作者：杜瑞瑾,董高高,杨洁,主编
页数：269
出版社：江苏大学出版社
出版日期：2018
ISBN：9787568409599
电子书格式：pdf/epub/txt
内容简介
本书为全英文教材，主要内容形成以函数、极限、连续、导数、积分、级数、微分方程等为明线，以简单经济函数模型、复利和连续复利、边际、弹性、经济优化模型等为暗线的课程体系，突出微积分的基本方法的理论学习及经济应用。
目录
Chapter 8 Infinitive series
8.1 The concepts and characters of infinite series
8.1.1 The concepts of constant term progression
8.1.2 The convergence and divergence of infinite series
8.1.3 The characters of convergent series
Exercises
8.2 Positive series and its convergence test
8.2.1 The basic characters of positive series
8.2.2 The comparison test of positive series
8.2.3 d’Alembert method of positive series
8.2.4 The root test of positive series
Exercises
8.3 Arbitrary term progression
8.3.1 Alternating series and Leibniz Principle
8.3.2 The absolute value method of arbitrary term progression
Exercises
8.4 Power series
8.4.1 Function series
8.4.2 Power series and its convergent interval
8.4.3 The properties of power series
Exercises
8.5 Unfold functions into power series
8.5.1 Taylor series
8.5.2 The method to unfold functions into power series
Exercises
Summary
Quiz
Exercises
Chapter 9 Differential equations
9.1 Basic concepts of differential equation
Exercises
9.2 First-order differential equation
9.2.1 Separable differential equation
9.2.2 Homogeneous differential equation
9.2.3 First-order linear differential equation
9.2.4 Bernoulli equation
Exercises
9.3 Reducible high-order differential equation
9.3.1 The formy(“~=f(x)
9.3.2 The form y”= f(x,y’)
9.3.3 The formy”=f(y,y’)
Exercises
9.4 High-order linear differential equation
9.4.1 The property and structure of solution of second-order linear differential
equation
9.4.2 The property and structure of solution of high-order linear differential
equation
Exercises
9.5 Second-order linear differential equation with constant coefficients
9.5.1 Second-order homogeneous linear differential equation with constant
8.1 The concepts and characters of infinite series
8.1.1 The concepts of constant term progression
8.1.2 The convergence and divergence of infinite series
8.1.3 The characters of convergent series
Exercises
8.2 Positive series and its convergence test
8.2.1 The basic characters of positive series
8.2.2 The comparison test of positive series
8.2.3 d’Alembert method of positive series
8.2.4 The root test of positive series
Exercises
8.3 Arbitrary term progression
8.3.1 Alternating series and Leibniz Principle
8.3.2 The absolute value method of arbitrary term progression
Exercises
8.4 Power series
8.4.1 Function series
8.4.2 Power series and its convergent interval
8.4.3 The properties of power series
Exercises
8.5 Unfold functions into power series
8.5.1 Taylor series
8.5.2 The method to unfold functions into power series
Exercises
Summary
Quiz
Exercises
Chapter 9 Differential equations
9.1 Basic concepts of differential equation
Exercises
9.2 First-order differential equation
9.2.1 Separable differential equation
9.2.2 Homogeneous differential equation
9.2.3 First-order linear differential equation
9.2.4 Bernoulli equation
Exercises
9.3 Reducible high-order differential equation
9.3.1 The formy(“~=f(x)
9.3.2 The form y”= f(x,y’)
9.3.3 The formy”=f(y,y’)
Exercises
9.4 High-order linear differential equation
9.4.1 The property and structure of solution of second-order linear differential
equation
9.4.2 The property and structure of solution of high-order linear differential
equation
Exercises
9.5 Second-order linear differential equation with constant coefficients
9.5.1 Second-order homogeneous linear differential equation with constant
