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11th Class Mathematic - Preview

  • Sets
    HD Video Lectures - 21, Questions - 25
    • Introduction to Set Theory
    • Representation of Sets
    • Practice Questions (Set 1)
    • Finite Sets and Infinite Sets
    • Equal Sets
    • What Are Subsets?
    • More About Subsets
    • Power Set and Universal Set
    • Intervals as Subsets of Real Numbers
    • Venn Diagrams
    • Union of Sets
    • Intersection of Sets
    • Difference of Sets
    • Complement of a Set
    • Some Laws on Complement of a Set
    • More About Union and Intersection of Sets
    • Practice Questions (Set 2)
    • Important Results on Cardinality of Two Sets
    • Practical Problems on Operations of Sets
    • Important Results on Cardinality of Three Sets
    • Practice Questions (Set 3)
    Relations and Functions
    HD Video Lectures - 19, Questions - 25
    • Understanding Cartesian Product of Sets
    • Problems on Cartesian Product of Sets
    • Understanding Relations
    • Terms Related to Relations
    • Problems on Relations
    • Introduction to Functions
    • Function: A Special Relation
    • Terms Related to Functions
    • Domain and Range of a Function
    • Identity and Constant Functions
    • Understanding Polynomial Functions
    • Rational Functions
    • Understanding the Modulus Function
    • Understanding the Signum Function
    • The Greatest Integer Function
    • Algebra of Functions
    • Practice Questions (Set 1)
    • Practice Questions (Set 2)
    • Practice Questions (Set 3)
    Trigonometric Functions
    HD Video Lectures - 20, Questions - 25
    • Introduction to Trigonometric Functions
    • What Is an Angle?
    • Problems on the Measure of an Angle
    • Definitions of Trigonometric Functions
    • Problems on Trigonometric Identities
    • Observations on the Definition
    • Domain, Range and Graph of the Sine Function
    • Domain, Range and Graph of the Cosine Function
    • Domain, Range and Graph of the Cosecant and Secant Functions
    • Domain, Range and Graph of the Tangent and Cotangent Functions
    • Problems on Trigonometric Functions
    • Finding the Trigonometric Values of Some Specific Angles
    • Problems on Finding the Values of Trigonometric Functions
    • Trigonometric Functions of the Sum and Difference of Two Angles – 1
    • Trigonometric Functions of the Sum and Difference of Two Angles – 2
    • Multiple-Angle Identities
    • Problems on Trigonometric Equations
    • Solving Trigonometric Equations Using Identities – 1
    • Solving Trigonometric Equations Using Identities – 2
    • Practice Questions
    Principle of Mathematical Induction
    HD Video Lectures - 4, Questions - 25
    • Introduction to the Principle of Mathematical Induction
    • The Method of the Principle of Mathematical Induction
    • Divisibility and Inequality Problems on the Principle of Mathematical Induction
    • Practice Questions
    Complex Numbers and Quadratic Equations
    HD Video Lectures - 11, Questions - 25
    • What Are Imaginary Numbers?
    • Complex Numbers and Their Representation
    • Algebra of Complex Numbers
    • Modulus of a Complex Number
    • Argument of a Complex Number
    • Conjugate of a Complex Number
    • How to Find the Principal Argument
    • Polar Coordinates and the Euler Form
    • Quadratic Equations and Complex Roots
    • Practice Questions (Set 1)
    • Practice Questions (Set 2)
    Linear Inequalities
    HD Video Lectures - 5, Questions - 25
    • Introduction to Linear Inequalities
    • Algebraic Solutions of Linear Inequalities in One Variable
    • Solutions of Linear Inequalities in Two Variables – Part 1
    • Solutions of Linear Inequalities in Two Variables – Part 2
    • Practice Questions
    Permutations and Combinations
    HD Video Lectures - 14, Questions - 25
    • Introduction to Permutations and Combinations
    • The Fundamental Principle of Counting
    • Examples on the Fundamental Principle of Counting
    • The Meaning of n!
