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所在平台: Udemy |
课程主页: https://www.udemy.com/course/engineering-calculus-made-simple-derivatives/
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**课程名称：** 工程微积分简明教程（导数） **课程概述：** 本课程旨在为电气工程专业的学生提供导数的基础回顾。导数是微积分中的一个基本工具，用于衡量函数值（输出值）相对于其自变量（输入值）变化的敏感度。例如，物体位置随时间变化的导数就是物体的速度，它衡量了物体位置随时间变化的快慢。 导数可以被理解为函数在某一点切线的斜率，也代表了函数在该点附近的最佳线性近似。因此，导数常被描述为“瞬时变化率”，即因变量瞬时变化量与自变量瞬时变化量之比。 本课程特别关注导数在电气工程中的应用，旨在帮助学生理解那些提及导数的理论公式。即使不要求深入掌握导数理论，本课程也将提供继续学习电气工程主题所需的必要基础知识。课程内容将涵盖有用的三角恒等式，并通过极限和挤压定理等定理来讲解导数。
In mathematics, the derivative of a function of a real variable measures the sensitivity to change of the function value (output value) with respect to a change in its argument (input value). Derivatives are a fundamental tool of calculus. For example, the derivative of the position of a moving object with respect to time is the object's velocity: this measures how quickly the position of the object changes when time advances.The derivative of a function of a single variable at a chosen input value, when it exists, is the slope of the tangent line to the graph of the function at that point. The tangent line is the best linear approximation of the function near that input value. For this reason, the derivative is often described as the "instantaneous rate of change", the ratio of the instantaneous change in the dependent variable to that of the independent variable.This course is designed as the basics review of derivatives as they apply to electrical functions. It is designed for the student of electrical engineering who comes across theoretical formulas that reference derivatives. A detailed understanding of derivatives is not required in order to continue the electrical topic and this course will provide the basic amount required. During this course, the student will learn useful trig identities and approach derivatives with the help of limits and theorems such as the squeeze theorem.
