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微积分导论(一) 台湾新竹“清华大学”
- 内容简介:
- 本课程授课教师颜东勇教授以严谨的课程内容、清晰的讲解剖析、工整漂亮版书及风趣的上课气氛，开设微积分课程于台湾清华大学获得超棒评价，即使教授坚持要讲ε-δ，但仍然阻止不了学生的热情。想要36小时轻松入门微积分、想要学习到严谨的数学，今年夏天一定要上「微积分导论(一)」，听听勇哥怎么说！
- 价格:
- 免费
课程介绍
| WEEK1: Limit and Continuous function | 01极限概念简介 | 01极限概念简介 |
| WEEK1: Limit and Continuous function | 02-01极限的定义 | 02-01极限的定义 |
| WEEK1: Limit and Continuous function | 02-02极限的定义（续） | 02-02极限的定义（续） |
| WEEK1: Limit and Continuous function | 03-01例题讲解 | 03-01例题讲解 |
| WEEK1: Limit and Continuous function | 03-02例题讲解（续） | 03-02例题讲解（续） |
| WEEK1: Limit and Continuous function | 04例题讲解（续） | 04例题讲解（续） |
| WEEK1: Limit and Continuous function | 05例题讲解（续） | 05例题讲解（续） |
| WEEK1: Limit and Continuous function | 06左极限与右极限 | 06左极限与右极限 |
| WEEK1: Limit and Continuous function | 07极限唯一性 | 07极限唯一性 |
| WEEK1: Limit and Continuous function | 08极限四则运算（加法、常数倍） | 08极限四则运算（加法、常数倍） |
| WEEK1: Limit and Continuous function | 09极限四则运算（加法、常数倍）（续） | 09极限四则运算（加法、常数倍）（续） |
| WEEK1: Limit and Continuous function | 10极限四则运算（乘法） | 10极限四则运算（乘法） |
| WEEK1: Limit and Continuous function | 11极限四则运算（乘法）（续） | 11极限四则运算（乘法）（续） |
| WEEK1: Limit and Continuous function | 12极限四则运算（多项式、倒数） | 12极限四则运算（多项式、倒数） |
| WEEK1: Limit and Continuous function | 13极限四则运算（倒数、除法） | 13极限四则运算（倒数、除法） |
| WEEK1: Limit and Continuous function | 14连续和不连续的定义 | 14连续和不连续的定义 |
| WEEK2: Continuity and Differentiation | 15连续-例题讲解 | 15连续-例题讲解 |
| WEEK2: Continuity and Differentiation | 16连续-四则运算、例题 | 16连续-四则运算、例题 |
| WEEK2: Continuity and Differentiation | 17连续-合成函数 | 17连续-合成函数 |
| WEEK2: Continuity and Differentiation | 18夹挤定理 | 18夹挤定理 |
| WEEK2: Continuity and Differentiation | 19三角函数极限 | 19三角函数极限 |
| WEEK2: Continuity and Differentiation | 20三角函数极限（续） | 20三角函数极限（续） |
| WEEK2: Continuity and Differentiation | 21三角函数极限（续） | 21三角函数极限（续） |
| WEEK2: Continuity and Differentiation | 22三角函数极限-例题讲解 | 22三角函数极限-例题讲解 |
| WEEK2: Continuity and Differentiation | 23中间值定理与极值定理 | 23中间值定理与极值定理 |
| WEEK2: Continuity and Differentiation | 24导函数定义、例题讲解 | 24导函数定义、例题讲解 |
| WEEK2: Continuity and Differentiation | 25例题讲解(续) | 25例题讲解(续) |
| WEEK2: Continuity and Differentiation | 26微分与连续；微分运算(例题) | 26微分与连续；微分运算(例题) |
| WEEK2: Continuity and Differentiation | 27微分四则运算-加法、常数倍 | 27微分四则运算-加法、常数倍 |
| WEEK2: Continuity and Differentiation | 28微分四则运算-乘法 | 28微分四则运算-乘法 |
| WEEK3: Differentiation and the Mean Value Theorem | 29幂法则1、例题讲解 | 29幂法则1、例题讲解 |
| WEEK3: Differentiation and the Mean Value Theorem | 30微分四则运算-倒数 | 30微分四则运算-倒数 |
| WEEK3: Differentiation and the Mean Value Theorem | 31幂法则2；微分四则运算-商法则 | 31幂法则2；微分四则运算-商法则 |
