This document outlines 14 topics covered in papers from 2018 to 2021. It provides the number of papers published each year on various subtopics within each of the main topics. The topics covered include algebra, calculus, trigonometry, geometry, statistics, modern algebra, linear algebra, topology, arithmetic, vector analysis, 3-D geometry, teaching methodology, and complex analysis. A total of 2,089 papers were published over the 4 years covered in the document.

1. 2018 2021
PAPERS 1 2 3 4 1 2 3 4 5 6 7 8 9
TOPIC - 1
ALGEBRA - 155
1.1 SET Theory, Mapping, Binary Operations,
Function
= 37 1 5 3 2 5 5 4 4 5 3
1.2 Sequence & Series
= 30 4 8 4 6 4 1 1 2

2. 1.3 Exponential Logarithmic series
= 9 1 1 1 3 1 1 1
1.4 Quadratic Equation & Polynomial
= 44 7 1
2
9 8 2 2 1 2 1
1.5 Permutation & Combination
= 3 1 2 1
1.6 Binomial Theorem
= 5 2 1 1
1.7 Probability
= 8 2 1 3 2

3. 1.8 COMPLEX NUMBER
= 10 1 1 1 4 2 1
1.9 Matrix & Determinants
= 9 1 1 1 1 1 1 3

4. TOPIC - 2
CALCULUS - 399
2.1 Limit, Continuity and Derivatives
= 91 2 1 1 2 9 14 5 5 6 13 9 13 1
1
2.2 Differentiation, Tangent & Normal
= 21 1 2 3 1 4 2 2 2 1 2 1
2.3 Maxima / Minima and Increasing / Decreasing
= 32 1 1 3 1 4 3 6 3 5 3 2
2.4 Differential Edu & Partial Diffraction Equ
= 59 4 4 9 4 8 10 4 8 8

5. 2.5 Integration and Improper Integral Area and Volume
[ green and stokes’]
= 74 2 2 1 3 5 9 1
0
5 7 8 5 8 9
2.6 Taylor’s, Maclaurin Series Expansion, Rolle’s,
Mean Value Theorem, Fourier expansion and
Transformation
= 30 1 2 4 4 4 1 2 4 3 5
2.7 Convergence and Divergence
= 52 5 1 6 1
4
4 6 4 5 7
2.8 Riemann Integral

6. = 25 4 1 4 3 3 3 1 4 2
2.9 Curve Tracing
= 15 1 1 2 3 2 1 4 1
TOPIC - 3
TRIGONOMETRY - 67
Trigonometry
identities
4 4 4 6 1 1
Height and
Distance
1 2 2 2
Properties of
Triangle
1
0
10 9 10 1

7. TOPIC - 4
GEOMETRY - 59
Straight Lines,
Family of Lines
1
3
6 7 4
Parabola, Ellipse and
Hyperbola
1
Plane, Sphere, Cone,
Conicoid
1 1
S4 1 1 1 1
S5 1

8. S6 1 4 1 4
S7 1 2 1 1
S8 1 1 1 1
S9 1 1
TOPIC - 5
Statistics - 41
1
0
11 11 9
TOPIC - 6 Dynamics
TOPIC - 7
Modern Algebra - 113

9. 4 3 1 13 1
3
1
2
1
3
1
2
1
2
8 1
1
1
1
TOPIC - 8
Linear Algebra 58
5 5 6 6 4 6 5 3 1
0
2 2 1 3
TOPIC - 9
TOPOLOGY - 94
9 8 1
2
8 14 10 1
3
9 1
1

10. TOPIC - 10
Arithmetic 95
1
7
20 18 21 1 2 4 2 1 6 2 1
TOPIC - 11 Vector and Vector Analysis
6 4 3 4 2 3 3
TOPIC - 12
3-D
1 1 1
TOPIC - 13
TEACHING METHODOLOGY - 147

11. 1
0
10 10 10 11 1
2
1
0
1
2
1
0
1
1
1
6
1
2
1
3
TOPIC - 14 COMPLEX ANALYSIS
11 5 2 3 6 1 9 2 2