Tewani Mathematics | IIT Mathematics Coaching in Chandigarh

Imaginary Number
Complex Number Structure And Plogtting
Algebraic Operations On Complex Numbers
Properties Of Conjugate Of Complex Number
Equality Of Complex Numbers And Its Applications
Cube Roots Of Unity_Part I
Cube Roots Of Unity_Part II
Polar Form Of Complex Number _Theory
Polar Form Of Complex Number_Problems Discussion
Problems Based On Modulus And Argument Of Complex Number_Part I
Problems Based On Modulus And Argument Of Complex Number_Part II
Multiplication And Division Of Complex Numbers In Polar Form_Part I
Multiplication And Division Of Complex Numbers In Polar Form_Part II
Demoivres Theorem
Product Of Complex Number And Its Conjugate Equals The Square Of Modulus Of Complex Number
Problems Based On Unimodular Complex Number
Collinearity Of Two Non-Zero Complex Numbers And Origin
Inequalities Involing Complex Nummbers
Locus_Line Segement, Rays, Ellispe And Hyperbola
Equation Of Circle Using Modulus _Part I
Equation Of Circle Using Modulus _Part II
Locus Based On Argument Of Complex Number_Equation Of Ray
Angle Between Two Lines In Argand Plane
Rotation Formula_Part I
Rotation Formula_Part II
Equation Of Straight Line In Complex Numbrer
Nth Roots Of Unity_Theory
Nth Roots Of Unity_Problems Discussion

7. Progression and Series

Sequence and series
Arithmetic progression. Introduction
Arithmetic mean of two numbers
Selection of terms in AP
Properties of AP
Arithmetic means
Sum of A.P._ I
Sum of A.P._ II
Geometric Progression. Introduction
Geometric mean of two numbers
Selection of terms of G.P.
Properties of G.P.
Geometric means
Sum of terms of G.P._ I
Sum of terms of G.P._ II
Applications of sum of GP
Infinite G.P. and its sum
Harmonic Progression_ I
Harmonic Progression_ II
Harmonic Means
Relations between AM, GM and HM
Sum Of Series Using Sigma Notation Part I
Sum Of Series Using Sigma Notation Part II
Arithmetico-Geometric Progression
Multiple Sigma Of Multiple Variables
Sum Of Series By Method Of Cancellation Part I
Sum Of Series By Method Of Cancellation Part II

8. Permutation and Combination

Counting Principle_Part I
Counting Principle_Part II
Factorial Notation
Exponent Of Prime In Factorial
Permutation Formula
Permutations With Restrictions_Part I
Permutations With Restrictions_Part II
Permutations With Identical Objects
Combinations Formula
Properties Of Combinations Formula
Problems Based On Combinations_Part I
Problems Based On Combinations_ Part II
Combination And Arrangement
Problems Based On Chessboard
Selection From Objects Which Are Not All Distinct
Circular Permutations
All Possible Selection From Distinct Objects
All Possible Selection From Identical Objects
Divisors Of Natrual Number
Division And Distribution Of Distinct Objects_Unequal Fiixed Group
Division And Distribution Of Distinct Objects_Mix Of Equal And Unequal Fixed Groups
Distribution Of Distint Objects In Any Way
Distrbition Of Identical Objects_Theory
Distribution Of Identical Objects _Problems Discussion
Distribution Of Identical Objects_Applications
Principle Of Inclusion And Exclusion
Derangement
Multinomial Theorem

9. Binomial Theorem

Binomial Theorem_Introduction
Binomial Theorem Problems Discussion_Part I
Binomial Theorem Problems Discussion_Part II
Conjugate Binomials
Middle Term In Binomial Expansion
Finding Coefficient Of The Term In The Expansion_Part I
Finding Coefficient Of The Term In The Expansion_Part II
Finding Coefficient Of The Term In The Expansion_Part III
Greatest Term In Binomial Expansion
Applications Of Binomial Theorem_Part I
Applications Of Binomial Theorem_Part II
Multinomial Theorem
Sum Of Coefficients In Binomial Expansion
Binomial Theorem With Complex Numbers
Sum Of Coefficients In Any Expansion
Series Based On Binomial Coefficients_Part I
Series Based On Binomial Coefficients_Part II
Series Of Coefficients Resulting From Product Of Two Expansions_Part I
Series Of Coefficients Resulting From Product Of Two Expansions_Part II
Sum Of Special Series
Binomial Theorem For Any Index_Theory
Binomial Theorem For Any Index_Problems Discussion

