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所在平台: Udemy |
课程主页: https://www.udemy.com/course/calculus-1-pre-calculus/
课程评论：没有评论
**Coursera 课程总结：微积分一（从零开始，循序渐进，动画教学）** 本课程旨在帮助您成为微积分一领域的专家。通过生动的动画、详尽的视频讲解、扎实的数学证明、图像化展示以及数百个带详细解答的练习题，您将全面掌握微积分一的核心概念。 **课程亮点：** * **内容充实：** 总时长 42.5 小时，包含 59 个章节，370 多个讲座，涵盖 327 个知识点，利用 325 个图表进行辅助说明。 * **海量练习：** 提供 556 个已解决的数值问题，并附有完整解答，助您巩固学习。 * **动画教学：** 课程全程采用精美的动画设计，使抽象的数学概念更加直观易懂，学习过程高效有趣。 * **精心设计：** 舒适的背景设定，让您长时间学习而不易疲劳。 * **教学严谨：** 讲师花费了整整一年时间精心打磨此课程。 **课程内容概览：** 本课程系统讲解了微积分一的各项基础和进阶知识，包括： * **函数部分：** 函数定义域与值域、反函数、垂直/水平/有序对测试、函数图像、函数变换、抛物线、反函数抛物线、圆的圆心与半径、弧度和角度。 * **极限部分：** 极限的定义、三角函数极限、无穷极限、单侧/双侧极限、多元函数极限、连续与间断、渐近线（垂直/水平）、函数的“洞”。 * **导数部分：** 点斜式、斜截式、标准方程形式、切线与法线、导数基本法则（链式法则、幂法则、积法则、商法则）、三角函数导数、反三角函数导数、双曲函数导数、反双曲函数导数、复合函数导数、隐函数微分、对数与指数函数规则、对数与指数函数微分。 * **其他重要概念：** 夹逼定理、建模与方程求解。 **适用人群：** 本课程是高中生和大学生的理想选择，特别是那些希望全面系统地学习微积分一知识的学生。
Be a master of calculus 1. Learn Calculus 1 through animation ,The course includes videos explanation with basics, graphical and mathematical proofs. It carries hundreds of numerical practice problems with complete solutions. The lectures are appealing, fancy (graphic designing), fast and take less time to walk you through the content. A prefect choice for students who take high school and college.Why I want you to join this course?It carries 42.5 hours content59 Sections370+ lectures327 areas that have been included325 Figures and tables556 solved numerical problems with complete solutionsAnimation has been used throughout the courseSuitable background (Neither very sharp nor very dark)It took me full year to complete this courseList of content:Function Domain & Range Inverse function Vertical line test Horizontal line test Ordered pair test Graphing of function Transformation of function Parabola Inverse parabolic function Circle Center and Radius of a circle Radian and Degree of a circle Least squares method Least square lines/Regression lines Limit Limit of Trigonometric functions Limit of infinity One-sided limit Two-sided limit Limit of multi variable functions Continuity & Discontinuity Asymptote Vertical Asymptote Horizontal Asymptote Hole Point-slope form of the equation Slope-intercept form of the equation Standard form of the equation Tangent and normal lines Derivative Rule Chain Rule Power Rule Product Rule Quotient Rule Derivative of Trigonometric functions Inverse Trigonometric functions Hyperbolic functions Inverse hyperbolic functions Composite functions Implicit Differentiation Logarithmic and exponential Rules Logarithmic and exponential differentiation Squeeze Theorem Modeling and solving the equations
