应用数学实验室
Python Applied Mathematics Labs

原始链接: https://labs.acme.byu.edu/Pages/intro.html

这些在线实验室旨在补充《应用数学基础》教材系列,提供核心数学和计算概念的实践操作。它们专注于使用Python和NumPy、SciPy和Matplotlib等关键科学库,弥合理论与现实应用之间的差距。 用户将培养数值方法、数据可视化、编码最佳实践和高效计算方面的技能。实验室按教材的卷次组织,包含清晰的目标、理论背景、练习和补充材料。 除了完成实验室外,鼓励学生开发个人项目来扩展实验内容——例如,将马尔可夫链练习转化为Twitter机器人——以展示他们的技能,用于实习或求职申请。非ACME学生的访问信息可在“公共使用”页面上找到。

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原文

The labs on this website are designed to accompany the Foundations of Applied Mathematics textbook series. They provide hands-on experience with key mathematical and computational concepts, connecting theory to practical, real-world applications.

Note for public users: If you are not an enrolled ACME student, please see the Public Use page for information on setup, access, and usage guidelines.

What You’ll Learn

Core Technical Skills

  • Python libraries: NumPy, SciPy, Matplotlib, pandas, and other scientific packages

  • Core mathematical algorithms, numerical methods, and modeling techniques

  • Coding best practices, including unit testing and code optimization

  • Array broadcasting and efficient numerical computation

  • Data visualization and analysis techniques

Real-World Applications

In these labs, you will solve problems such as:

Site Structure

At the top of each page, you’ll find several useful tools:

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Fig. 1 Create an issue on GitHub if you find an error in the labs.

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Fig. 2 Download page source, PDF, lab spec/test/data files, and requirements.

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Fig. 3 Toggle fullscreen mode.

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Fig. 4 Toggle light/dark mode.

The labs are organized by volume, accessible via the tabs on the left. Each lab volume corresponds to a theory volume in the textbook series. Other key sections include:

  1. Getting Started — A roadmap for beginning work on the labs and setting up your computer.

  2. Environment Setup — Step-by-step instructions to configure your system for the ACME labs.

  3. Student Resources — Tips and guides for ACME students, from code quality to plotting with Matplotlib.

  4. Supplemental Labs — Optional labs introducing additional concepts.

  5. References — Sources and references used in lab development.

  6. ACME Contributors — Individuals who have contributed to the development of these materials.

Lab Structure

Each lab is self-contained and includes:

  • Clear learning objectives

  • Theoretical background and practical examples

  • Exercises to apply what you’ve learned

  • Additional materials for deeper exploration

These labs are designed to bridge the gap between theory and implementation, strengthening both mathematical intuition and programming skills.

Personal Projects

The labs are also an excellent springboard for personal projects, which can be valuable for internships or job applications. Projects showcase your initiative, creativity, and technical ability beyond coursework.

For example, one student expanded the Markov Chains lab into a Twitter bot called TSwizzlebot.
Your project can be as creative as you like, just ensure you extend or modify the lab in a way that makes it uniquely yours. It should no longer look like a homework submission, but rather an original project.

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