MindMap Gallery Advanced Mathematics (Economics and Management)
A simple mind map for college students in advanced mathematics (economics and management), including functions, limits, continuity, etc. It’s full of useful information, friends in need should quickly collect it!
Edited at 2023-12-02 13:12:13This is a mind map about bacteria, and its main contents include: overview, morphology, types, structure, reproduction, distribution, application, and expansion. The summary is comprehensive and meticulous, suitable as review materials.
This is a mind map about plant asexual reproduction, and its main contents include: concept, spore reproduction, vegetative reproduction, tissue culture, and buds. The summary is comprehensive and meticulous, suitable as review materials.
This is a mind map about the reproductive development of animals, and its main contents include: insects, frogs, birds, sexual reproduction, and asexual reproduction. The summary is comprehensive and meticulous, suitable as review materials.
This is a mind map about bacteria, and its main contents include: overview, morphology, types, structure, reproduction, distribution, application, and expansion. The summary is comprehensive and meticulous, suitable as review materials.
This is a mind map about plant asexual reproduction, and its main contents include: concept, spore reproduction, vegetative reproduction, tissue culture, and buds. The summary is comprehensive and meticulous, suitable as review materials.
This is a mind map about the reproductive development of animals, and its main contents include: insects, frogs, birds, sexual reproduction, and asexual reproduction. The summary is comprehensive and meticulous, suitable as review materials.
High math
function
The concept of function
collection concept
Intervals and Neighborhoods
The concept of function
Several characteristics of functions
Parity
Monotonicity
cyclical
Boundedness
Inverse function, composite function
Basic elementary functions, elementary functions
Basic elementary functions, elementary functions
hyperbolic function
Commonly used economic functions and their applications
Simple interest and compound interest
Demand function, supply function and market equilibrium
Cost function, revenue function and profit function
limit and continuity
The limit of a sequence
definition
nature
limit of function
The limit of a function when the independent variable tends to infinity
The limit of a function when the independent variable tends to a finite value
nature
Infinitely Small and Infinitely Large
infinitesimal
properties of infinitesimals
gigantic
extreme algorithm
four arithmetic rules
The limit of composite functions
Limit existence criterion and two important limits
limit existence criterion
Two important limits
Extreme application - continuous compound interest
infinitesimal comparison
Function connection and discontinuity
Function continuity concept
The operation rules of continuous functions and the continuity of elementary functions
function break point
Properties of continuous functions on closed intervals
Derivatives and Differentials
Derivative concept
3 examples of concepts introduced
Definition of derivative
Left and right derivatives
derivative of function
The geometric meaning of derivatives
Basic operations and derivative formulas of derivatives
Four Arithmetic Rules for Derivatives
Derivative Rules for Composite Functions
The derivation rule for inverse functions
Derivative table (derivative formulas of constants and basic elementary functions)
Implicit function and parametric function derivation rules
Derivation rules for implicit functions
Logarithmic derivation
Derivatives of parametric functions
Differentiation and its operations
concept
calculate
The geometric significance of differentials and its application in approximate calculations
higher order derivatives
concept
calculate
Definite integral
The concept and properties of definite integrals
Examples of definite integral problems
Definition of definite integral
The geometric meaning of definite integrals
Properties of definite integrals
Basic formulas of calculus
Functions of the upper limit of integration and their derivatives
Basic formulas of calculus
Integration by Substitution Method and Integration by Parts Method of Definite Integrals
substitution method
Integration by parts
Applications of definite integrals
microelement method of definite integrals
area of plane figure
The volume of the body of revolution
Examples of the application of definite integrals in economics - finding the total function from the marginal function
Abnormal integration preliminary
Anomalous integrals over infinite intervals
Anomalous integrals of integrands with infinite discontinuities
indefinite integral
The concept and properties of indefinite integrals
The concept of primitive functions and indefinite integrals
subtopic
Basic integral formula
substitution method
The first type of substitution method (differentiation method)
The second type of substitution method
Integration by parts
Differential Mean Value Theorem and Application of Derivatives
differential mean value theorem
Rolle's theorem
Lagrange's mean value theorem
Cauchy's mean value theorem
Taylor formula
Taylor's mean value theorem
Lópida's Law and the Limit of Infinitives
0/0 type and infinite/infinite type infinitive limits
Other types of infinitive limits
Monotonicity and concavity of functions
Monotonicity
Concave-convexity and inflection point
Extreme value and maximum value of function
extreme value of function
Maximum and minimum values
function graphing
Applications of Derivatives and Differentials in Economics
optimal value problem
marginal analysis
Elasticity analysis