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统计学院微积分I II课程中英文简介Calculus 课程代码:120014A/120024ACourse Code:120014A/120024A课程名称:微积分I IICourse Name:Calculus I II学 时:64Periods:64学 分:4Credits:4考核方式:考试Assessment:Examination先修课程:无Preparatory Courses:None微积分是我校经济、管理类专业的一门必修课,为二学期课程。通过本课程的学习,使学生掌握微积分学的基本概念、基本理论及基本运算技能,逐步培养学生抽象概括问题的能力、逻辑推理能力、空间想象能力和比较熟练的运算能力,培养学生综合运用所学知识去分析和解决有关实际问题的能力,为学生学习后续课程和进一步获得数学知识奠定必要的数学基础。本课程的主要内容包括: 函数、极限与连续、导数与微分、中值定理与导数的应用、不定积分、定积分、无穷级数、多元函数微积分学、微分方程、差分方程。Calculus is an important two-semester basic compulsory for economics and management professional in our university. Though the studying of this course, students should maser basic concepts, basic theory and basic computing skills of calculus. The course can cultivate students ability of abstracting general problems, logical reasoning, spatial imagination and skilled computing. In addition, the course can cultivate students the ability to analyze and solve practical problems though using their knowledge learnt, and lay a basic for students to study relevant courses and further to acquire mathematical knowledge.The content of the course includes: functions, limits and continuity, derivative and differential mean value theorem and the application of derivatives, indefinite integral, definite integral, infinite series, multi-function calculus, differential equations, difference equations.微积分课程中英文简介Calculus课程代码:120033ACourse Code:120033A课程名称:微积分Course Name:Calculus学 时:48Periods:48学 分:3Credits:3考核方式:考试Assessment:Examination先修课程:无Preparatory Courses:None微积分是我校经济、管理类专业的一门重要基础必修课。通过本课程的学习,使学生掌握微积分学的基本概念、基本理论及基本运算技能。培养学生综合运用所学知识去分析和解决有关实际问题的能力,为学生学习有关专业课程和进一步获得数学知识奠定必要的数学基础。本课程的内容包括:函数、极限与连续、导数与微分、中值定理与导数的应用、不定积分。Calculus is an important basic compulsory for economics and management professional in our university. Though the studying of this course, students should maser basic concepts, basic theory and basic computing skills of calculus. The course can cultivate students the ability to analyze and solve practical problems though using their knowledge learnt, and lay a basic for students to study relevant courses and further to acquire mathematical knowledge.The content of the course includes: functions, limits and continuity, derivative and differential mean value theorem and the application of derivatives, indefinite integral.线性代数课程中英文简介Linear Algebra课程代码:120043ACourse Code:120043A课程名称:线性代数Course Name:Linear Algebra学 时:48Periods:48学 分:3Credits:3考核方式:考试Assessment:Examination先修课程:微积分Preparatory Courses:Calculus本课程是我校本科经济、管理类专业数学课中三门最重要的基础课之一,为一学期课程。通过本课程的学习,学生不仅能够获得线性代数的基本知识,而且能够得到“两个基本训练”即:代数学基本方法的训练、线性代数基本计算的训练;同时培养和训练了学生运用数学方法分析和解决问题的能力,扩展了学生的数学知识,为进一步学习有关专业课程提供必要的数学基础。本课程的内容包括:行列式(行列式的定义、性质和按行(列)展开、克莱姆法则),矩阵(矩阵运算、逆矩阵、分块矩阵、初等矩阵与初等变换、矩阵的秩),线性方程组与向量空间(欧氏空间),矩阵的特征值与特征向量,二次型(用配方法和正交变换法化二次型为标准形、正定二次型)。This course is one of the most important undergraduate basic courses of economics and management professional math in our university. Students can not only get a basic knowledge of linear algebra, and can obtain “two basic training”: the training about algebra basic methods and the training about basic knowledge of linear algebra. Meanwhile, the course will culture and train the ability of students using mathematics analyze and solve problems and expand the mathematical knowledge, as well as provide the necessary mathematical foundation to further learn relevant courses. The content of this course include: determinant (the definition, nature and by row (column) Expand, Cramers rule), matrix (matrix operations, inverse matrix, block matrix, elementary matrix with elementary transformation, rank of matrix), linear equations and vector space (Euclidean space), matrix eigenvalue and vector, the second type (with the Method and orthogonal transformation of the standard quadratic form, positive definite quadratic form). 线性代数课程中英文简介Linear Algebra I课程代码:120053ACourse Code:120053A课程名称:线性代数Course Name:Linear Algebra学 时:48Periods:48学 分:3Credits:3考核方式:考试Assessment:Examination先修课程:微积分Preparatory Courses:Calculus本课程是我校本科经济、管理类专业数学课中三门最重要的基础课之一,为一学期课程。通过本课程的学习,学生不仅能够获得线性代数的基本知识,而且能够得到“两个基本训练”即:代数学基本方法的训练、线性代数基本计算的训练;同时培养和训练了学生运用数学方法分析和解决问题的能力,扩展了学生的数学知识,为进一步学习有关专业课程提供必要的数学基础。本课程的内容包括:行列式(行列式的定义、性质和按行(列)展开、克莱姆法则),矩阵(矩阵运算、逆矩阵、分块矩阵、初等矩阵与初等变换、矩阵的秩),线性方程组与向量空间(欧氏空间),矩阵的特征值与特征向量,二次型(用配方法和正交变换法化二次型为标准形、正定二次型)。This course is one of the most important undergraduate basic courses of economics and management professional math in our university. Students can not only get a basic knowledge of linear algebra, and can obtain “two basic training”: the training about algebra basic methods and the training about basic knowledge of linear algebra. Meanwhile, the course will culture and train the ability of students using mathematics analyze and solve problems and expand the mathematical knowledge, as well as provide the necessary mathematical foundation to
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