PMC 0045
PreCalculus for Engineering
Foundation in Engineering
ONLINE NOTES
Topic 11
Conic Sections and Analytic Geometry
FOSEE , MULTIMEDIA UNIVERSITY
(436821T)
MELAKA CAMPUS, JALAN AYER KEROH LAMA, 75450 MELAKA, MALAYSIA.
Tel 606 252 3594 Fax 606 231 8799
URL: http://fosee.mmu.edu.my/~asd/
Mathematics Department
(MD)
Centre for Foundation Studies and Extension Education
(FOSEE)
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PMC0045
PreCalculus for Engineering
Topic 11
TOPIC 11: CONIC SECTIONS AND ANALYTIC GEOMETRY
References
:
1.
Sullivan, M. (2002),
Algebra & Trigonometry
, 6
th
Ed., Prentice Hall.
2.
Blitzer, R., Goh Wei Wei, et.al. (2005),
Algebra & Trigonometry
,
Prentice Hall.
Objectives:
1.
Study the polar coordinates system
2.
To identify and graph parabolas.
3.
To identify and graph ellipses and hyperbolas
Contents:
11.1
The Ellipse
11.2
The Parabola
**For all the graphs, please refer to the textbook
.
Conics
are curves that result from the intersection of a (right circular) cone and a plane.
The conics we shall study arise when the plane does not contain the vertex.
These conics are
circles
when the plane is perpendicular to the axis of the cone and
intersects each generator(axis and generator);
ellipses
when the plane is tilted slightly so
that it intersects each generator, but intersects only one nappe of the cone; (nappe  the
cone consists of two parts that intersect at the vertex);
parabolas
when the plane is tilted
further so that it is parallel to one(and only one) generator and intersects only one nappe
of the cone; and
hyperbolas
when the plane intersects both nappes.
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 Spring '09
 none
 Conic section, MAJOR AXIS, Mathematics Dept

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