10. Probability

Experiment And Sample Space
Event
Axiomatic Approach To Probability
Probability Based On Permutation And Combination Part I
Probability Based On Permutation And Combination Part II
Probability Based On Permutation And Combination Part III
Addition Theorem Of Probability

11. Statistics

Measures Of Dispersion Introduction
Measures Of Dispersion Of Ungrouped Data
Measures Of Dispersion Of Discrete Frequency Distribution
Measures Of Dispersion Of Continuous Frequency Distribution And Coefficient Of Variation

12. Mathematical Reasoning

Mathematical Reasoning Introduction
Compound Statement Using Logical Connective And
Logical Connective Or Logical Equivalence Distributive Property Of Basic Logical Connective
Tautology And Fallacy
Negation Of Compound Statement
Conditional Statement
Converse, Inverse, Contrapositive, And Bicondional Statement

Trigonometry

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1. Trigonometric functions

Trigonometric Ratios Of Acute Angles Part I
Trigonometric Ratios Of Acute Angles Part II
Problems Based On Trigonometric Identities
Degree And Radian Measure Of An Angle
Angle In Trigonometry
Trigonometric Ratios Of Angles Exceeding Right Angle
Trigonometric Ratios Of Allied Angles Theory
Trigonometric Ratios Of Allied Angles Problems Discussion
Graphs Of Sinx And Cos X
Graphs Of Secx, Cosecx, Tanx And Cotx
Range Of Functions Involving Trigonometric Functions

2. Trigonometric ratios and transformation formulas

Compound Angle Formulas Of Sine An Cosine Part I
Compound Angle Formulas Of Sine And Cosine Part II
Expression Acos X + Bsin X
Compound Angle Formulas Of Tangent
Transformation Formulas Product To Addition And Difference
Transformation Formulas Sum And Difference To Product
Trigonometric Ratios Of Multiple Angles Part I
Trigonometric Ratios Of Multiple Angles Part II
Trigonometric Ratios Of Multiple Angles Part III
Trigonometric Ratios Of Multiple Angles Part IV
Conditional Identities Cengage
Values Of Sine And Cosine For 18 Degrees And 36 Degrees
Important Results Using Trig. Ratios Of Multiple Angles
Sum Of Series In Sine And Cosine Having Angles In A.P.
Finding Range Of Expression Using Trigonometric Substitution
Trigonometric Inequalities In Triangle

3. Trigonometric Equations

Elementary Trigonometric Equations Part I
Elementary Trigonometric Equations Part II
Precautionary Things In Solving Trigonometric Equations
Trig. Equations Whose Solution Set Contain Quadrant Angles
General Solution Of The Equation Cos X = K
General Solution Of The Equation Sin X = K
General Solution Of The Equation A Cos X + B Sin X = C
General Solution Of The Equation Tan X = K
General Solution Of The Equation Square Of The Trig. Function Equals Constant
Solving Trig. Eq. Using Maximum And Minimum Values Of Functions
Graphical Approach To Solve Equations And Inequalities

4. Properties of Triangle

Properties Of Triangle And Solutions Of Triangle Introduction
Sine Rule Part I
Sine Rule Part II
Cosine Rule Part I
Cosine Rule Part II
Projection Rule
Tangent Rule And M-N Theorem
Half Angle Formulas
Area Of Triangle Part I
Area Of Triangle Part II
Relation Between Area And Inradius Of The Triangle
Angles And Lengths Associated With The Circumcenter Of The Triangle
Angles And Lengths Associated With The Incenter Of The Triangle Part I
Angles And Lengths Associated With The Incenter Of The Triangle Part II
Angles And Lengths Associated With The Incenter Of The Triangle Part III
Angles And Lengths Associated With The Orthocener Of The Triangle Part I
Angles And Lengths Associated With The Orthocener Of The Triangle Part II
Properties Of Medians And Centroid Of Triangle
Geometry Related To Excenters Of Triangle
Exradii And Excenters Of Triangle Problems Discussion
Regular Polygon

