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Logarithms
Lecture: 01. Introduction to Logarithms
Lecture: 02. Basics of Logarithms
Lecture: 03. Properties of Logarithm - Part 1
Lecture: 04. Properties of Logarithm - Part 2
Lecture: 05. Solving Logarithmic Equations
Lecture: 06. Graph of Logarithmic Functions
Lecture: 07. Antilogarithm
Lecture: 08. Characteristic & Mantissa
(Trigonometric Ratios & Identities)
Chapter: Compound Angle (Trigonometric Ratios & Identities)Lecture: 01. Introduction to Trigonometry
Lecture: 02. Trigonometric Ratios
Lecture: 03. Real Definition of Trigonometric Ratios
Lecture: 04. Trigonometric Ratios of Allied Angles
Lecture: 05. Trigonometric Graphs
Lecture: 06. Trigonometric Ratios of Compound Angles
Lecture: 07. Transformation Formulae - Sum to Product
Lecture: 08. Transformation Formulae - Product to Sum
Lecture: 09. Tangent Formula
Lecture: 10. Trigonometric Ratios of Multiple & Submultiple Angles
Lecture: 11. Trigonometric Ratios for some Standard Angles
Lecture: 12. Trigonometric Ratios of the Sum of More Than Two Angles
Lecture: 13. Trigonometric Identities in a Triangle (Conditional Identities)
Lecture: 14. Application of Trigonometry in Maximising & Minimising - Type I
Lecture: 15. Application of Trigonometry in Maximising & Minimising - Type II, III
Lecture: 16. Application of Trigonometry in Maximising & Minimising - Type IV, V & VI
Lecture: 17. Summation of Trigonometric Series
Lecture: 18. Continued Product of Sine & Cosine Series
Quadratic Equations
Chapter: Quadratic EquationsLecture: 01. Polynomials
Lecture: 02. Quadratic Equations and Nature of Roots
Lecture: 03. Formation of Quadratic Equations
Lecture: 04. Symmetric Function of Root
Lecture: 05. Roots Under Special Conditions
Lecture: 06. Identities
Lecture: 07. Condition for Common Roots
Lecture: 08. Introduction to Quadratic Graphs
Lecture: 09. Inequalities
Lecture: 10. Maximum and Minimum Values of Quadratic and Rational Functions
Lecture: 11. Location of Roots
Lecture: 12. Transformation of Quadratic Equations
Lecture: 13. Theory of Equations
Lecture: 14. Quadratic Expressions in Two Variables
Lecture: 15. Modulus Function
Lecture: 16. Inequalities Involving Modulus Function
Lecture: 17. Logarithmic Inequalities
Lecture: 18. Exponential Inequalities
Sequence and Series
Chapter: Sequence and SeriesLecture: 01. Introduction to Sequence, Series and Progression
Lecture: 02. Introduction to Arithmetic Progression - General Term
Lecture: 03. Summation of Arithmetic Progression
Lecture: 04. Properties of Arithmetic Progressio
Lecture: 05. Arithmetic Mean
Lecture: 06. General Term of Geometric Progression
Lecture: 07. Summation of Geometric Progression
Lecture: 08. Properties of Geometric Progression
Lecture: 09. Geometric Mean
Lecture: 10. General Term of Harmonic Progression
Lecture: 11. Harmonic Mean
Lecture: 12. Relation Between A.M., G.M. & H.M.
