#### High School Math

Field theory is a branch of mathematics that deals with fields, which are collections of objects that can be represented by fields. Fields can be represented by Lie groups, and Lie groups can be represented by algebraic structures. A field is a collection of objects that can be represented by a

We calculate the integral of exp(-x^2) over the real line. This calculation involves a double integral, from which values are calculated using polar coordinates. Added: a numerical estimate, and an added tighter proof with the Squeeze Theorem.

The antiderivative of tan^2(x) is computed.

Let {x_n} be a sequence of real numbers such that |x_n| is less than (3n^2-2)/(4n^3 + n^2 + 3). Then {x_n} is a Cauchy sequence.

#### Linear motion is when a body moves straight through the air. It's the basic type of motion you see i

A toy rocket is launched from a 10 ft high platform with an initial velocity of 96 ft/sec. If the height is given by the function h(t) = - 16t^2 +96t +10 ft, find the maximum height attained. We complete the square to find

#### The Lagrange Multiplier is a mathematical function that calculates the efficiency of a system with t

A rectangular box has one corner at the origin and another on the plane x + y + 2z = 1. Use Lagrange multipliers to find the dimensions that maximize volume.

The surface of a right-angle triangle is the sum of the squares of the lengths of the two shorter sides. The surface is also the product of the lengths of the two shorter sides, multiplied by the length of the hypotenuse.

We revisited the Binet formula for the Fibonacci numbers as an application of generating functions. This derivation requires no linear algebra, only power series methods.

#### There are a variety of baggies available that have different shapes, sizes, and colors. Toric variet

Not quite a typo at 4:45: for the V function, we have V(I n J)=V(I) u V(J). The vanishing points are unchanged if we replace V(I n J) with V(IJ), but if you get into the scheme game

This video tutorial will show you how to revise GCSE Maths in a step by step manner. You will learn how to use the resources provided and improve your skills.

This video tutorial covers the basics of GCSE Maths revision. You will learn how to revise maths using the resources available here.

For the full list of videos and more revision resources visit https://www.mathsgenie.co.uk/