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Hi, What is Topology? What is Analysis? What is Differential Equations with Linear Algebra? What can i use Analysis and Topology with? I know all them classes requires calc 3. What can someone do besides teaching with an AS and BS degrees in mathematics?

Posted

It isn't easy to explain exactly what topology and analysis are, in just a few words. They are pretty comlicated topics, meantime maybe you could do a bit of reading here:

 

Topology - Wikipedia, the free encyclopedia

Mathematical analysis - Wikipedia, the free encyclopedia

 

Strictly, calculus should be based on topology although it is usually taught in a more "quick'n'dirty" fashion (with all those epsilons and deltas) and calculus is the basics of analysis.

 

Differential equations (also essentially a topic of calculus) are relations between a function and its derivatives, usually a whole class of functions will be solutions to them. There are some basic kinds with well known solutions but it can be very hard to find solutions of other ones.

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