Unit 1 – Linear Systems

Linear systems refer to a mathematical concept that deals with systems of linear equations. A linear system consists of multiple linear equations involving multiple variables. The goal is to find a solution that satisfies all the equations simultaneously. Solving a linear system involves finding the values of the variables that satisfy all the equations. This can be done using various methods, such as substitution, elimination, or graphing.

Unit 2 – Analytic Geometry

Analytic geometry, also known as coordinate geometry, is a branch of mathematics that combines algebra and geometry. It provides a framework for studying geometric figures using coordinate systems and algebraic techniques. The key idea in analytic geometry is to represent geometric objects, such as points, lines, and curves, using coordinates on a coordinate plane.

Unit 3 – Geometric Properties

Coordinate geometry provides a powerful framework for analyzing and understanding geometric properties in a mathematical and systematic way. By representing geometric objects and problems algebraically, you can employ algebraic techniques to solve problems, make connections between geometric concepts, and gain deeper insights into the properties of figures and equations.

Unit 4 – Quadratic Relations

Quadratic relations are algebraic relationships involving quadratic equations. A quadratic equation is a polynomial equation of degree 2. Understanding quadratic relations is important for solving problems involving quadratic equations, analyzing their graphs, and interpreting their real-world implications. Key concepts and properties related to quadratic relations include Graphical Representation, Vertex, Axis of Symmetry, Roots or Solutions, Discriminant, Maximum and Minimum Values.