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微积分1(Calculus I)(全英)
本课程共4集 翻译完 欢迎学习

课程介绍:微积分是高等数学中研究函数的微分、积分以及有关概念和应用的数学分支,它是数学的一个基础学科,是理工科院校一门重要的基础理论课。它推动了其他学科的发展,推动了人类文明与科学技术的发展,它的作用是举足轻重的。微积分(I)是本科生的一门必修课,内容主要包括函数、极限、函数连续性、导数及其应用、积分及其应用、不定型的极限及广义积分。极限是微积分的基本概念,微分和积分是特定过程特定形式的极限。通过全英教学,学生在学会用英语获取数学知识的同时又通过学习数学掌握和运用英语,达到双赢的目的。从而培养具有国际竞争力并适应国家和社会需要的国际化人才。Calculus is the branch of mathematics that studies differentiation, integration and related concepts and applications in advanced mathematics. It is a basic subject of mathematics. It is an important basic theory course in universities of science and engineering. It has promoted the development of other disciplines and human civilization and science and technology, and its function is of great importance. Calculus (I) is a compulsory course for undergraduates. The basic requirements of the course include functions, limits, continuity of function, derivatives and their applications, integrals and their applications, the limits of indefinite forms and generalized integrals. The limit is the basic concept of calculus. Differential and integral are the limits of particular forms of a particular process.Through the teaching of English, students learn to acquire mathematical knowledge in English while mastering and using English in the process of learning mathematics to achieve a win-win goal. Therefore, we can cultivate international talents with international competitiveness and meet the needs of the state and society.

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课程列表
【第1集】模块一 Course Introduction(上)
【第2集】模块一 Course Introduction(下)
【第3集】模块二 1.2 Rigorous Study of Limits(上)
【第4集】模块二 1.2 Rigorous Study of Limits(下)
【第5集】模块二 1.3 Limit Theorems(上)
【第6集】模块二 1.3 Limit Theorems(下)
【第7集】模块二 1.4 Limits Involving Trigonometric Functions(上)
【第8集】模块二 1.4 Limits Involving Trigonometric Functions(下)
【第9集】模块二 1.5 Limits at Infinity, Infinite Limits(上)
【第10集】模块二 1.5 Limits at Infinity, Infinite Limits(中)
【第11集】模块二 1.5 Limits at Infinity, Infinite Limits(下)
【第12集】模块二 1.6 Continuity of Functions(上)
【第13集】模块二 1.6 Continuity of Functions(下)
【第14集】模块三 2.2 The Derivative(上)
【第15集】模块三 2.2 The Derivative(中)
【第16集】模块三 2.2 The Derivative(下)
【第17集】模块三 2.3 Rules for Finding Derivatives(上)
【第18集】模块三 2.3 Rules for Finding Derivatives(下)
【第19集】模块三 2.5 The Chain Rule
【第20集】模块三 2.6 Higher-Order Derivative(上)
【第21集】模块三 2.6 Higher-Order Derivative(中)
【第22集】模块三 2.6 Higher-Order Derivative(下)
【第23集】模块三 2.7 Implicit Differentiation(上)
【第24集】模块三 2.7 Implicit Differentiation(下)
【第25集】模块四 3.1 Maxima and Minima(上)
【第26集】模块四 3.1 Maxima and Minima(下)
【第27集】模块四 3.2 Monotonicity and Concavity(上)
【第28集】模块四 3.2 Monotonicity and Concavity(下)
【第29集】模块四 3.3 Local Extrema and Extrema on Open Intervals(上)
【第30集】模块四 3.3 Local Extrema and Extrema on Open Intervals(下)
【第31集】模块四 3.4 Practical Problems(上)
【第32集】模块四 3.4 Practical Problems(下)
【第33集】模块四 3.6 The Mean Value Theorem for Derivatives(上)
【第34集】模块四 3.6 The Mean Value Theorem for Derivatives(下)
【第35集】模块五 4.2 The Definite Integral(上)
【第36集】模块五 4.2 The Definite Integral(中)
【第37集】模块五 4.2 The Definite Integral(下)
【第38集】模块五 4.3 The First Fundamental Theorem of Calculus(上)
【第39集】模块五 4.3 The First Fundamental Theorem of Calculus(中)
【第40集】模块五 4.3 The First Fundamental Theorem of Calculus(下)
【第41集】模块五 4.4 The Second Fundamental Theorem of Calculus and the Method of(上)
【第42集】模块五 4.4 The Second Fundamental Theorem of Calculus and the Method of(中)
【第43集】模块五 4.4 The Second Fundamental Theorem of Calculus and the Method of(下)
【第44集】模块六 7.1 Basic Integration Rules(上)
【第45集】模块六 7.1 Basic Integration Rules(下)
【第46集】模块六 7.2 Integration by parts(上)
【第47集】模块六 7.2 Integration by parts(下)
【第48集】模块六 7.3 Some Trigonometric Integrals(上)
【第49集】模块六 7.3 Some Trigonometric Integrals(下)
【第50集】模块六 7.4 Rationalizing Substitutions(上)
【第51集】模块六 7.4 Rationalizing Substitutions(下)
【第52集】模块六 7.5 Integration of Rational Functions Using Partial Fraction(上)
【第53集】模块六 7.5 Integration of Rational Functions Using Partial Fraction(下)
【第54集】模块七 8.3 Improper Integrals: Infinite Limits of Integration(上)
【第55集】模块七 8.3 Improper Integrals: Infinite Limits of Integration(下)
【第56集】模块七 8.4 Improper Integrals: Infinite Integrands(上)
【第57集】模块七 8.4 Improper Integrals: Infinite Integrands(下)
【第58集】模块八 5.1 The Area of a plane region(上)
【第59集】模块八 5.1 The Area of a plane region(下)
【第60集】模块八 5.2 Volumes of Solids: Slabs, Disks(上)
【第61集】模块八 5.2 Volumes of Solids: Slabs, Disks(下)
【第62集】模块八 5.3 Volumes of Solids of Revolution: Shells(上)
【第63集】模块八 5.3 Volumes of Solids of Revolution: Shells(下)
【第64集】模块八 5.4 Length of a plane curve(上)
【第65集】模块八 5.4 Length of a plane curve(下)
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