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Basic Mathematics
Binomial Theorem
Binomial Theorem - I (The basics)
Binomial Theorem II
Sequence and Series
Arithmetic Progression
Geometric Progression
Limits and Derivatives
Limits - I
Increasing and Decreasing Functions
Stationary points of a function
Derivatives - I
Equation of the tangent and normal to a curve at a specified point
Integration
Integration - I (Introduction)
Properties of indefinite integrals
Standard Integration expressions
Power Rule
Integration of Circular Trigonometric Functions
Integration of Exponential Functions
Definite Integration
Area under the curve
The Signed Area
Area between two curves
Application of Integration in Kinematics
Integration by substitution (f(x) g'(x))
Integration by parts
Statistics
Statistics - I
Grouped Data - Introduction
Median of Grouped Data (Interpolation)
Introduction to Histograms - Representation of Data
Correlation- I (Introduction)
Correlation -II (Co-variance)
R - (Coefficient of Correlation)
Regression - I (The Basics)
Principle of Mathematical Induction
Principal of Mathematical Induction
Complex Numbers
Complex Number - I
Complex Number - II
Co-ordinate Geometry
Geometry (Slope of a line)
General Equation of a Line
Parallelism and Perpendicularity of lines in slopes
Angle between two lines
Collinearity of three points
Distance of a point from a line
Distance between two parallel lines
Trigonometric Functions
Angles - I
Important Trigonometric Expressions
Signs of Trigonometric Functions
Domain and Range of Trigonometric Functions
Graph of Trigonometric Functions
Sum and Difference of Trigonometric Functions - I
Sum and Difference of Trigonometric Functions - II
Law of Sines
Area of Triangle using Sine
Cosine Rule of Triangles
Quick method to remember standard Trigonometric Values
Conic Sections
Conic Sections - I (Introduction)
Geometry (Equation of a circle)
Standard Equations of Parabola
Ellipse - I (Definition)
(Ellipse - II) Relationship between major & minor axis and focus point
Standard Equations of Ellipse
Quadratic Functions
Quadratic Functions - I (Introduction)
Quadratic Functions - II (Methods of Solving)
Quadratic Functions - III (Roots/zeroes of a quadratic equation)
Transformations of Quadratic Function (Part IV)
Logarithmic Functions
Introduction to Logarithmic Functions
Laws of Logarithmic Functions
Base Changing Formula
Vectors
Geometric Vectors - I (Introduction)
Basic Operations with Geometric Vectors
Vector Algebra in Two Dimensions
Magnitude of a Vector
Unit Vector
Collinear Vectors
Vector Straight Line Equations
Straight Lines 3D - Vectors
Algebraic definitions of scalar product of vectors
Angle between two vectors
Scalar product or dot product of two vectors
Matrices
Matrices - I (Introduction)
Operations of Matrices
Transpose of Matrix
Symmetric and Skew Symmetric Matrix
Elementary Operations of a Matrix
Inverse of a Matrix
Determinants
Determinants - I (Introduction)
Properties of Determinants
Area of a triangle using determinants
Personal One-on-One Tutoring
Personal Tutoring
Grouped Data - Introduction
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