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CALCULUSEE005
(4 CREDIT HOURS)
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.
ASSESSMENT
Test 1 10% Test 2 10%Mid-term 20%Final exam 60%TOTAL 100%
* Tutorials/Assignments may be prorated into Test marks
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.
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.
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.
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.
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.
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.
COURSE OUTLINE
SeriesSequences and seriesInfinite seriessum of infinite series. Power seriesMacLaurin’s seriesTaylor seriesexponential and logarithmic seriestrigonometric series.
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.
CONSULTATION HOURS
Can be found in Faculty of Applied Sciences (Blue door).
Please make an appointment (by e-mail) prior to meeting me.
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.
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/
LEARNING IS A 2 WAY PROCESSNO ONE KNOWS EVERYTHING
DO NOT BE AFRAID TO ASK QUESTIONS
MAKE A PROFESSION OUT OF YOUR PASSION
WEEKLY HOMEWORK (COMPULSORY)
Visit this wikispace weekly for notes, weekly activity and announcements:-
http://ee005-jan10.wikispaces.com/
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