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Math - Coggle Diagram
Math
Class 11
Sets
How they are represented
Venn diagrams
Types of sets
Complement of a set
Operations on sets
Practical operatiojs
Union of two sets
Union of three sets
What is a set
Sets used in maths
Belong to
Relations and functions I
Cartesian product of sets
Relations
Functions
Trigonometric functions
Trigonometric functions
Trigonometric equations
Principle of mathematical induction
Complex nos and quadratic equations
What are complex nos
Algebra of complex nos
Modulas and conjugate of it
Linear inequalities
What are linear inequality
Algebra solution of LE in two variable
Algebra solution of LE in one variable
Permutations and combinations
What is permutations
What is combinatinos
Binomial theorem
General and middle terms
For positive integral indecis
Sequence and series
Sequences
AP
GP
Straight lines
Lines
Its slope
Various forms of equations of line
General equation
Distance of a point from a line
Conic sections
Sections of a cone
Circle
Parabola
Ellipse
Hyperbola
Introduction to 3 D
Limits and derivatives
Limits
Limits of trigonometric functions
Derivatives
Mathematical reasoning
Statements
New statements
Validating statements
Statistics
Measure of deviation
Mean deviation
Ungrouped data
Grouped data
Discrete frequency
Mean deviation about mean
Mean deviation about median
Continuous frequency
MD about mean
short cut
MD about median
Limitations of mean deviations
Standard deviation
Of discrete frequency distribution
Of continous distribution
What is standard deviation
shortcut for variance and standard deviation
Quartile deviation
Range
Analysis of freq distribution
Same mean
What is statistics
Increasing our belief in statement with the help of past experiences
Measure of central tendency
Mean
Median
Mode
Probability
Class 12
Relations and functions II
Types of relations
Types of functions
Composition of functinos
Binary operations
Inverse Trigonometric functions
Properties of inverse trigon functions
Matrices
What is a matrix
Types of matrices
Symetric and skew symetric matrices
Invertible matrices
Operations on matrices
Transpose of a matrix
Elementary operations on matrices
Determinants
What is a determinant
Properties
Adjoint of a matrix
Inverse of a matrix
Minors
Cofactors
Continuity and differentiability
Continuity
What is continuity
Differentiability
What is differentiability
Logarithmic
Second order derivative
Applications of derivatives
Rate of change
Increasing and decreasing functions
Tangents and normals
Approximations
Maxima and minima
Integrals
What is integrations
Methods of integrations
By parts
By partial functions
By substitutions
Definite integrals
Applications of integrals
What is this applications
Area under simple curves
Area between two curves
Differential equations
What is differential equations
General and particular solutions of a differential equations
Formations of differential equations
Methods to solve first order, first degree DE
Vector algebra
What is vector
Types of vectors
Additon of vectors
Product of two vectors
Three dimensional geometry
Why three three dimensional geometry
Lines
Angle between two lines
Shortest distance between two lines
Equation of line in space
Direction cosine and direction ratios of lines
Plane
Angle between line and plane
Distance of a point from a line
Angle between two planes
Coplanarity of two lines
Linear Programming
What is LPP
Different types of linear problems
Probability
What is probabilitty
Conditional probability
Multiplication theorem
Bayes theorem