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He was the first mathematician to receive a Ph.D. in math, and he received the erastus brooks fellowship in mathematics, if you are doing this for school, you may want to actually try to look it up.
Math teacher
This all depends on the colleges that offer these majors. Some types of math majors I know are:Applied Math - take math courses that have some applications to real life.Pure Math Majors - take math courses, in which the content doesn't rely a lot of on the application of math. Instead, students study the aspects of how math is created.(In some universities) Education Math Majors - usually take some math courses and some physics and computer science courses. They need to take some education courses, based on their goals.
hittes math
I believe that some cool projects are - Math in Chess Math in Probability Pascal's Triangle Serpinski's Triangle Math in Origami Binary Computer Coding Math in Magic Math in Music These are good topics.