MM103 : Planar and Analytical Geometry

Department

Academic Program

Type

Compulsory

Credits

Prerequisite

Overview

This course introduces the student to the basic concepts of the coordinate system (Cartesian, polar) and the relationship between them. It also deals with some engineering concepts such as point and slope (distance between two points - dividing straight lines from inside and outside). This course also aims to develop the student's ability to identify vectors (in two dimensions), change coordinates and the straight line (the different forms of the straight line equation), as well as knowing the basic concepts in the circle and conic sections.. The course also aims to enhance students' skills in solving problems with several ideas dealing with circles and conic sections.

Intended learning outcomes

By the end of the course, the student should be able to:-

1. Recognize the Cartesian and polar coordinates and the various forms of straight line equations.

2. Explain vectors and their applications.

3. Define and explain the process of transferring the axes and its applications in various fields.

4. Describe and represent equations of the second degree graphically (circle and conic sections).

5. Compare the Cartesian and polar coordinates and the transformations between them.

6. Distinguish between parallel, perpendicular, and other lines.

7. Deduce equations of the second degree and their different forms for the circle and conic sections.

8. It connects the location of the pattern in the Cartesian coordinates before and after changing the coordinates.

9. He applies his knowledge of Cartesian and polar coordinates and various forms of straight-line equations.

10. Use properties and operations on vectors in practical applications.

11. Distinguish between coordinates when changing geometric shapes by displacement, rotation and reflection practically.

12. Use engineering skills to draw circles and conic sections.

Teaching and learning methods

1- Theoretical lectures

. 2- Discussion and dialogue

. 3- Brain storming

. 4- Using mathematical proof methods

. 5- Exercises, trainings and multi-idea problem-solving

Methods of assessments

. 1- A written exam (essay + objective) = 25 marks, or its assessment is left to the course instructor

2- Short tests (written or oral), demonstration tasks, applications, exercises, and presentation = 15 marks, or the assessment is left to the course instructor.

3- Written final exam (essay + objective) = 60 mark

Course Contents

tutorial	Lecture	credit	Subject	Week
2	4	8	Polar and Cartesian coordinate system	1-2
2	4	8	Divide a line segment inside and outside and the distance between two points	2-3
			First midterm exam (2 hours)	3-4
1	2	3	Subring and its properties- Integral domain and its properties	5
1	2	3	slope	6-7
2	6	8	Vectors	7-8
1	3	4	Different forms of straight line equations	9
	Second midterm exam (2 hours)			10
2	4	6	Circles	10-11
4	8	12	Conic sections	12-13-14
			Final exam
		56	Total

References

Title of reference	Publisher	Version	Author	location
Planar Analytical Geometry	Dar Al-Hekma	1999	Dr. Gomha Swissy Dr. Ahmed Abdel-Moatal	Library Department

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