편입수학의 정석 - 편입수학 공식집

Popflow Labs

Contains ads

About this app

This app is dedicated to core transfer math concepts and formulas for transfer students. Organized by subject, chapter, and subtopic, it provides formulas, concept summaries, simple examples, and key points for quick review. Use it for pre- and post-lecture review, commuting memorization, or as a pre-exam checklist.

■ Recommended for:

Transfer students who want to quickly review transfer mathematics

Students who want to organize lecture content by focusing on formulas

N-year students/current students who understand the concepts but struggle with formula application

■ Current Structure

Differential Calculus

#1 Various Functions: Trigonometric Functions / Inverse Trigonometric Functions / Exponential Functions / Hyperbolic Functions

#2 Differentiation: Differentiation Coefficients / Differentiation of Various Functions

#3 Series: Taylor Series / Maclaurin Series

Integral Calculus

#1 Integration: Indefinite Integrals / Substitution Integrals / Partial Integration / Integrals of Fractional Functions / Integrals of Trigonometric Functions / Trigonometric Substitution Integrals

#2 Definite Integrals: Properties of Definite Integrals / Wallis Formula / Piecewise Quadrature / Leibniz Theorem / Simpson Formula

#3 Singular Integrals: Infinite Integration Intervals / Infinite Integrals

#4 Applications of Definite Integrals: Area of ​​Surfaces / Length of a Curve / Definite Integrals and Volume / Surface Area of ​​Solids of Revolution / Pappus's Theorem

#5 Polar Coordinates: Definition of Polar Coordinates / Graph of Polar Equations / Slope of Tangent Lines / Applications of Definite Integrals

Linear Algebra

#1 Matrices: Definition of Matrices / Various Matrices / Determinants / Inverse Matrices / Coefficients of Matrices

#2 Vectors and Spatial Geometry: Definition and Operations of Vectors / Inner and Outer Products / Scalar Triples / Equations of Lines and Planes / Orthogonal Projections of Vectors

#3 Vector Spaces: Definition of Vector Spaces / Basis and Dimensions / Row, Column, and Solution Spaces / Subspaces

#4 Eigenvalues ​​and Diagonalization: Definition and Properties of Eigenvalues ​​/ Diagonalization Possibility / Powers of Matrices / Jordan Standard Form / Minimal Polynomials / Gram–Schmidt / Quadratic Forms

#5 Linear Mapping: Definition and Properties / Matrix Representation / Basis Transforms / Image and Kernel / Dimension Theorem / Relationship between Similar Transformations and Diagonalization