Basic concepts of 8- 1 multivariate functions
8-2 partial derivative
8-3 Total Difference
Derivation rule of 8-4 multivariate composite function
Derivation formula of 8-5 implicit function
Geometric application of differential calculus of 8-6 yuan function
8-7 directional derivatives and gradients
Extreme value of 8-8 multivariate function and its solution
Taylor formula of 8-9 binary function
8- 10 least square method
Chapter 9 Multiple Integrals
Concept and properties of 9- 1 double integral
Calculation method of 9-2 double integral
9-3 triple integral
Application of 9-4 Multiple Integrals
9-5 Integral of Parameter Variables
Chapter 10 Curve Integral and Surface Integral
Curve integral of arc length from 10- 1
10-2 curve integral coordinates
10-3 green's formula and its application
Surface integral of 10-4 area
Surface integration of 10-5 coordinates
10-6 Gaussian formula? And divergence
10-7 Stokes formula circulation and curl
Chapter 11 Infinite Series
The Concept and Properties of 1 1- 1 Constant Term Series
Convergence method of 1 1-2 series
1 1-3 power series
1 1-4 function expands power series.
Application of power series expansion of 1 1-5 function
Uniform Convergence of 1 1-6 Function Term Series and Basic Properties of Uniform Convergence Series
1 1-7 Fourier series
1 1-8 Fourier series of general periodic function
Chapter 12 Differential Equation
Basic concepts of 12- 1 differential equation
12-2 differential equation with separable variables
12-3 homogeneous equation
12-4 first order linear differential equation
12-5 fully differential equation
12-6 reducible higher order differential equation
12-7 higher order linear differential equation
12-8 homogeneous linear differential equation with constant coefficients
12-9 non-homogeneous linear differential equation with constant coefficients
12- 10 Euler equation
Power series solution of 12- 1 1 differential equation
An example of solving linear differential equations with constant coefficients from 12 to 12.