Mathematics Applied to Physics and Engineering

How are mathematics connected and applied to physics, engineering problem solving and computer technology? Below are links to some of these problems and topics.

Mathematics Applied to Physics and Engineering

• Engineering Mathematics
• Applications and Use of the Inverse Functions. Examples on how to apply 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.
• Projectiles in Physics. Equations and problems with solutions.
• Parametric Equations of a Cycloid. Develop the parametric equations of the curve traced by a fixed point on the circumference of a wheel as the wheel 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.
• How Parabolic Antennas work?. It is shown, mathematically, how parabolic antennas work.
• 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.
• Vectors in Physics.
• Linear Programming.

Mathematics in Computer Technology

• What is Boolean Algebra. An introduction to Boolean algebra is presented.
• Introduction to Binary Numbers. An introduction to discuss the advantages of using binary numbers in computers.
• Convert Binary to Decimal and Decimal to Binary Numbers. A tutorial on how to convert decimal to binary and binary to decimal numbers with full explanations, exercises and answers.
• Addition of Binary Numbers. A tutorial on how to add binary numbers, along with examples, exercises and answers is presented.
• Multiplication of Binary Numbers. A tutorial on how to multiply binary numbers, along with examples, exercises and answers is presented.
• Math Problems with Solutions