Program Overview

Introduction to the University Program

The Budapest University of Technology and Economics, Faculty of Mathematics, offers various programs for students. The faculty consists of several departments, including Algebra and Geometry, Analysis and Operations Research, and Stochasticity.

Programs Offered

• BSc program in Mathematics
• MSc program in Applied Mathematics
• MSc program in Mathematics
• PhD program in Mathematics

Program Details

BSc Program in Mathematics

The BSc program in Mathematics provides a comprehensive education in mathematical theories and methods. The program covers various topics, including:

• Finite Mathematics and Number Sets
• Sets, set equality, subsets, operations (Sets, Set Equality, Subsets, Operations)
• The Set of Natural Numbers, Divisibility, Prime Numbers (The Set of Natural Numbers, Divisibility, Prime Numbers)
• Exponents, Exponentiation Identities
• Rational and Irrational Numbers, Fundamental Theorem of Arithmetic

MSc Program in Applied Mathematics

The MSc program in Applied Mathematics focuses on the practical applications of mathematical theories and methods. The program covers various topics, including:

• Polynomials, Notable Identities, Solution Formulas, Algebraic and Rational Expressions and Equations (Polynomials, Notable Identities, Solution Formulas, Algebraic and Rational Expressions and Equations)
• Systems of Equations, Inequalities, Completing the Square, nth Root, Logarithm
• Functions, Trigonometry, Sequences (Functions, Trigonometry, Sequences)

MSc Program in Mathematics

The MSc program in Mathematics provides an advanced education in mathematical theories and methods. The program covers various topics, including:

• Domain, Range, Restriction, Inverse Function, Single-Variable Real Functions (Domain, Range, Restriction, Inverse Function, Single-Variable Real Functions)
• Exponent, Linear, Quadratic, Absolute Value, Square Root, Logarithm, Exponential (Exponent, Linear, Quadratic, Absolute Value, Square Root, Logarithm, Exponential)
• Function Characterization, Zero, Increase, Decrease, Extreme Value, Periodicity, Parity (Function Characterization, Zero, Increase, Decrease, Extreme Value, Periodicity, Parity)

PhD Program in Mathematics

The PhD program in Mathematics provides an opportunity for advanced research in mathematical theories and methods. The program covers various topics, including:

• Departmental Research Activities
• Seminars
• BME Differential Equations and Numerical Computing Research Group
• MTA-BME Lendület Quantum Information Theory Research Group (MTA-BME Lendület Quantum Information Theory Research Group)

Research Areas

The faculty conducts research in various areas, including:

• Algebra and Geometry
• Analysis and Operations Research
• Stochasticity
• Fractal Geometry and its Applications
• Human and Social Data Science Lab (HSDSLab)
• Statistical Consulting Group