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所在平台: Udemy |
课程主页: https://www.udemy.com/course/complex-numbers/
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**课程名称（暂译）：复数基础概念：复数代数运算** **课程概述：** 本课程深入浅出地讲解了数学中至关重要的主题——复数。无论您是初学者，都将能够轻松理解复数概念，并建立解答练习题的信心。课程详尽地介绍了所有定义和公式，并辅以清晰易懂的示例。 **课程内容涵盖：** * **i 的幂与基础概念：** 介绍 i (虚数单位) 的积分幂，以及复数的实部、虚部和复数相等。 * **复数运算：** 详细讲解复数的加法、减法、乘法和除法，以及它们的性质。 * **复数共轭与模：** 学习复数共轭的概念及其性质，以及复数的模和相关性质。 * **复数求解：** 掌握复数的平方根和单位立方根的求解及其性质。 * **复数的几何表示：** 以几何方式直观展示复数，包括参数的求解方法。 * **几何运算：** 理解复数加法、减法、乘法和除法的几何表示。 * **参数性质：** 探讨复数参数的各种性质。 * **指数形式：** 介绍复数的指数形式（欧拉公式）。 * **几何应用：** 学习复数共轭的几何表示，以及距离公式、内分/外分公式和圆的方程。 * **棣莫弗定理：** 重点讲解棣莫弗定理。 **课程价值：** 本课程旨在为您的学术学习和参加各类竞争性考试打下坚实基础，并为深入学习高等数学提供有力支持。课程将通过问答环节提供优质的答疑服务，并根据您的反馈不断更新材料和增加练习题。我们期望本课程能帮助您更深入地理解复数，提升学习自信。 **期待您的加入！立即报名！**
Complex numbers is one of the most important topics of mathematics.This course has been designed in such a way that even a beginner will understand the concepts easily and develop confidence to attempt unsolved exercises.All definitions and formulae have been discussed in detail in lucid manner with suitable examples.The course is thoughtfully structured and organised. The topics covered areIntroduction and integral powers of iotaReal and imaginary parts of complex numbers & equality of complex numbersAddition and subtraction of complex numbers and their propertiesMultiplication and division of complex numbers & conjugate of complex number and propertiesModulus of complex number and propertiesSquare root of complex numberCube root of unity and its propertiesGeometrical representation of a complex numberMethod of finding argumentGeometrical representation of addition, subtraction, multiplication and divisionProperties of argument of a complex numberExponential form of a complex number (Euler's Formula)Geometrical Representation of conjugate of a complex numberDistance formula,Internal and External division formula, Equation of CircleDe-Moivre's Theorem I am sure that this course will be create a strong platform for students for their academic course and those who are planning for appearing in competitive exams and studying higher Mathematics.You will also get a good support in Q & A section. It is also planned that based on your feed back, new material and more questions will also be added to the course. Hope the course will develop better understanding and boost the self confidence of the students.Waiting for you inside the course!Join now!!!
