편입수학 공식집

[Calculus]

Ⅰ function

1. exponential and logarithmic functions

 Exponential

 Logarithm

2. trigonometric functions

 Trigonometric functions

 Inverse trigonometric functions

3. hyperbolic functions

 Hyperbolic Functions

 Inverse hyperbolic functions

Ⅱ derivative

1. extreme and continuous

 Limit of a function

 Limit of trigonometric functions

 Extreme exponential and logarithmic functions

 Continuous function

2. Derivative

 Derivative and rate of change

 Differentiation

3. The differentiation of the various functions

 Differentiation of the various functions (1)

 Various differentiation functions (2)

 n derivative

4. The application of the differentiation

 Derivatives and Graphs

 The mean value theorem

 L'Hôpital's rule

 Speed ​​and acceleration

5. Water

 Taylor series and every chlorine water

Ⅲ integration

1. indefinite integral

 Indefinite integral

 The calculation of the indefinite integral

2. The definite integral

 Definite integral

 Improper integral

Applications of integral Ⅳ

1. polar and polar equations

 Polar and polar equations

 Application of definite integral

Ⅴ water

1. infinite series

 Convergence and divergence of infinite series

 Integral test for convergence

 Comparison test

 Ratio test and the square root of n panjeongbeop

 Alternate water supply

2. The power series

 Power series

Ⅵ partial derivatives and multiple integral

1. Partial Differential

 Multivariable function

 One-way function

 Differential ago

 Implicit differentiation and the chain rule

2. The application of partial differential

 Directional derivative and longitude

 Curves and Surfaces

 It can upset the function of the Taylor series and every chlorine water

 Maximum value and Min

 Lagrange multiplier

3. multiple integral

 Multiple integral

 Double minutes in the polar coordinate system conversion and integration parameters

 Volume and track area

 Triple integration and three-dimensional polar coordinate system

 Application of double minutes

4. The shipment area and minutes

 Chapter vectors

 Rotation and divergence

 Shipments

 Area minute

[Linear algebra]

Ⅰ matrix and vector

1. Matrix

 procession

 Determinant

 Invert

2. vectors

 The vector dot product

 The vector cross product

 Space matrix

 Relationship with coefficients of equations

 Cramer's formula

3. Linear Transformation

 Linear transformation

 Diagonalization of the matrix

 Quadratic form

[Engineering Mathematics]

Ⅰ differential equations

1. Differential Equations

 Definition of a differential equation

2. Ordinary Differential Equations

 Separate variable differential equations

 Automotive type differential equations, first order linear differential equations

 Differential Equations of Bernoulli (Bernoulli)

 Tea Rica (Riccati) Differential Equations

 Fully Differential Equations

 First-higher-order differential equations

 Solutions by differentiation

3. Linear Differential Equations

 Operator

 Frog linear differential equations

 Wiese order linear differential equations

 Cauchy-Euler differential equation

4. The system of differential equations and partial differential equations

 System of differential equations

 Threshold

 Partial Differential Equations

Laplace transform Ⅱ

1. Laplace (Laplace) transform

 Present condition of the Laplace transform

 The definition of the Laplace transform

 Basic properties of Laplace transform

 Laplace transforms of special functions

 Convolution and integral equations

2. Application of the inverse Laplace

 Inverse Laplace

 Application of the Laplace transform

Ⅲ complex functions and Fourier series

1. Fourier series

 Fourier series

2. complex function

 Geukhyeongsik of complex

 Complex function

 The complex differentiation

 Complex integration

 Clean running water