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Class XII: Maths (गणित)

Nishant Singhania

Class XII: Mathematics (New Book)

Class XII Maths

Textbooks/पाठ्यपुस्तक:

Reference Video/सन्दर्भ विडियो:

Khan Academy Videos:
Composite functions
Intro to inverse functions
Verifying inverse functions by composition
Invertible functions

Textbooks/पाठ्यपुस्तक:

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Khan Academy Videos:
Intro to inverse trigonometric functions

Textbook/पाठ्यपुस्तक:

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Khan Academy Videos:
Introduction to matrices
Adding & subtracting matrices
Multiplying matrices by scalars
Multiplying matrices by matrices
Properties of matrix multiplication
Transpose of a matrix
Invertible matrices
Inverse of a matrix by elementary operations

Textbook/पाठ्यपुस्तक:

Reference Video/सन्दर्भ विडियो:

Khan Academy Videos:
Determinants
Properties of determinants
Adjoint and inverse of a matrix using minors and cofactors
Solving equations with inverse matrices

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Khan Academy Videos:
Continuity at a point
Review: Limits of combined & composite functions
Continuous functions
Review: Intermediate value theorem
Differentiability
Product rule
Quotient rule
Chain rule
Rational functions differentiation
Radical functions differentiation
Trigonometric functions differentiation
Exponential functions differentiation
Logarithmic functions differentiation
Derivatives capstone

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Khan Academy Videos:
Approximations
Related rates
Tangents and normals
Optimization
Applied rates of change
L'Hôpital's rule

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Khan Academy Videos:
Antiderivatives
Indefinite integrals intro
Indefinite integrals of common functions
Integration by parts
u-substitution
Reverse chain rule
Partial fraction expansion
Integration using trigonometric identities
Trigonometric substitution
Functions defined by integrals
Fundamental theorem of calculus
Fundamental theorem of calculus: chain rule
Definite integral as area
Definite integral properties
Definite integral evaluation
Definite integrals of piecewise functions
Challenging definite integrals
Improper integrals
Riemann sums
Riemann sums with sigma notation
Trapezoidal rule
Definite integral as the limit of a Riemann sum

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Khan Academy Videos:
Area under simple curves
Area between two curves
Area defined by polar graphs

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Khan Academy Videos:
Intro to differential equations
Separable equations
Homogeneous equations
Exact equations and integrating factors

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Textbook/पाठ्यपुस्तक:

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Textbook/पाठ्यपुस्तक:

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Textbook/पाठ्यपुस्तक:

Reference Video/सन्दर्भ विडियो:

Khan Academy Videos:
Conditional probability and independence
Discrete random variables
Binomial random variables
Binomial mean and standard deviation formulas
More on expected value
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