25 Problems for STEM Education introduces a new and emerging course for undergraduate STEM programs called Physical-Mathematical Informatics. This course corresponds with the new direction in education called STE(A)M (Science, Technology, Engineering, [Art] and Mathematics). The book focuses on undergraduate university students (and high school students), as well as the teachers of mathematics, physics, chemistry and other disciplines such as the humanities. This book is suitable for readers who have a basic understanding of mathematics and math software.
Features
- Contains 32 interesting problems (studies) and new and unique methods of solving these physical and mathematical problems using a computer as well as new methods of teaching mathematics and physics
- Suitable for students in advanced high school courses and undergraduates, as well as for students studying Mathematical Education at the Master’s or PhD level
- One of the only books that attempts to bring together ST(E)AM techniques, computational mathematics and informatics in a single, unified format
Introduction
Study 1. Formulas for calculations Or Chekhov's gun
Study 2. Swan, Crayfish and Pike Or Scalar and vector in computer calculations
Study 3. The Gold Bug Or Roman-Arab cryptography
Study 4. Solvers Or The Mathcad magnificent seven
Study 5. Guess the Image Or The Matrix Game
Study 6. How much Or The old problem in a new way
Study 7. Catenary Or The Fifth Element
Study 8. Live kinematic schemes Or Arm of Hella
Study 9. Celestial Mechanics Or Kepler's watch
Study 10. Recursion Or A knight's tour
Study 11. Yes-No in Mathcad Or Boole’s origami
Study 12. Fuzzy sets Or Optimal Fire Bucket
Study 13. The journey of a circle in a triangle, and of a triangle in a hollow Or a self-directed computer director
Study 14. Interpolation, extrapolation and fitting Or Lies, damned lies and statistics
Study 15. Go there, knowing where to go Or New Swiss watches
Study 16. Heads or tails Or A Three-way duel in Monte Carlo
Study 17. Geese are flying Or The Problem of fishermen and fish
Study 18. Alphabetical puzzle Or Help yourself so that the computer helps you!
Study 19. Seven computational curves Or Apollonius bicycle and Apollo guitar.
Study 20. Journey from home to school on the Fermat route Or The second optical property of hyperbola.
Study 21. Optimization of potential energy Or Curves of the second order in statistics
Study 22. Parallel computing Or Put yourself in order!
Study 23. How to calculate a ship Or How you name a boat, is how it will sail
Study 24. How to calculate a Rocket Or … "and on Mars will blossom apple trees"
Study 25. Hybrid calculations on the computer Or One more about a cone
Study 26. Funicular Polygon in Static, Kinematics and Dynamics Or Isaac Newton vs Joseph Louis Lagrange
Study 27. BHL or Application for the Ig Nobel Prize
Study 28. Tomography = IT + Mathematics + Physics + Biology Or Worker-peasant graphics
Study 29. A New Ellipse Or Math Porcelain Service
Study 30. What lies behind a simplified formula Or Hybrid calculation of the Otto cycle
Study 31. Mad Chain Or Physical and Mathematical Informatics
Study 32. STEM-education Or Science Fiction
Biography
Valery Ochkov is Professor at Moscow Power Engineering Institute (Technical University – MPEI – www.mpei.ru) in the Department of Theoretical Basics of Thermal Engineering (TOT), founder and general manager of Trieru (www.trie.ru), an engineering consulting firm that develops simulators and analytical software for the power industry. He also works at Joint Institute for High Temperatures (www.jiht.ru) of the Russian Academy of Sciences and at Moscow High School at MPEI. He is a member of the working group on thermodynamics of the International Association for the Properties of Water and Steam (IAPWS) and PTC Mathcad Community (https://community.ptc.com).
He has authored more than 25 books in Russian and English and numerous journal articles on the use of math software for solving the problems in thermodynamics, heat and mass transfer and fluid dynamics. Professor Ochkov is one of the creators of WaterSteamPro™, an application for simulating thermophysical properties of water and steam and also a co-creator of web-calculations for the Elsevier/Knovel website.
". . . the book can serve as a nice manual on the Mathcad software, and it can be very useful to teachers and lecturers looking for new examples to enrich their presentations, which is especially important nowadays with necessity to employ the remote teaching and distance learning."
– Technometrics, Volume 62, 2020 - Issue 4"Ochkov (Moscow Power Engineering Institute) packs a lot of information into a single book. The author's purpose is to present 32 "content rich" problems—or studies, as he refers to them—for students to solve. Each study includes areas of mathematics, physics, IT, art, and even creating a website. The narrative part of each study reads well, though a few may be overly long. The main software to be used is Mathcad, with copious examples provided in each study. Some studies are relatively short and fairly accessible, appropriate for use with lower-division (or even advanced high school) students, while others are definitely more advanced and complex. The primary reason to use this book is that it offers a range of problems, providing options that can be tailored to work for a particular class or group situation. This reader applauds the approach of presenting science as a system of interconnected information shared across many disciplines. True, this is not the current approach adopted in many traditional curricula. Yet, instructors could use this book as source material to create tailored, content-rich assignments. This reader can also envision assigning some of the problems to be undertaken in a group setting followed by presentations to the class."
– Choice Review, D. B. Mason, Albright College
