Because they are easy to generalize to multiple different topics and fields of study, vectors have a very large array of applications. Vectors are regularly used in the fields of engineering, structural analysis, navigation, physics and mathematics. They are also used on a case-by-case basis to model out different problems and scenarios mathematically.Know More
Vectors are mathematical constructs that include a length and a direction. They can exist in any number of dimensions. Because of this, they are used to simply yet effectively convey information about objects or situations. One of the most common uses of vectors is in the description of velocity. By using vectors, physicists describe the movement of a car in motion using a simple line on a geometric plane. This same principle is also applied by navigators to chart the movements of airplanes and ships.
Vectors are also used to plot trajectories. The movements of any thrown object, such as a football, can be mapped with vectors. Using multiple vectors allows for the creation of a model that encompasses external forces like the wind. By utilizing vector addition on these different forces, mathematicians create an accurate estimate of the path of motion and distance traveled by the object.Learn more about Calculus
Newton was one of two people credited with the creation of calculus, but even though he developed his ideas first, he did not get them printed first. A German mathematician, by the name of Leibniz, released his findings almost 9 years before Newton did. Both men approached the concept of calculus differently and held different views, so often both men are credited with its creation.Full Answer >
Find the equation for the tangent line to a curve by finding the derivative of the equation for the curve, then using that equation to find the slope of the tangent line at a given point. Finding the equation for the tangent line requires a knowledge of calculus and the formula for the slope.Full Answer >
Long division doesn't appear in most third grade math curriculum or Common Core Math Standards. Third grade math covers basic division with dividends up to 100.Full Answer >
One calculus project idea is figuring out the center of mass of an irregular piece of Plexiglas. Students choose a piece of Plexiglas and use coordinate paper to determine its boundaries. They use that information to determine the centroid of the region, proving it by balancing the Plexiglas on a pencil stuck in sand. Students turn in drawings and examples of the work they used to arrive at the answer.Full Answer >