Description

This package includes video lectures on all topics of +1 by Mr. Ghanshyam Tewani, the author of top selling books on JEE Main and Advanced published by Cengage Learning. It covers Algebra, Trigonometry, Coordinate Geometry, Calculus +1. These video lectures are useful for students preparing for CBSE, JEE Main and JEE Advanced. Each chapter is divided into parts according to the different concepts in that chapter. These video lectures are live class room lectures taken by Mr. Ghanshyam Tewani.

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Class 11th - Algebra

1. Sets, Relation and Function
  1. Introduction to set
  2. Subset and power set
  3. Intersectoin of sets
  4. Union of sets
  5. Difference of sets
  6. Complement of sets
  7. Properties of Operations on Sets
  8. Subsets Of Set Of Real Numbers . Intervals
  9. Cardinal number of set
  10. Cartesian Product Of Sets
  11. Cartesian product and relation
  12. Function. definition
2. Inequalities. Domain and Range of Elementary Functions
  1. Linear inequalities in one variable
  2. Values Of X^2 From Values Of X
  3. Values Of Reciprocal Of X From Values Of X
  4. Sign Scheme (Wavy Curve) Method For Solving Inequalities_ I
  5. Sign Scheme (Wavy Curve) Method For Solving Inequalities_ II
  6. Range Of Elementary Functions_ I
  7. Range Of Elementary Functions_ II
3. Absolute value of Real Number
  1. Absolute Value (Modulus) Of Real Number. Introduction
  2. Properties Of Modulus Of Real Number
  3. Inequalities Of Modulus Of Real Numbers
  4. Modulus Of Any Expression
  5. Modulus Of Sum Of Real Numbers
4. Logarithm
  1. Exponential Function
  2. Logarithm And Logarithmic Function
  3. Properties Of Logarithm Part I
  4. Properties Of Logarithm Part II
  5. Logarithmic Equations
  6. Logarithmic Inequalities
5. Theory of Equations
  1. Polynomial Expression And Equation
  2. Graph Of Polynomial Expression
  3. Polynomial Equations Reducible To Quadratic Equation
  4. Remainder And Factor Theorem
  5. Identity
  6. Important Points In Solving The Equation
  7. Real And Non-Real Roots_ I
  8. Real And Non-Real Roots_ II
  9. Rational And Irrational Roots Of Quadratic Equation
  10. Applications Of Discriminant
  11. Relation Between Roots And Coefficients Of Quadratic Equation_ I
  12. Relation Between Roots And Coefficients Of Quadratic Equation_ II
  13. Relation Between Roots And Coefficients Of Quadratic Equation_ III
  14. Polynomial Equations Of Higher Degree
  15. One Common Root_ I
  16. One Common Root_ II
  17. Two Common Roots
  18. Graph Of Quadratic Function
  19. Graphical Analysis Of Quadratic Function. Theory
  20. Graphical Analysis Of Quadratic Function Problems Discussion_ I
  21. Graphical Analysis Of Quadratic Function Problems Discussion_ II
  22. Location Of Roots Of Quadratic Equation. Theory
  23. Location Of Roots Of Quadratic Equation. Problems Discussion
6. Complex Numbers
  1. Imaginary Number
  2. Complex Number Structure And Plogtting
  3. Algebraic Operations On Complex Numbers
  4. Properties Of Conjugate Of Complex Number
  5. Equality Of Complex Numbers And Its Applications
  6. Cube Roots Of Unity_Part I
  7. Cube Roots Of Unity_Part II
  8. Polar Form Of Complex Number _Theory
  9. Polar Form Of Complex Number_Problems Discussion
  10. Problems Based On Modulus And Argument Of Complex Number_Part I
  11. Problems Based On Modulus And Argument Of Complex Number_Part II
  12. Multiplication And Division Of Complex Numbers In Polar Form_Part I
  13. Multiplication And Division Of Complex Numbers In Polar Form_Part II
  14. Demoivres Theorem
  15. Product Of Complex Number And Its Conjugate Equals The Square Of Modulus Of Complex Number
  16. Problems Based On Unimodular Complex Number
  17. Collinearity Of Two Non-Zero Complex Numbers And Origin
  18. Inequalities Involing Complex Nummbers
  19. Locus_Line Segement, Rays, Ellispe And Hyperbola
  20. Equation Of Circle Using Modulus _Part I
