〉〉 The concept is an ambiguous concept.
〉〉 Understanding is important, but memorization is also important
〉〉 Concept vs.
Problem, problem vs.
concept

Common Mathematics 1

I.
polynomial
001.
Addition, subtraction, and multiplication of polynomials
002.
Polynomial multiplication formula
003.
Division and assembly of polynomials
004.
Identities and the method of undetermined coefficients
005.
Remainder theorem and factor theorem
{Special Lecture} 1.
Remainder theorem
006.
Factorization
007.
Factoring complex expressions
{Special Lecture} 2.
Factorization method analysis

II.
Equations and Inequalities
008.
complex number
009.
conjugate complex number
010.
Powers of complex numbers and square roots of negative numbers
011.
Solving linear and quadratic equations
{Special Lecture} 3.
The absolute value sign must be removed
{Special Lecture} 4.
Now you can graph the absolute value function.
012.
Discriminant of quadratic equations, relationship between roots and coefficients
013.
Relationship between quadratic functions and quadratic equations
014.
Maximum and minimum of quadratic function
015.
Solutions to cubic and quartic equations
{Special Lecture} 5.
How to graph a polynomial function
016.
Relationship between roots and coefficients of cubic equations
{Special Lecture} 6.
Imaginary root ω of the cubic equation x³=1
017.
Systems of linear and quadratic equations
018.
Common roots and indefinite equations
019.
Properties and solutions of inequalities
020.
Quadratic inequality
{Special Lecture} 7.
Quadratic function graphs, equations, and inequalities
021.
simultaneous quadratic inequalities
{Special Lecture} 8.
Gaussian symbols must be removed

III.
Permutations and combinations
022.
Number of cases
023.
permutation
024.
mixture

IV.
procession
025.
Matrices and their operations
026.
Properties of matrix operations

Common Mathematics 2

V.
Equation of a shape
{Special Lecture} 9.
Essential Basic Shapes Summary
027.
distance between two points
028.
Internal division of line segments
029.
Equation of a straight line
030.
Positional relationship between two lines
031.
Distance between a point and a line
032.
Equation of a circle
033.
Positional relationship between two circles
034.
Positional relationship between circles and lines
035.
Parallel and symmetrical translations
{Special Lecture} 10.
Parallel and symmetrical translations

VI.
Sets and Propositions
036.
Sets and elements
037.
subset
038.
Set operations
039.
Set operation laws
040.
Number of elements in a finite set
041.
Propositions and Conditions
042.
Converse and contrapositive of a proposition, reductio ad absurdum
{Special Lecture} 11.
The flower of mathematics, proof
043.
Necessary and sufficient conditions
{Special Lecture} 12.
Clear understanding of necessary and sufficient conditions
044.
absolute inequality

Ⅶ.
function
045.
function
{Special Lecture} 13.
Meet one-on-one correspondence at meetings
046.
composite function
{Special Lecture} 14.
How to graph a composite function
047.
Inverse function
048.
Rational and fractional formulas
049.
Partial fractions and Gabi's Li
050.
rational function
051.
Irrational function

[Friendly Commentary (Book within a Book)]

Why is "Complete High School 1st Grade Common Math in One Book" so good?

1.
Compressed Mathematics Concepts Book
Mathematical concepts and formulas are more than enough in this one book.
This is because it contains the core content of common high school mathematics by thoroughly examining several math concept books.
Furthermore, the authors' earnest desire to ensure that mathematical concepts and formulas are understood is well expressed in the meticulously written glossary of terms and supplementary explanations, written in fine print.

2.
Jumping power and first-class secret
There are clear limitations to achieving high scores on math tests using only the basic concepts contained in math textbooks or math concept books.
This book contains all the special know-how gained through extensive mathematical research and question analysis over a very long period of time.
These special secrets, 《Jump Power》 and 《1st Grade Secret》, are essential items that you must have to reach the top ranks of math.

3.
Special Lecture
Special lectures are located throughout the book to help you understand difficult concepts and topics that are not easily understood or explained in detail in any book, such as the Gaussian symbol, the absolute value symbol, and how to graph composite functions.
You will experience a thrilling new approach and perspective on mathematics through special lectures that are sometimes described in such detail that it is almost reckless.

4.
Check textbook questions + check required types
We thoroughly analyzed all the problems in 13 different math textbooks for Common Math 1 and 2, and included as many textbook problems as possible to ensure that students fully understand basic math concepts and practice applying those concepts to problems.
Furthermore, this book includes essential types of problems that are guaranteed to appear in midterms and finals, so you can completely cover common math concepts and problems for first-year high school students in just one volume.