Mathematics Applied to Physics and Engineering

How are mathematics connected and applied to Physics and Engineering problem solving? Below are links to some of these problems.

• Applications and Use of the Inverse Functions. Examples on how to aplly and use inverse functions in real life situations and solve problems in mathematics.



• Maximize Volume of a Box. How to maximize the volume of a box using the first derivative of the volume.



• Problem Solving: Distance, Rate, Time. This applet helps you better understand the link between the visual and graphical approaches to the time, rate, distance problem and its algebraic solution.



• Use First Derivative to Minimize Area of Pyramid. The first derivative is used to minimize the surface area of a pyramid with a square base. A detailed solution to the problem is presented.



• Use Derivatives to solve problems: Distance-time Optimization. A problem to minimize (optimization) the time taken to walk from one point to another is presented.



• Use Derivatives to solve problems: Area Optimization. A problem to maximize (optimization) the area of a rectangle with a constant perimeter is presented.



• Maximize Power Delivered to Circuits. The first derivative is used to maximize the power delivered to a load in electronic circuits.



• Projectile problem. Explore the projectile problem using an applet and find algebraic solutions to problems with the help of the same applet.



• Cycloid, Rotation. This applet helps you explore the cycloid which is the curve traced by a fixed point on the circumference of a circle as the circle rolls along a line in a plane.



• Amplitude Modulation. This is simple example where mathematics is used in communication systems.



• Standing Waves. An applet to explore standing waves.



• Mathematics applied to antennas. Free tutorials on antennas to better understand the properties such as radiation patterns, propagation and polarization of these systems.



• Matrices Applied to Electric Circuits. A tutorial on how to apply matrices to model electric circuits.



• applications of Differential Equations. Several examples where differential equations are used to model real life situations.
  
  

More topics to explore and Problems: