The following are the chapters that are not required in the No.3 Outline of Tongji Edition. If you need to refer to the 20 15 Mathematics (III) Examination Outline, you can download it from Tongji University.

Chapter III Differential Mean Value Theorem and Derivative Application

Section 7 curvature

Approximate solution of the equation in section 8

The fourth chapter indefinite integral

Section 5 Use of Integral Table

Chapter VI Application of Definite Integral

Section 3 Application of definite integral in physics (economic application of digital three test)

Chapter VII Differential Equation

Section 5 Reducible Higher Order Differential Equations

Section 9 Euler equation

Section 10 Examples of solutions of linear differential equations with constant coefficients (pay special attention to the solution of the first-order linear difference equation in the difference equation required separately by the number three, which is not available in the statistical version)

Chapter 8 Vector Space and Analytic Geometry The number three in this chapter is not necessary.

Chapter 9 Differential Methods of Multivariate Functions

Section 6 Geometric application of differential calculus of multivariate functions

Section 7 Direction Derivative and Gradient

Section 9 Taylor formula of binary function

Section 10 Least Square Method

Chapter 10 Multiple Integrals

The third quarter triple integral

The fourth quarter the application of multiple integrals

Section 5 Integration of Parameter Variables

Chapter 1 1 curve and surface integral (not required for the third question in this chapter)

Chapter 12 Infinite Series

Section 6 Uniform Convergence of Function Term Series and Basic Properties of Uniformly Convergent Series

Section 7 Fourier series

Section 8 Fourier series of general periodic functions