5. Height and Distance

Height And Distance Problems Based On Right Angled Triangle
Height And Distance Problems Based On Trig. Ratios Of Compound Angles And Multiple Angles
Height And Distance Problems Based On Sine And Cosine Rule

Coorindate Geometry

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1. Coordinate System

Two Dimensional Coordinate System
Distance Formula
Shifting Of Origin Translation Of Axes
Rotation Of Axes
Section Formula Part I
Section Formula Part II
Area Of Polygon
Coordinates Of Centroid Of Triangle
Coordinates Of Circumcenter Of Triangle
Coordinates Of Orthocenter Of Triangle
Coordinates Of Incenter Of Triangle
Slope Of Line
Angle Between Two Lines
Equation Of Locus Of Point I
Equation Of Locus Of Point II
Equation Of Locus Of Point Part III
Equation Of Locus Of Point Part IV
Division Of Plane By Straight Line

2. Straight Lines

Equation Of Straight Line In Different Forms
Equation Of Line_Problems Discussion_Part I
Equation Of Line_Problems Discussion_Part II
Equation Of Line_Problems Discussion_Part III
Equation Of Straight Line_Paramteric Form
Distance Of Point From The Line_Part I
Distance Of Point From The Line_Part II
Distance Between Parallel Lines
Positions Of Points W.R.T. Line On The Plane
Coordinates Of Image Of Point In The Line
Concurrency Of Three Lines
Equations Of Angle Bisectors_Part I
Equations Of Angle Bisectors_Part II
Family Of Straight Lines_Part I
Family Of Straight Lines_Part II

3. Pair of Straight Lines

Pair Of Straight Lines Introduction
Standard Second Degree Equation Of Pair Of Striaght Lines
Pair Of Straight Lines Through Origin
Equation Of Angle Bisectors And Homogenization

4. Circles

Equation Of Circle In Center-Radius Form
General Equation Of Circle
Equation Of Circle In Two Points-Angle Form
Equation Of Circle In Parametric Form
Locus Problems Based On Circle
Equation Of Chord Biseted At A Given Point
Position Of Point W.R.T. Circle
Lenght Of Tangent To Circle
Position Of Line W.R.T. Circle
Equation Of Tangent To Circle At A Given Point On It
Equation Of Tangent To Circle Having Given Slope
Tangents To Circle From External Point
Chord Of Contact Of Circle
Director Circle Of A Given Circle
Radical Axis Of Two Circles
Two Non-Intersecting Circles
Two Circles Touching Each Other
Two Intersecting Circles
Angle Of Inetersection Of Circles
Family Of Circles

5. Parabola

Parabola_Definition
Standard equation of parabola
Paramteric equations of parabola
Parabola having its axis parallel to y-axis
Parabola having its axis parallel to x-axis
Division of plane by parabola
Equation of midpoint chord of parabola
Focal chord of parabola and its properties
Tangent to parabola having equation y^2=4ax_Part I
Tangent to parabola having equation y^2=4ax_Part II
Tangent to parabola having eq.n other than y^2=4ax
Point of intersection of tangents to paraboya y^2=4ax
Locus problems of pt. of interesection of tangents to parabola
Tangent to parabola from a point not lying on the curve
Chord of contact of parabola
Normal to parabola at a point on it or having given slope
Normal to parabola from a point not lying on it
Properties of normal to parabola
Conormal points of parabola and its properties

6. Ellipse

Ellipse Definition
Standard Equation Of Ellipse
Problems Based On Standard Equation Of Ellipse Part I
Problems Based On Standard Equation Of Ellipse Part II
Equation Of Ellipse Having Axes Parallel To Coordinate Axes
Problems Based On Focal Property Of Ellipse
Equation Of Ellipse Having Any Two Perpendicular Lines As Its Axes
Equation Of Ellipse In Parametric Form Part I
Equation Of Ellipse In Parametric Form Part II
Properties Of Ellipse
Equation Of Tangent To Ellipse Theory
Equation Of Tangent To Ellipse Problems Discussion Part I
Equation Of Tangent To Ellipse Problems Discussion Part II
Director Circle Of Ellipse
Properties Of Tangent To Ellipse
Normal To Ellipse

