Preface
This blog is a "MA students - Higher Mathematics" question and answer summary form.
In addition, some good information summary
I. Introduction
Second, limits and continuity
Third, differential and derivative
- What is the geometric meaning of differential and integral? , Section 1
- What is the difference, what is the difference between differential and? , Section 7
- After the original function which processes get differential function, a function of differential geometry what sense? , Section 3
- What are two characteristics differential is, how to understand? , Section 6
- How to distinguish differential differential function and function? The latter is a function of a few dollars? , Section 3
- Derivative of the function and the difference of the plot formula? , Section 4
- Seeking to understand how to guide the chain rule? , Section 2
- How to understand the derivation of the inverse function? , Section 2
Fourth, the application and the number of the differential value theorem the guide
- Say, what Fermat 's last theorem is? How to understand the image , Section 4.
- Explain why the stagnation called stagnation? Illustrate the stagnation point is not necessarily the extreme point. Section 4
- For the Bureau interval function, most likely in the value of the point where? , Section 5
- What is the Darboux Theorem? Mediated value, continuous, derivable What is the relationship? , Section 6.
- How intuitive says Ming Dabu from the geometrical theorems / physical significance?.
- Shuttle run test by saying that Ming Luoer theorem is? , Section 1.
- Mean Value Theorem Who invented it? How to understand the theory of differential value with the car speed, that is what his physical meaning is? , Section 1.
- Why Rolle's theorem is a special case of the Mean Value Theorem? , Section 2
- How to understand the Cauchy mean value theorem from geometric intuition? , Section 1.
- Understanding Cauchy mean value theorem says that two-dimensional space motion, Lagrange mean value theorem is one-dimensional motion, Lagrange mean value theorem is a special case of Cauchy Mean Value Theorem.
- Unified test set forth three theorems contain relations, exception conditions are met relations? , Section 3
- Explain who would die a few times in my entire life ... that are a few times. (Non-mathematical) , section 1
- Describe the life experience 'Hospital, Hospital's Rule of the invention process, the number of deaths from the test set forth' Hospital died several times , subsections 1
- Say, Ming Luo's Rule from the geometric intuition
- Newton explained the origin of the test interpolation historical background , Section 2.
- Simulation test inference process in the mind of Newton interpolation method, interpolation write mark notation is defined, described Newton interpolation using interpolation mark notation , sections 3-5
- Taylor formula evolved Newton interpolation process like? , Section 1
- Newton interpolation points increase and Taylor formula order to increase essentially the same **, but the difference between them is what ** , Section 2.
- How to understand and Piano remainder Lagrange remainder term? , Section 3
- is , can be calculated and defined by the Taylor formula.