Lecture: 13. Arithmetico - Geometric Progression
Lecture: 14. Special Sequence - Sigma Notation
Lecture: 15. Special Sequence - Method of Difference
Lecture: 16. Special Sequence - Splitting the Terms
Lecture: 17. Special Sequence - Miscellaneous
Trigonometric Equation
Chapter: Trigonometric EquationLecture: 01. Introduction to Trigonometric Equations
Lecture: 02. General Solution of Trigonometric Equations - Part 1
Lecture: 03. General Solution of Trigonometric Equations - Part 2
Lecture: 04. Strategies for Solving Trigonometric Equations - 1. Factorization 2. Reducing
Lecture: 05. Strategies for Solving Trigonometric Equations - 3. Introducing an Auxiliary Argume
Lecture: 06. Strategies for Solving Trigonometric Equations - 4. Transforming Sum to P
Lecture: 07. Strategies for Solving Trigonometric Equations - 6. By Change of Variable/ Subs
Lecture: 07. Strategies for Solving Trigonometric Equations - 6. By Change of Variable/ Subs
Lecture: 08. Strategies for Solving Trigonometric Equations - 7. By Boundness 8. By Squaring 9. Sy
Lecture: 09. Trigonometric Inequalities & System of Inequalities
Solution of Triangles
Lecture: 01. Properties & Solution of Triangle
Lecture: 02. Sine Rule
Lecture: 03. Cosine Rule
Lecture: 04. Projection Formula
Lecture: 05. Tangent Rule
Lecture: 06. Half Angle Formulae
Lecture: 07. m-n Theorem
Lecture: 08. Circumcircle
Lecture: 09. Incircle
Lecture: 10. Excircles
Lecture: 11. Orthocentre
Lecture: 12. Lengths of Angle Bisector & Median
Lecture: 13. Regular polygon
Application of Trigonometry
Lecture: 01. Height and Distance
Point
Lecture: 01. Mathematical Contribution of a Fly
Lecture: 02. Coordinate System & Distance Formula
Lecture: 03. Section Formula
Lecture: 04. Centers of a Triangle - Centroid, Incentre & Excentre
Lecture: 05. Centers of a Triangle - Orthocentre & Circumcentre
Lecture: 06. Area of Triangle
Lecture: 07. Locus
Straight Line
Lecture: 01. Introduction to Straight Line
Lecture: 02. Standard Forms of Equations of Straight Lines - Slope, Intercept Form
Lecture: 03. Standard Forms of Equations of Straight Lines - One Point, Two Point Form
Lecture: 04. Standard Forms of Equations of Straight Lines - Normal, Parametric, General Form
Lecture: 05. Point and Line
Lecture: 06. Length of the Perpendicular from a Point on a Line
Lecture: 07. Angle between two Straight Lines
Lecture: 08. Equation of Lines - Parallel & Perpendicular to a given line
Lecture: 09. Equation of Straight Lines Equally Inclined to a given line
Lecture: 10. Family of Straight Lines
Lecture: 11. Concurrency of Straight Lines
Lecture: 12. Angle Bisectors
Lecture: 13. Optics
Lecture: 14. Transformation of Axes
Lecture: 15. Pair of Straight Lines
Lecture: 16. General Equation of Second Degree representing a Pair of Straight Lines
Lecture: 17. Homogenisation
Circle
Lecture: 01. Center - Radius Form of a Circle
Lecture: 02. General Form of a Circle
Lecture: 03. Intercept Form of a Circle
Lecture: 04. Diametric Form of a Circle
Lecture: 05. Parametric Equations of the Circle
Lecture: 06. Point & Circle
Lecture: 07. Line & Circle
Lecture: 08. Tangents from an External Point
Lecture: 09. Chord of Contact
Lecture: 10. Pair of Tangents to the Circle
Lecture: 11. Problems Based on Pair of Tangents to the Circle
Lecture: 12. Chord with Mid-Point
Lecture: 13. Director Circle
Lecture: 14. Chord of a Circle
Lecture: 15. Normal to the Circle
Lecture: 16. Radical Axis
Lecture: 17. Family of Circles
Lecture: 18. Family of Circles - Special Case
Lecture: 19. Coaxial System of Circles
Lecture: 20. Intersection of Circles
Lecture: 21. Common Tangents to the Circles
Parabola
Lecture: 01. Standard Parabola - Part 1
Lecture: 02. Standard Parabola - Part 2
Lecture: 03. Shifted parabola - Part 1
Lecture: 04. Shifted parabola - Part 2
Lecture: 05. Shifted parabola - Part 3
Lecture: 06. Point and Parabola
Lecture: 07. Parametric Coordinates of a Parabola
Lecture: 08. Chord joining two points of a Parabola - Part 1
Lecture: 09. Chord joining two points of a Parabola - Part 2
Lecture: 10. Length of Chord of Parabola
Lecture: 11. Tangents to Parabola - Slope Form
Lecture: 12. Tangents to Parabola - Cartesian, Parametric Form
Lecture: 13. Pair of Tangents to Parabola
Lecture: 14. Normals to Parabola - Cartesian, Parametric Form