7. Hyperbola

Hyperbola Definition 1
Hyperbola Definition 2
Standard Equation Of Hyperbola
Problems Based On Standard Equation Of Hyperbola
Equation Of Hyperbola Having Axes Parallel To Coordinate Axes
Eq. Of Hyperbola Having Given Two Lines As Its Axes
Rectangular Hyperbola xy=C^2
Equation Of Hyperbola In Parametric Form
Parametric Equations Of Hyperbola xy=C^2
Chords Of Hyperbola
Tangent To Hyperbola At A Point On It
Asymptotes To Hyperbola
Tangent To Hyperbola Having Given Slope Part I
Tangent To Hyperbola Having Given Slope Part II
Tangents To Hyperbola From A Point Not Lying On The Curve
Normal To Hyperbola Part I
Normal To Hyperbola Part II
Properties Of Tangent To Hyperbola
Orthogonal Intersection Of Ellipse And Hyperbola

Class 12th

Algebra/Vector & 3D Geometry

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+2_Algebra 1. Determinant

Determinant Definition And Expansion Part I
Determinant Definition And Expansion Part II
Sarrus rule of expansion
Properties Of Determinant Theory Part I
Properties Of Determinant Theory Part II
Problems Based On Properties Of Determinant Part I(Ncert Based)
Problems Based On Properties Of Determinant Part Ii(Ncert Based)
Problems Based On Properties Of Determinant Part III
Problems Based On Properties Of Determinant Part I
Problems Based On Properties Of Determinant Part V
Product Of Determinants Part I
Product Of Determinants Part II
Differentiation Of Determinant Cengage-1
System Of Linear Equations In Three Variables Part I Cengage-1
System Of Linear Equations In Two Variables Cengage-1
System Of Linear Equations In Three Variables Part II

2. Matrices

Matrix_Introduction
Classification Of Matrices
Important Things About Matrix
Addition Of Matrices
Multiplication Of Matrix By Scalar
Product Of Matrices_Theory
Product Of Matrices_Problems Discussion
Elementary Properties Of Product Of Matrice
Associative Property Of Matrix Multiplication
Commutative Property Of Product Of Matrices
Transpose Of Product Of Matrices
Determinant Of Product Of Matrices
Some Special Matrices
Adjoint of matrix
Properties Of Adjoint Of Matrix
Inverse Of Matrix
Properties Of Inverse Of Matrix_Part I
Properties Of Inverse Of Matrix_Part II
Inverse Of Matrix Using Elementary Transformations
Solving System Of Equations Using Matrix

3. Probability

Conditional Probability
Multiplication Rule Of Probability
Independent Events
Total Probability Theorem
Bayes Theorem
Random Variable And Its Probability Distribution

+2_Vector and 3D Geometry_O 1. 3D coordinate system

3D coordinate system
Understanding 3d coordinates
Problems based on 3D coordinate system
Distance formula
Section formula_Part I
Section formula_Part II
Equation of sphere_Part I
Equation of sphere_Part II

2. Introduction to Vectors

Introduction to Vectors
Direction of vector
Algebra of Vectors & Angle between Vectors
Section Formula
Problems based on algebra of vectors_Part I
Problems based on algebra of vectors_Part II
Components of vector on axes
Problems_Components of vector on axes_Part I
Problems_Components of vector on axes_Part II
Linear combination of vectors
Problems based on linear combintion of vectors_Part I
Problems based on linear combintion of vectors_Part II

3. Different Product of Vectors

Dot Product_Theory
Problems based on dot product
Dot product_Square of sum of vectors
Solving Vector equations using dot product
Cross product_Theory
Problems based on cross product_Part I
Problems based on cross product_Part II
Cross product as area of parallelogram
Cross product_JEE problames
Scalar triple product_definition
Problems based on STP
Properties of STP
STP as volume of parallelepiped
Vector triple product_Part I
Vector triple product_Part II
Vector triple product_Part III
Solving vector equations using VTP
Reciprocal system of vectors

4. Line and Plane

Direction of line in space
Equation of line_theory
Equation of line_Problems discussion_Part I
Equation of line_Problems discussion_Part II
Distance of point from the line
Coplanar and non-coplanar lines
Angle between two lines
Shortest distance between non-intersecting lines
Equation of plane_Part I
Equation of plane_Part II
Normal and intercept form of plane
Family of planes
Line of intersection of planes
Distance of point from the plane
Different sides of plane
Angle between two planes
Angle bisectors of planes
Foot of perpendicular from a point on the plane_reflection of a point in the plane
Different Cases Of Line And Plane

