Calculus: Applications of Derivatives

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课程主页: https://www.udemy.com/course/calculus-applications-of-derivatives-d/

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**课程名称:** 微积分:导数的应用 **课程概述:** 本课程旨在帮助学习者掌握导数在现实生活中的广泛应用。课程首先对导数概念进行快速回顾,然后探讨其在研究物体运动、预测股票市场波动、确定驾驶速度、检测温度变化、计算损益等方面的实际应用。 课程内容结构清晰,分为“讲座”和“习题”两个部分。在讲座部分,将阐述相关理论,并通过大量生活实例或与生活问题相关的例子进行演示。习题部分则提供更多练习,以加深理解。 课程还提供讲座和习题中所有例题的PDF格式笔记。课程参考资料为 Gilbert Strang 教授的《微积分》,可从 MIT Open Courseware Hub 免费下载。 **学习建议:** 为了最大化学习效果,建议学习者按顺序学习讲座和习题,然后独立完成课后练习。同时,鼓励参考的教材中的额外习题,进行更深入的练习。 **目标:** 使学习者能够将导数知识应用于解决实际问题,并为进一步学习微积分打下坚实基础。

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Hello, Welcome to Calculus: Applications of Derivatives course. Many of us has already learned what are derivatives through either college lectures or through self learning. But what was really important is how could we apply the knowledge we have gained through learning to other applications including studying motions of bodies, predicting fluctuations of stock markets, finding at which speed you're driving, checking temperature variations, calculating profits or losses, etc...In this course, we take a quick refresher on what are first derivatives then mention how they could be used in some real life scenarios. Not all examples are real life cases. However, they give you a sense of how we could use derivatives through a set of theories proposed by great math scientists. The structure of the course is divided into a lecture & a section mode. In each lecture, theories are stated and demonstrated through some examples. Mostly are either real life cases or related to real life problems. Then using sections, we have extra examples that make things more clear.The course also includes notes which are the problems that are solved during lectures & sections in PDF downloadable format. The course uses Prof. Gilbert Strang Calculus as a reference. The book is available to download for free from the MIT Open courseware hub. To get the best out of the course you shall go through lectures, and sections first then start solving the problems on your own. It would be perfect to try on extra problems through the reference book.Would always be happy to help and wish you get the best out of the course. Thank you,

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