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College algebra is offered at many community colleges as remedial courses for students who did not pass courses before Calculus. [69] It should not be confused with abstract algebra and linear algebra, taken by students who major in mathematics and allied fields (such as computer science) in four-year colleges and universities.
For example, in mathematics, "or" means "one, the other or both", while, in common language, it is either ambiguous or means "one or the other but not both" (in mathematics, the latter is called "exclusive or"). Finally, many mathematical terms are common words that are used with a completely different meaning. [100]
Different levels of mathematics are taught at different ages and in somewhat different sequences in different countries. Sometimes a class may be taught at an earlier age than typical as a special or honors class. Elementary mathematics in most countries is taught similarly, though there are differences.
German mathematician Carl Friedrich Gauss said, "Mathematics is the queen of the sciences—and number theory is the queen of mathematics." Number theory also studies the natural, or whole, numbers. One of the central concepts in number theory is that of the prime number , and there are many questions about primes that appear simple but whose ...
An academic discipline or academic field is a subdivision of knowledge that is taught and researched at the college or university level. Disciplines are defined (in part) and recognized by the academic journals in which research is published, and the learned societies and academic departments or faculties within colleges and universities to which their practitioners belong.
The calculus was the first achievement of modern mathematics and it is difficult to overestimate its importance. I think it defines more unequivocally than anything else the inception of modern mathematics, and the system of mathematical analysis, which is its logical development, still constitutes the greatest technical advance in exact thinking.
In the early 1990s the acronym STEM was used by a variety of educators. Charles E. Vela was the founder and director of the Center for the Advancement of Hispanics in Science and Engineering Education (CAHSEE) [6] [7] [8] and started a summer program for talented under-represented students in the Washington, D.C. area called the STEM Institute.
A coordinate major is an ancillary major designed to complement the primary one. A coordinate major requires fewer course credits to complete. Many colleges also allow students to declare a minor field, a secondary discipline in which they also take a substantial number of classes, but not so many as would be necessary to complete a major.