《高等数学》课程教学实施一体化设计方案333（Integrated design scheme of higher mathematics teaching implementation 333）

《高等 数学 数学高考答题卡模板高考数学答题卡模板三年级数学混合运算测试卷数学作业设计案例新人教版八年级上数学教学计划 》课程教学实施一体化设计 方案 气瓶 现场处置方案 .pdf气瓶 现场处置方案 .doc见习基地管理方案.doc关于群访事件的化解方案建筑工地扬尘治理专项方案下载 333（Integrated design scheme of higher mathematics teaching implementation 333） 《高等数学》课程教学实施一体化设计方案333(Integrated design scheme of higher mathematics teaching implementation 333) Books are like our friends, happy or sad every date -- Yu Qian Syllabus for the implementation of Advanced Mathematics (1) in adult and higher vocational education (2005.9) First, the course description: 1, the purpose and requirements of learning: Higher mathematics is the basic course of the major of science and Engineering (including comprehensive science and higher vocational education) in radio and TV University. It is an indispensable mathematical tool for learning the professional theory in the future, and is an important basic course required The course consists of one variable function calculus and ordinary differential equation. The number of class hours is 90. The unified assessment of the whole province should be carried out, and the qualified standard should meet the requirements of the ordinary higher vocational education 2, assessment instructions Test form: closed form for examination * volume fraction: 100 points, accounting for 80% of the completion of the subject The usual tasks include: higher mathematics homework and evaluation issued by the provincial radio and TV University, including four assignments, each time 25 points, a total of 100 points, accounting for 20% of the completion of the semester The types of final examination papers are: fill in the blanks, single choice questions, calculation questions and application questions 4. Teaching media The 99 year edition of advanced mathematics for science and engineering at The Open University of China is a new textbook revised and revised on the basis of the 93 year edition The object is college science and engineering majors students, its characteristics are: 1, long distance, convenient self-study; multimedia; 3 emphasizes the basic operation training Two. Syllabus and requirements Chapter 1 function Check knowledge points: 1. function concept: function concept, domain definition, function value, piecewise representation of function The properties of 2. functions: monotonicity, parity, boundedness and periodicity of functions 3. elementary functions: basic elementary functions, composite functions, elementary functions 4. establish functional relations Assessment requirements: 1. understand the concept of function, understand piecewise function, master the definition domain of function and the solution of function value 2. know the monotonicity, parity, boundedness and periodicity of functions, and grasp the method of judging the parity of the function 3. understand the concept of composite functions and elementary functions; master the main properties and graphs of six basic elementary functions 4. functional relations for simple application problems The second chapter, limit and continuity Check knowledge points: 1. limit: sequence limit, function limit 2. limit four operations 3. infinitesimal quantity and infinite quantity: infinitesimal and infinite quantity concept, infinitesimal quantity The nature of 4. two important limits The continuity of 5. functions: functions are continuous at one point, left and right continuous, continuous function Breakpoint and its classification, continuity of elementary functions, properties of continuous function on closed interval Assessment requirements: 1. the concept of limit of sequence and limit of function 2. grasp the limit of the four algorithms for the limit 3. understand the concept of infinitesimal, the relation between infinitesimal and infinite quantity, the property of infinitesimal 4. understand two important limits, and use the two important limits to find the function limit 5. understand the definition of function continuity and the concept of function discontinuity point; The continuous interval and the discontinuity point of the function are calculated, and the type of discontinuity point is also distinguished; Knowing the continuity of elementary functions and knowing some properties of continuous functions on closed intervals (maximum, minimum and intermediate value theorems) The third chapter, derivative and differential Check knowledge points: The concept of 1. derivatives: derivative definition, derivative geometric meaning, function continuity and derivable relationship 2. derivative operation: the four operations and combinations of the derivative and derivative of elementary elementary functions Function derivation rule, implicit function derivation rule, logarithmic derivation method, derivation rule of function represented by parameter and higher order derivative 3. differential: differential concept, differential operation, differential basic formula table, differential four operations, first order differential form invariance Assessment requirements: 1. understand the concept of derivative; Understand the geometric meaning of derivative, The tangent and normal equations of the curve are obtained; the relation between the derivative and continuity is known, and the concept of higher order derivative is known 2. memorize the basic formula of derivative, master the four operation rules of derivative, and the derivation rule of compound function Grasp the differential method of implicit function and master the solution of the two derivative of the explicit function Logarithmic derivative method will be used to find the first derivative of the function expressed by the parameter 3. understand the concept of differentiation (differential = dy = y'dx) Memorize