Using the daily and individual energy consumption and generation graphs of your school's PV system or a reference system, the benefits of the integral will be extended to a realistic and pragmatic example.
Our educational concept and its implementation in software
Physics and engineering thrive on integration. Integration is a fundamental tool of calculus that assigns "volume" to sets, probability spaces, and functions. Furthermore, integral calculus is fundamentally linked to the "change" of continuous functions.
In a first degree program in a STEM subject, the volume of a solid of revolution can be easily found through integration (and selection of a suitable coordinate system) – this is a practical example.
Benefits of integration.
Integration is not limited to geometric figures, of course. It also has a realistic and practical interpretation in units of space. Photovoltaic systems, due to their diverse applications, are an indispensable element of a successful energy transition. Most PV systems have internal data loggers that record the energy generated.
Sample the system's output at certain intervals. We will use these samples for this lesson.
Subject: Mathematics
Year group: 11th-12th grade
Duration: 2 x 90 minutes
We always strive to thoroughly check our lessons for potential errors before publication. However, should you, dear user, notice anything, we would appreciate a message to fehlerteufel@solarbildung.org
Mathematics on PV systems - integral calculus
Definite integral, integral function and fundamental theorem of differential and integral calculus (“HDI”).
The definite integral as an area balance function
Calculation of area (integration, elementary geometry)
Interpretation of areas in context

