3-1罗尔定理(Rolle's theorem)

3-2拉格朗日中值定理(Lagrange's mean value theorem)

2-11隐函数的导数(Implicit differentiation)

4-3凑微积分法(Integration by patchwork differential)

视频观前须知

1-2反三角函数(Inverse trigonometric functions)

2-9函数的微分(Differential)

2-8函数的线性化(Linearization of a function)

1-22无穷小量阶的比较(Comparison of the orders of infinitesimals)

4-2直接积分法(Method of integrating directly)

3-4洛必达法则(L'Hospital's rule)

3-15牛顿切线求根法(Newton's method for finding roots by tangents)

5-15伽马函数与斯特林公式(The gamma function and Stirling's formula)

1-23极限计算中的等价替换(Equivalent replacement in limit calculation)

4-5换元积分法(Integration by substution)

2-4函数可导与连续的关系(Relationship between derivability and continuity)

0-1之间的小数为什么比0-∞之间的整数多？

4-7有理函数的积分(Integration of rational functions)

2-14导数与微分全章总结（2）(Summary of Chapter Two (2))

6-1直角坐标下平面区域的面积(Areas of plane regions in rectangular coordinates)

2-10函数值的微分估计(Estimating with differentials)