| WEEK3: Differentiation and the Mean Value Theorem | 32例题讲解、二次微分 | 32例题讲解、二次微分 |
| WEEK3: Differentiation and the Mean Value Theorem | 33链锁律-例题讲解 | 33链锁律-例题讲解 |
| WEEK3: Differentiation and the Mean Value Theorem | 34例题讲解(续) | 34例题讲解(续) |
| WEEK3: Differentiation and the Mean Value Theorem | 35三角函数微分 | 35三角函数微分 |
| WEEK3: Differentiation and the Mean Value Theorem | 36三角函数微分(续) | 36三角函数微分(续) |
| WEEK3: Differentiation and the Mean Value Theorem | 37三角函数链锁律、例题讲解 | 37三角函数链锁律、例题讲解 |
| WEEK3: Differentiation and the Mean Value Theorem | 38例题讲解(续) | 38例题讲解(续) |
| WEEK3: Differentiation and the Mean Value Theorem | 39隐函数微分-例题讲解 | 39隐函数微分-例题讲解 |
| WEEK3: Differentiation and the Mean Value Theorem | 40例题讲解(续) | 40例题讲解(续) |
| WEEK3: Differentiation and the Mean Value Theorem | 41幂法则有理数版、例题 | 41幂法则有理数版、例题 |
| WEEK3: Differentiation and the Mean Value Theorem | 42均值定理-前置 | 42均值定理-前置 |
| WEEK4: Mean value theorem | 43洛尔(Rolle’s)定理 | 43洛尔(Rolle’s)定理 |
| WEEK4: Mean value theorem | 44均值定理 | 44均值定理 |
| WEEK4: Mean value theorem | 45均值定理-例题 | 45均值定理-例题 |
| WEEK4: Mean value theorem | 46递增递减函数-定义及例题 | 46递增递减函数-定义及例题 |
| WEEK4: Mean value theorem | 47递增递减函数性质3.2.4 | 47递增递减函数性质3.2.4 |
| WEEK4: Mean value theorem | 48递增递减函数性质3.2.5 | 48递增递减函数性质3.2.5 |
| WEEK4: Mean value theorem | 49递增递减函数-例题1 | 49递增递减函数-例题1 |
| WEEK4: Mean value theorem | 50递增递减函数-例题2 | 50递增递减函数-例题2 |
| WEEK4: Mean value theorem | 51局部极值-定义 | 51局部极值-定义 |
| WEEK4: Mean value theorem | 52局部极值-定理 | 52局部极值-定理 |
| WEEK4: Mean value theorem | 53临界点-例题 | 53临界点-例题 |
| WEEK4: Mean value theorem | 54一阶导函数检验法 | 54一阶导函数检验法 |
| WEEK4: Mean value theorem | 55例题讲解 | 55例题讲解 |
| WEEK4: Mean value theorem | 56二阶导数测试 | 56二阶导数测试 |
| WEEK5: Applications of the first and second derivatives and Integral | 57绝对极值 | 57绝对极值 |
| WEEK5: Applications of the first and second derivatives and Integral | 58凹凸性 | 58凹凸性 |
| WEEK5: Applications of the first and second derivatives and Integral | 59反曲点 | 59反曲点 |
| WEEK5: Applications of the first and second derivatives and Integral | 60例题讲解 | 60例题讲解 |
| WEEK5: Applications of the first and second derivatives and Integral | 61数列极限的定义 | 61数列极限的定义 |
| WEEK5: Applications of the first and second derivatives and Integral | 62数列极限的四则运算 | 62数列极限的四则运算 |
| WEEK5: Applications of the first and second derivatives and Integral | 63定积分的定义 | 63定积分的定义 |
| WEEK5: Applications of the first and second derivatives and Integral | 64定积分的定义（续） | 64定积分的定义（续） |
| WEEK5: Applications of the first and second derivatives and Integral | 65定积分的例题 | 65定积分的例题 |
