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FACULTY OF SCIENCE / MATHEMATICS / MAT2003 - ANALYTIC GEOMETRY I
GENERAL INFORMATION ABOUT THE COURSE
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Theoretical
Practical
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Course Objective
Undergraduate and graduate students need to give basic information about analytical geometry.To understand the method to be followed in solving problems
Brief Content of the Course
Orthogonal coordinate system in plane and space, Vectors in plane, Line equation in plane, Plane equation in space, Line-plane relations, Vectors in space, Linear dependence and independence of vectors, Inner product, vector product, linear equation systems, Line equation in space, projection of a point onto a line, distance, distance between two lines, line equation in plane, projection of a point onto a line, distance, half plane, plane in space, projection of a point onto a plane, distance, half space, angle between two planes, general definition of conic curves, circle. Tangent of a circle, force of a point with respect to a circle, touching beam, Ellipse, equation of ellipse, rectangles, Hyperbola, equation of hyperbola, asymptotes, rectangles, Parabola, equation of parabola, Curve in space, some special curves and their effect on sustainable development,
Prerequisites
Course Objectives
Course Objectives
1
To teach vectors and line equation in plane
2
To teach vectors and line equation in space
3
To teach the plane equation in space
4
To introduce conics and conic sections
5
To teach a circle and analytic review
6
To teach an ellipse and analytic review
7
To teach a hyperbola and analytic review
8
To teach a parabola and analytic review
9
to teach Translation and rotation functions.
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Mathematics and Basic Sciences
Basic Vocational Courses