Three example problems involving perimeter and area

This is a first year, high-school level course on Geometry (which is based on Euclid's elements). It revisits many of the basic geometrical concepts studied in earlier courses, but addresses them with more mathematical rigor. There is strong focus on prov

Perimeter of rectangle covered by 9 non-overlapping squares. From 200) American Invitational Math Exam

This is a first year, high-school level course on Geometry (which is based on Euclid's elements). It revisits many of the basic geometrical concepts studied in earlier courses, but addresses them with more mathematical rigor. There is strong focus on prov

A conservation of energy problem where all of the energy is not conserved.

Work and energy. Potential energy. Kinetic energy. Mechanical advantage. Springs and Hooke's law.

More on work. Introduction to Kinetic and Potential Energies.

Work and energy. Potential energy. Kinetic energy. Mechanical advantage. Springs and Hooke's law.

Introduction to work and energy

Work and energy. Potential energy. Kinetic energy. Mechanical advantage. Springs and Hooke's law.

Using the law of conservation of energy to see how potential energy is converted into kinetic energy

Work and energy. Potential energy. Kinetic energy. Mechanical advantage. Springs and Hooke's law.

Why duopolists would benefit to form a cartel and why it makes sense for them to cheat

You know what Nash equilibrium is (from the other tutorial). Now we apply it to a scenario that is fairly realistic--parties to a cartel cheating. A cartel is a group of actors that agree (sometimes illegally) to coordinate their production/pricing to max

Pareto Optimality and more on Nash Equilibrium. Seeing how cheating duopolists parallels the prisoners dilemma

You know what Nash equilibrium is (from the other tutorial). Now we apply it to a scenario that is fairly realistic--parties to a cartel cheating. A cartel is a group of actors that agree (sometimes illegally) to coordinate their production/pricing to max

Thinking about what moves oil prices

The core ideas in microeconomics. Supply, demand and equilibrium.

Where the dollars at the pump go

The core ideas in microeconomics. Supply, demand and equilibrium.

When the source and the wave move at the same velocity

Projectile motion, mechanics and electricity and magnetism. Solid understanding of algebra and a basic understanding of trigonometry necessary.

Virtual Image

Projectile motion, mechanics and electricity and magnetism. Solid understanding of algebra and a basic understanding of trigonometry necessary.

Critical incident angle and total internal reflection

Projectile motion, mechanics and electricity and magnetism. Solid understanding of algebra and a basic understanding of trigonometry necessary.

Specular and Diffuse Reflection 2

Projectile motion, mechanics and electricity and magnetism. Solid understanding of algebra and a basic understanding of trigonometry necessary.

Specular and Diffuse Reflection

Projectile motion, mechanics and electricity and magnetism. Solid understanding of algebra and a basic understanding of trigonometry necessary.

Snell's Law Example 2

Projectile motion, mechanics and electricity and magnetism. Solid understanding of algebra and a basic understanding of trigonometry necessary.

Snell's Law Example 1

Projectile motion, mechanics and electricity and magnetism. Solid understanding of algebra and a basic understanding of trigonometry necessary.

Refraction in Water

Projectile motion, mechanics and electricity and magnetism. Solid understanding of algebra and a basic understanding of trigonometry necessary.

Refraction and Snell's Law

Projectile motion, mechanics and electricity and magnetism. Solid understanding of algebra and a basic understanding of trigonometry necessary.

Parabolic Mirrors and Real Images

Projectile motion, mechanics and electricity and magnetism. Solid understanding of algebra and a basic understanding of trigonometry necessary.