01.
Operation of polynomials
1.
Addition and subtraction of polynomials
2.
Multiplication of polynomials and multiplication formulas
3.
Division of polynomials
Practice Problems (step A, B, C)

02.
Identity and Remainder Theorem
1.
identity
2.
Remainder theorem
Practice Problems (step A, B, C)

03.
Factorization
1.
Factoring formula
2.
Factoring complex expressions
3.
Factoring higher-order equations using the factoring theorem
Practice Problems (step A, B, C)

04.
complex number
1.
Meaning of complex numbers
2.
Properties of complex numbers
3.
square root of a negative number
Practice Problems (step A, B, C)

05.
Properties of quadratic equations
1.
Solution to quadratic equation
2.
Discriminant of quadratic equation
3.
Relationship between roots and coefficients
Practice Problems (step A, B, C)

06.
Application of quadratic functions
1.
Relationship between quadratic functions and quadratic equations
2.
The relationship between the graph of a quadratic function and the position of a straight line
3.
Maximum and minimum of quadratic function
Practice Problems (step A, B, C)

07.
Higher-order equations
1.
cubic equation
2.
quartic equation
Practice Problems (step A, B, C)

08.
simultaneous equations
1.
simultaneous linear equations
2.
Quadratic equation with two unknowns
3.
simultaneous quadratic equations
Practice Problems (step A, B, C)

09.
linear inequality
1.
simultaneous linear inequalities
2.
Linear inequalities with absolute value symbols
Practice Problems (step A, B, C)

10.
Quadratic inequality
1.
Relationship between quadratic functions and quadratic inequalities
2.
simultaneous quadratic inequalities
Practice Problems (step A, B, C)

11.
Number of cases
1.
Law of Agreement
2.
The law of multiplication
Practice Problems (step A, B, C)

12.
permutation
1.
permutation
2.
Permutations that satisfy the condition
Practice Problems (step A, B, C)

13.
mixture
1.
mixture
Practice Problems (step A, B, C)

14.
procession
1.
Meaning of matrix
2.
Addition, subtraction, and multiplication of matrices
3.
Matrix multiplication
Practice Problems (step A, B, C)

Quick answer check

Features of this book

Textbooks that reflect the changing curriculum
- Students entering high school after 2025 will either learn unnecessary content (content to be deleted) due to deletions, moves, and additions in the new curriculum if they study with existing textbooks, or they will learn textbooks that lack content that needs to be learned (content to be added).
But the fountain of mathematics perfectly reflects the changing curriculum.

Textbooks optimized for academy lectures
- The book, "The Fountain of Mathematics," is a collection of the author's passion from 20 years of teaching experience and the know-how he gained from teaching at EBS for over 10 years. It reflects the opinions and know-how he heard from teachers in the academy field, and focuses on the flow and difficulty of the content so that teachers can teach comfortably.

A textbook that builds confidence in math
- It is designed to help you easily understand the principles of mathematics through detailed explanations of concepts, and to build confidence in mathematics by focusing on problems likely to appear on school exams.