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.
Continue ReadingVectors 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 CalculusPrecalculus with limits is a high school math course that covers topics in algebra, geometry and trigonometry and prepares students to study calculus. Students often take this course as juniors or seniors in high school.
Full Answer >The most direct way to get expert-level help on math topics is to ask an expert - a professor, researcher, or strong student. Asking experts individually is not very efficient, so asking an expert-level question on a dedicated website, such as Math.StackExchange.com, usually yields quicker results.
Full Answer >Dr. Paul Dawkins, math professor at Lamar University, outlines the topics covered in the calculus 2 course, which build on the knowledge of previous calculus topics such as limits, basic integration, derivatives and integration by substitution. The UC Davis Department of Mathematics webpage on calculus has a list of different types of calculus problems and their solutions. Some problems tackled are on the limits of functions.
Full Answer >Dr. Gregory McColm of University of South Florida advises that beginning calculus students have a strong mathematical background and study for about 10 to 15 hours outside class. He also advises calculus students to take the examples given in class seriously and always read ahead of the lecturer before classes. Students must never miss classes unless they are seriously ill, advises Dr. Mike Sullivan of Southern Illinois University Carbondale.
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