Calculus book catalogue
Chapter 1 Function, Limit and Continuity
introduce
Section 1 Functions
The concept of limit in the second quarter
the third part
Arithmetic and properties of limit
Section 4 Criteria for the Existence of Limit and Two Important Limits
Section 5 Infinity and Infinity
Section 6
The Concept and Properties of Continuous Function
Section 7 Introduction to Mathematical Modeling
Section 8
Accurate expression of limit definition
Discussion on the Functions and Limitations of Reading Materials in MATLAB Environment
chapter two
Derivative and differential
introduce
Section 1 The concept of derivative instruments
Rule of Derivation of Function in Section 2
the third part
higher derivative
The derivative of implicit function in the fourth quarter
Section 5
Differential of function
Deducing reading materials with MATLAB
chapter three
Application of Mean Value Theorem and Derivative
introduce
Section 1 Mean Value Theorem
L'H?pital's law in the second quarter
the third part
Monotonicity of Functions and Convexity of Curves
Section 4 Extreme Value, Maximum Value and Minimum Value of Functions
Section 5
Functional diagram description
Section 6 Application of Derivative in Economy
The fourth chapter indefinite integral
introduce
the first paragraph
Concept and properties of indefinite integral
In the second quarter, substitution integral method
the third part
Partial integral
Searching for indefinite integral in reading materials by MAnAB
The fifth chapter definite integral
introduce
the first paragraph
Concept and properties of definite integral
Section 2 Basic Calculus Formulas
Method of substitution and integration by parts of definite integral in the third quarter
Section iv
Generalized integral
Section 5 Application of Definite Integral in Geometry
Section 6
Application of definite integral in economic analysis
Using MATLAB to find definite integral in reading materials
Chapter vi
Multivariate function calculus
introduce
Section 1 Introduction to Spatial Analytic Geometry
Section 2 Basic Concepts of Multivariate Functions
the third part
partial derivative
The fourth quarter total balance
Section 5 Composite Function Differential Method and Implicit Function Differential Method
Section 6
Extreme value of multivariate function and its solution
Section 7 Least Square Method
Section 8 Concepts and Properties of Double Integral
Section 9
Calculation of double integral
Multivariate function in reading material management environment
Chapter VII Infinite Series
introduce
the first paragraph
The concept of convergence and divergence of infinite series
Basic properties of convergent series in the second quarter
Section 3 Positive Sequence and Its Discrimination Method
Section iv
Absolute Convergence and Conditional Convergence of Series with Arbitrary Term
Section 5 power series
Section 6 Taylor formula
Section 7
Power series expansion of function
Section 8
Application of power series in approximate calculation
Taylor expansion of functions in MATLAB environment
Chapter VIII
Brief introduction of differential equation and difference equation
introduce
Section 1 Basic concepts of differential equations
In the second quarter, the differential equation of separable variables
the third part
homogeneous equation
The fourth quarter first-order linear differential equation
Section 5 Reducible Second Order Differential Equations
Section 6
linear differential equation with constant coefficients of the second order
Section 7 Application of Ordinary Differential Equation in Mathematical Modeling
Section 8
Brief introduction of difference equation
Solving differential equations with MATLAB in reading materials
Appendix 1 preparatory knowledge
First, the commonly used elementary algebraic formulas
Second, the commonly used basic triangle formula
Three, the common formula of area and volume
Appendix 2 Several Common Curves