Calculus / ITF

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1. Functions

Function_definition
Different types of relations
Cartesian product and relation
Sign Scheme (Weavy Curve) Method for Solving Ineqalities Part_I
Sign Scheme (Weavy Curve) Method for Solving Ineqalities Part_II
Applications of Sign Scheme Method
Concept of Squaring in Inequalities
Concept of Reciprocal in Inequalities
Functions Involving Quadratic Expressions
Functions Involving Quadratic Expressions Part_II
Trigonometric Functions Part_I
Trigonometric Functions Part_II
Functions involving ITF
Exponential Function
Logarithmic Functions_Part I
Logarithmic Functions_Part II
Applications of Logarithmic Inequalities
Greatest Integer Function
Properties of GIF
Graph of GIF and its applications
Fractional part function
Graph of Fractional Part Function and its Applications
Signum Function
Function max. of and min. of
Identical Functions
Identifying Injective and Surjective Nature of the Function_Part I
Identifying Injective and Surjective Nature of the Function_Part II.11924.121761
Odd and Even functions
Properties of odd and even functions
Functional Equations of Odd and Even Functions
Periodic Functions
Period of Transformed and Composite Functions
Period of Function Obtained by Algebraic Operations of Functions
Functional Equations of Periodic Functions
Inverse Function Part_I
Inverse function_Part II
Properties of inverse functions
Composite functions
Definition of composite functions
Injectivity and surjectivity of composite functions
Finding function from funcational equations
Transformation of graphs
Transformation of graphs involving modulus
Function based on max.-min value in variable interval

2. Limits

Introduction to limit of function
Problems based on existence of limit_Part I
Problems based on existence of limit_Part II
Rule of limit of function
Indeterminate forms of limit
Evaluating limit by cancelling common factor_PArt I
Evaluating limit by cancelling common factor_Part II
Standard algebraic limit
Limit of algebraic functions at infinity_Part I
Limit of algebraic functions at infinity_Part II
Evaluating limit using expansion of function
Standard trigonometric limit_Part I
Standard trigonometric limit_Part II
Trigonometric limit_Part III
Limit of function involving ITF
Exponential limit
Logarithmic limit
One power infinity
One power infinity
L'Hospital rule
L'Hospital rule to evaluate indeterminate forms

3. Differentiation

Derivative_Introduction
Problems based on first definition of derivative
Derivative of some standard functions
Product and quotient rule of differentiation
Chain rule of differentiation
Diff. of function involving ITF
Differentiation of inverse of given function
Differentiation of implicit functions
Differentiation using logarithm
Differentiation of parametric form of equations
Higher order derivatives
Successive differentiation of parametric form of equations
Differentiation of functional equations_Part I
Differentiation of functional equations_Part II

4. Continuity and Differentiability

Continuity Of Function Definition
Different types of discontinuity of functions
Problems based on missing point discontinuity
Finding unknowns using continuity
Continuity of functions involving GIF_Part I
Continuity of functions involving GIF_Part II
Continuity of function sgn(f(x))
Continuity of miscellaneous functions_Part I
Continuity of Miscellaneous Functions Part II
Continuity of functions obtained by alg. operations of functions
Differentiability_definition
Differentiability using first definition of derivative_Part I
Differentiability using first definition of derivative_Part II
Differentiability using differentiation
Differentiability of functions involving ITF
Diff. of functions obtained by algebraic operations of functions

5. Application of Derivatives

Slope of tangent and normal
Tangent-normal at a given point on the curve
Tangent-normal having given slope
Tangent-normal from a point not lying on the curve
Derivative as Rate of Change
Approximation using derivative
Rolle' Theorem
Selection of function for Rolle' theorem
Mean value theorem
Selection of function for mean value theorem
Proving inequalities using mean value theorem
Cauchy's Mean Value Theorem-1

