├── .github ├── FUNDING.yml └── ISSUE_TEMPLATE │ ├── bug报告.md │ ├── 催更-.md │ └── 功能性需求.md ├── .obsidian ├── app.json ├── appearance.json ├── community-plugins.json ├── core-plugins-migration.json ├── core-plugins.json ├── graph.json ├── hotkeys.json ├── plugins │ ├── obsidian-completr │ │ ├── callout_suggestions.json │ │ ├── latex_commands.json │ │ ├── main.js │ │ ├── manifest.json │ │ ├── scanned_words.txt │ │ └── styles.css │ ├── obsidian-git │ │ ├── data.json │ │ ├── main.js │ │ ├── manifest.json │ │ └── styles.css │ └── quick-latex │ │ ├── data.json │ │ ├── main.js │ │ ├── manifest.json │ │ └── styles.css ├── publish.json ├── themes │ ├── Atom │ │ ├── manifest.json │ │ └── theme.css │ ├── Minimal │ │ ├── manifest.json │ │ └── theme.css │ └── Things │ │ ├── manifest.json │ │ └── theme.css ├── types.json ├── workspace-mobile.json └── workspace.json ├── 0. 杂项 ├── 0. 杂项.md ├── 均值不等式.md ├── 常用公式.md ├── 应试技巧.md ├── 灵光乍现.md └── 重要题目.md ├── 1-1. 函数的极限与连续 ├── 1. 函数的极限与连续.md ├── 两个重要极限.md ├── 函数极限.md ├── 函数极限的计算.md ├── 函数的连续与间断.md ├── 夹逼准则.md ├── 无穷大.md ├── 无穷小.md ├── 泰勒公式.md ├── 洛必达法则.md ├── 等价无穷小.md ├── 超实数.md └── 邻域.md ├── 1-2. 数列极限 ├── 2. 数列极限.md ├── 单调有界原则.md ├── 收敛数列的性质.md ├── 放缩法.md ├── 数列极限.md ├── 数列的相关概念.md ├── 无界变量.md ├── 极限四则运算.md └── 海涅定理（归结原则）.md ├── 1-3. 一元函数微分学 ├── 1. 概念 │ ├── 3-1. 概念.md │ ├── 导数.md │ ├── 导数的几何意义.md │ ├── 微分的概念.md │ └── 高阶导数.md ├── 2. 计算 │ ├── 3-2. 计算.md │ ├── 分段函数导数.md │ ├── 参数方程函数导数.md │ ├── 反函数导数.md │ ├── 基本求导公式.md │ ├── 复合函数导数.md │ ├── 对数求导法.md │ ├── 导数的四则运算.md │ ├── 常用高阶导数.md │ ├── 幂指函数求导法.md │ ├── 隐函数导数.md │ └── 高阶导数求导.md ├── 3. 一元函数微分学.md └── 3. 应用 │ ├── 1. 几何应用 │ ├── 作函数图像.md │ ├── 凹凸性与拐点的判别.md │ ├── 凹凸性与拐点的概念.md │ ├── 单调性与极值的判别.md │ ├── 曲率与曲率半径.md │ ├── 最值或取值范围.md │ ├── 极值点与拐点的重要结论.md │ ├── 极值的定义.md │ └── 渐近线.md │ ├── 2. 中值定理、微分等式与微分不等式 │ ├── 中值定理.md │ ├── 微分不等式.md │ └── 微分等式.md │ ├── 3-3. 应用.md │ └── 3. 物理应用 │ └── 物理应用与相关变化率.md ├── 1-4. 一元函数积分学 ├── 1. 概念 │ ├── 4-1. 概念.md │ ├── 不定积分.md │ ├── 反常积分.md │ ├── 变限积分.md │ ├── 定积分.md │ └── 瑕点.md ├── 2. 计算 │ ├── 4-2. 计算.md │ ├── Gamma函数.md │ ├── 不定积分的积分法.md │ ├── 反常积分的计算.md │ ├── 变限积分的计算.md │ ├── 基本积分公式.md │ └── 定积分的计算.md ├── 3. 应用 │ ├── 1. 几何应用 │ │ ├── 其他几何应用.md │ │ ├── 函数的平均值.md │ │ ├── 平面图形的面积.md │ │ └── 旋转体的体积.md │ ├── 2. 积分等式与积分不等式 │ │ ├── 积分不等式.md │ │ └── 积分等式.md │ ├── 3. 物理应用 │ │ └── 物理应用.md │ └── 4-3. 应用.md └── 4. 一元函数积分学.md ├── 1-5. 多元函数微分学 ├── 5. 多元函数微分学.md ├── 基本概念.md ├── 多元函数微分法则.md └── 多元函数的极值与最值.md ├── 1-6. 二重积分 ├── 6. 二重积分.md ├── 二重积分对称性.md ├── 二重积分性质.md ├── 二重积分概念.md └── 二重积分计算.md ├── 1-7. 