Num 
Section 
Topic 
Num of Problems 
Core 
Lecture 
2_1 
Series 
How to Calculate the Series 
1 


2_2 
Series 
Geometric Series 
0 


2_3 
Series 
Converge or Not to converge 
1 


2_5 
Series 
Convergency test 
1 


3_1 
Limitation 
Calculation 
4 


3_2 
Limitation 
Continuity 
0 


3_3 
Continuous Function 
Continuity and Limit 
2 


3_4 
Continuous Function 
Properties of Continuous Function 
0 


4_0 
The Derivative in Calculus 
Differentiability 
4 


4_1 
The Derivative in Calculus 
Definition of Derivative 
10 


4_2 
The Derivative in Calculus 
Tangent line 
10 


4_3 
Computation of Derivative 
Simple derivative 
11 


4_4 
Computation of Derivative 
Chain rule 
12 


4_4 
Computation of Derivative 
Inverse function 
1 


4_5 
Computation of Derivative 
Implicit Differentiation 
9 


4_6 
Theorem in Calculus 
Mean Value Theorem 
3 


4_7 
Theorem in Calculus 
Average Value of a Function 
7 


4_8 
Application of Derivative 
Using Derivatives to Analyze Graphs 
11 


4_9 
Application of Derivative 
Finding Maxima and Minima 
9 


4_9 
Application of Derivative 
Rate of Change 
19 


5_1 
The Integral in Calculus 
Riemann Sums 
4 


5_2 
The Integral in Calculus 
Fundamental Theorem of Calculus 
9 


5_2 
The Integral in Calculus 
Defferential Equation 
8 


5_3 
The Integral in Calculus 
Antiderivative 
9 


5_4 
The Integral in Calculus 
Properties of Integral 
1 


5_6 
Computation of integral 
Antiderivative by Partial Fractions 
0 


5_7 
Computation of integral 
Antiderivative by Substitution 
14 


5_8 
Computation of integral 
Antiderivative by Parts 
1 


5_9 
Computation of integral 
Antiderivative by improper intergrals 
0 


5_10 
Application of integral 
The Area under Smooth Curve 
10 


5_11 
Application of integral 
Volumes of Revolution 
8 


5_12 
Application of integral 
Volumes of Solids 
2 


5_13 
Application of integral 
Distance 
9 


6_1 
Application of Derivative 
Taylor Series 
1 

