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Home
My Articles
Some paragraphs of interest
Arithmetic
Constants
Exponential Constant (e)
Trigonometry
My Discoveries
Interest Areas
A new look at Numbers
Basics (Cube root, a new method)
Diophantine Equations
Integer Pythagorean Triples
Pi (π)
Pi (Part 1)
Pi (Part 2)
What is Pi?
Polynomial Equations
Cubic Equation by Hyperbolic method
Cubic Equations (Solution 1)
Expansion Method
Hyperbolic Method
Quartic Equation by Hyperbolic method
Quartic Equations (Solution 1)
Quintic equation by Hyperbolic Method
Primary School Students
4, 5, 6, 7 and 8
Algebra
Addition and Subtraction
Direct and Inverse Proportion
Direct and Inverse Variation
Expansions, Expressions and Identities
Factorization in algebra
Formula
HCF and LCM
Indices or exponents
घातांक
Introduction to Linear Simultaneous Equations
Linear equation
Linear Equation in two variables
Linear Inequation
Logarithms
Multiplication and Division in algebra
Quadratic Equation
वर्ग समीकरण
Ratio and Proportion
Bar Graphs
Circle and its related terms
Compound Interest
Congruency of Triangles
Coordinate Geometry Introduction
Cube and cube roots (find)
Data
Decimals and Fractions
Fundamentals of Geometry
Linear Symmetry
Mean, Median and Mode
Mensuration and Circle
Operations Introduction
Percentage (per 100)
Plane Figures
Polygons
Profit Loss and Discount
Pythagoras Theorem
Quadrilaterals
Reflection
Remainder left after division
(2) Two
(3) Three
(4) Four
(5) Five
(6) Six
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
7
8
9
Remainders Sequences
Right Angled Triangle
Rotation
Sets Introduction
Simple Interest
Solid Figures
Solution of Simultaneous Equations
Square and Square Roots (Find)
Subsets Introduction
Triangles
Unitary method: the power of one
Venn-diagrams Introduction
Whole, Natural, Integers, Rational, Irrational and Real Numbers
High School Students
9 and 10
Binomial Theorem
Heights and Distances
Linear Simultaneous Equations
Quadratic Equation
Quadratic Expression
Ratio and Proportion
Sequences
Significant Figures
Solid Figures
Standard Angles
Trigonometric Ratios
Trigonometric Relations and Identities
Intermediate students
11 and 12
Determinants
Distance Formula
Equation of Line
Logical Connectives
Section Formula
BSc Students
College
Abstract Algebra
Analytical Geometry
Central Conicoid
Cones
Cylinders
Ellipse
Equations of a plane
Equations of lines in 3 Dimension
General equation of conicoid
General equation of conics
Hyperbola
Parabola
Paraboloids
Sphere
Standard Conics
Complex Analysis
Analytic functions
C-R equations in polar form
Calculus of functions of complex variables
Cauchy Integral theorem to multiply connected region
Cauchy's inequality
Cauchy's Integral Formula
Cauchy's Integral Theorem
Complex variables
Conjugate Functions
Harmonic functions
Milne Thomson Method
Orthogonal Curves
Tranaformation and Conformal Transformation
Differential Equations
Bernoulli's Equation
Clairaut's Equation
Complementary Function
Definition
Differential Equation of first order and first degree
Equation of first order and higher degree
Equations solvable by separation of variables
Exact Differential Equations
Homogeneous Differential Equations
Homogeneous Linear Equations
Linear Differential equation of second order with constant coefficients
Linear Differential Equations
Method of Variation of Parameters
Orthogonal Trajectories of a given family of curves
Particular Integral
Discrete Mathematics
Combinatorics (Introduction)
Conditional Connectives
Laws about Propositions
Logical Connectives
Methods of proof
Elementary Algebra
Complex Numbers
Cramer's Rule
Cubic Equation
Inequalities
Operation on Sets
Opration on Complex Numbers
Quartic Equation
Sets
Linear Algebra
Linear Programming
Mathematical Modelling
Multi Variable Calculus
Homogeneous Function and Euler's Theorem
Partial derivatives
Numerical Analysis
Intermediate Value Theorem
Lagrange's Mean Value theorem
Rolle's Theorem
Round off error/ Truncation error
Taylor's Theorem
Probability and Statistics
Real Analysis
Single Variable Calculus
Algebra of limits
Derivative of constant and x^n.
Derivative of e^x and a^x
Derivative of hyperbolic functions.
Derivative of Inverse functions
Derivative of inverse trigonometric functions.
Derivative of Polynomial functions
Derivative of product and quotient of two functions.
Derivative of sin x and cos x.
Derivative of sum and difference of two functions.
Derivative of tan, cot, sec, cosec and e^-x.
Geometrical Interpretation of Differentiation.
Inverse Functions
Inverse Trigonometric Functions
Operations on functions
Trigonometric Functions
Types of functions
What is differentiation?
Students of ITIs
Industrial Training Institutes
Area of plane figures
Mensuration
Trigonometry
Workshop Calculation 2nd Year