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Combining Ordinary Differential Equations with Rigid Body Dynamics: Teaching a Second-year Engineering Dynamics Course to Two-year College Graduates

机译:用刚体动态结合普通微分方程:为两年大学毕业生教授第二年的工程动态课程

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Students graduating with a two-year technical diploma from vocational colleges are entering a new Energy Engineering Program in Spring 2015 Term at Schulich School of Engineering, University of Calgary. The program provides a path for students with hands-on skills to pursue an engineering bachelor degree. The need to reduce the program completion duration and to provide mathematics courses with sufficient practical aspects has led the School to design a second-year course that combines ordinary differential equations with rigid body dynamics. This course, named ENER 340, has a prerequsite of another course, ENER 240, which combines differential and integral calculus with particle dynamics. We - the ENER 340 instructor team - find that even with such prerequisite course that exposes the students to more elementary concepts of particle dynamics and calculus, students struggled with developing problem solving skills further to solve rigid body dynamics. We find that teaching ordinary differential equations is much easier than teaching rigid body dynamics due to clear logical procedures for solving the former. Students also find it easier to learn the former. We consider several topics that can help blend the two course subjects better based on our teaching experience. We also find that such course blending initiative requires slower teaching and learning speed to allow students to digest the course material better. In addition, a more dedicated textbook that combines both topics is required.
机译:学生们毕业于职业院校的两年技术文凭,在卡尔加里大学舒洛希工程学院春季进入了新的能源工程方案。该计划为学生提供了一条探手技能,以追求工程学士学位。需要减少方案完成持续时间并提供具有足够实际方面的数学课程,导致学校设计了第二年的第二年课程,将普通的微分方程与刚体动态相结合。本课程命名为9440,具有另一个课程的PrereqUsite,该课程将与粒子动力学相结合的差分和整体微积分。我们340次教练团队 - 发现即使是这样的前提课程,也让学生更加基本的粒子动态和微积分的概念,学生们努力开发解决问题的问题,进一步解决刚体动态。我们发现,由于解决前者的明确逻辑程序,教学常微分方程比教授刚体动态更容易。学生还发现更容易学习前者。我们考虑了几种可以帮助融合两门课程的主题,根据我们的教学经验更好地融合。我们还发现,这些课程混合倡议需要较慢的教学和学习速度,让学生更好地消化课程材料。此外,需要一个组合这两个主题的更专用的教科书。

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