Analysis Boot Camp: An Alternative Path to Epsilon-Delta Proofs in Real Analysis
Analysis Boot Camp: An Alternative Path to Epsilon-Delta Proofs in Real Analysis
复制标题
分析训练营：实分析中 Epsilon-Delta 证明的替代途径
DOI：
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发表时间：
2020
期刊：
影响因子：
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通讯作者：
Suzanne M. Seager
中科院分区：
文献类型：
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作者：
Suzanne M. Seager
对我的许多学生来说，真实的分析I是他们将学习的第一门也是唯一一门分析课程，这些学生往往被ε-δ证明所淹没。为了帮助他们，我重新安排了真实的分析I，在课程的前两周开始“分析靴子营”，重点是处理不等式、绝对值和多个量词。这对接下来的所有主题都有帮助，当我们最终达到实值函数的极限时，较弱的学生会发现ε-δ证明更容易处理，并且更有可能通过期末考试。
Abstract For many of my students, Real Analysis I is the first, and only, analysis course they will ever take, and these students tend to be overwhelmed by epsilon-delta proofs. To help them I reordered Real Analysis I to start with an “Analysis Boot Camp” in the first 2 weeks of class, which focuses on working with inequalities, absolute value, and multiple quantifiers. This helps with all the topics which follow, and when we finally reach limits of real-valued functions, the weaker students find epsilon-delta proofs much easier to handle, and are more likely to pass the final exam.