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Class 11 math (India)

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Unit 1: Sets

Introduction to sets: SetsSubsets: SetsOperations on sets: Sets
Applications of sets: Sets

Unit 2: Relations and functions

Cartesian product of sets: Relations and functionsRelations: Relations and functionsDomain, codomain and range of relations: Relations and functionsWhat is a function?: Relations and functionsInputs and outputs of a function: Relations and functionsIntroduction to domain and range: Relations and functions
Domain of a function: Relations and functionsRange of a function: Relations and functionsPiecewise functions: Relations and functionsAlgebra of real functions: Relations and functionsGraphs of functions: Relations and functionsSolutions to select NCERT problems: Relations and functions

Unit 3: Trigonometric functions

Degrees and radians: Trigonometric functionsUnit circle: Trigonometric functionsTrigonometric functions: Trigonometric functions
Trigonometric identities: Symmetry: Trigonometric functionsTrigonometric identities: Sum and difference: Trigonometric functionsTrigonometric equations: Trigonometric functionsSolutions to select NCERT problems: Trigonometric functions

Unit 4: Complex numbers

What are the imaginary numbers?: Complex numbersWhat are the complex numbers?: Complex numbersAdding and subtracting complex numbers: Complex numbers
Multiplying complex numbers: Complex numbersDividing complex numbers: Complex numbersAbsolute value & angle of complex numbers: Complex numbers

Unit 5: Linear inequalities

Introduction to inequalities: Linear inequalitiesSolutions of linear inequalities in one variable: Linear inequalitiesInequalities word problems: Linear inequalities
Graphical solution of linear inequalities in two variables: Linear inequalitiesSolution of system of linear inequalities in two variables: Linear inequalitiesCompound inequalities: Linear inequalities

Unit 6: Permutations and combinations

Fundamental Principle of Counting: Permutations and combinationsPermutations: Permutations and combinationsCombinations: Permutations and combinations

Unit 7: Binomial theorem

Mastery unavailable
Intro to the Binomial theorem: Binomial theorem

Unit 8: Sequence and series

Intro to sequence and series: Sequence and seriesArithmetic sequences: Sequence and seriesArithmetic series: Sequence and series
Geometric sequences: Sequence and seriesGeometric series: Sequence and seriesSequence and series word problems: Sequence and seriesSpecial series: Sequence and series

Unit 9: Straight lines

Two-variable linear equations intro: Straight linesSlope: Straight linesHorizontal and vertical lines: Straight linesx-intercepts and y-intercepts: Straight linesApplying intercepts and slope: Straight lines
Intro to slope-intercept form: Straight linesGraphing slope-intercept equations: Straight linesWriting slope-intercept equations: Straight linesPoint-slope form: Straight linesStandard form: Straight linesSummary: Forms of two-variable linear equations: Straight lines

Unit 10: Conic sections

Introduction to conic sections: Conic sectionsThe features of a circle: Conic sectionsStandard equation of a circle: Conic sectionsExpanded equation of a circle: Conic sectionsCenter and radii of an ellipse: Conic sections
Foci of an ellipse: Conic sectionsFocus and directrix of a parabola: Conic sectionsIntroduction to hyperbolas: Conic sectionsHyperbolas not centered at the origin: Conic sectionsIdentifying conic sections from their equation: Conic sections

Unit 11: Introduction to three dimensional geometry

Coordinates of a point in space: Introduction to three dimensional geometryDistance between two points: Introduction to three dimensional geometrySection formula: Introduction to three dimensional geometry

Unit 12: Limits

Limits intro: LimitsEstimating limits from graph: LimitsEstimating limits from tables: LimitsFormal definition of limits (epsilon-delta): Limits
Properties of limits: LimitsLimits by direct substitution: LimitsLimits using algebraic manipulation: LimitsStrategy in finding limits: LimitsSqueeze theorem: Limits

Unit 13: Derivatives

Average vs. instantaneous rate of change: DerivativesDerivative definition: DerivativesPower rule: DerivativesMore on power rule: Derivatives
Derivatives of polynomial functions: DerivativesProduct rule: DerivativesQuotient rule: DerivativesDerivatives of trigonometric functions: DerivativesProof videos: Derivatives

Unit 14: Statistics

Measures of central tendency: mean, median and mode: StatisticsMeasures of spread: range, variance, and standard deviation: StatisticsOther measures of spread: mean absolute deviation: Statistics

Unit 15: Probability

Random experiments: ProbabilityEvent: ProbabilityProbability of events: Probability
Solutions to select NCERT problems: Probability
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