Author: Department of Mathematics, University of Shanghai for Science and Technology
Book number: 978-7-8 1058-762-4
Publication date: August 0, 20041
Pricing: 18.80 yuan
Directory:
Chapter 1 Some conjectures in Function and Number Theory
Section 1 Preparatory knowledge
Section 2 Functions
Several characteristics of the function in the third section
Section 4 Elementary Functions
Section 5 Some Conjectures in Number Theory
Chapter II Limit and Continuity
The limit of the first section sequence
Limit of function in the second quarter
Section 3 Infinity and Infinity
The fourth quarter limit algorithm
Section 5 Criteria for the Existence of Limit and Two Important Limits
Section 6 Continuous Points and Discontinuous Points of Functions
Chapter III Derivative and Differential
The concept of derivative in the first section
Derivative in the second quarter
The basic formula and algorithm of derivative in the third quarter
The fourth quarter higher derivative
Section 5 Differences
The fourth chapter is the application of the mean value theorem and derivative.
Section 1 Mean Value Theorem
In the second quarter, the fixed value method of undetermined formula-Roberta's rule
Monotonicity of Functions in the Third Section
Extreme value of function in the fourth quarter
Section 5 Application of Maximum, Minimum and Extreme Value
Concave direction and inflection point of the sixth section curve
Section 7 Practice of Function Graphics
Section 8 Application of Derivative in Economic Analysis —— Introduction of Marginal Analysis and Elastic Analysis
The fifth chapter indefinite integral
Section 1 The concept of indefinite integral
Basic integral formula in the second quarter
In the third quarter, the properties of indefinite integral
The fourth quarter substitution integral method
Section 5 Parts Integration
Section 6 Selected Examples
Chapter VI Definite Integral
Section 1 The concept of definite integral
In the second quarter, the properties of definite integral
In the third quarter, the relationship between definite integral and original function
In the fourth quarter, the substitution integral method of definite integral
Section 5 Partial Integral of Definite Integral
Section 6 Generalized Integral
Section 7 Application of Definite Integral
Chapter VII Infinite Series
Section 1 Basic Concepts and Properties of Infinite Series
Positive infinite series in the second quarter
Section 3 Staggered Series and Infinite Series with Arbitrary Term
Chapter VIII Differential Equation
Examples of differential equations in the first section
Basic concepts of differential equations in the second quarter
In the third quarter, first-order differential equations
Appendix 1 simple indefinite integral table
Appendix II Basic Elementary Function Diagram and Its Properties
Practice reference answers