Rudiments of matrix calculus and solving systems of linear equations

  • The symbol ∑
  • Matrix calculus
  • Solving systems of linear equations
  • Using matrices in systems of linear equations

Planar analytic geometry

  • Rights
  • Conics

Real conics

Real analysis

  • Generalities about functions
  • Limits and continuity
  • Continuity of real functions of one variable real
  • Derivability
  • Integral calculus

Complex numbers

  • Introduction and solution of ax²+bx+c = 0, a,b,c ∈ R , a ≠ 0
  • Definitions
  • Geometric representation and trigonometric form
  • Addition and multiplication of complex numbers
  • Racins n-iths of a complex number
  • Exercises

Trigonometry

  • Definition of angles
  • The pointed and oriented plane
  • The trigonometric circle - The trigonometric numbers of an angle
  • Some properties of the trigonometric numbers of an angle
  • Relations between sin a, cos a and ctg a
  • Multidetermination of angles
  • Trigonometry formulae
  • Elementary trigonometric equations
  • Fundamental trigonometric equations
  • Equations that can be reduced to an equation of the second degree
  • Trigonometric equations of the type a sin x + b cos x = c
  • Rectangular triangles
  • Any triangles
  • Similitude of triangles
  • Exercises

Logic and reasoning

  • Logic of propositions
  • Logic of predicates