求英文大神翻译高数目录大纲!第七章 微分方程　　 第一节 微分方程的基本概念　　 第二节 可分离变量的微分方程　　 第三

Chapter 7 Differential Equations
Section 1 Basic concept of differential equations
Section 2 Differential equations of separable variables
Section 3 Homogeneous equations
Section 4 First order linear differential equations
Section 5 Reducible high order differential equations
Section 6 High order linear differential equations
Section 7 Homogeneous linear differential equations with constant coefficients
Section 8 Nonhomogeneous linear differential equations with constant coefficients
Section 9 Cauchy–Euler equation
Section 10 Sample solutions of linear differential equations with constant coefficients
Chapter 8 Analytic geometry of space and Vector algebra
Section 1 Vector and its linear operations
Section 2 Scalar product,inner product and triple product
Section 3 Surface and its equation
Section 4 Curve in space and its equation
Section 5 Plane in space and its equation
Section 6 Line in space and its equation
Chapter 9 Multivariable Calculus and its application
Section 1 Basic concept of multivariable function
Section 2 Partial derivative
Section 3 Total derivative
Section 4 Derivative of a multivariable function
Section 5 Formula for differentiating implicit functions
Section 6 Geometric application of multivariable calculus
Section 7 Directional derivative and gradient
Section 8 Maxima and minima of multivariable function
Section 9 Taylor's theorem for binary functions
Section 10 Least squares
Chapter 10 Multiple integral
Section 1 Concept of double integral and its calculation
Section 2 Methods of calculating double integral
Section 3 Triple Integral
Section 4 Application of multiple integral
Section 5 Parameter-dependent integral
Chapter 11 Integral on curve and surface (这章的东西我不熟)
Chapter 12 Infinite Series
Section 1 Concept and property of infinite series
Section 2 Convergence tests for infinite series
Section 3 Power series
Section 4 Power series expansion
Section 5 Application of power series expansion
Section 6 Uniform convergence of power series expansion and the basic property of uniform convergent series
Section 7 Fourier series
Section 8 Fourier series of general periodic function