BMETETOP104

Course data
Course name: Geometry 1
Neptun ID: BMETETOP104
Responsible teacher: Zsolt Papp
Programme: Pre-engineering
Course data sheet: BMETETOP104
Requirements, Information
  • Introduction

Ray, Angle, Directed Angle, Degree Measure, Radian Measure, Acute Angle, Obtuse Angle, Right angle, Positive and Negative Angles, Converting Radians to Degrees and reversely, Vertical Angles, Adjacent Angles, Complementary Angles.

  • Plane figures

Triangle, Properties of triangle, Right angle triangle, Isosceles Triangle, Equilateral triangle, Pythagorean Theorem, Area and Perimeter, Quadrilaterals definitions , Area and Perimeter, Circle, Diameter, Arc, Segment, Sector, Chord, Length of the Arc, Area of an Arc, Area of the Sector and Segment, Some properties of the circle, Polygons, Regular polygon, Size of each interior angle of the regular polygon.

  • Geometrical solids

Face, Edge, Vertex, Parallelepiped, Right Prism, Right Cylinder, Right Pyramid, Right Cone, Sphere, Surface Area and Volume of Geometrical Solids.

  • Trigonometry

Similar triangles, Right triangle trigonometry, Trigonometric Ratios, Reciprocal Ratios, Application of right triangle trigonometry, The angle of elevation, The angle of depression, The angle subtended by an object, Fundamental Identities, Trigonometric ratios between 90° and 180°, The Oblique triangle, Sine Rule, Cosine Rule, Area Rule of triangle.

  • The Rectangular Coordinate System

Ordered Pair, Origin, x-axis , y-axis, Quadrants, Abscissa, Ordinate, Distance between two points, Midpoint, Slope, Inclination, Parallel Lines, Perpendicular Lines, Equation of a line, Equation of a Circle, Tangent to the circle.

  • Functions and Graphs

Function, Domain, Range, Linear Function, Quadratic Function , Graph of a Function (Linear, Quadratic, Broken-line, The Greatest integer), Optimization, Absolute value Function