Chalmers University of Technology Integrates MATLAB Throughout Core Mathematics Curriculum

Challenge

向多个学科和两个大学的学生教学数学和数学建模,并为他们达到行业的需求

Solution

Integrate MATLAB throughout the core mathematics curriculum and provide interdisciplinary exercises in practical problem-solving

结果

  • 跨部门合作改进了
  • 学生教授行业所需的技能
  • Students self-identified as expert users

“We train our students to use MATLAB as an interactive tool not only for completing the assigned exercises but also for investigating mathematical problems and having fun. We are increasing our focus on interdisciplinary programs, and MATLAB is perfect for integrating mathematics with other subjects.”

Chalmers理工大学Tommy Gustafsson博士
Chalmers University in Gothenburg, Sweden.

Chalmers University of Technology and the University of Gothenburg share a mathematical sciences department that offers courses to students at both universities. The department’s undergraduate curriculum includes a set of core courses for students in engineering, science, and math programs. Through these courses, almost 1000 students each year learn how to use MATLAB®to solve problems relevant to their area of study. The faculty adopted this approach to engage students in learning foundational math concepts and to prepare them for upper-level courses and careers that require skills in mathematical modeling.

“MATLAB is the common thread running through all our core math courses,” says Dr. Tommy Gustafsson, director of studies for mathematics at Chalmers. “MATLAB serves as a bridge between math and other subjects—such as chemistry or architecture—that helps students connect with the course material and understand how it is applied in industry.”

Challenge

In the past, students in the early mathematics courses were given relatively simple assignments on concepts taught in lectures. The department’s faculty soon recognized two shortcomings of this approach. First, the problems were not difficult enough to engage the students. Second, they were abstract and not directly relevant to practical engineering or scientific challenges. “Instead of school problems, as I called them, we wanted to present students with real problems, to help them understand and apply what they learned,” says Gustafsson. “Many industries in Sweden need people who understand mathematical modeling, and we wanted to prepare our students to meet that demand.”

该部门还想为学生提供Chalmers和哥德堡大学,方便地访问他们需要在跨学科课程中完成任务和项目所需的工具。

Solution

整个核心和上级课程的数学科学系综合MATLAB,以及两所大学都获得了校园范围的许可证,使学生能够访问任何一个校园内的MATLAB。

教师为化学和生物工程计划中的学生提供了第一和第二年的课程,以及建筑和技术计划的学生。

化学和生物工程学生从MATLAB介绍开始,包括内置功能和策划。然后,他们学习Matlab中的基本编程结构,并完成了他们编程康威的生命游戏的作业。在第一个课程中的最后两个作业探索了二分,线性化和牛顿的方法。

第二个课程涵盖了中国的应用als and ordinary differential equations in MATLAB. The students use MATLAB to model reaction kinetics and the oxidation of NO to NO2

In the third and fourth courses, students solve linear systems of differential equations. Students write their own solvers before using the built-in MATLAB solvers. Using MATLAB, students reproduce a plot from a chemistry textbook showing the probability of finding the electron in a certain area around a hydrogen atom.

First-year students in architecture and technology programs also start with an introduction to MATLAB, covering integrals, differential equations, and numeric computation. With MATLAB, they complete assignments using calculus in one variable and multivariate calculus.

学生在形状,颜色和建筑工具课程探索建筑与工程中使用的几何形状。在线性代数的后续课程中,学生完成了一个最终项目,他们使用Matlab在大英博物馆的庭院上模拟玻璃屋顶。

Students at all levels—including graduates—continue to use MATLAB throughout their studies for course assignments, individual and team projects, and student engineering competitions.

结果

  • 跨部门合作改进了。“MATLAB has enabled the mathematical sciences department to improve its collaboration with other departments, which helps students connect to the subject they are studying,” says Dr. Gustafsson. “Chemistry students solve math problems related to chemical processes, and architectural students apply mathematical modeling to bridges, buildings, and other structures—all in MATLAB.”

  • 学生教授行业所需的技能。“我们在瑞典和欧洲的工业合作伙伴希望了解如何在Matlab中创建和使用数学模型的学生,”Gustafsson博士说。“当我在汽车行业工作时,我们使用Matlab。我们的学生在他们学会解决真正问题时使用它的方式与众不同。“

  • Students self-identified as expert users。在一项关于公式学生本科工程竞争的115支球队的调查中,来自哥德堡查尔姆和大学的团队是只有四支球队之一,他们将自己评为专家Matlab用户。“我对这个结果并不感到惊讶,因为Matlab深深融入了我们部门的所有教学中,”Gustafsson博士说。

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