1.
equation

1.
fractional equation
2.
irrational equation
Practice Problem 1

2.
Inequality

1.
Higher-order inequalities
2.
Fraction inequality
3.
Irrational inequality
Practice Problem 2

3.
Domain of inequality

1.
Domain of inequality
2.
Domain of inequality and maximum and minimum
Practice Problem 3

4.
Meaning of matrix

1.
Meaning of matrix
2.
Same matrix
Practice Problem 4

5.
Matrix operations

1.
Addition, subtraction, and multiplication of matrices
2.
Matrix multiplication
Practice Problem 5

6.
Inverse matrix and simultaneous linear equations

1.
Inverse matrix
2.
Inverse matrix and simultaneous linear equations
3.
Gaussian elimination
Practice Problem 6

7.
graph

1.
graph
2.
Graphs and matrices
Practice Problem 7

8.
Linear transformations and matrices

1.
Linear transformations and matrices
2.
Various linear transformations
Practice Problem 8

9.
Composition and inverse transformation of linear transformations

1.
Composition of linear transformations
2.
Inverse transformation of linear transformation
Practice Problem 9

10.
Linear transformations and shapes

1.
Linear transformations and coordinate planes/lines
2.
Linear transformations and domains
Practice Problem 10

11.
Meaning and operations of vectors

1.
Meaning and notation of vector
2.
Addition and subtraction of vectors
3.
Real multiple of vector
4.
position vector
Practice Problem 11

12.
Components of a vector

1.
Components of plane vectors
2.
Components of space vectors
Practice Problem 12

13.
Dot product of vectors

1.
Dot product of vectors
2.
Perpendicular and parallel to vectors
Practice Problem 13

14.
Vector equation

1.
Vector equation of a straight line
2.
Vector equations of circles and spheres
Practice Problem 14

15.
Equations of shapes in coordinate space

1.
Equation of a straight line
2.
Equation of the plane
3.
Spheres, straight lines, and planes
Practice Problem 15

16.
complex plane

1.
complex plane
2.
Addition and subtraction of complex numbers
Practice Problem 16

17.
Polar form of complex numbers

1.
Polar form of complex numbers
2.
Multiplication and division of complex numbers
3.
de Moivre's theorem
4.
Polar coordinates and polar equations
Practice Problem 17

This book is for those who want to study mathematics more broadly after studying the basics of high school mathematics.
Although this book is not strictly aligned with the 2015 revised curriculum, much of its content was previously included in the high school curriculum and forms the basis for college mathematics, so it will be helpful in the following cases:


- When you want to study various concepts of mathematics

- When you want to study in detail the basic contents such as vectors, matrices and linear transformations, graphs, complex numbers and polar coordinates, equations and inequalities, and areas of inequalities included in the career selection subjects or specialized science subjects of the 2015 revised curriculum.

- When you want to study the basic contents that form the basis of basic mathematics at university, such as vectors, matrices, and polar coordinates.