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Course Description form
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Course Title
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English Code /No
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ARABIC code/no.
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credits
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Th.
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Pr.
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Tr.
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TCH
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Analytic Geometry
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Math 261
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ر261
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3
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1
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3
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Pre-requisites
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Math 251
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Brief contents, to be posted in university site and documents(4-5 lines):
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Plane analytic geometry: two dimensional coordinate system, first and second degree equations, locus, lines, circles, conic sections, translation, rotation, conics in polar form, tracing of curves. Solid geometry: three dimensional coordinate system, planes, lines, and surfaces.
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Faculties and departments requiring this course (if any): Faculty of Science
Department of Mathematics
Objectives: Prefer In points
1- To understand the relationship between Algebra and Geometry.
2- To understand the concepts of inclination, slope, and tangent.
3- To recognize the different formula for an equation of a line in a plane and space.
4- To see the difference among the distance between two points, distance from a point to a line, and a distance from a point to a plane.
5- To illustrate the difference between the standard form and the general form for an equation of a circle.
6- To study the conic sections and to understand its translation and rotation.
7- To understand the relationship between rectangular and polar coordinates.
8- To study the conic sections in polar coordinates.
9- To study the parametric equations.
10- Introduction to solid analytic geometry.
11-To introduce the concept of mathematical objects in space.
12-To study planes, lines, spheres and various other surfaces.
Contents: Prefer In points
1- Coordinate system of two dimensions
2- Lines
3- Circles
4- Parabola, ellipse, hyperbola
5- Transformations of axes
6- Curves in polar coordinates
7- Coordinate system of three dimensions
8- Planes
9- Lines
10- Surfaces
Course Outcomes:
A- Knowledge:
(Specific facts and knowledge of concepts, theories, formula etc.)
Practical knowledge about how the geometric objects in a plane or space can be studied algebraically is truly developed in this subject. They can understand the difference among different mathematical terms, like postulate (Euclid’s postulates), theorems (finding distance between objects can be stated as a theorem), undefined terms (point is an undefined term), etc. The students learn from this course how a geometric object can get a mathematical formulation.
B-Cognitive Skills:
(Thinking, problem solving )
This is a very practical course. Their cognitive skills improve by solving hundreds of problems of different types within a domain. The nature of problems is such that they can visualize mathematical statements geometrically and conversely they can think and formulate geometric objects algebraically. For instance, if they prove a theorem for finding distance between a point and a line, their thinking run with the proof, or if they rotate a conic to a certain degree, their imagination goes with it, etc.
C- Interpersonal skills and responsibilities
(group participation, leadership, personal responsibility, ethic and moral behavior, capacity for self directed learning)
In general, Mathematics teaches a very well skilled and disciplined life.
D- Analysis and communication:
(communication, mathematical and IT skills)
The students learn from this course how the geometric objects can get a mathematical formulation.
Text book: Only one
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Title: Analytic Geometry 6th Edition
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Author: Douglas F. Riddle Analytic Geometry 6th Edition PWS Publishing
Comp. 1996.
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Supplementary references
Title: Calculus, Eight Edition
Author: H. Anton I. Birens and S. Davis John Wiley & Sons Inc. 2005..
Publisher: John Wiley & Sons Inc. 2005.
Other Information Resources
Different web searches, like wikipedia, wolfram, kurriiki, ask, google, bing.
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Time table for distributing Theoretical course contents
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Remarks
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Experiment
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weak
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Introduction, Euclidean Axiom’s, Coordinate systems
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1
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Distance formula, Point-of-division formula, Area of a triangle, Determinants.
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2
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Inclination. Slopes, Angle between lines.
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3
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Graphs, Equations.
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4
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The Line, one point form, two points form, slope form,
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5
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The Line, intercept form, applications
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6
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Circles, standard & general forms, Tangents to circles.
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7
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Conics, parabola, ellipse
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8
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Hyperbola, tangents to these curves.
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9
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Transformations, translations, rotations, affine transformations.
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10
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General conics.
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11
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Polar coordinates, tracing of curves.
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12
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Solid geometry, an introduction, direction cosines, etc.
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13
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Planes and lines.
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14
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Surfaces.
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15
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Final exam.
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