| WEEK5: Applications of the first and second derivatives and Integral | 66定积分的例题（续） | 66定积分的例题（续） |
| WEEK5: Applications of the first and second derivatives and Integral | 67定积分的性质 | 67定积分的性质 |
| WEEK5: Applications of the first and second derivatives and Integral | 68定积分的性质（续） | 68定积分的性质（续） |
| WEEK5: Applications of the first and second derivatives and Integral | 69微积分第一基本定理 Part1 | 69微积分第一基本定理 Part1 |
| WEEK6: Integrations and Fundamental Theorem of Calculus | 70微积分第一基本定理 Part2 | 70微积分第一基本定理 Part2 |
| WEEK6: Integrations and Fundamental Theorem of Calculus | 71微积分第一基本定理 Part3 | 71微积分第一基本定理 Part3 |
| WEEK6: Integrations and Fundamental Theorem of Calculus | 72微积分第一基本定理 Part4 | 72微积分第一基本定理 Part4 |
| WEEK6: Integrations and Fundamental Theorem of Calculus | 73微积分第一基本定理 Part5 | 73微积分第一基本定理 Part5 |
| WEEK6: Integrations and Fundamental Theorem of Calculus | 74微积分第一基本定理 Part6 | 74微积分第一基本定理 Part6 |
| WEEK6: Integrations and Fundamental Theorem of Calculus | 75微积分第一基本定理例题 | 75微积分第一基本定理例题 |
| WEEK6: Integrations and Fundamental Theorem of Calculus | 76微积分第二基本定理 | 76微积分第二基本定理 |
| WEEK6: Integrations and Fundamental Theorem of Calculus | 77微积分第二基本定理例题 | 77微积分第二基本定理例题 |
| WEEK6: Integrations and Fundamental Theorem of Calculus | 78面积计算 | 78面积计算 |
| WEEK6: Integrations and Fundamental Theorem of Calculus | 79面积计算（续） | 79面积计算（续） |
| WEEK6: Integrations and Fundamental Theorem of Calculus | 80面积计算（续） | 80面积计算（续） |
| WEEK6: Integrations and Fundamental Theorem of Calculus | 81不定积分与变数变换法 | 81不定积分与变数变换法 |
| WEEK6: Integrations and Fundamental Theorem of Calculus | 82不定积分与变数变换法（续） | 82不定积分与变数变换法（续） |
| WEEK7: Areas and volumes from definite integrals | 83更多面积计算 | 83更多面积计算 |
| WEEK7: Areas and volumes from definite integrals | 84旋转体体积 方法一 Part1 | 84旋转体体积 方法一 Part1 |
| WEEK7: Areas and volumes from definite integrals | 85旋转体体积 方法一 Part2 | 85旋转体体积 方法一 Part2 |
| WEEK7: Areas and volumes from definite integrals | 86旋转体体积 方法二 Part1 | 86旋转体体积 方法二 Part1 |
| WEEK7: Areas and volumes from definite integrals | 87旋转体体积 方法二 Part2 | 87旋转体体积 方法二 Part2 |
| WEEK7: Areas and volumes from definite integrals | 88反函数 | 88反函数 |
| WEEK7: Areas and volumes from definite integrals | 89反函数 例题与微分 | 89反函数 例题与微分 |
| WEEK8: The transcendental functions Ⅰ | 90介绍自然对数 Part1 | 90介绍自然对数 Part1 |
| WEEK8: The transcendental functions Ⅰ | 91介绍自然对数 Part2 | 91介绍自然对数 Part2 |
| WEEK8: The transcendental functions Ⅰ | 92介绍自然对数 Part3 | 92介绍自然对数 Part3 |
| WEEK8: The transcendental functions Ⅰ | 93介绍自然对数 Part4 | 93介绍自然对数 Part4 |
| WEEK8: The transcendental functions Ⅰ | 94自然对数之微分 Part1 | 94自然对数之微分 Part1 |
