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 SAMPLE ENTRANCE EXAM QUESTIONS

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CONTENTS OF EXAM FOR EARLY ADMISSION

 

Physics Exam


FROM 1st BACCALAUREATE:

  1. The study of motion.
    Quantities for describing motion and the nature of its vectors. – Uniform rectilinear and accelerated motion. – Uniform circular motion. – Horizontal movement and oblique or parabolic movement.
     
  2. Dynamics.
    Newton's Laws. – Linear motion and mechanical impulse. – Variation and conservation of linear motion and momentum. – Universal law of gravity and object weight. – Frictional force on horizontal and inclined surfaces. – Elastic force. – Cable tension.
     
  3. Energy and its transfer. Heat and work.
    Concepts related to energy, work and heat and their relationships. – Kinetic energy. – Gravitational potential energy. – Elastic potential energy. – Principle of conservation and energy transformation.
     
  4. Electricity.
    Electrostatic interaction. – Definition of voltage: the voltage difference between two points on an electric field. – Electric current. – Ohm's law. – Resistor connections. – Applications to the study of circuits.

 
FROM 2nd BACCALAUREATE:

  1. Gravitational interaction.
    Moment of a force acting about a point. – Angular momentum. – Central forces. – Conservative forces. – Earth's gravitational field. – Movement of satellites and rockets.
      
  2. Vibration and waves.
    Simple harmonic motion: elongation, velocity and acceleration. – Dynamics of simple harmonic motion.

 

Mathematics Exam

 

  1. Arithmetic and algebra:
    Real numbers. – Solving polynomial, logarithmic and simple exponential equations. – Solving inequations.
     
  2. Geometry:
    Trigonometric ratios of an angle. – Using trigonometric formulas to solve triangles and other geometric problems. – Free vectors in a plane. Operations. Scalar product. Vector module. – Linear equations. Relative positions of lines. Distances and angles. – Conic sections.
     
  3. Analysis:
    Real functions of a real variable. Operations. – Elementary functions. – Introduction to limits in calculus. Continuity. – Introduction to derivatives in calculus. Application of relative extrema in calculus. – Graphical representations of functions.
     
  4. Statistics and probability:
    Bidimensional descriptive statistics. – Linear regression. – Combinatorics. – Study of joint, conditional, total and posterior probability. – Binomial and normal distributions.
      
  5. Linear algebra:
    Matrices. Matrix operations. – Determinants. Rank of a matrix. – Solving systems of linear equations.

 

CONTENTS OF EXAM FOR REGULAR ADMISSION (APRIL)

 

      
Physics Exam


FROM 1st BACCALAUREATE: 

  1. Study of motion.
    Quantities for describing motion and the nature of its vectors. – Uniform rectilinear and accelerated motion. – Uniform circular motion. – Horizontal movement and oblique or parabolic movement.
     
  2. Dynamics.
    Newton's Laws. – Linear motion and mechanical impulse. – Variation and conservation of linear motion and momentum. – Universal law of gravity and object weight. – Frictional force on horizontal and inclined surfaces. – Elastic force. – Cable tension.
     
  3. Energy and its transfer. Heat and work.
    Concepts related to energy, work and heat and their relationships. – Kinetic energy. – Gravitational potential energy. – Elastic potential energy. – Principle of conservation and energy transformation.
     
  4. Electricity.
    Electrostatic interaction. – Definition of voltage: the voltage difference between two points on an electric field. – Electric current. – Ohm's law. – Resistor connections. – Applications to the study of circuits.

   

FROM 2nd BACCALAUREATE: 

  1. Gravitational interaction.
    Moment of a force acting about a point. – Angular momentum. – Central forces. – Conservative forces. – Earth's gravitational field. – Movement of satellites and rockets.
     
  2. Vibration and waves.
    Simple harmonic motion: elongation, velocity and acceleration. – Dynamics of simple harmonic motion. – Wave motion: wave types and characteristics. – Huygens' Principle.
     
  3. Electromagnetic interaction.
    Electric fields: field strength and electric potential. – Gauss' theorem. – Magnetic fields created by electric currents. – Electromagnetic induction: Faraday's law and Lenz's law.
      
  4. Optics.
    The nature of light.- Variation in the speed of light in a medium. - Phenomena produced by a change of medium: reflection, refraction, absorption and dispersion. – Diffraction.

 

 

Mathematics Exam

 

  1. Arithmetic and algebra:
    Real numbers. – Solving polynomial, logarithmic and simple exponential equations. – Solving inequations.
     
  2. Geometry:
    Trigonometric ratios of an angle. – Using trigonometric formulas to solve triangles and other geometric problems. – Free vectors in a plane. Operations. Scalar product. Vector module. – Vectors in three dimensional space. Scalar, vector and mixed product. – Linear equations. Relative positions of lines. Distances and angles. – Linear equations and planes in space. Solving relative position problems. – Conic sections. – Solving metric problems related to calculating angles, distances, areas and volumes.
     
  3. Analysis:
    Real functions of a real variable. Operations. – Elementary functions. – Graphical representations of functions.– Calculating limits. Continuity– Calculating derivatives. Optimization problems. – Definite integrals. Calculating primitives. – Calculating the area of plane regions.
     
  4. Statistics and probability:
    Bidimensional descriptive statistics. – Linear regression. – Combinatorics. – Study of joint, conditional, total and posterior probability. – Binomial and normal distributions.
      
  5. Linear algebra:
    Matrices. Matrix operations.  – Determinants. Rank of a matrix. – Solving systems of linear equations.