Mark Ryan

Use this cheat sheet as a reference for the most important formulas, rules, equations, and so on that you need for calculus. The main calculus topics are covered (limits, differentiation, integration, and infinite series), as are the critical pre-calculus topics (algebra, geometry, and trigonometry).Some Essential AlgebraAlgebra is the language of calculus.

The volume of an object is how much space the object takes up — or, if you were to drop the object into a full tub of water, how much water would overflow.To calculate the volume of a cylinder, you need to know its height and the area of its base. Because a cylinder is a flat-top figure (a solid with two congruent, parallel bases), the base can be either the top or bottom.

Using geometry symbols will save time and space when writing proofs, properties, and figuring formulas. The most commonly used geometry symbols and their meanings are shown below.

Triangles are classified according to the length of their sides or the measure of their angles. These classifications come in threes, just like the sides and angles themselves.The following are triangle classifications based on sides: Scalene triangle: A triangle with no congruent sides Isosceles triangle: A triangle with at least two congruent sides Equilateral triangle: A triangle with three congruent sides (For the three types of triangles based on the measure of their angles, see the article, “Identifying Triangles by Their Angles.

To effectively work through calculus problems, you have to understand a number of topics: the process of evaluating limits, methods of solving various differentiation and integration problems, and the tests for convergence or divergence of infinite series.Evaluating limits in calculusThe mathematics of limits underlies all of calculus.

Successfully understanding and studying geometry involves using strategies for your geometry proofs, knowing important equations, and being able to identify commonly used geometry symbols.Geometry formulas, theorems, properties, and moreWhat follows are over three dozen of the most important geometry formulas, theorems, properties, and so on that you use for calculations.

On a map, you trace your route and come to a fork in the road. Two diverging roads split from a common point and form an angle. The point at which the roads diverge is the vertex. An angle separates the area around it, known in geometry as a plane, into two regions. The points inside the angle lie in the interior region of the angle, and the points outside the angle lie in the exterior region of the angle.