摘要翻译：
定量方法和数学建模正在跨学科发挥越来越重要的作用。因此，跨学科数学课程越来越受欢迎。然而，在高级水平上教授此类课程可能具有挑战性。学生们常常带着不同的数学背景、不同的兴趣和不同的学习理由来到这里。在这里，我们描述了一门关于生物学中随机过程的课程，该课程在2020年9月至12月期间向数学家和生物学家的混合观众提供。除了传统的讲座和家庭作业之外，我们还在课程中加入了一系列每周计算挑战。这些挑战帮助学生熟悉主要的建模概念，并为他们提供如何在类似研究的环境中实现这些概念的介绍。为了考虑到学生不同的学术背景，他们以小组的形式研究挑战，并在每周的专门讨论课上展示他们的结果和代码。我们通过计算挑战来讨论我们在应用数学课程中设计和实施基于问题的学习元素的经验。我们也讨论来自学生的反馈，并描述课程中提出的挑战的内容。我们提供所有的材料，以及一些挑战的示例代码。
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英文标题：
《Incorporating Computational Challenges into a Multidisciplinary Course
  on Stochastic Processes》
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作者：
Mark Jayson Cortez, Alan Eric Akil, Kre\v{s}imir Josi\'c and Alexander
  J. Stewart
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最新提交年份：
2021
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分类信息：

一级分类：Quantitative Biology        数量生物学
二级分类：Other Quantitative Biology        其他定量生物学
分类描述：Work in quantitative biology that does not fit into the other q-bio classifications
不适合其他q-bio分类的定量生物学工作
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一级分类：Mathematics        数学
二级分类：History and Overview        历史和概况
分类描述：Biographies, philosophy of mathematics, mathematics education, recreational mathematics, communication of mathematics, ethics in mathematics
传记、数学哲学、数学教育、娱乐数学、数学交流、数学伦理
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英文摘要：
  Quantitative methods and mathematical modeling are playing an increasingly important role across disciplines. As a result, interdisciplinary mathematics courses are increasing in popularity. However, teaching such courses at an advanced level can be challenging. Students often arrive with different mathematical backgrounds, different interests, and divergent reasons for wanting to learn the material. Here we describe a course on stochastic processes in biology, delivered between September and December 2020 to a mixed audience of mathematicians and biologists. In addition to traditional lectures and homeworks, we incorporated a series of weekly computational challenges into the course. These challenges served to familiarize students with the main modeling concepts, and provide them with an introduction on how to implement them in a research-like setting. In order to account for the different academic backgrounds of the students, they worked on the challenges in small groups, and presented their results and code in a dedicated discussion class each week. We discuss our experience designing and implementing an element of problem-based learning in an applied mathematics course through computational challenges. We also discuss feedback from students, and describe the content of the challenges presented in the course. We provide all materials, along with example code for a number of challenges.
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PDF链接：
https://arxiv.org/pdf/2109.04431