CALCULUS
EE005
(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: C207
Tutorials: Wednesday, 9.30am – 11am Venue: C312
Thursday, 2pm – 3.30pm
Venue: C202
* 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
Test 2
Mid-term
Final exam
TOTAL
10%
10%
20%
60%
100%
* Tutorials/Assignments may be prorated into Test marks
COMMON RULES AND
REGULATIONS
 Attendance
the class.
will only be given to those who attend
 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
 Ask

(Scientific) – mandatory!
questions if you are unclear
Never be shy to ask ‘silly’ questions for they just may
very well be on others’ minds.
COURSE OUTLINE
 Derivatives

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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 Sketching
Maximum and minimum values.
Application of derivatives to motion (velocity
and acceleration) and curve sketching.
COURSE OUTLINE
 Integrals

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
the definition of the integral
properties of the integral
improper 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
 Series

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Sequences and series
Infinite series
sum of infinite series.
Power series
MacLaurin’s series
Taylor series
exponential and logarithmic series
trigonometric 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 Calculator
http://my.hrw.com/math06_07/nsmedia/tools/Graph
_Calculator/graphCalc.html

Interactive Math
http://www.intmath.com/

LEARNING IS A 2 WAY PROCESS
NO ONE KNOWS EVERYTHING
DO NOT BE AFRAID TO ASK QUESTIONS
WEEKLY HOMEWORK

Visit this wikispace weekly for notes, weekly
activity and announcements:-
http://ee005-sept09.wikispaces.com/