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Coursera calculus 1 基础课程： **主题：** * **变化率：** 微分 * **累积：** 积分 **应用领域：** * 物理科学、精算科学、计算机科学、统计学、工程学、经济学、商业、医学、人口统计学等。 **课程内容：** * **极限：** * 极限概念 * 极限存在性 (左极限和右极限) * 极限的代数运算 * 洛必达法则 * 夹逼定理 * 三角函数极限 * 无穷远处的极限 * **导数：** * 导数概念 * 导数的初值定理 * 导数的代数运算 * 常见函数导数 * 链式法则 **课程亮点：** * 15 多个视频讲座 * 综合示例、测验和解答 * 新的练习工作表 (极限和导数) **重要提示：** * 访问 gyaanX 网站注册课程，有机会赢取礼品卡。 * 学习基础知识，掌握微积分。
Visit our website gyaanX and signup for the course and get a chance to win gift cards in our monthly lucky draw.---------------------------------------------------------------------------Calculus is the study of change with its primary focus on:1. Rate of Change (Differentiation Calculus)2. Accumulation (Integral Calculus)Calculus is used in every branch of the physical sciences, actuarial science, computer science, statistics, engineering, economics, business, medicine, demography, and in other fields wherever a problem can be mathematically modeled and an optimal solution is desired. It allows one to go from (non-constant) rates of change to the total change or vice versa, and many times in studying a problem we know one and are trying to find the other.In this course, we will be covering the building blocks of Calculus: Limits and Derivatives(Differential Calculus) in an interactive manner with the help of 15+ video lectures, miscellaneous examples, quizzes and solutions.Calculus Fundamentals: Section 1 - LIMITSConcept of Limits: For making you familiar with the notion of the Limit.Existence of Limits: Introduction to the Left Hand Limit and the Right Hand Limit.Algebra of Limits: Addition, Subtraction, Multiplication and Division in Limits.L'Hospital Rule: A handy tool to circumvent the common indeterminate forms when computing limits.The Sandwich Theorem: To evaluate limits of functions that can't be computed at a given point.Limits of Trigonometric Functions: To cover the important limit identities of trigonometric functions.Limits at Infinity: To evaluate limits at points tending to positive and negative infinity.Calculus Fundamentals: Section 2 - DERIVATIVESConcept of Derivatives: Meaning of the term "Derivative" in Mathematics.First Principle of Derivatives: The conventional way of computing derivatives.Algebra of Derivatives: Addition, Subtraction, Multiplication and Division in Derivatives.Derivatives of common functions: To set you free to calculate derivative of combination of any functions.The Chain Rule: To calculate the derivatives of composite functions no matter how complex they are.Calculus Fundamentals: Section 3 - FORMULAE & REFERENCESFor a quick glance over the formulae and notations used throughout the course.---------------------------------------------------------------------------Enrol in this course, Learn the fundamentals and Master the calculus.---------------------------------------------------------------------------Updated now with Practice Worksheets for Limits and Derivatives - The MORE you practice, the BETTER you become.---------------------------------------------------------------------------