    • Number of Arrangements – Permutations
    • Properties of nPr and Examples
    • Number of Selections – Combinations
    • Properties of nCr and Examples
    • Examples of Permutations and Combinations
    • Permutations of Alike Objects
    • The Classical Problem of Seating Arrangements
    • Game of Words: Lexicography and Dictionary
    • Game of Digits and Divisibility Concept
    • Permutations and Combinations of Playing Cards
    Binomial Theorem
    HD Video Lectures - 0, Questions - 25
    Sequences and Series
    HD Video Lectures - 0, Questions - 25
    Straight Lines
    HD Video Lectures - 13, Questions - 25
    • Revisiting the Cartesian Plane
    • Slope of a Straight Line
    • Importance of Slope and Its Uses
    • Practice Questions (Set 1)
    • Equation of a Line – Part 1
    • Equation of a Line – Part 2
    • Equation of a Line – Normal Form
    • Practice Questions (Set 2)
    • Interpreting the General Equation of a Line
    • Distance of a Point From a Line
    • Practice Questions (Set 3)
    • Practice Questions (Set 4)
    • Practice Questions (Set 5)
    Conic Sections
    HD Video Lectures - 15, Questions - 25
    • Introduction to Conic Sections
    • Circle and Its Equation
    • Practice Questions on Circles
    • Parabola and Its Geometry
    • Parabola Equation and Latus Rectum
    • Practice Questions on Parabolas
    • Ellipse and Its Geometry – Part 1
    • Ellipse and Its Geometry – Part 2
    • Equation of an Ellipse
    • Latus Rectum of an Ellipse
    • Practice Questions on Ellipses
    • Hyperbola and Its Geometry
    • Equation of a Hyperbola
    • Eccentricity and Latus Rectum of a Hyperbola
    • Practice Questions on Hyperbolas
    Introduction to Three Dimensional Geometry
    HD Video Lectures - 8, Questions - 25
    • Introduction to Three Dimensional Geometry
    • Coordinates of a Point in Space
    • Distance Between Two Points
    • Deriving the Distance Formula
    • Problems on the Distance Formula
    • The Section Formula
    • Problems on the Section Formula
    • Miscellaneous Practice Questions
    Limits and Derivatives
    HD Video Lectures - 12, Questions - 25
    • Introduction to Differential Calculus
    • Limits and Its Existence
    • Algebra of Limits
    • Indeterminate Forms
    • Limits of Rational Functions
    • Sandwich Theorem and Limits of Trigonometric Functions
    • Practice Questions on Limits
    • Introduction to Derivatives
    • Derivatives of Some Elementary Trigonometric Functions
    • Algebra of Derivatives
    • Quotient Rule
    • Practice Questions on Derivatives
    Mathematical Reasoning
    HD Video Lectures - 7, Questions - 25
    • Introduction to Mathematical Reasoning
    • Compound Statements, Truth Value, Truth Table and Connectives
    • What Are Quantifiers?
    • Implications or Conditional
    • Converse, Inverse and Contrapositive
    • Bi-Conditional Statements or Equivalence
    • Logical Equivalence, Fallacy and Tautology
    Statistics
    HD Video Lectures - 7, Questions - 25
    • Introduction to Statistics
    • Ungrouped Data and Grouped Data – Part 1
    • Ungrouped Data and Grouped Data – Part 2
    • Mean Deviation of Data
    • Standard Deviation of Data
    • Coefficient of Variation
    • Practice Questions
    Probability
    HD Video Lectures - 8, Questions - 25
    • Probability: A Chance of an Event
    • Random Experiments and Their Sample Space
    • Events and Its Algebra
    • Axiomatic Approach to Probability – Part 1
    • Axiomatic Approach to Probability – Part 2
    • Axiomatic Approach to Probability With Venn Diagrams
    • Practice Questions (Set 1)
    • Practice Questions (Set 2)
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