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Class XI: Maths (गणित)

Nishant Singhania

Class XI Maths (New Book)

Class XI Maths

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Khan Academy Videos:
Sets
Operations on sets

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Khan Academy Videos:
What is a function?
Inputs and outputs of a function
Introduction to domain and range
Domain of a function
Range of a function
Piecewise functions
Algebra of real functions

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Khan Academy Videos:
Degrees and radians
Unit circle
Graphs of trigonometric functions
Trigonometric identities: Symmetry
Trigonometric identities: Sum and difference
Trigonometric equations

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Khan Academy Videos:
What are the imaginary numbers?
What are the complex numbers?
Adding and subtracting complex numbers
Multiplying complex numbers
Dividing complex numbers
Absolute value & angle of complex numbers
Polar form of complex numbers

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Khan Academy Videos:
Introduction to inequalities
Solutions of linear inequalities in one variable
Inequalities word problems
Graphical solution of linear inequalities in two variables
Solution of system of linear inequalities in two variables
Compound inequalities

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Khan Academy Videos:
Fundamental Principle of Counting
Permutations
Combinations

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Khan Academy Videos:
Intro to the Binomial theorem

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Khan Academy Videos:
Intro to sequence and series
Arithmetic sequences
Arithmetic series
Geometric sequences
Geometric series
Sequence and series word problems
Special series

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Khan Academy Videos:
Two-variable linear equations intro
Slope
Horizontal and vertical lines
x-intercepts and y-intercepts
Applying intercepts and slope
Intro to slope-intercept form
Graphing slope-intercept equations
Writing slope-intercept equations
Point-slope form
Standard form
Summary: Forms of two-variable linear equations

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Khan Academy Videos:
Introduction to conic sections
The features of a circle
Standard equation of a circle
Expanded equation of a circle
Center and radii of an ellipse
Foci of an ellipse
Focus and directrix of a parabola
Introduction to hyperbolas
Hyperbolas not centered at the origin
Identifying conic sections from their equation

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Khan Academy Videos:
Limits intro
Estimating limits from graph
Estimating limits from tables
Formal definition of limits (epsilon-delta)
Properties of limits
Limits by direct substitution
Limits using algebraic manipulation
Strategy in finding limits
Squeeze theorem
Average vs. instantaneous rate of change
Derivative definition
Power rule
More on power rule
Derivatives of polynomial functions
Product rule
Quotient rule
Derivatives of trigonometric functions
Proof videos

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Khan Academy Videos:
Measures of central tendency: mean, median and mode
Measures of spread: range, variance, and standard deviation
Other measures of spread: mean absolute deviation

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