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Description: Topics covered in the first two or three semesters of college calculus. Everything from limits to derivatives to integrals to vector calculus. Should understand the topics in the pre-calculus playlist first (the limit videos are in both playlists) Calculus (Latin, calculus, a small stone used for counting) is a branch of mathematics focused on limits, functions, derivatives, integrals, and infinite series. This subject constitutes a major part of modern mathematics education. It has two major branches, differential calculus and integral calculus, which are related by the fundamental theorem of calculus. Calculus is the study of change, in the same way that geometry is the study of shape and algebra is the study of operations and their application to solving equations. A course in calculus is a gateway to other, more advanced courses in mathematics devoted to the study of functions and limits, broadly called mathematical analysis. Calculus has widespread applications in science, economics, and engineering and can solve many problems for which algebra alone is insufficient.
Resources: OpenCourseware from Khan Academy, MIT, UC Berkeley, Stanford along with many of the World's finest University's.
Professors: Joshua Coleman, Default Professor, Michael Williams
Interested in Mentoring? We are looking for mentors/teachers who are amateurs or professionals in every field. Drop me a line at mike @ worldmentoringacademy . com (in subject line "teaching course")