2⁵ Problems for STEM Education

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

1. Formulas for calculations Or Chekhov's gun. 2. Swan, Crayfish and Pike Or Scalar and vector in computer calculations. 3. The Gold Bug Or Roman-Arab cryptography. 4. Solvers Or The Mathcad magnificent seven. 5. Guess the Image Or The Matrix Game. 6. How much Or The old problem in a new way. 7. Catenary Or The Fifth Element. 8. Live kinematic schemes Or Arm of Hella. 9. Celestial Mechanics Or Kepler's watch. 10. Recursion Or A knight's tour. 11. Yes-No in Mathcad Or Boole’s origami. 12. Fuzzy sets Or Optimal Fire Bucket. 13. The journey of a circle in a triangle, and of a triangle in a hollow Or a self-directed computer director. 14. Interpolation, extrapolation and fitting Or Lies, damned lies and statistics. 15. Go there, knowing where to go Or New Swiss watches. 16. Heads or tails Or A Three-way duel in Monte Carlo. 17. Geese are flying Or The Problem of fishermen and fish. 18. Alphabetical puzzle Or Help yourself so that the computer helps you!. 19. Seven computational curves Or Apollonius bicycle and Apollo guitar. 20. Journey from home to school on the Fermat route Or The second optical property of hyperbola. 21. Optimization of potential energy Or Curves of the second order in statistics. 22. Parallel computing Or Put yourself in order!. 23. How to calculate a ship Or How you name a boat, is how it will sail. 24. How to calculate a Rocket Or … "and on Mars will blossom apple trees". 25. Hybrid calculations on the computer Or One more about a cone. 26. Funicular Polygon in Static, Kinematics and Dynamics Or Isaac Newton vs Joseph Louis Lagrange. 27. BHL or Application for the Ig Nobel Prize. 28. Tomography = IT + Mathematics + Physics + Biology Or Worker-peasant graphics. 29. A New Ellipse Or Math Porcelain Service. 30. What lies behind a simplified formula Or Hybrid calculation of the Otto cycle. 31. Mad Chain Or Physical and Mathematical Informatics. 32. STEM-education Or Science Fiction.

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.