第十三章 多元函数的极限和连续
提供学校: | 西安电子科技大学 |
院系: | 数学与统计学院 |
课程编号: | MS203003 |
学分: | 5.0 |
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1.1 13.1平面点集 |
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1.2 13.2多元函数的极限和连续1 |
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1.3 13.2多元函数的极限和连续2 |
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2.1 14.1偏导数和全微分的概念---偏导数 |
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2.2 14.1偏导数和全微分的概念---全微分 |
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2.3 14.2复合函数偏导数的链式法则 |
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2.4 14.3隐函数求偏导数 |
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2.5 14.4-14.5切线法平面、切平面法线 |
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2.6 14.6方向导数和梯度 |
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3.1 15.1无条件极值 |
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3.2 15.2条件极值 |
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4.1 16.1单个方程的隐函数存在定理 |
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4.3 16.2方程组的隐函数存在定理、函数相关 |
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5.1 含参变量积分1 |
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5.2 含参变量积分2 |
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6.1 含参变量的反常积分 |
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6.2 Beta函数、Gamma函数 |
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7.1 多元积分学的概念和性质 |
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8.1 二重积分的直角坐标计算 |
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8.2 二重积分的极坐标计算 |
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8.3 二重积分的一般变换 |
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8.4 三重积分的直角坐标计算 |
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8.5 三重积分的柱面、球面坐标计算 |
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8.6 重积分的应用 |
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9.1 第一类曲线积分 |
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9.4 第二类曲面积分 |
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10.1 格林公式 |
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10.2 路径无关 |
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10.3 高斯公式 |
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10.4 斯托克斯公式 |
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