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所在平台: Udemy |
课程主页: https://www.udemy.com/course/learn-the-magic-in-integration-part-1-a-step-by-step-process/
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Coursera数学积分在人工智能与机器学习中的应用 课程总结 本课程旨在帮助学生掌握积分的基础知识及其在人工智能（AI）与机器学习（ML）中的应用。课程从积分的基本概念——作为反导数和基础积分公式入手，带领学习者一步步深入。 课程内容涵盖： * **基础积分**: 介绍积分作为反导数的概念以及基本积分公式。 * **换元法**: 学习如何运用换元法解决积分问题，并理解其普适性。 * **三角积分与特殊积分**: 讲解三角函数的积分以及一些特殊的积分公式。 * **涉及多项式的积分**: 教授当分子次数大于分母次数时的积分方法，包括长除法和部分分式分解。 * **分部积分法**: 学习分部积分法的原理、步骤和应用，并通过实例演示。 * **定积分**: 讲解定积分的概念，以及左端点求和、右端点求和、中点法则和梯形法则等数值积分方法，并展示定积分在解决实际问题中的应用。 * **练习与技巧**: 提供客观题库，帮助学习者掌握解题技巧和策略，应对棘手的积分问题。 通过本课程的学习，学生将打下坚实的积分基础，并能将其应用于AI和ML领域，同时也能为AP微积分等考试做好准备。课程鼓励学习者积极参与练习，克服学习中的难点。
You know how important it is for you to know Integration if you are a student of Mathematics. But yet, somewhere, along the way, you get lost. Having taught Mathematics to teenagers and adolescents for the past three decades, I can help you understand the nuances of Integration.Take up the Integration Challenge. Right from taking baby steps in Integration, you will move on to a Higher level of understanding This course starts with the very basics of Integration. You will start with the concept of Integral as antiderivative and a few basic formulas of Integration.The course then introduces you to the substitution method. Take up the challenge to solve the problems given. You will learn how to compare methods and that any problem in Integration can be solved using this method.You are getting an irresistible bargain in this course. Trigonometric Integrals and certain special integral formulas are taught here.. I would advise each one of you to hurry and join this course.The next part of this course would show you how to integrate when the degree of the numerator is greater than the degree of the denominator. You will see the long division method. One can also learn about partial fractions here.You'll learn how to integrate by parts and the right order to be followed when you do so. An interesting, yet important application is also illustrated here. Watch step by step solutions to problems. Practice along with me and become adept in Integration. I hope this course will help you. Learn Definite Integrals for AP Calculus. Learn how to use the Left Sum, Right Sum, Midpoint Rule and Trapezoidal Rule in Definite Integrals.Learn about Definite Integrals and how to use it in problem solving.Use the Objective Question Bank on Integrals. Learn tips and Strategies for Mastering Tricky Integrals.Would you care to share this with your fellow students and friends who are finding Integration difficult? Spread the good word around. You are all worth it.
