Subject: Analytic Geometry

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 1: Introduction to Geometry, Directed Line Segments, The Cartesian Plane, Distance Formula

LESSON 2: Midpoint of a Line, Point-of-Division Formulas

LESSON 3: Slope of a Line in term of Angle inclination, Slope of a line in terms of Coordinate

LESSON 4: Slope of Perpendicular lines, Slope of Parallel Lines, Angle formed between two lines

LESSON 5: Finding the equation of a line using Two-point Form and Intercept Form

LESSON 6: Finding the equation of a line using Slope-Point Form and Slope-Intercept Form

LESSON 7: Finding the other forms of equation of a lines and Finding the Family of Lines

LESSON 8: Changing from General Form to Standard Equation of a line and Finding distance from line to a point

LESSON 9: Standard form of the equation of the circle, Equation of circles with center at origin, General form of the equation of a circle

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

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credit: CMO 29 s2007©2013 www.FroydWess.com

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