2023-2024/2. Calculus 2 (BMETE92AM37)

Information

Requirements

Midterm tests

1st midterm test: 8th week, on April 10 (Wednesday) between 12-14 in class

Books

We will mostly follow the book Miklós Laczkovich, Vera T. Sós: Real Analysis II. (Series, Functions of Several Variables and Applications), 2017, Springer. It can be downloaded from BME domains at this link.

Lecture materials

1st week Improper integrals

Topics

Practice exercises

1st week Improper integrals

2nd week Basic topological concepts

3rd week Limit and continuity

4th week Partial derivatives

5th week Higher oder derivatives, Taylor polynomial

6th week Local and global extremum

Supplementary materials

2nd week Some two-variable functions

4th week Some two-variable functions and their graphs

In Hungarian

Calculus 2 lecture notes Chapter 3: Mutivariable functions (pg. 164-261)

Calculus 2 practice exercises Chapter 3: Mutivariable functions (pg. 86-134)

Tests

Sample test 1 (2023) (see exercises 1., 7., 8.)

Test 1 (2023) (see exercises 1., 6., 7.)

Sample test 2 (2023) (see exercises 1., 2., 8.)

Test 2 (2023) (see exercises 1., 2., 7.)