25 Problems for STEM Education

25 Problemsfor 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

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.