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What aspects of mathematics are used by the economy and society?
Advanced Mathematics: Except for the knowledge about geometry, everything else is useful in economics. In particular, Lagrange method is used to find the maximum. If you want to learn advanced macroeconomics and microeconomics, you will use linear optimization methods, stochastic processes and so on.

Linear algebra: it is not widely used in economics, but linear programming will be more useful.

Probability theory and mathematical statistics: the foundation of econometrics, necessary for writing economic papers.

In short, if you want to learn the level of intermediate economics, the above knowledge is enough. If you want to study advanced theories such as game theory in economics, you need to have deep mathematical knowledge.