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