微积分

The research fields are calculus of single variables functions and several variables functions, space analytic geometry, series, differential equation.

通过本课程的学习，使学生掌握一元函数微积分、向量代数和空间解析几何、多元函数微积分、无究级数、常微分方程等方面的基本概念、基本理论和基本运算技能，为学习后继课程和进一步获得数学知识奠定必要的数学基础。

Taylor Formula is a very important content of mathematics analysis ,it can focally embody the soul of " approximation" of calculus. And is extensively applied in most aspects of calculus.

泰勒公式是数学分析中非常重要的内容，集中体现了微积分"逼近法"的精髓，在微积分的各个方面都有重要的应用。

I learned calculus in college, but it is all Greek to me now.

我上大学的时候学过微积分，不过现在微积分对我来说是天书。

The Research on application of optimization problem in calculous ;2. In this paper, we mainly discuss how to teach calculous , such as limit of sequence of number, Taylor expansion and Fourier expansion, by using mathematical software.

围绕微积分学习中涉及数列的极限、函数的泰勒展开式和傅立叶展开式等几个基本方面，论述如何利用数学软件mathematica进行辅助教学，达到深刻而形象的理解微积分教学中较为复杂的数学概念及数学现象的目的，从而激发学生学习兴趣，促进微积分学习。

The best advantage of the method is that it can solve the complex fractional order calculus equation which can hardly be answered by the general calculus knowledge.

该方法最大的优点是能够解决由一般的分数阶微积分知识所不能或是很难求解的复杂分数阶微积分问题，对于分数阶的钱性微积分方程也完全适用。

Using differential calculus knowledge to testify inequality, Calculus of higher mathematics is the core and calculus method of higher mathematics is typical of the whole mathematical method, the method is introduced for calculus ideas to solve the problem of finding an inequation, to make way for obtaining inequalities can be simple, the application of differential mid-value theorem and Taylor formula illustrate some of the inequality proof method.

运用微分学知识证明不等式；微积分是高等数学的核心，微积分思想方法是高等数学乃至整个数学的典型方法，微积分思想方法的引入为解决不等式证明的难题找到了突破，用来解不等式可使解题思路变得简单，文章应用微分中值定理及泰勒公式举例说明了部分不等式的证明方法。

The infinitesimal calculus is often defined as an overlapping science of the between the dialectics and constant maths,which is usually expressed in the form of the formal logic.

对微积分学科的知识结构有深入了解，就能进一步分析微积分的思想方法：微积分是变量数学，是辩证法与常量数学交叉且用形式逻辑表达的一门最早的交叉学科。

For example, in a calculus course it's not terribly difficult to memorize the formula for integration by parts for integrals. However, if you don't understand how to actually use the formula and identify the appropriate parts of the integral you will find the memorized formula worthless.

例如，你会发现通过微积分来学习微积分学是很容易的，但是，如果你不了解怎么正确地使用这些公式和区分不同的微积分，你会发现你所学的公式都是毫无用处的。

Calculous is one of the required courses for non-arts students in vocational and technical institutes. Many students have difficulties in learning Calculous because of the characteristic of the course and basic knowledge level of students, so that the situation of teaching Calculous is not optimistical in vocational and technical institutes. Hence, it is necessary to properly reform the teaching of Calculous in those institutes.

微积分学是职业技术学院非文科专业学生的必修课程，然而由于学科本身的性质以及学生的基础状况，有许多学生对微积分的学习感到困难，使得职业技术学院微积分的教学现状并不乐观，因此有必要对此类学院的微积分教学进行适当的改革。

Fractal dimension structure of the Cosmos are explored, and the mathematical foundation, which include the expressions of fractal dimension differential and calculus, regular space integral solutions of fractal dimension differential equations, the fractal calculus definitions of fractal measure as well as the measure computational equation of self-similar fractal, of fractal dimension calculus and fractal measure are given.

摘 要：探讨了宇宙分维构造的形式，给出了分维微积分及分形测度的数学基础，包括分维导数及分维微积分的表述形式、分维微分方程的规整空间积分解、分形测度的分维微积分定义及自相似分形的测度计算方程。

I didn't watch TV last night, because it .

昨晚我没有看电视，因为电视机坏了。

Since this year, in a lot of villages of Beijing, TV of elevator liquid crystal was removed.

今年以来，在北京的很多小区里，电梯液晶电视被撤了下来。