The first chapter introduces the mathematical software package MATLAB.

Basic knowledge of 1. 1MATLAB

Symbolic calculation of 1.2MaTLAB

Chapter II Functions

2. 1 function and its properties

2.2 Elementary function

2.3 Examples and exercises

2.4 MATLAB function operation

Chapter III Restriction and Continuity

3. 1 restrictions

3.2 extreme operation

3.3 Continuity of functions

3.4 Examples and exercises

3.5 using MATLAB to find the limit

Chapter IV Derivative and Differential

4. The concept of1derivative

4.2 Deduction Law

4.3 Differential and its application in approximate calculation

4.4 Examples and exercises

4.5 run derivative operation with MATLAB

Chapter V Application of Derivatives

5. 1 robita rule

5.2 Monotonicity of Lagrangian Median Definite Function

5.3 Extreme value and maximum value of function

5.4 curvature

5.5 inflection point of function diagram

5.6 Examples and exercises

5.7 Using MATLAB to do derivative application problems

Chapter VI Indefinite Integral

6. The concept and properties of1indefinite component

6.2 Integral method of indefinite integral

6.3 Examples and exercises

Chapter VII Definite Integral

7. The concept and properties of1definite integral

7.2 Basic formula of microscopic base point

7.3 Method of Determining Integral

7.4 generalized integral

4.5 Examples and exercises

Chapter VIII Application of Definite Integral

8. Geometric application of1definite integral

8.2 Physical application of definite integral

8.3 Examples and exercises

8.4 Do the integral of unary function with MATLAB

appendix

Main references

The last of two or three volumes.

Chapter 9 Ordinary differential equations

9. The basic concept of1ordinary differential equation and the method of separating variables

9.2 First-order linear differential equations and reducible higher-order differential equations

9.3 Second Order Linear Differential Equation with Constant Coefficients

9.4 Examples and exercises

9.5 Solving differential equations with Matlab

10 vector and spatial analytic geometry

The concepts of Cartesian coordinate system and vector in 10. 1 space

Dot product and cross product of 10.2 vector

10.3 plane and straight line

10.4 space curves and surfaces

10.5 examples and exercises

10.6 Using Matlab to do vector operation and space surface.

Chapter 1 1 Differential calculus of multivariate functions

Limit and continuity of multivariate function 1 1. 1

1 1.2 partial derivative

1 1.3 total difference

Differential method of 1 1.4 multivariate composite function and geometric application of partial derivative

Extreme value of 1 1.5 multivariate function

1 1.6 examples and exercises

1 1.7 Find the extreme value of partial derivative and multivariate function with Matlab.

Chapter 12 Integral calculus of multivariate functions

The concept and calculation of 12. 1 double integral

Application example of 12.2 double integral

12.3 examples and exercises

12.4 do multiple integrals with Matlab

Chapter 65438 +03 series

13. 1 series and its convergence and divergence

13.2 power series

13.3 examples and exercises

Realization of 13.4 series operation with Matlab

Chapter 14 Laplace transform

The concept of Laplace transform of 14. 1

Operational Properties of Laplace Transform of 14.2

Inverse transformation of 14.3 Laplace transform

14.4 Laplace transform and its inverse transform application

14.5 examples and exercises

14.6 finding laplace transform with Matlab

Appendix a summary table of laplace transform

Appendix b answers to exercise questions

Main references