Mathematics Entrance Exam Topics

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Questions and Answers

An applicant holds an I.B. diploma. Under what condition might they be excused from the entrance examination?

  • If they demonstrate exceptional performance in a separate mathematics competition.
  • If they have gained a B.Sc. degree in an unrelated field but have significant work experience.
  • If they have already been admitted to another program within the university.
  • If they earned an arbitrary B.Sc. or B.A. degree from an internationally accredited and registered college or university. (correct)

Which mathematical area listed is most directly applicable to calculating the trajectory of a projectile?

  • Arithmetical and Geometrical Progressions
  • Calculations with vectors, solving problems in coordinate geometry (correct)
  • Fundamentals of Combinatorics
  • Fundamentals of Set Theory

A student is struggling to understand proving identities. Which topic would be most helpful for them to review?

  • Use of equivalent transformations (correct)
  • Solving simple inequalities
  • The method of induction
  • Fundamentals of graph theory

In which area of mathematics would the concept of factorials be most relevant?

<p>Fundamentals of combinatorics (A)</p> Signup and view all the answers

Which of the following topics is LEAST likely to be directly involved in determining the number of possible outcomes in a probability experiment?

<p>Fundamentals of trigonometry (B)</p> Signup and view all the answers

Which of the following topics is primarily used to establish the truth of a statement for all natural numbers?

<p>The method of induction (C)</p> Signup and view all the answers

Solving for the intersection points of two supply and demand curves would require knowledge of which area?

<p>Graphing functions (D)</p> Signup and view all the answers

Which mathematical concept is foundational for understanding amortization schedules?

<p>Arithmetical and geometrical progressions (B)</p> Signup and view all the answers

Why is the knowledge of set theory fundamental to various branches of mathematics?

<p>It offers a framework for describing collections of objects and their relationships. (B)</p> Signup and view all the answers

If a student is having trouble understanding how to determine the domain of a function, which area should they focus on?

<p>Graphing functions (A)</p> Signup and view all the answers

Flashcards

What is set theory?

A branch of mathematics that deals with well-defined collections of objects.

What are equivalent transformations?

Changing an expression into another form that is easier to understand or solve.

What are logarithms?

Logarithms are the inverse operation to exponentiation.

What are first and second-degree equations?

Equations with a variable raised to the power of one or two.

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What are absolute value expressions?

Expressions containing the absolute value of a variable, which represents its distance from zero.

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What are radical equations?

Equations that involve radicals (roots, such as square roots or cube roots) of variables or expressions.

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What are exponential/logarithmic equations?

Equations where variables appear in exponents or logarithms.

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What are simple inequalities?

Statements that compare two expressions using inequality symbols like <, >, ≤, or ≥.

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What are graphing functions?

Visual representation of mathematical functions, showing the relationship between variables.

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What is trigonometry?

A branch of mathematics dealing with the relationships between the sides and angles of triangles.

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Study Notes

Admission Requirements - Mathematics

  • International students can be admitted into Engineering, IT, Business, or Agricultural Programs if they fulfill the mathematics entrance exam requirements.
  • The entrance examination and interview are conducted in English.
  • Applicants with a B.Sc. or B.A. degree in a related field from an internationally accredited and registered college or university, including I. B. diploma holders, may be exempt from the entrance examination.

Topics of the entrance examination

  • Fundamentals of set theory
  • Use of equivalent transformations
  • Concepts and properties of logarithms
  • Solving first and second-degree equations and systems of equations
  • Solving equations with absolute value expressions
  • Solving equations containing radicals
  • Solving exponential and logarithmic equations
  • Solving simple inequalities
  • Graphing functions
  • Solving basic geometry problems
  • Calculating volume and surface area
  • Fundamentals of trigonometry
  • Calculations with vectors and problem-solving in coordinate geometry
  • Arithmetical and geometrical progressions
  • The method of induction
  • Fundamentals of combinatorics
  • Fundamentals of graph theory
  • Fundamentals of number theory
  • A. Bérczes, Á. Pintér: College Algebra
  • A. Bérczes, Á. Pintér: College Analysis
  • Cs. Vincze, L. Kozma: College Geometry
  • G. Horváth, Sz. Tengely: College Discrete Mathematics

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