![]() ![]() Understand the logic of mathematical arguments, different ways to prove a statement, and how to construct your own proofs.Learn how to read mathematical exposition with the goal of understanding, rather than with the aim of solving a narrow class of rigid problems.Learn how to interpret and use common mathematical notation involving sets and functions.Learn how to interpret and use mathematical language properly, with an emphasis on quantifiers (there exists, for all), connectives (and, or, not, implies), and the role of definitions.Develop the ability to apply conceptual ideas in order to solve problems, and appreciate the importance of how the relevant theoretical ideas can simplify (or allow one to completely avoid) complex computations.
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