英语翻译高等数学”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

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 discussed function and graphic changes. Analytic geometry is through Descartes coordinate system, using algebra of methods study plane and space geometrical figure." Higher mathematics "the course is a higher school the public basic door. The newborn most professional are opened this course.
"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