UNIT 1: Analytic Geometry

What happens when we combine algebra & geometry? For others, it may be confusing and intimidating, but did you know that we will form a new branch of mathematics that is concerned with it? Its the analytic geometry or also known as Cartesian geometry. Using the cartesian coordinate system, we can show and describe the curves and geometric objects with their properties in numerical terms. Rene Descartes was credited with formulating this concets of analytic, particular in conic sections. Today, application of the concepts are vital in wide variety of disciplines such in architectural designs, engineering projects, astronomy, computers, mapping, surveying, navigations, and etc.

Figure 1. A conic section

Figure 2. Rene Descartes

Here's the expected lessons for this unit:

- - - Lesson 1: Introduction to Conic Sections
    - Lesson 2: Circles
    - Lesson 3: Ellipse
    - Lesson 4: Parabola
    - Lesson 5: Hyperbola
    - Lesson 6: Systems of Non-Linear Equations

To better understand the concepts, here is the learning module:

UNIT 1_Analytic Geometry-Conic Sections.pdf

For the guidance and better understanding of the topics in Pre-Calculus, you may watch this playlist that contains different lesson in this subject: