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Math10
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For example, the highest level of math that high school senior takes in high school is AP Calculus BC. But what's the highest level of math that math majors take in college? How about for engineering majors in college?
Math10 said:For example, the highest level of math that high school senior takes in high school is AP Calculus BC. But what's the highest level of math that math majors take in college? How about for engineering majors in college?
micromass said:Mathematics in high school is linearly ordered, for example you need to take algebra before calculus, and calculus is (usually) the end of the road.
Things are very different in college. Sure, many subjects have prerequisites, but you cannot neatly order the subjects anymore. Things like abstract algebra and differential geometry are pretty independent. You can take both at the same time, or you can take one much later than the other (or not at all). So in fact, there are highest levels of math is many directions, there is not just one level of math that is the highest. For example, set theory and forcing might be one "highest level class", but "algebraic geometry" might be another.
Also note that after a while, you are expected to self-study subjects, they don't get taught anymore.
bhobba said:It's virtually unlimited.
But in my math degree you could, if you were considered a good student, take some masters level courses as an undergraduate.
symbolipoint said:bhobba, how could your school justify holding a class for only three students registered? Does any university allow this for graduate level or other highly advanced courses?
dkotschessaa said:Yes, that's true of course. Not at all uncommon for undergraduates to do this. Lots of people also just sit in/audit graduate classes. There are also classes that are split between grads and undergrads.
Sounds like he meant himself and two other undergraduates in a graduate course, and there were likely other graduate students in the course.
The highest level of math that math majors take at college varies depending on the school and program, but it is typically at least through differential equations and multivariable calculus.
No, the highest level of math required for math majors can vary from school to school and within different math programs. Some may require additional courses such as real analysis or abstract algebra.
No, different types of math majors (such as pure math, applied math, or statistics) may have different highest levels of math required. It is important to check with the specific program to determine the requirements.
Topics covered in the highest level of math for math majors may include advanced calculus, linear algebra, abstract algebra, real analysis, topology, and differential geometry.
No, the highest level of math for math majors may not be necessary for all math-related careers. Some careers may require a specific type of math knowledge, while others may not require advanced math at all. It is important to research the requirements for your desired career path.