the basic formula of differential and master the four arithmetic rules of differentiation Knowing the invariance of first order differential form The fourth chapter is the application of derivative Check knowledge points: 1. mean value theorem: the narration of Rolle theorem, Lagrange mean value theorem and Cauchy mean value theorem 2. Luo's Law: the limit of "type" and "type" Monotonicity and extreme value of 3. functions: monotonicity criterion of function, extremum of function and its solution, 4.: the concept of convex concave curve, method, criterion of concave convex curve inflection point method, inflection point, horizontal and vertical asymptote 5. maximum value and minimum value problem Assessment requirements: 1. understand the conditions and conclusions of Rolle's theorem and Lagrange's mean value theorem, and prove the simple inequality with Lagrange's theorem 2. master the use of lobita "law of demand" and "type" infinitive limit 3. understand the concepts of stationary point, extreme point and extreme value Necessary conditions for the existence of differentiable function extremum Knowing the difference and relation between extreme point and stagnation point The method of finding the monotone interval, extreme value and extreme point (including discrimination) of function by first derivative 4 understand the concepts of curve, concave and convex, inflection point, etc. The two order derivative is used to calculate the curve concave and convex interval (including discrimination), and the inflection point of the curve is obtained Will the demand curve horizontal asymptote and vertical asymptote 5. grasp the method of solving the maximum and minimum of some simple practical problems, mainly geometric problems Indefinite integral in the fifth chapter Check knowledge points: 1. indefinite integral concept: primitive function, indefinite integral concept, the nature of indefinite integral 2. indefinite integral method: basic integral formula table, the first element integral method, second change element integral method, part integral method, rational function integral Assessment requirements: 1. indefinite integral concept Understand the concepts of primitive function and indefinite integral, understand the nature of indefinite integral, the relation between indefinite integral and derivative (differential) 2. indefinite integral method Memorize the integral basic formula, master the first change element integral method and the parts integral method Grasp the integral method of second variables (type) The integral of a simple rational fractional function (denominator is a polynomial of two degree) The sixth chapter definite integral and its solution Check knowledge points: 1. definite integral concept: definite integral definition, definite integral geometry meaning, definite integral property, 2. existence theorem of primitive function The calculation of 3. integral: Newton Leibniz formula, changing integral method, integral integral method 4. infinite integral The application of 5. definite integral: to seek the area of plane curve enclosing figure, to calculate the volume of rotation body (rotation around axis), the arc length of plane curve Assessment requirements: 1. definite integral concept Understanding the definition, geometric meaning and definite integral property of definite integral 2. existence theorem of primitive function Understanding the existence theorem of primitive function, knowing the definite integral of variable upper limit, will change the derivative of definite integral on the upper limit Calculation of 3. definite integral Master the Newton Leibniz formula, and skillfully use it for integral calculation Master element integration method and partial integration method 4. infinite integral To understand the concept of infinite integral convergence, it will calculate simple infinite integral Application of 5. definite integral Definite integral is used to calculate the area (Cartesian coordinate system) and the volume of the rotator generated by the rotation of the coordinate plane The seventh chapter ordinary differential equation Check knowledge points: 1. basic concepts: differential equations and their orders, solutions (special solutions, general solutions), initial conditions 2. first order differential equations: variable separable differential equations, homogeneous differential equations, first order linear differential equations (homogeneous or non-homogeneous) 3. two order linear differential equation: the structure of solution, the general solution of the two order linear homogeneous differential equation with constant coefficients, the special solution and general solution of the two order constant coefficient linear non-homogeneous differential equation (special free term) Assessment requirements: 1. understand differential equations, order, solution (special solution, general solution), linear, homogeneous, non-homogeneous, initial conditions and other concepts 2. first order differential equation: the solution to the differential equation with variable separation Master the solution of first order linear (homogeneous or non-homogeneous) differential equations 3. understand the concept of characteristic equation and characteristic root The structure of solutions of two order linear differential equations Master the general solution of the two order linear homogeneous differential equation with constant coefficients -- the characteristic root method The solution of the special solution of the two order linear constant coefficient non-homogeneous equation (the free term is, and is polynomial) -- the undetermined coefficient method and the general solution are given First pages, 4 pages Books are like our friends, happy or sad every date -- Yu Qian