Michael Zelina - teaching

Details about the course are on the webpage of the lecturer. See the plan of the semester.

We meet on Thursdays at 9:30 ("breakfast" is from 9:20) in classroom O206. For Zoom use the same link as for the lecture (see Moodle).

If you have any questions, remarks or doubts, feel free to contact me on zelina@karlin.mff.cuni.cz.

Consultations

You can also send me an e-mail; short questions we can handle by mail, and longer personally after arranging a time and place for a meeting.

Activities

There will be 7 homeworks (worth 30 pts + up to 10 bonus pts) during the semester. They can be found in Moodle.

We will write a 60-minute-long midterm (worth 15 pts) at the end of November.

Program

5. 10. - Mathematical logic & induction. Example sheet I and Example sheet II. See logic, Knights and Knaves.

12. 10. - Supremum & infimum. Trigonometry. Here is the annotation and Example sheet III. See harder induction examples, inverses here and there.

19. 10. - Matriculation.

26. 10. - Limit of a sequence. Annotation and Example sheet IV.

2. 11. - Limit of a sequence. Annotation. See lessons 3-6 from here. HW1 & Solution.

9. 11. - Mappings. Concept of a limit. Annotation. See the 8th lesson here.

16. 11. - Limit of a function. Annotation. Example sheet V. See also lessons 9-13 from here.

23. 11. - Limit of a function & Midterm. Annotation and midterm solution.

30. 11. - Limit of a function. Annotation and solution of three examples from the last week. Graphs of well-known limits are here and there. HW4 & Solution.

7. 12. - Limit of a function. Derivatives. Annotation. Example sheet VI. See also lesson 15 from here.

14. 12. - Derivatives. Annotation. See also lessons 16-18 from here. Derivatives in economics. HW6 & Solution.

21. 12. - Investigation of a function. Annotation. Manual. HW7 & Solution and GeoGebra graphs.

4. 1. - Bonuse tutorial. Annotation. Questions. Written exam problems.

Examples, Exercises and Links

WS20/21.

WS21/22.

My previous tutorials (in czech).

Exams

Check the popular mistakes.

Check the sample exam.

This year's written exams are here.