Introductory mathematical course

Limit of functions

10h 15min

Explain a concept of a limit and determine standard limits of functions (100%)
Analyze an elementary function using derivatives and sketch its graph (10%)
Define elementary functions of a real variable, analyze their properties and sketch their graphs. (10%)
Limit of function
Hankinta
1 Motivational example
Students receive a pre-prepared video with motivational example for limit of function and intuitive definition.
60 min
Hankinta
2 Lecture
Professor checks how many students watched the video lesson. Professor explains basic concepts and designs lecture to upgrade and broad the topic (Heine's and Cauchy's definition of function limit, main properties and theorems with proofs, continuity of function). Students have possibility for additional questions.
3h 0min
Arviointi
3 Quiz (limit of function)
Students take a short quiz which cover the basic notions from lecture.
15 min
1
Käytännön harjoitteet
4 Practice
Assistants work with students. During the exercises, students do standard tasks related to the topic. In a group, they solve slightly more complex tasks.
2h 0min
Käytännön harjoitteet
5 Independent practical work
Students work independently using the material in LMS Moodle and textbook.
3h 0min
Arviointi
6 Quiz (limit of function-math problems)
Students take a short quiz which cover the basic math problems.
60 min
2

 

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