### Course Name

**ANALYTIC GEOMETRY**

### Course Description

- Equations of lines and conic sections; curve tracing in both rectangular and polar coordinates in two-dimensional space.

### Prerequisites:

- College Algebra
- Plane and Spherical Trigonometry

### Course Objectives

**After completing this course, the student must be able to: **

- 1. Set up equations given enough properties of lines and conics;
- 2. Draw the graph of the given equation of the line and the equation of the conic section; and
- 3. Analyze and trace completely the curve, given their equations in both rectangular and polar coordinates, in two-dimensional space.

### Analytic Geometry Course Outline

Following is the list of topics we will discuss in this course:

**I. Plane Analytic Geometry**

LESSON 8:

**Changing from General Form to Standard Equation of a line and Finding distance from line to a point**LESSON 10:

**Determine Circles by Geometric Conditions**LESSON 11:

**Conic Sections: Parabola**LESSON 12:

**Conic Sections: Ellipse**LESSON 13:

**Conic Sections: Hyperbola**### Suggested References

Fuller, Gordon and Dalton Tarwater. Analytic Geometry, 7th ed. AddisonWesley,1993. Protter, Murray H. and Philip E. Protter. Calculus with Analytic Geometry, 4th ed. Quirino and Mijares. Plane and Analytic Geometry, 2nd ed. Riddle, Douglas F. Analytic Geometry, 6th ed. Swokowski, Earl W. and Jeffrey A. Cole. Algebra and Trigonometry with Analytic Geometry, 10th ed. Brooks/Cole Publishing Co., 2001. Analytic Geometry (Made Easy) Felipe L. Commandante, Jr

Thanks for providing such detailed description and a course outline of Analytic geometry. All the interested students will now get benefit from your described outline.