2022-2023/1. Calculus 1 (BMETE92AM36)

Information

Requirements

Syllabus

Topics for the exam

Midterm tests

1st midterm test: 8th week, on October 27 (Thursday) in class

2nd midterm test: 13th week, on December 1 (Thursday) in class

Lecture materials

1st week: 1st lecture: Logic and sets. 2nd lecture: Proofs and inequalities.

2nd week: 3rd lecture: Axioms for the real numbers. Complex numbers.

3rd week: 4th and 5th lecture: Number sequences, part 1.

4th week: 6th and 7th lecture: Number sequences, part 2.

5th week: 8th and 9th lecture: Number sequences, part 3. Numerical series, part 1.

6th week: 10th and 11th lecture: Numerical series, part 2.

7th week: 12th and 13th lecture: Basic topological concepts

8th week: 14th lecture: Limits of real functions, continuity

9th week: 15th and 16th lecture: Properties of continuous functions

10th week: 17th and 18th lecture: Differentiation, part 1.

11th week: 19th and 20th lecture: Differentiation, part 2.

12th week: 21st lecture: Indefinite integrals

13-14th week: 22nd and 23rd lecture: Definite integrals

Practice exercises

1st week 2nd week 3rd week 4th week 5th week 6th week 7th week
8th week 9th week 10th week 11th week 12th week 13th week

Derivatives of elementary functions

Additional exercises

Root test, ratio test

Power series

Differentiation

Analyzing graphs of functions

Indefinite integrals

Homework

1st homework

2nd homework

3rd homework

4th homework

Tests and Exams

Sample midterm test 1 (2021)

Sample midterm test 2 (2021)

Sample Final Exam Part 1 (2018)

Sample Final Exam Part 2 (2018)

Books

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