ABSTRACT

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

chapter

Introduction

chapter Study 1|8 pages

Formulas for CalculationsOr

Chekhov’s Gun

chapter Study 2|8 pages

Swan, Crayfish and PikeOr

Scalar and Vector in Computer Calculations

chapter Study 3|8 pages

The Gold-BugOr

Roman-Arab Cryptography

chapter Study 4|12 pages

SolversOr

The Mathcad Magnificent Seven

chapter Study 5|6 pages

Guess the ImageOr

The Matrix Game

chapter Study 6|10 pages

How MuchOr

The Old Problem in a New Way

chapter Study 7|28 pages

CatenaryOr

The Fifth Element

chapter Study 8|18 pages

Live Kinematic SchemesOr

Arm of Hella*

chapter Study 9|22 pages

Celestial MechanicsOr

Kepler’s Watch

chapter Study 10|6 pages

RecursionOr

A Knight’s Tour

chapter Study 11|12 pages

Yes–No in MathcadOr

Boole’s Origami

chapter Study 12|12 pages

Fuzzy SetsOr

Optimal Fire Bucket

chapter Study 13|10 pages

The Journey of a Circle in a Triangle, and of a Triangle in a HollowOr

A Self-Directed Computer Director

chapter Study 14|18 pages

Interpolation, Extrapolation and FittingOr

Lies, Damned Lies and Statistics*

chapter Study 15|14 pages

Go There, Knowing Where to GoOr

New Swiss Watches

chapter Study 16|8 pages

Heads or TailsOr

A Three-Way Duel in Monte Carlo

chapter Study 17|4 pages

Geese Are FlyingOr

The Problem of Fishermen and Fish

chapter Study 18|4 pages

Alphabetical PuzzleOr

Help Yourself So That the Computer Helps You!

chapter Study 19|16 pages

Seven Computational CurvesOr

Apollonius Bicycle and Apollo Guitar

chapter Study 20|12 pages

Journey from Home to School on the Fermat RouteOr

The Second Optical Property of Hyperbola

chapter Study 21|8 pages

Optimization of Potential EnergyOr

Curves of the Second-Order in Statistics

chapter Study 22|6 pages

Parallel ComputingOr

Put Yourself in Order!

chapter Study 23|8 pages

How to Calculate a ShipOr

How You Name a Boat Is How it Will Sail

chapter Study 24|6 pages

How to Calculate a RocketOr

“… and on Mars Will Blossom Apple Trees”

chapter Study 25|8 pages

Hybrid Calculations on the ComputerOr

One More about a Cone

chapter Study 26|26 pages

Funicular Polygons in Statics, Kinematics and DynamicsOr

Isaac Newton versus Joseph Louis Lagrange

chapter Study 27|10 pages

BHLOr

Application for the Ig Nobel Prize*

chapter Study 28|8 pages

Tomography = IT + Mathematics + Physics + BiologyOr

Worker-Peasant Graphics

chapter Study 29|6 pages

A New EllipseOr

Math Porcelain Service

chapter Study 30|8 pages

What Lies behind a Simplified FormulaOr

Hybrid Calculation of the Otto Cycle

chapter Study 31|24 pages

Mad ChainOr

Physical and Mathematical Informatics

chapter Study 32|18 pages

STEM Education And Or

Science Fiction