Ⅰ.
Limits and continuity of functions
1.
limit of a function
Concept Check / Basic Concept Questions
01.
limit of a function
02.
Left and right limits of a function
03.
Properties of limits of functions
04.
Limit of a newly defined function
05.
0/0 limit - rational
06.
0/0 limit - irrational formula
07.
Limits of the form ∞/∞
08.
Limits of the form ∞-∞
09.
Limit of the form ∞×0
10.
Determination of undetermined coefficients using factorization
11.
Determination of undetermined coefficients using vitrification
12.
Determining a function equation using extreme values
13.
The relationship between the limits of functions
14.
Application of limits of functions - length
15.
Application of the limit of a function - area
16.
Limit Applications of Functions - Newly Defined Functions
Descriptive questions
Highest difficulty problem

2.
continuity of functions
Concept Check / Basic Concept Questions
01.
Continuity and discontinuity of functions
02.
Properties of continuous functions
03.
Determination of truth using the properties of continuous functions
04.
Continuity and graph of functions
05.
Continuation of newly defined functions
06.
Intermediate price arrangement
07.
Application of continuous functions
Descriptive questions
Highest difficulty problem

Ⅱ.
differential
1.
Differentiation coefficients and derivatives
Concept Check / Basic Concept Questions
01.
Average rate of change
02.
Definition of instantaneous rate of change and derivative
03.
Determination of the modified differential coefficient
04.
Differentiation of polynomial functions
05.
Differentiation of a function using the differential coefficient: h → 0
06.
Differentiation of a function using the differential coefficient: x → a
07.
Differentiation of the product of functions
08.
Differentiability and continuity
09.
Determination of undetermined coefficients using differentiability
10.
Applications using differentiability
11.
Problem solving using differential calculus
Descriptive questions
Highest difficulty problem

2.
Applications of derivatives
Concept Check / Basic Concept Questions
01.
Equation of a tangent line - given a point on the curve
02.
Equation of a tangent line - when a point outside the curve is given
03.
Equation of a tangent line - when the slope is given
04.
Application of the equation of a tangent line - length
05.
Application of the tangent line equation - area
06.
Increase and decrease of functions
07.
Maxima, minima, and differentiation of functions
08.
Determining the maximum and minimum of a function
09.
Application of maxima and minima of functions
10.
Maximum, minimum, and differentiation of functions
11.
Utilizing the maximum and minimum of functions
12.
Number of real roots of the equation
13.
Application of derivatives to equations
14.
Application of derivatives to inequalities
15.
Function analogy
16.
Problem solving using derivatives
17.
Speed ​​and acceleration
18.
Rate of change of shape
Descriptive questions
Highest difficulty problem

Ⅲ.
integral
1.
Indefinite and definite integrals
Concept Check / Basic Concept Questions
01.
Calculating indefinite integrals
02.
Application of indefinite integrals
03.
The relationship between indefinite integrals and differentiation
04.
Calculation of definite integrals
05.
Properties of definite integrals
06.
Properties of definite integrals - functions defined differently depending on the interval
07.
Properties of definite integrals - odd, even, and periodic functions
08.
Differentiation of a function defined by a definite integral
09.
Limit of a function defined by a definite integral
10.
Function defined by definite integral - when there is a constant in the integration interval
11.
Function defined by definite integral - when there is a variable x in the integration interval
12.
Application of definite integrals
Descriptive questions
Highest difficulty problem
2.
Application of definite integrals
Concept Check / Basic Concept Questions
01.
Area between the curve and the x-axis (or y-axis)
02.
Area between a curve and a straight line
03.
Area between two curves
04.
When dividing the area of ​​a shape into two parts
05.
When dividing the area of ​​a shape into three parts
06.
Application of definite integrals - area
07.
Applications of definite integrals - functions and inverse functions
08.
Application of definite integrals - position on the number line
09.
Application of definite integrals - speed
Descriptive questions
Highest difficulty problem

Mock tests for each unit to prepare for school exams
1st Ⅰ-1.
limit of a function
2nd time Ⅰ-2.
continuity of functions
3rd time Ⅱ-1.
Differentiation coefficients and derivatives
4th episode Ⅱ-2.
Applications of derivatives
5th Ⅲ-1.
Indefinite and definite integrals
6th Ⅲ-2.
Application of definite integrals