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The objective is that you’ll be able to catch the motivation behind mathematics and be able to construct your own valid proofs. Indeed, above all you have to think and communicate like a mathematician. In this way concepts from Calculus will be tested
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This course aims at providing a further step to real mathematical thinking. You will develop an arsenal of techniques to help you unlock the meaning of definitions, theorems and proofs, solve problems, and write mathematics effectively. All the major methods of proof - direct method, cases, induction, contradiction and contrapositive - are featured.Concrete examples are taken from the field of real analysis: concepts such aslike completeness, limit, continuity, differentiability-and, integrability.The objective is that you'll be able to catch the motivation behind the mathematics and be able to construct your own valid proofs.
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