Course image MAT1163 ANALYTICAL GEOMETRY I
Trim I

Analytic geometry, also called coordinate geometry, mathematical subject in which algebraic symbolism and methods are used to represent and solve problems in geometry. The importance of analytic geometry is that it establishes a correspondence between geometric curves and algebraic equation. This correspondence makes it possible to reformulate problems in geometry as equivalent problems in algebra, and vice versa; the methods of either subject can then be used to solve problems in the other. For example, computers create animations for display in games and films by manipulating algebraic equations.

The module’s aim is to: solve problems involving angles, points, straight lines, planes, coordinate systems, curves and surfaces  in an affine Euclidean space. Furthermore,

The module will be deals with lines and planes in two and three dimensions as well as angles between them. Curves and conics in two dimensions are also described.

  • Find distance formula between two given points
  • Write the equation of a line if two points or a point and the slope is known
  • Find the intersection of two given curves
  • Classify equation of curves such as circles, ellipses, hyperbolas and parabolas