I. Faragó, Á. Havasi, I. Mezei, P. Simon: Introductory Course in Analysis
M. Gémes, Z. Szentmiklóssy: Mathematical Analysis - Exercises I
L. Fehér, G. Kós, Á. Tóth: Mathematical Analysis - Problems and Exercises II
03 Axioms for the real numbers
08 Numerical series, part 2. Exercises - Ratio test and root test
09 Power series
10 Basic topological concepts Quiz questions Solutions
11 Limit and continuity of real functions
12 Properties of continuous functions
14 Applications of differential calculus Exercises - Analysing graphs of functions
15 Taylor polynomial, Taylor series
| 1st week | Logic and sets. Proof by induction. Inequalities. |
| 2nd week | Number sequences, part 1. |
| 3rd week | Number sequences, part 2. |
| 4th week | Number sequences, part 3. |
| 5th week | Numerical series, part 1. |
| 6th week | Numerical series, part 2. Power series. |
| 7th week | Basic topological concepts |
| 8th week | Limit and continuity of real functions |
| 9th week | The derivative |
| 10th week | Applications of differential calculus |
| 11th week | Taylor polynomial, Taylor series |
| 12th week | Indefinite integrals |
| 13th week | Definite integrals |
Test 1 (2023) Test 2 (2023) Repeated midterm 1 Repeated midterm 2
Exam 2, Part 1 (2023) Exam 2, Part 2 (2023)
Exam 1, Part 1 (2023) Exam 1, Part 2 (2023)
Exam 1, Part 1 (2022) Exam 1, Part 2 (2022)
Exam 2, Part 1 (2022) Exam 2, Part 2 (2022)
Exam 3, Part 1 (2022) Exam 3, Part 2 (2022)
Exam 1, Part 1 (2021) Exam 1, Part 2 (2021)
Exam 2, Part 1 (2021) Exam 2, Part 2 (2021)
Exam 1, Part 1 (2018) Exam 1, Part 2 (2018)