微分方程 ├── 7. 微分方程.md ├── 一阶微分方程求解.md ├── 微分方程应用.md ├── 微分方程概念.md └── 高阶线性微分方程求解.md ├── 2-1. 行列式 ├── 1. 行列式.md ├── 余子式与代数余子式的计算.md ├── 克拉默法则.md ├── 行列式的定义与性质.md ├── 行列式的计算.md └── 重要行列式.md ├── 2-2. 矩阵 ├── 2. 矩阵.md ├── 伴随矩阵.md ├── 初等变换和初等矩阵.md ├── 矩阵方程.md ├── 矩阵的定义及基本运算.md ├── 矩阵的秩.md ├── 矩阵的迹.md ├── 矩阵的逆.md └── 等价矩阵和矩阵的等价标准型.md ├── 2-3. 向量组 ├── 3. 向量组.md ├── 向量与向量组的线性相关性.md ├── 向量组的秩.md ├── 极大线性无关组.md ├── 等价向量组.md └── 等价矩阵.md ├── 2-4. 线性方程组 ├── 4. 线性方程组.md ├── 两个方程组的公共解.md ├── 同解方程组.md ├── 非齐次线性方程组.md └── 齐次线性方程组.md ├── 2-5. 特征值与特征向量 ├── 5. 特征值与特征向量.md ├── 实对称矩阵的相似对角化.md ├── 常用矩阵的特征值与特征向量.md ├── 特征值与特征向量.md ├── 矩阵的相似.md └── 矩阵的相似对角化.md ├── 2-6. 二次型 ├── 6. 二次型.md ├── 二次型的定义与矩阵表示.md ├── 化二次型为标准形与规范形.md └── 正定二次型.md ├── LICENSE ├── README.md ├── assets ├── 1+1n_series.jpg ├── DengJiaWQX.jpeg ├── Pasted image 20240621140426.png ├── Taylor_known_formula.jpg ├── absx.jpg ├── aotu1.jpg ├── aotu2.jpg ├── aotu_2.jpg ├── approx_line_solve.jpg ├── basic_int_1.png ├── basic_int_2.png ├── bicycle.png ├── big_head.jpg ├── boundless.png ├── can2jie.jpg ├── curve_center.png ├── d_int_1.png ├── d_int_2.png ├── d_int_pol.png ├── d_int_pol_2.png ├── d_int_x.png ├── dandiao_1.jpg ├── dandiao_2.jpeg ├── deriv_hill.png ├── derivative_def.jpg ├── derivative_eg.jpg ├── derivative_vis.jpg ├── det_cal.png ├── det_cal_d3.png ├── diff_eq_1.jpg ├── diff_eq_2.jpg ├── diff_eq_cycle.png ├── diff_eq_special_1.png ├── diff_eq_special_2.png ├── e^x_div_x.png ├── eg_4.18_sol.jpg ├── eigen_form.png ├── fan2jie.jpg ├── favicon │ ├── favicon-32x32.png │ └── favicon.ico ├── fenbu_exp.png ├── fermat.jpg ├── formulas │ └── Leibniz_formula.jpg ├── fs_inequality_1.jpg ├── fs_inequality_2.jpg ├── gaussian_curve.png ├── hainie.jpg ├── important_1.jpg ├── important_2-1.jpg ├── important_2.jpg ├── int-NT.png ├── int_aprox.png ├── int_area.png ├── int_area_1.png ├── int_area_2.png ├── int_area_3.png ├── int_chrct4.png ├── int_chrct5.png ├── int_chrct6.png ├── int_force.png ├── int_lim.png ├── int_midpoint.jpg ├── int_pressure.png ├── int_sep.png ├── int_volume.png ├── int_volume_2.png ├── lagrange.jpg ├── liansan.png ├── linear_trans_def.png ├── maclaurin_1.jpg ├── maclaurin_2.jpg ├── matrix_multi.png ├── multi_chain.png ├── multi_comp.png ├── multi_comp2.png ├── multi_deriv.png ├── multi_intu.png ├── multi_mem.png ├── multi_neighbor.png ├── multi_tangent.png ├── multi_tangent2.png ├── newton_interpo.jpg ├── partial_deriv.png ├── qici1.png ├── qici2.png ├── 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