A PhD, also known as a Doctor of Philosophy degree, is a doctorate awarded by a university to the academic who has met all necessary qualifications and can now be considered a doctor in his or her academic field.
In a college mathematics major, algebra courses will focus on ring theory and algebraic geometry. The geometry most often studied is differential geometry, which focuses on the properties of curves and surfaces. Logic is another subject that is often offered within a mathematics program.
South America is the fourth largest continent. It is divided politically into 12 independent countries. South America is home to the majestic Andes mountain range and the mysterious Amazon River. The world's largest rain forest, with millions of species of exotic animals, is also found in South America.
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