6. Monotonicity an maxima-minima

Increasing-decreasing functions
Monotonicity of differentiable functions
Separatin the intervals of monotonicity of non-monotonic functions_Part I
Separatin the intervals of monotonicity of non-monotonic functions_Part II
Finding-relating unknowns using monotonicity
Proving inequalities using monotonicity_Part I
Proving inequalities using monotonicity_Part II
Proving inequalities using monotonicity_Part III
Concavity of curve
Point of inflection
Maxima-minima_Definition
Maxima-minima of differentiable functions_Part I
Maxima-minima of differentiable functions_Part II
Maxima-minima of differentiable functions_Part III
Maxima-minima of non-differentiable functions_Part I
Maxima-minima of non-differentiable functions_Part II
Applications of maxima-minima in optimization
Applications of maxima-minima in plane geometry-coordinate geometry
Use of trigonometry in applications of maxima-minima
Applications of maxima-minima in solid geometry

7. Indefinite Integration

Indefinite integration_Introduction
Elementary integration problems
Integration of f(ax + b)
Integrand_(f(g(x)))g'(x)
Integrand_f'(x) upon f(x)
Integration of tan, cot, sec, cosec
Integrand ((f(x))^n)f'(x)
Substitution techniques in integration_Part I
Substitution techniques in integration_Part II
Integration using trigonometric substitution
Integrand_Reciprocal of quadratic
Integrand involving biquadratic expression
Trigo. integrand reducible to reciprocal of quadrtic
Integrand_Reciprocal of square root of quadratic
Practice problems
Integration by partial fractions_Part I
Integration by partial fractions_Part II
Integration by parts_Part I
Integration by parts_Part II
Integrand_(e^ax)sinbx or (e^ax)cosbx
Integrand_Square root of quadratic
Integrand_(e^x)(f(x)+f'(x))
Integration by cancellation

8. Definite Integration

Definite integration as area function_Part I
Definite integration as area function_Part II
Elementary properties of definite integration_Part I
Elementary properties of definite integration_Part II
Definite integration using fundamental theorem
Definite integration by substitution_Part I
Definite integration by substitution_Part II
Definite integration by parts_Part I
Definite integration by parts_Part II
Definite integration by reciprocal substitution
Comparison of definite integrals
Definite integral as limit of sum_Part I
Definite integral as limit of sum_Part II
Function as definite integral
Inequalities involving definite integral_Part I
Inequalities involving definite integral_Part II
Definite integral as limit of sum_Part I
Definite integral as limit of sum_Part II
Property of DI_Replacing x by sum of limits minus x
Properties of D.I._Halving the upper limit
D.I. of log(sin x) or log(cos x) between limits 0 and pi by 2
D.I. of odd and even functions
Definite integration of periodic functions
Leibniz rule_Introduction
Finding limit of function using leibniz rule
Definite integration_Applications of leibniz rule in monotonicity of function
Leibniz rule when integrand is function of two independent variables
Leibniz rule_Higher level problems
Reduction formula in definite integration

9. Area

Area bounded by curve and axis_Part I
Area bounded by curve and axis_Part II
Area bounded by curves_Part I
Area bounded by curves_Part II
Area involving Trig. Functions
Area involvoing logarithmic function
Area involving implicit functions
Finding area without integration

10. Differential Equation

Differential equations_Part I
Differential equations_Part II
Differential equations of Variable seperable type
Homogeneous differential equations_Part I
Homogeneous differential equations_Part II
General form of variable separable type
Linear Differential equations
Diff. Equn. reducible to LDE
Miscellaneous_Linear Diff. Equations
Applications of differential equations_Part I

11. Inverse Trigonometric Functions(ITF)

Inverse Trigonometric Functions Definition
Graphs Of Inverse Trigonometric Functions
Composition Of Trigonometric Function And Its Inverse Function
Problems Based On Definition Of Itfs Part I
Problems Based On Definition Of Itfs Part II
Functions - Sin Inverse Of Sine And Cosec Inverse Of Cosecant
Functions Cos Inverse Of Cosine And Sec Inverse Of Secant
Functions Tan Inverse Of Tangent And Cot Inverse Of Cotangent
Writing One Itf In The Fomr Of Other Itfs
Inverse Trigonometric Functions Of Minus X
Inverse Trigonometric Functions Of Reciprocal Of X
Simplifying Inverse Trigonometric Functions Using Substitution
Complimentary Angles In The Form Of Itfs
Addition Of Angles In The Form Of Tan Inverse Function Part I
Addition Of Angles In The Form Of Tan Inverse Function Part II
Addition Of Angles In The Form Of Tan Inverse Function Part III
Sum Of Series Involving Tan Inverse Function
Addition Of Angles In The Form Of Cos Inverse Function

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