感谢好心人能够翻译成正确的英文解析 拜托！ 因为我需要一个基本的senior maths course description
高等数学”这门课程的主要内容是微积分、空间解析几何和初等微分方程。微积分学包含微分学和积分学，它是以函数的极限概念为基础所建立的基本理论和计算方法，它讨论函数和图形的变化。解析几何是通过笛卡儿坐标系，用代数的方法研究平面和空间的几何图形。“高等数学”这门课程是高等学校中一门的公共基础课。新生的大部分专业都开设这门课程。
“高等数学”课程影响和涉及的专业非常多。它为工科学生学好其它后继的学科基础课和专业课提供了有力的工具和数学基础；它是工科学生深入学习其它数学课程的基础。管理科学和文科现在也开设“文科高等数学”课程。学习“高等数学”可以培养学生的抽象思维能力和逻辑推导能力。掌握近现代技术科学，高等数学是必备的基础理论知识。现在研究生考试的课目中大部分专业需考“高等数学”这门课程，有力地证明了“高等数学”这门课程的地位。
第一章 函数与极限
本章首先学习函数及相关概念，并介绍函数的基本性质和常见初等函数；
接着讨论数列、函数的极限，包括极限定义的各种形式和求几种不同形式极限的常用方法；
然后介绍无穷小量和无穷大量，包括无穷小量的比较；
最后说明函数的连续性，并介绍用连续函数的性质求解一些常见问题的方法
26学时
第二章 导数与微分
本章主要介绍两个重要的基本概念：导数与微分。
导数反映了函数相对于自变量变化的快慢程度；
微分刻画了当自变量有微小变化时，函数变化的近似值。
本章主要利用极限这个工具来研究导数与微分
12学时
第三章 微分中值定理
与导数的应用 本章研究中值定理和导数在几何方面、函数性态（单调性、极值、凸凹性、拐点、渐近线等）方面、求不定式极限方面、近似计算等方面的应用
20学时
第四章 不定积分
本章主要介绍不定积分的基本概念、性质，给出常见基本积分公式和积分表，并介绍三种常用的积分方法：换元积分法、分部积分法、有理函数积分法
14学时
第五章 定积分
本章主要介绍定积分的基本概念、性质，给出微积分基本公式，并介绍定积分的换元法和分部积分法
12学时
第六章 定积分的应用
本章主要讨论了用定积分理论来分析和解决一些几何、物理问题中的一种常用方法——元素法，并用此方法给出定积分在几何、物理问题上的常见结论
10学时
第七章 空间解析几何
与向量代数 本章主要介绍了向量、数量积、向量积、曲面、空间曲
线、平面、空间直线的相关概念和运算
18学时
第八章 多元函数微分法及其应用
本章重点掌握多元函数的概念、二重极限的概念及其与一元函数极限的区别；多元函数连续、偏导数存在和可微的概念及三者之间的关系；偏导数与全微分的计算；空间曲线的切线和法平面、曲面的切平面和法线；多元函数的极值和条件极值；方向导数和梯度的概念和计算
30学时
第九章 重积分
本章主要介绍二重积分和三重积分的概念、性质、计算方法及它们的一些具体应用
16学时
第十章 曲线积分与曲面积分
本章主要是对曲线积分和曲面积分进行详细研究，阐明有关这两种积分的概念、性质及应用22学时
第十一章 无穷级数
本章主要介绍常数项级数的概念和性质，幂级数的相关性质和应用
26学时
第十二章 微分方程
本章主要介绍微分方程的基本概念，几类一阶微分方程的求解方法，线性微分方程解的性质，可降阶方程的求解方法，并简单介绍如何利用微分方程解决实际问题
34学时
"The higher mathematics course influence and involves professional much. It for engineering students to learn other subsequent discipline basic course and specialized course provides powerful tools and mathematical foundation, It was engineering students further study other course of mathematics foundation. Management science and arts now also offer "liberal arts of higher mathematics course. Learning to "higher mathematics" can cultivate students' abstract thinking ability and logical derivation ability. Mastering modern science and technology, the higher mathematics is an essential basic theoretical knowledge. Now most of the student in the examination subjects to examination professional "advanced mathematics" this course, strongly proves the "higher mathematics" this course position.
The first chapter function and limit
This chapter learn first function and relevant concepts, and introduce the function of the basic properties and common elementary function,
Then discuss sequence, function limit, including limit definition of various forms and ask several different forms limit the commonly used method,
Then introduce infinitely small and large infinitely small amounts of comparison, including infinite,
Finally the continuity of the function is proved by continuous function, and introduce the nature of solving the common questions method
26 hours
The second chapter derivative and differential
This chapter introduces two important basic concept: derivative and differential.
Derivative reflects the relative to the independent variable changes function responds degree;
Differential depict when very slight variations, independent variable () function changes the approximate.
This chapter of limit this tool to study the derivative and differential
12 hours
The third chapter mid-value theorem
With the application of derivative research of this chapter mean-value theorem and derivative in geometry, function sex state (monotonicity, extreme value, and convexity-concavity kneepoints, relation, etc, o infinitive limit, approximate calculation of application
20 hours
The fourth chapter indefinite integral
This chapter introduces the basic concept and indefinite integral nature, are common basic integral formulas and ut2004, and introduces three common integration method: change yuan integral method, the inisial method, a rational function integral method
14 hours
The fifth chapter definite integral
This chapter introduces the basic concept of definite integral calculus, properties, given, and introduce the basic formula of the definite integral of change yuan method and the inisial method
12 hours
The sixth chapter of the definite integral of application
This chapter discusses with the definite integral theory to analyze and solve problems in some geometrical and physical a common method -- element method and the use of this method are definite integral in the geometry, physics on the question of the common conclusion
10 hours
Chapter 7 space analytic geometry
Vectors and this chapter introduces vector, quantity deposition, vector product, curved surface, space curve
Line and plane, spatial straightness related concepts and operations
18 hours
Chapter 8 multivariate function differential method and its application
This chapter master multivariate function key concept, double limit the concept and the difference with unary function limit, Multivariate function is continuous and partial derivative existence and the concept of differentiable and their relationship; Partial derivative and complete differential calculation, Space curve of tangent plane, and the law of the curved tangent plane and normal, Multivariate function of extreme value and conditional extreme value, Directional derivative and gradient concepts and calculation
30 hours
Chapter 9 heavy points
This chapter introduces double integral and triple integral of the concept, nature, calculation methods and some of their specific applications
16 classes
Chapter 10 of curvilinear integral and surface integral
This chapter is mainly to the curvilinear integral and surface integral study in detail to explain how these two integral concepts, properties and application of 22 hours
Chapter 11 an infinite series
This chapter introduces constants of the concept and character, series of power series related properties and applications
26 hours
Chapter 12 differential equation
This chapter introduces the basic concept of differential equation, several types of the first order differential equations solving method, linear differential equation solution properties can be reduced order equation, the solution method, and simple introduce how to solve practical problems by using differential equation
34 hours
...拜托! 因为我需要一个基本的senior maths course description
Higher mathematics "this course is main content calculus, space analytic geometry and elementary differential equation. Calculus include differential calculus and integral calculus, it is in function limit is based upon the concepts have established the basic theory and calculation method, it ...
用英语介绍自己的家庭带翻译
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