Venue:

C208

Tutorials: Wednesday, 9.30am – 11am Venue: C202 Thursday, 2pm – 3.30pm Venue: CG04

* Students may choose one TUTORIAL session only to attend.

** No skipping and switching between sessions.*** Cancellation of tutorials will be notified during

lectures.**** No tutorials will be held during assessment weeks.

Page 3: CALCULUS EE005 (4 C REDIT H OURS ) Mr Veerapen, M.K. mkveerapen@ucsi.edu.my

ASSESSMENT

Test 1 10% Test 2 10%Mid-term 20%Final exam 60%TOTAL 100%

* Tutorials/Assignments may be prorated into Test marks

Page 4: CALCULUS EE005 (4 C REDIT H OURS ) Mr Veerapen, M.K. mkveerapen@ucsi.edu.my

COMMON RULES AND REGULATIONS Attendance will only be given to those who

attend the class.

Students are not allowed to sign their attendance for their friends. If found to do so, action will be taken.

Students are to switch off their mobile phones during lectures.

Students should not in any way interrupt the class but students are allowed to ask questions related to the class.

Page 5: CALCULUS EE005 (4 C REDIT H OURS ) Mr Veerapen, M.K. mkveerapen@ucsi.edu.my

COMMON RULES AND REGULATIONS All tutorials/assignments are to be genuinely

prepared by the students themselves. If found plagiarising, no marks will be given for the report.

Cheating in any form during quiz/tutorials/midterm are not allowed. If found, students will not be given marks for the quiz/tutorials/midterm and will be barred from the final.

Student(s) shall leave the class if he/she/they is/are found unable to abide to these rules.

Page 6: CALCULUS EE005 (4 C REDIT H OURS ) Mr Veerapen, M.K. mkveerapen@ucsi.edu.my

COMMON RULES AND REGULATIONS: ASSESSMENTS

No replacement will be given to students unless medical cert (MC) from a government hospital or UCSI clinic ONLY is produced.

Notification of absence must be e-mailed to lecturer within ONE working day. Failure to do so will result in immediate 0 for the absent assessment.

Page 7: CALCULUS EE005 (4 C REDIT H OURS ) Mr Veerapen, M.K. mkveerapen@ucsi.edu.my

REQUIREMENTS Always bring paper for rough calculations and

jotting notes

Calculators (Scientific) – mandatory!

Ask questions if you are unclearNever be shy to ask ‘silly’ questions for they just

may very well be on others’ minds.

Page 8: CALCULUS EE005 (4 C REDIT H OURS ) Mr Veerapen, M.K. mkveerapen@ucsi.edu.my

COURSE OUTLINEDerivatives

Limit, slope of the tangent line, the derivative fraction

Properties of derivatives, The chain rule, derivatives of trigonometric, logarithmic, and

exponential functions. Higher order derivatives.Curve SketchingMaximum and minimum values. Application of derivatives to motion (velocity

and acceleration) and curve sketching.

Page 9: CALCULUS EE005 (4 C REDIT H OURS ) Mr Veerapen, M.K. mkveerapen@ucsi.edu.my

COURSE OUTLINE

Integralsthe definition of the integralproperties of the integralimproper integrals. Integration by parts and trigonometric

substitutions.Integration using the method change of

variables.Area under/between a curve(s)Volume of revolution. Applications - work and pressure.

Page 10: CALCULUS EE005 (4 C REDIT H OURS ) Mr Veerapen, M.K. mkveerapen@ucsi.edu.my

COURSE OUTLINE

SeriesSequences and seriesInfinite seriessum of infinite series. Power seriesMacLaurin’s seriesTaylor seriesexponential and logarithmic seriestrigonometric series.

Page 11: CALCULUS EE005 (4 C REDIT H OURS ) Mr Veerapen, M.K. mkveerapen@ucsi.edu.my

LEARNING OUTCOMES To understand the ideas of Calculus.

To analyse and solve problems from different domains that require limits, derivatives, integration of functions and series.

To develop specific skills in selecting and using an appropriate problem-solving strategy or combination of strategies.

To apply a variety of methods to solve real-life, practical, technical, and theoretical problems.

Page 12: CALCULUS EE005 (4 C REDIT H OURS ) Mr Veerapen, M.K. mkveerapen@ucsi.edu.my

CONSULTATION HOURS

Can be found in Faculty of Applied Sciences (Blue door).

Please make an appointment (by e-mail) prior to meeting me.

Page 13: CALCULUS EE005 (4 C REDIT H OURS ) Mr Veerapen, M.K. mkveerapen@ucsi.edu.my

REFERENCES

Will be updated from time to time

Calculus and It’s Applications: 12th Edition by Goldstein et al.. Pearson Ed.

Calculus: 9th Edtion by Varberg et al. Pearson Ed.

Page 14: CALCULUS EE005 (4 C REDIT H OURS ) Mr Veerapen, M.K. mkveerapen@ucsi.edu.my

USEFUL SOFTWARE/MEDIA

Microsoft Math (Microsoft Student package)

Graphing Calculatorhttp://my.hrw.com/math06_07/nsmedia/tools/Graph_Calculator/graphCalc.html

Interactive Mathhttp://www.intmath.com/

Page 15: CALCULUS EE005 (4 C REDIT H OURS ) Mr Veerapen, M.K. mkveerapen@ucsi.edu.my

LEARNING IS A 2 WAY PROCESSNO ONE KNOWS EVERYTHING

DO NOT BE AFRAID TO ASK QUESTIONS

MAKE A PROFESSION OUT OF YOUR PASSION

Page 16: CALCULUS EE005 (4 C REDIT H OURS ) Mr Veerapen, M.K. mkveerapen@ucsi.edu.my

WEEKLY HOMEWORK (COMPULSORY)

Visit this wikispace weekly for notes, weekly activity and announcements:-

http://ee005-jan10.wikispaces.com/