Did you know that René Descartes created Analytic Geometry? You know, “I think; therefore I am.” and the Cartesian plane. Independently Pierre de Fermat also developed Analytic Geometry, and you should wonder without Analytic Geometry, would there be any calculus, any modern-day technology? Introducing Dave’s online math course: Topics in Analytic Geometry. This course begins your journey down a road where you end up developing …
Who This Course is For
- Students in college who want to learn more mathematics.
- Anyone interested in analytic geometry.
- Students who are enrolled in precalculus and want to improve their grade.
- Anyone interested in getting prepared for calculus 1.
- Anyone wanting to learn about parabolas, circles, ellipses, hyperbolas, parametric equations, and polar coordinates.
Requirements
There is no required textbook, though you will need an up-to-date web browser, paper, and pen. A hand-held scientific calculator of your choice is required.
What You’ll Learn in Topics in Analytic Geometry
- Conics
- Circles
- Parabolas
- Reflective Property of Parabolas
- Ellipses
- Eccentricity
- Hyperbolas
- Asymptotes of a Hyperbola
- General Equations of Conics
- Plane Curves
- Sketching a Plane Curve
- Eliminating the Parameter
- Finding Parametric Equations for a Graph
- Polar Coordinates
- Coordinate Conversion
- Equation Conversion
- Graphs of Polar Equations
- Symmetry
- Zeros and Maximum r-Values
- Special Polar Graphs
- Alternative Definition of Conics
- Polar Equations of Conics
Course Description
Recommended Prerequisites for Topics in Analytic Geometry
I recommend the prerequisite course Sequences and Series. If you’re not sure if this course is for you, checkout the course contents below or find out more by checking out my free precalculus articles.
