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Class 11

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Welcome, learners!

This course is based on the new rationalised NCERT 2023-2024 books.
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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 and quadratic equations

What are the imaginary numbers?: Complex numbers and quadratic equationsWhat are the complex numbers?: Complex numbers and quadratic equationsAdding and subtracting complex numbers: Complex numbers and quadratic equations
Multiplying complex numbers: Complex numbers and quadratic equationsDividing complex numbers: Complex numbers and quadratic equationsAbsolute value and angle of complex numbers: Complex numbers and quadratic equationsPolar form of complex numbers: Complex numbers and quadratic equations

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 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 sections
Center and radii of an ellipse: Conic sectionsFoci of an ellipse: Conic sectionsFocus and directrix of a parabola: Conic sectionsIntroduction to hyperbola: 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 and derivatives

Limits intro: Limits and derivativesEstimating limits from graph: Limits and derivativesEstimating limits from tables: Limits and derivativesFormal definition of limits (epsilon-delta): Limits and derivativesProperties of limits: Limits and derivativesLimits by direct substitution: Limits and derivatives Limits using algebraic manipulation: Limits and derivativesStrategy in finding limits: Limits and derivativesSqueeze theorem: Limits and derivatives
Average vs. instantaneous rate of change: Limits and derivativesDerivative definition: Limits and derivativesPower rule: Limits and derivativesMore on power rule: Limits and derivativesDerivatives of polynomial functions: Limits and derivatives Product rule: Limits and derivatives Quotient rule: Limits and derivativesDerivatives of trigonometric functions: Limits and derivativesProof videos: Limits and derivatives

Unit 13: 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 14: Probability

Random experiments: Probability Event: Probability Probability of events: Probability
Solutions to select NCERT problems: Probability
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