Lecture: 15. Normals to Parabola - Slope Form
Lecture: 16. Common Tangent
Lecture: 17. Subtangent & Subnormal
Lecture: 18. Chord with given Mid-Point
Lecture: 19. Diameter of Parabola
Lecture: 20. Highlights about Parabola
Ellipse
Lecture: 01. Standard Ellipse
Lecture: 02. Ellipse at a Glance
Lecture: 03. Problems on Standard Ellipse
Lecture: 04. Other Forms of Ellipse
Lecture: 05. Auxilliary Circle and Eccentricity of Ellipse
Lecture: 06. Point and Ellipse
Lecture: 07. Tangent to Ellipse - Slope Form
Lecture: 08. Tangent to Ellipse - Cartesian Form
Lecture: 09. Tangent to Ellipse - Parametric Form
Lecture: 10. Normals to Ellipse
Lecture: 11. Pair of Tangents to Ellipse
Lecture: 12. Chord with a given Mid-Point
Hyperbola
Lecture: 01. Standard Hyperbola
Lecture: 02. Hyperbola at a Glance
Lecture: 03. Other Forms of Hyperbola
Lecture: 04. Auxilliary Circle and Eccentricity of Hyperbola
Lecture: 05. Point and Hyperbola
Lecture: 06. Tangents to Hyperbola - Slope Form
Lecture: 07. Tangents to Hyperbola - Parametric Form
Lecture: 08. Tangents to Hyperbola - Cartesian Form and Chords
Lecture: 09. Normals to Hyperbola
Lecture: 10. Pair of Tangents & Chord with given Mid-Point
Lecture: 11. Asymptotes
Lecture: 12. Rectangular Hyperbola
Permutation & Combination
Lecture: 01. Factorial
Lecture: 02. Formation of Numbers
Lecture: 03. Permutation and Combination
Lecture: 04. Selection of 'r' things out of 'n' different things
Lecture: 05. Permutation of Things which are all Different
Lecture: 06. Formation of Groups and their Distribution
Lecture: 07. Combination of Things which are not all Different DOWNLOAD
Lecture: 08. Number of Divisors and their Sum
Lecture: 09. Permutation of Alike Objects Taken All or Some at a Time
Lecture: 10. Rank of the Word
Lecture: 11. Circular Permutation: When Objects are Different or Alike
Lecture: 12. Geometric Problems
Lecture: 13. Principle of Inclusion and Exclusion
Lecture: 14. Summation of Numbers
Lecture: 15. Distribution of Alike Objects
Lecture: 16. Derangement
Lecture: 17. Miscellaneous Problems of P&C
Binomial Theorem
Lecture: 01. Introduction to Binomial Theorem
Lecture: 02. Expansion of Binomial Theorem
Lecture: 03. mth-term from the End
Lecture: 04. Coefficient of x to the power m in the Expansion
Lecture: 05. Middle Term in the Expansion DOWNLOAD BY @daityaji
Lecture: 06. Number of Terms in the Expansion
Lecture: 07. Numerically Greatest Term
Lecture: 08. Properties of Binomial Cofficient - Type 1
Lecture: 09. Properties of Binomial Cofficient - Type 2
Lecture: 10. Properties of Binomial Cofficient - Type 3
Lecture: 11. Properties of Binomial Cofficient - Type 4
Lecture: 12. Sum of Coefficients in an Expansion
Lecture: 13. Applications of Binomial Theorem
Lecture: 14. Multinomial Theorem
Lecture: 15. Binomial Theorem for Negative & Fractional Index DOWNLOAD
Lecture: 16. Approximation
Complex Number
Lecture: 01. Complex Number
Lecture: 02. Algebra of Complex Number
Lecture: 03. Conjugate of Complex Number
Lecture: 04. Modulus of Complex Number
Lecture: 05. Argument of Complex Number
Lecture: 06. Polar Form
Lecture: 07. Cartesian & Vector Form
Lecture: 08. De-Moivre's Theorem
Lecture: 09. Cube Roots of Unity
Lecture: 10. nth Roots of Unity
Lecture: 11. Geometry
Lecture: 12. Rotation
Lecture: 13. Equation of Straight Line
Lecture: 14. Geometry Conic Section
Lecture: 15. Locus
Lecture: 16. Triangular Inequality
Statistics
Lecture: 01. Measure of Central Tendency - Arithemetic Mean
Lecture: 02. Properties of Arithemetic Mean
Lecture: 03. Measure of Central Tendency - Weighted Mean & Combined Mean
Lecture: 04. Harmonic Mean and Geometric Mean
Lecture: 05. Measure of Central Tendency - Median
Lecture: 06. Measure of Central Tendency - Mode
Lecture: 07. Measures of Dispersion - Range and Mean Deviation
Lecture: 08. Measures of Dispersion - Variance and Standard Deviation
Lecture: 09. Properties of Variance
Principle of Mathematical Induction
Lecture: 01. Subjective Approach to Induction
Lecture: 02. Objective Approach to Induction
Mathematical Reasoning
Chapter: Mathematical ReasoningLecture: 01. Logical Operator : AND and OR
Lecture: 02. Logical Operator : Conditional and Bi-conditiona
Lecture: 03. Algebra of Statements
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