Maths

Mathematics is the base of human civilization. From cutting vegetables to arranging books on the shelves, from tailoring clothes to motion of Planets - Mathematics applies everywhere.

Calculus | Probability | Trigonometry | Coordinate Geometry

Fundamental Operations on Rational Numbers
Basic Geometry
Means of Progressions
Harmonic Progression
Geometric Progression
Arithmetic Progression
Binomial Theorem
Principle of Mathematical Induction
Properties of Combinations
Combinations
Circular Permutations
Permutations When Objects Can Repeat
Permutations of Objects Not All Distinct
Vector or Cross Product
Scalar or Dot Product
Direction Ratios
Direction Cosines
Resolution of Vector
Addition of Vectors
Types of Vectors
Introduction To Vectors
Properties of Principal Inverse Trigonometric Functions
Inverse Trigonometrical Functions
Solution of Triangles
Triangle Area Formula
Sub-multiple Half Angle Formula
Projection Formula
Cosine Formula
Napier’s Formula
Sine Formula
General Solutions of sin θ = sin α, cos θ = cos α, tan θ = tan α
Equation of the Form: a cosθ + b sinθ = c
General Solutions of sin θ = 0, cos θ = 0, tan θ = 0
Trigonometrical Equations
Trigonometric Conditional Identities
Transformation of Product Into Sum or Difference
Trigonometric Multiple Angle Identities
Trigonometric Compound Angles: A + B and A − B
Properties of Trigonometric Functions
T-Ratios of Related Angles
Six Trigonometrical Ratios
Quadrants, Angles & Measurement
Roots of Complex Number
De Moivre’s Theorem
Cube Roots of Unity
Exponential Form of Complex Number
Polar Form of Complex Number
Geometrical Representation of Complex Number
Modulus of Complex Number
Conjugate of Complex Number
Algebraic Operations of Complex Numbers
Complex Number System
Solution of System of Linear Equations by Matrix Inversion Method
Inverse of a Matrix
Rank of a Matrix
Adjoint of Matrix
Normal Distribution
Poisson Distribution
Binomial Distribution
Theoretical Distributions
Mathematical Expectation
Random Variable
Linear Differential Equation
Homogeneous Differential Equation
Variable Separable Method
Formation of Differential Equations
Order and Degree of Differential Equation
Introduction to Differential Equations
Area of Bounded Regions
Reduction Formulae For Integration
Properties of Definite Integrals
Curve Tracing
Differentials: Errors and Approximation
Concavity, Convexity and Points of Inflection
Maximum and Minimum Values
Increasing and Decreasing Functions
Indeterminate Forms: L'Hospital's Rule
Lagrange Mean Value Theorem (LMVT)
Rolle’s Theorem
Tangents and Normals: Derivative As Measure Of Slope
Derivative As Rate Measure
Rectangular Hyperbola
Asymptotes
Parametric Form of Conics
Other Form of Hyperbola
Important Definitions Regarding Hyperbola
Standard Equation of Hyperbola
Important Definitions Regarding Ellipse
Other Standard Form of Ellipse
Standard Equation of Ellipse
Standard Parabolas
Important Definitions Regarding Parabola
Standard Equation of Parabola
Classification of Conics
General Equation of a Conic
Definition of a Conic
Orthogonal Circles
Circles Touching Each Other
Equation of Chord of Contact of Tangents
Condition For Line To Be Tangent To Circle
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