Ⅰ.
Exponential and logarithmic functions
1.
jisoo
Concept Check / Basic Concept Questions
01.
Definition of square root
02.
Properties of square roots
03.
Exponent Laws - Number Calculations
04.
Exponent Laws - Calculating Expressions Expressed in Letters (1)
05.
Exponent Laws - Calculating Expressions Expressed in Letters (2)
06.
Exponent Law - Natural Number Conditions
07.
Relationship between large and small
08.
Application of the Law of Exponents - Transforming Expressions
09.
Applying the Law of Exponents - Real Life
Descriptive questions
Highest difficulty problem

2.
log
Concept Check / Basic Concept Questions
01.
Definition of log
02.
Properties of Logarithms - Numerical Calculations
03.
Properties of logarithms - Evaluating expressions expressed in letters
04.
Utilizing the properties of logs
05.
Using Logs - Blank Inference
06.
Definition of common logarithm
07.
Using Common Logarithms - Numerical Substitution
08.
Using Common Logarithms - Numerical Comparison
09.
Applications of Common Logarithms - Integer and Fractional Parts
Descriptive questions
Highest difficulty problem

3.
Graphs of exponential and logarithmic functions
Concept Check / Basic Concept Questions
01.
Properties and function values ​​of exponential functions
02.
Length and area of ​​figures in the graph of an exponential function
03.
Parallel and symmetrical translation of the graph of an exponential function (1)
04.
Parallel and symmetrical translation of the graph of an exponential function (2)
05.
Maximum and minimum of exponential function - given range
06.
Maximum and minimum of exponential function - when the exponent is a quadratic equation
07.
Maximum and minimum of exponential functions - arithmetic and geometric means
08.
Properties and function values ​​of logarithmic functions
09.
Length and area of ​​shapes in the graph of a logarithmic function
10.
Parallel and symmetrical translation of the graph of a logarithmic function (1)
11.
Parallel and symmetrical translation of the graph of a logarithmic function (2)
12.
Maximum and minimum of logarithmic function - when the base is quadratic
13.
Maximum and minimum of logarithmic function - substitution
14.
Relationship between graphs of exponential and logarithmic functions
15.
Area of ​​figures in graphs of exponential and logarithmic functions
16.
The relationship between exponential and logarithmic functions
Descriptive questions
Highest difficulty problem

4.
Applications of exponential and logarithmic functions
Concept Check / Basic Concept Questions
01.
Exponential Equations - Numerical Calculations
02.
Exponential Equations - Substitution
03.
Exponential Inequalities - Numerical Calculations
04.
Exponential Inequalities - Substitution
05.
Logarithmic Equations - Numerical Calculations
06.
Logarithmic Equations - Substitution
07.
Logarithmic Inequalities - Numerical Calculations
08.
Logarithmic Inequality - Substitution
09.
Application of exponential and logarithmic equations
10.
Exponential and logarithmic equations and discriminants
11.
Application of exponential and logarithmic inequalities
12.
Exponential and logarithmic inequalities and discriminants
13.
Applications of Exponential and Logarithmic Functions - Graphs
14.
Applications of Exponential and Logarithmic Functions - Real Life
15.
Applications of Exponential and Logarithmic Functions - Counting Numbers
Descriptive questions
Highest difficulty problem

Ⅱ.
Trigonometric functions
1.
Trigonometric functions
Concept Check / Basic Concept Questions
01.
Arc length and area of ​​a sector
02.
Definition of trigonometric functions
03.
Graphs of trigonometric functions
04.
Period and maximum and minimum of trigonometric functions
05.
Properties of trigonometric functions
06.
Relationships between trigonometric functions
07.
Trigonometric maximum and minimum - substitution
08.
Trigonometric Equations and Inequalities - Numerical Calculations and Graphing
09.
Trigonometric equations and inequalities - discriminant or quadratic function
10.
Applications of trigonometric functions
Descriptive questions
Highest difficulty problem

2.
Applications of trigonometric functions
Concept Check / Basic Concept Questions
01.
Law of Signs
02.
The law of sines and the circumcircle of a triangle
03.
Law of Sines and Proportions
04.
Application of the law of signs
05.
Law of cosines
06.
Variations of the law of cosines
07.
Application of the law of cosines
08.
Law of sines and law of cosines
09.
Triangular decision
10.
Determining Triangles - The Law of Sines and Cosines
11.
Area of ​​a triangle - radius of circumcircle
12.
Area of ​​a square
13.
Maximum and minimum of a triangle
Descriptive questions
Highest difficulty problem

Ⅲ.
sequence
1.
Arithmetic and geometric sequences
Concept Check / Basic Concept Questions
01.
General term of an arithmetic sequence
02.
Arithmetic mean
03.
Applications of Arithmetic Sequences - Figures, Graphs
04.
Sum of an arithmetic sequence - formula calculation
05.
Sum of Arithmetic Sequences - Real Life
06.
Sum and general term of arithmetic sequence
07.
General term of geometric sequence
08.
geometric mean
09.
Application of geometric sequences
10.
Sum of a geometric sequence - formula calculation
11.
Sum of Geometric Sequences - Real Life
12.
Sum and general term of geometric sequence
13.
Sums and general terms of various sequences
Descriptive questions
Highest difficulty problem

2.
sum of a sequence
Concept Check / Basic Concept Questions
01.
Definition and properties of sigma
02.
Sigma formula
03.
Sigma and Arithmetic and Geometric Sequences
04.
Sigma and the general term of the sequence
05.
Using Sigma - Rules in Numbers
06.
Applications of Sigma - Rules in Graphs and Shapes
07.
Sum of a sequence in fraction form
Descriptive questions
Highest difficulty problem

3.
mathematical induction
Concept Check / Basic Concept Questions
01.
Inductive definition of arithmetic and geometric sequences
02.
Finding a sequence from the inductive definition of the sequence
03.
Inductive definition of various sequences
04.
Application of the inductive definition of a sequence - graphs and shapes
05.
Mathematical induction - proving equations
06.
Mathematical induction - Proving inequalities
Descriptive questions
Highest difficulty problem

Mock tests for each unit to prepare for school exams
1st Ⅰ-1.
jisoo
2nd time Ⅰ-2.
log
3rd time Ⅰ-3.
Graphs of exponential and logarithmic functions
4th Ⅰ-4.
Applications of exponential and logarithmic functions
5th Ⅱ-1.
Trigonometric functions
Episode 6 II-2.
Applications of trigonometric functions
7th Ⅲ-1.
Arithmetic and geometric sequences
Episode 8 III-2.
sum of a sequence
9th Ⅲ-3.
mathematical induction