2025-2026/1. Calculus 1 (BMETE90AX21)

Information

Requirements

Topics

Course materials

01 Complex numbers

02 Axioms of the real numbers

03 Number sequences, part 1

04 Number sequences, part 2

05 Number sequences, part 3

06 Limits of real functions

07 Properties of continuous functions

08 The derivative Exercises: Differentiation

09 Applications of differential calculus Exercises: Analysing graphs of functions Additional applications


10 Indefinite integrals

11 Definite integrals

Practice exercises

01 Complex numbers   Trigonometric functions

02 Number sequences, part 1

03 Number sequences, part 2

04 Number sequences, part 3

05 Limits of real functions

06 Types of discontinuities, the limit sinx/x

07 The derivative

08 Elementary functions and their inverses. L'Hospital's rule

09 Analysing graphs of functions

10 Global extremum, optimization problems

11 Indefinite integral Additional exercises

12 Partial fraction decomposition, integration by substitution, improper integals (not final)

Midterm tests

Practice exercises for the 1st midterm test

1st midterm test

Practice exercises for the 2nd midterm test

2nd midterm test

In Hungarian

Practice exercises