Calculus 1

所在平台: Udemy

课程主页: https://www.udemy.com/course/calculus-formulation-and-description-of-conic-sections/

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课程名称:微积分1 课程概述:微积分被称为科学的语言,其重要性毋庸置疑。在化学、物理学、数据科学、机器学习、深度学习、人工智能以及生物学等领域,掌握微积分可以用数字和方程定义几乎所有事物。然而,学习微积分并非易事,它涉及多个领域,研究持续变化的现象。微积分这一名称源自拉丁语,意指小石子,古时用于计算。通过微积分,您可以找到数学方程之间的模式,从而简化涉及一个或多个变量的函数任务。 如果您在学校没有学习过微积分,或者想提前掌握课程内容,该在线课程是个绝佳选择。课程由经验丰富的讲师Ad Chauhdry教授,他拥有数学硕士学位并在大学教授超过十五年。课程包含42节讲座,涵盖了极限与连续性、导数、定积分与不定积分、圆锥曲线、平面曲线与三维坐标系等内容。 课程适合希望掌握微积分基础知识的学生,包括以下重要主题: - 极限与连续性:学习极限和连续性的应用及相关练习。 - 导数:熟悉导数及其几何解释。 - 积分技术:涵盖不定积分的各类积分技术。 - 圆锥曲线:研究平面几何中的抛物线、椭圆和双曲线等问题。 - 三维坐标系统:讨论斜率、点截距式、球极坐标、圆柱坐标等。 - 多重积分:涵盖多重积分的解法及其在计算面积和体积中的应用。 课程提供的好处包括快速掌握重要概念、丰富的例子和练习,助您在短时间内巩固知识。该课程还提供30天退款保证,确保学生无后顾之忧。 此课程是一部微积分的完整百科全书,适合希望深入理解微积分及其实际应用的所有学习者。立即加入我们,开始您的微积分学习之旅,成为微积分的高手!

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When trying to explain why it's worth mastering calculus 1, people often call it the language of science. It's true - you can define pretty much anything in numbers and equations in master calculus, be it in the fields of chemistry, physics, data science, machine learning, deep learning, and artificial intelligence or biology. However, it's not that simple to get the master calculus down, as it's not quite a single discipline. There are a lot of areas that relate to a different phenomenon. For example, if study mathematics then, geometry teaches us about shapes, algebra explains the mathematical symbols and how to use them… Calculus, in turn, stands for the study of continuous change.What exactly is calculus, and where can you use it?The name of calculus comes from a Latin word meaning a tiny pebble, as they were used for calculation in ancient times. It helps you find patterns between mathematical equations. This simplifies the tasks that include using functions involving one or multiple variables. Not only does calculus and analytic geometry are great exercise for your brain, but it also has numerous practical applications, including:PhysicsStatisticsEngineeringBusinessEconomicsand any field where creating a mathematical model can help reach the solutionIf you haven't learned calculus at school or simply want to get ahead of the curriculum, we've got good news for you - you can quickly learn calculus online! Guided by a professional lecturer, you will save time, get familiar with the most crucial concepts, and gain valuable skills in just a few hours.This online calculus course is also an excellent option for those who have the basics of calculus down but wish to refresh and strengthen their knowledge. Following explanations and practical examples, you will brush up on your skills in no time!Choose the online calculus course prepared by the best!When you decide to learn calculus online, you face one more problem: how do you choose a course that doesn't take dozens of hours and contains all the vital information? How do you find the balance between theory and practical use? Simply said, how do you choose the best tutorial from all the choices available to you on the Internet?The most important advantage of choosing an online calculus course over face-to-face lectures is being able to select the best teachers: the boundaries of time and location do not exist on the Internet. In this course, you will learn calculus and analytic geometry from a true master! The lectures in this online calculus course have been prepared by the one and only Ad Chauhdry, who has a master's degree in mathematics and over fifteen years of experience teaching at universities. Apart from lecturing, he's also a mathematics researcher and a published author of scientific articles in several journals.In forty-two lectures, Ad Chauhdry explains everything you need to know to master calculus and illustrated the concepts with practical examples in whiteboard demonstrations. As of now, he has taught thousands of people all around the world - both online and offline. With this online calculus course, you can become one of them! Start learning now and become a master of calculus today!This course is a complete calculus encyclopedia. It is the longest course from any calculus course on udemy. There are more than 10 sections in this course and each section has bundles of videos lectures on calculus and its applications. The contents of the course focus onLimits and continuity. Derivatives. Definite and indefinite integrals. Conic sections. Plane curve 1 and plane curve 2. Three-dimensional coordinates system.Partial differentiation. Multiples integrals.Differential equations.Limits and Continuity: In the first section of the course, the students will learn about limits and continuity and their application along with a number of exercises and examples.Differentiation:In this section, the students will get familiar with derivatives and geometrical interpretation of derivatives along with various exercises and examples.Techniques of Integration:This section is organized with various techniques of integration in indefinite integral.Conic Sections:Drawing and sketching and solving of problems of plane geometry of, Parabola and all planes figures. Example Problems of Parabola, derivation of ellipse Equation, ellipse examples, derivation of hyperbola equation,Problems and exercise of hyperbola, graphical explanation of parabola, ellipse, and hyperbola. Focus, vertex, directrix, and eccentricity of parabola, center, foci, vertices, directrix, and latus rectum of the ellipse. I have described the center, vertices, foci, and equation of joint asymptotic of the hyperbola Plane Curve I and IIThe asymptote of a curve.Maxima and minima of a function.Orthogonal trajectories of curves.Solution of curves like cardioid and cycloid etc.Three Dimensional Coordinates System Slopes.Slopes intercept form.Point intercept form.Spherical polar coordinates.Cylindrical coordinates.Paraboloid.Hyperboloid.Ellipsoid.Cycloid.Partial Differentiationdefinitions.Proofs.Examples and exercises.Multiples IntegralsHow to solve the double and multiple Integrals.How to find the limits in doubles and multiple integrals.How to find the area and volume by using the double and multiple integrals.Many examples and exercises.MONEY-BACK GUARANTEEIt is not like that I have wasted the time anywhere in the course. I am giving you genuine course content presentations. So I promise you that you will not waste your money. Also, Udemy has a 30-day money-back guarantee and if you feel that the course is not like what you were looking for, then you can take your money back.WHAT PEOPLE ASK ABOUT MY COURSESHere are some reviews of my courses by the students.1- Brava Man: Superb course!!The instructor is very knowledgeable and presents the Quantum Physics concepts in a detailed and methodical way.We walked through aspects like doing research and implementation via examples that we can follow in addition, to actual mathematical problems we are presented to solve.2- Manokaran Masikova: This is a good course to learn about quantum mechanics from basic and he explained with example to understand the concept.3- Dr. B Baskaran: very nice to participate in the course and very much interesting and useful also.4- Mashrur Bhuiyan: Well currently I am an Engineering student and I forgot the basics of my calculus. but this course helped me to get a good understanding of differentiation and integration. Overall all of the teaching methods are good.5- Kaleem Ul Haq: Really great explanations and each step has been explained well. I am enjoying this course. He is a familiar instructor in calculus. I have seen many lectures of this instructor before taking this course. HOPE YOU WILL JOIN ME IN THIS COURSE

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