1: Sets
This lesson introduces the concept of sets, their representation, types of sets, and operations on sets.
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Introduction to Sets and their Representation (English) -
Types of Sets: Empty, Finite, Infinite, Equal Sets (English)
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Subsets, Power Set, and Universal Set (English)
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Operations on Sets: Union, Intersection, Difference (Hindi)
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Venn Diagrams and Applications of Sets (Hindi)
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Introduction to Sets and their Representation (Hindi)
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Identifying types of sets
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Not startedPerforming operations on sets
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Not started2: Relations and Functions
This lesson covers Cartesian product of sets, relations, and various types of functions with their properties.
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Cartesian Product of Two Sets (English)
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What is a Relation? Domain, Codomain, and Range (English)
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What is a Function? Types of Functions (Hindi)
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Algebra of Real Functions (Hindi)
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Finding domain and range of relations
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Not startedClassifying functions and their properties
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Not started3: Trigonometric Functions
This lesson explores trigonometric ratios, identities, equations, and applications in solving various problems.
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Angles and their Measurement (Degrees & Radians) (English)
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Trigonometric Ratios of Allied Angles (English)
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Trigonometric Identities and Compound Angles (Hindi)
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Trigonometric Equations (Hindi)
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Solving basic trigonometric equations
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Not startedProving trigonometric identities
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Not started4: Principle of Mathematical Induction
This lesson introduces the method of proving mathematical statements using the Principle of Mathematical Induction.
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Introduction to Principle of Mathematical Induction (English)
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Steps of Mathematical Induction (English)
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Proving Divisibility Statements by Induction (Hindi)
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Proving Inequality Statements by Induction (Hindi)
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Applying induction to sum of series
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Not startedAdvanced problems on mathematical induction
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Not started5: Complex Numbers and Quadratic Equations
This lesson introduces complex numbers, their algebra, and solving quadratic equations with complex roots.
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Introduction to Complex Numbers and Imaginary Unit (English)
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Algebra of Complex Numbers (Addition, Subtraction, Multiplication, Division) (English)
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Solving Quadratic Equations with Complex Roots (English)
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Introduction to Complex Numbers and Imaginary Unit (Hindi)
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Algebra of Complex Numbers (Addition, Subtraction, Multiplication, Division) (Hindi)
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Solving Quadratic Equations with Complex Roots (Hindi)
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Performing operations on complex numbers
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Not startedFinding roots of quadratic equations
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Not started6: Linear Inequalities
This lesson covers solving linear inequalities in one and two variables, and their graphical representation.
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Introduction to Linear Inequalities (English)
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Algebraic Solutions of Linear Inequalities in One Variable (English)
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Graphical Solution of Linear Inequalities in Two Variables (Hindi)
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Solution of System of Linear Inequalities in Two Variables (Hindi)
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Solving compound linear inequalities
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Not startedGraphing solution regions for systems of inequalities
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Not started7: Permutations and Combinations
This lesson covers the fundamental counting principle, permutations, and combinations with their applications.
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Fundamental Principle of Counting (English)
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Permutations: Arrangement of Objects (English)
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Combinations: Selection of Objects (Hindi)
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Permutations when all objects are not distinct (Hindi)
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Solving problems involving selection
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Not startedSolving problems involving arrangements
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Not started8: Binomial Theorem
This lesson introduces the binomial theorem for positive integral indices, and finding general and middle terms.
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Introduction to Binomial Theorem (English)
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Binomial Theorem for Positive Integral Indices (English)
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General and Middle Term in Binomial Expansion (Hindi)
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Properties of Binomial Coefficients (Hindi)
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Expanding binomial expressions
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Not startedFinding specific terms in binomial expansions
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Not started9: Sequences and Series
This lesson covers arithmetic progression (AP), geometric progression (GP), and special series.
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Introduction to Sequences and Series (English)
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Arithmetic Progression (AP): nth term and Sum of n terms (English)
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Geometric Progression (GP): nth term and Sum of n terms (Hindi)
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Arithmetic Mean and Geometric Mean (Hindi)
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Finding sum of terms in AP and GP
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Not startedSolving problems based on special series
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Not started10: Straight Lines
This lesson covers the concept of straight lines, their equations in different forms, and related geometric properties.
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Slope of a Line and Angle between Two Lines (English)
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Various Forms of Equation of a Line (Point-Slope, Two-Point, Slope-Intercept, Intercept) (English)
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General Equation of a Line (Hindi)
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Distance of a Point from a Line (Hindi)
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Finding equations of lines given different conditions
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Not startedCalculating distances related to lines
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Not started11: Conic Sections
This lesson introduces conic sections: circles, parabolas, ellipses, and hyperbolas, along with their standard equations.
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Introduction to Conic Sections (English)
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Circles: Standard Equation and Properties (English)
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Parabolas: Standard Equation and Properties (Hindi)
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Ellipses: Standard Equation and Properties (Hindi)
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Identifying conic sections from given equations
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Not startedFinding equations of conic sections based on properties
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Not started12: Introduction to Three Dimensional Geometry
This lesson introduces the coordinate system in three dimensions and concepts like distance formula and section formula.
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Coordinate Axes and Coordinate Planes in 3D (English)
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Coordinates of a Point in Space (English)
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Distance Formula in Three Dimensions (Hindi)
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Section Formula in Three Dimensions (Hindi)
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Locating points in 3D space
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Not startedApplying section formula to dividing points
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Not started13: Limits and Derivatives
This lesson introduces the fundamental concepts of limits, continuity (briefly), and derivatives of functions.
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Introduction to Limits (English)
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Algebra of Limits (English)
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Limits of Trigonometric Functions (Hindi)
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Derivatives: Definition and Basic Rules (Hindi)
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Evaluating limits using algebraic manipulation
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Not startedApplying rules of differentiation
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Not started14: Mathematical Reasoning
This lesson introduces basic concepts of mathematical logic, statements, connectives, and validity of statements.
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Statements and their Truth Values (English)
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Logical Connectives: AND, OR, NOT (English)
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Quantifiers: There Exists, For All (Hindi)
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Implications and Bi-implications (Hindi)
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Writing converse and contrapositive statements
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Not startedIdentifying tautologies and contradictions
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Not started15: Statistics
This lesson covers measures of dispersion, including range, mean deviation, variance, and standard deviation for ungrouped and grouped data.
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Measures of Dispersion: Range (English)
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Mean Deviation for Ungrouped Data (English)
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Mean Deviation for Grouped Data (Hindi)
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Variance and Standard Deviation (Ungrouped Data) (Hindi)
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Calculating mean deviation for different data sets
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Not startedComparing variability using standard deviation
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Not started16: Probability
This lesson covers random experiments, events, axiomatic approach to probability, and theorems on probability.
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Random Experiments, Outcomes, and Sample Space (English)
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Events: Types and Algebra of Events (English)
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Axiomatic Approach to Probability (Hindi)
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Mutually Exclusive and Exhaustive Events (Hindi)
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Calculating probability of single events
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Not startedSolving problems using addition theorem of probability
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