Real-World STEM Tutorial & Software
Cód:
491_9781951077303
Teachers are always looking for real-world examples of Science, Technology, Engineering and Mathematics problems. The Real-World STEM textbook covers some key points in solving problems – stressing the solution of real, not textbook, problems. Topics range from simple logic problems to using calculus to model complicated systems.Home Heating Mathematics reviews the math behind thermostats and furnace operations. We discuss the mathematics behind a thermostat and provide equations that allow computation of temperature changes within a home.Satellite Orbit Problems reviews the dynamics behind satellite motion illustrating typical orbits, orbit transfers and rendezvous problems. In this chapter, we look at some of the mathematics and physics behind satellite orbits.Pendulums and Complex Numbers reviews how complex numbers are used in a real problem – pendulum motion. In the study of quadratic equations, students are introduced to the concepts of imaginary and complex numbers.A Look at Real-World Problem Solving reviews the trajectory of a projectile. This problem has a wide variety of real applications: rocket and missile launching, targeting and intercepts, satellite orbit transfers and rendezvous, numerical optimization, polynomial root finding, and solving nonlinear equations. In this chapter, a closed-form expression to the trajectory problem. Another Look at Real-World Problem Solving reviews a numerical approach problem solving. In this chapter, we look again at the projectile problem, but the solution emphasis is on iterative, numerical solutions. Both one-dimensional and two-dimensional solution methods are discussed, as are some of the checks that must be made and the pitfalls that should be avoided when using such methods.Solving Problems Numerically is a discussion of numerical methods for solving “unsolvable” problems. In this chapter, we look at solving two problems numerically. The first problem (one-dimensional) requires the
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