STEM Online Quiz: Test Your Knowledge in STEM

Study Notes

STEM Education

STEM is an umbrella term that groups together science, technology, engineering, and mathematics disciplines.
The term is used in the context of education policy or curriculum choices in schools.
STEM education has implications for workforce development, national security concerns, and immigration policy.

Disciplines Included in STEM

There is no universal agreement on which disciplines are included in STEM.
In the United States, social sciences like psychology, sociology, economics, and political science are typically included by organizations such as the National Science Foundation (NSF).
In the United Kingdom, the inclusion of social sciences in STEM is not consistent.

Harmonic Series

The harmonic series is an infinite series formed by summing all positive unit fractions.
The first n terms of the series sum to approximately ln n + γ, where ln is the natural logarithm and γ ≈ 0.577 is the Euler–Mascheroni constant.
The harmonic series is a divergent series, proven by Nicole Oresme in the 14th century using the Cauchy condensation test.
The divergence of the harmonic series can also be proven by comparing the sum to an integral, according to the integral test for convergence.

Applications of the Harmonic Series

The harmonic series has applications in Euler's proof that there are infinitely many prime numbers.
It is also used in the analysis of the coupon collector's problem, which determines how many random trials are needed to provide a complete range of r.

Description

Test your knowledge of STEM (science, technology, engineering, and mathematics) with this quiz! Explore various topics within these disciplines and see how well you understand the concepts that drive innovation and technological advancements. Challenge yourself and discover the importance of STEM education in today's world.