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[24] [25] He did not stay at Harvard long enough to choose a concentration, but took mathematics (including Math 55) and graduate level computer science courses. [26] While at Harvard, he met fellow student and future Microsoft CEO Steve Ballmer. Gates left Harvard after two years while Ballmer stayed and graduated magna cum laude. Years later ...
A massive open online course ( MOOC / muːk /) or an open online course is an online course aimed at unlimited participation and open access via the Web. [ 1] In addition to traditional course materials, such as filmed lectures, readings, and problem sets, many MOOCs provide interactive courses with user forums or social media discussions to ...
Geometry (from Ancient Greek γεωμετρία (geōmetría) 'land measurement'; from γῆ (gê) 'earth, land' and μέτρον (métron) 'a measure') [ 1] is a branch of mathematics concerned with properties of space such as the distance, shape, size, and relative position of figures. [ 2] Geometry is, along with arithmetic, one of the ...
Math 55 is a two-semester freshman undergraduate mathematics course at Harvard University founded by Lynn Loomis and Shlomo Sternberg. The official titles of the course are Studies in Algebra and Group Theory (Math 55a) [ 1] and Studies in Real and Complex Analysis (Math 55b). [ 2] Previously, the official title was Honors Advanced Calculus and ...
The golden ratio is also an algebraic number and even an algebraic integer. It has minimal polynomial. This quadratic polynomial has two roots, and. The golden ratio is also closely related to the polynomial. which has roots and As the root of a quadratic polynomial, the golden ratio is a constructible number.
This was known as "eighth grade school" [37] After 1900, some cities began to establish high schools, primarily for middle class whites. In the 1930s roughly one fourth of the US population still lived and worked on farms and few rural Southerners of either race went beyond the 8th grade until after 1945. [38] [39] [40] [41]