| WEEK8: The transcendental functions Ⅰ | 95自然对数之微分 Part2 | 95自然对数之微分 Part2 |
| WEEK9: The transcendental functions Ⅱ | 96介绍自然指数函数 Part1 | 96介绍自然指数函数 Part1 |
| WEEK9: The transcendental functions Ⅱ | 97介绍自然指数函数 Part2 | 97介绍自然指数函数 Part2 |
| WEEK9: The transcendental functions Ⅱ | 98介绍自然指数函数 Part3 | 98介绍自然指数函数 Part3 |
| WEEK9: The transcendental functions Ⅱ | 99自然指数函数之微积分 | 99自然指数函数之微积分 |
| WEEK9: The transcendental functions Ⅱ | 100任意实数次方 | 100任意实数次方 |
| WEEK9: The transcendental functions Ⅱ | 101任意实数次方之微积分 | 101任意实数次方之微积分 |
| WEEK9: The transcendental functions Ⅱ | 102反三角函数 sin cos | 102反三角函数 sin cos |
| WEEK9: The transcendental functions Ⅱ | 103反三角函数 tan cot | 103反三角函数 tan cot |
| WEEK9: The transcendental functions Ⅱ | 104反三角函数 sec csc | 104反三角函数 sec csc |
| WEEK 10: The techniques of integration | 105 分部积分(1) | 105 分部积分(1) |
| WEEK 10: The techniques of integration | 106 分部积分(2) | 106 分部积分(2) |
| WEEK 10: The techniques of integration | 107 分部积分(3) | 107 分部积分(3) |
| WEEK 10: The techniques of integration | 108 三角函数恒等式之积分技巧 | 108 三角函数恒等式之积分技巧 |
| WEEK 10: The techniques of integration | 109 三角代换法(1) | 109 三角代换法(1) |
| WEEK 10: The techniques of integration | 110 三角代换法(2) | 110 三角代换法(2) |
| WEEK 10: The techniques of integration | 111 三角代换法(3) | 111 三角代换法(3) |
| WEEK 10: The techniques of integration | 112 部分分式(1) | 112 部分分式(1) |
| WEEK 10: The techniques of integration | 113 部分分式(2) | 113 部分分式(2) |
| WEEK 10: The techniques of integration | 114 部分分式(3) | 114 部分分式(3) |
| Week 11: Sequences Ⅰ | 115 完全公设(1) | 115 完全公设(1) |
| Week 11: Sequences Ⅰ | 116 完全公设(2) | 116 完全公设(2) |
| Week 11: Sequences Ⅰ | 117 递增递减数列 | 117 递增递减数列 |
| Week 11: Sequences Ⅰ | 118 数列极限(1) | 118 数列极限(1) |
| Week 11: Sequences Ⅰ | 119 数列极限(2) | 119 数列极限(2) |
| Week 11: Sequences Ⅰ | 120 数列极限(3) | 120 数列极限(3) |
| Week 11: Sequences Ⅰ | 121 数列极限(4) | 121 数列极限(4) |
| Week 11: Sequences Ⅰ | 122 数列极限(5) | 122 数列极限(5) |
| Week 11: Sequences Ⅰ | 123 罗必达(1) | 123 罗必达(1) |
| Week 11: Sequences Ⅰ | 124 罗必达(2) | 124 罗必达(2) |
| Week 11: Sequences Ⅰ | 125 罗必达(3) | 125 罗必达(3) |
| Week 11: Sequences Ⅰ | 126 罗必达(4) | 126 罗必达(4) |
| Week 12: Sequences Ⅱ | 127 瑕积分(1) | 127 瑕积分(1) |
| Week 12: Sequences Ⅱ | 128 瑕积分(2) | 128 瑕积分(2) |
| Week 12: Sequences Ⅱ | 129 瑕积分(3) | 129 瑕积分(3) |
| Week 12: Sequences Ⅱ | 130 瑕积分(4) | 130 瑕积分(4) |
| Week 12: Sequences Ⅱ | 131 瑕积分(5) | 131 瑕积分(5) |
| Week 12: Sequences Ⅱ | 132 瑕积分(6) | 132 瑕积分(6) |
| Week 12: Sequences Ⅱ | 133 瑕积分(7) | 133 瑕积分(7) |
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