Apply differential calculus to find local extrema of a function with one variable and inflection points of the function.
(60%)
Analyze an elementary function using derivatives and sketch its graph
(50%)
Analyze and solve a problem task in the area of mathematical analysis of the function of one variables
(10%)
Finding local extrema
Flipped classroom approach
Hankinta
1Video-lecture - function extrema
Student listen video lecture about finding the absolute (or global) minimum and maximum values of a function.
30 min
Arviointi
2Quiz
Students take a short quiz based on finding extrema of function.
20 min
1
Käytännön harjoitteet
3Practice
Assistants work with students on finding function increasing or decrease intervals by use of local extrema.
1h 30min
Käytännön harjoitteet
4Independent practical work-finding extrema
Students practice finding increasing or decreasing intervals based on material in LMS and texbooks.
1h 30min
Tutkiminen
5Self-assessment
Students take self-assessment based on the assessment tasks in LMS (database). Based on the results they are instructed to further investigate.
1h 30min
0
Curvature‐ Concavity and convexity
Flipped classroom approach
Hankinta
1Video-lecture- Concavity and convexity
Student watch video lecture that explains points of inflection, and concavity and convexity of a function.
25 min
Käytännön harjoitteet
2Independent practical work -concavity and convexity
Students practice finding point of inflection based on material in LMS and texbooks.
1h 30min
Arviointi
3Quiz
Students take a short quiz about function concavity and convexity.
20 min
2
Käytännön harjoitteet
4Practice
Assistants work with students on describing the shape or curvature of a curve.
1h 30min
Tutkiminen
5Self-assessment
Students take self-assessment based on the assessment tasks in LMS (database). Based on the results they are instructed to further investigate.
1h 30min
0
Plotting graph
Flipped classroom approach
Hankinta
1Reading- graph plotting
Students read material about applying derivatives on plotting graph functions.
60 min
0
Käytännön harjoitteet
2Independent practical work - graph plotting
Students practice graph plotting based on material in LMS and texbooks.
1h 30min
Käytännön harjoitteet
3Practice
Assistants work with students on plotting graphs.
1h 30min
Arviointi
4Self-assessment
Students in small group take self-assessment based on the assessment tasks in LMS (database).