  21. Equation Of Circle Using Modulus _Part II
  22. Locus Based On Argument Of Complex Number_Equation Of Ray
  23. Angle Between Two Lines In Argand Plane
  24. Rotation Formula_Part I
  25. Rotation Formula_Part II
  26. Equation Of Straight Line In Complex Numbrer
  27. Nth Roots Of Unity_Theory
  28. Nth Roots Of Unity_Problems Discussion
7. Progression and Series
  1. Sequence and series
  2. Arithmetic progression. Introduction
  3. Arithmetic mean of two numbers
  4. Selection of terms in AP
  5. Properties of AP
  6. Arithmetic means
  7. Sum of A.P._ I
  8. Sum of A.P._ II
  9. Geometric Progression. Introduction
  10. Geometric mean of two numbers
  11. Selection of terms of G.P.
  12. Properties of G.P.
  13. Geometric means
  14. Sum of terms of G.P._ I
  15. Sum of terms of G.P._ II
  16. Applications of sum of GP
  17. Infinite G.P. and its sum
  18. Harmonic Progression_ I
  19. Harmonic Progression_ II
  20. Harmonic Means
  21. Relations between AM, GM and HM
  22. Sum Of Series Using Sigma Notation Part I
  23. Sum Of Series Using Sigma Notation Part II
  24. Arithmetico-Geometric Progression
  25. Multiple Sigma Of Multiple Variables
  26. Sum Of Series By Method Of Cancellation Part I
  27. Sum Of Series By Method Of Cancellation Part II
8. Permutation and Combination
  1. Counting Principle_Part I
  2. Counting Principle_Part II
  3. Factorial Notation
  4. Exponent Of Prime In Factorial
  5. Permutation Formula
  6. Permutations With Restrictions_Part I
  7. Permutations With Restrictions_Part II
  8. Permutations With Identical Objects
  9. Combinations Formula
  10. Properties Of Combinations Formula
  11. Problems Based On Combinations_Part I
  12. Problems Based On Combinations_ Part II
  13. Combination And Arrangement
  14. Problems Based On Chessboard
  15. Selection From Objects Which Are Not All Distinct
  16. Circular Permutations
  17. All Possible Selection From Distinct Objects
  18. All Possible Selection From Identical Objects
  19. Divisors Of Natrual Number
  20. Division And Distribution Of Distinct Objects_Unequal Fiixed Group
  21. Division And Distribution Of Distinct Objects_Mix Of Equal And Unequal Fixed Groups
  22. Distribution Of Distint Objects In Any Way
  23. Distrbition Of Identical Objects_Theory
  24. Distribution Of Identical Objects _Problems Discussion
  25. Distribution Of Identical Objects_Applications
  26. Principle Of Inclusion And Exclusion
  27. Derangement
  28. Multinomial Theorem
9. Binomial Theorem
  1. Binomial Theorem_Introduction
  2. Binomial Theorem Problems Discussion_Part I
  3. Binomial Theorem Problems Discussion_Part II
  4. Conjugate Binomials
  5. Middle Term In Binomial Expansion
  6. Finding Coefficient Of The Term In The Expansion_Part I
  7. Finding Coefficient Of The Term In The Expansion_Part II
  8. Finding Coefficient Of The Term In The Expansion_Part III
  9. Greatest Term In Binomial Expansion
  10. Applications Of Binomial Theorem_Part I
  11. Applications Of Binomial Theorem_Part II
  12. Multinomial Theorem
  13. Sum Of Coefficients In Binomial Expansion
  14. Binomial Theorem With Complex Numbers
  15. Sum Of Coefficients In Any Expansion
  16. Series Based On Binomial Coefficients_Part I
  17. Series Based On Binomial Coefficients_Part II
  18. Series Of Coefficients Resulting From Product Of Two Expansions_Part I
  19. Series Of Coefficients Resulting From Product Of Two Expansions_Part II
  20. Sum Of Special Series
  21. Binomial Theorem For Any Index_Theory
  22. Binomial Theorem For Any Index_Problems Discussion
10. Probability
  1. Experiment And Sample Space
  2. Event
  3. Axiomatic Approach To Probability
  4. Probability Based On Permutation And Combination Part I
  5. Probability Based On Permutation And Combination Part II
  6. Probability Based On Permutation And Combination Part III
  7. Addition Theorem Of Probability
11. Statistics
  1. Measures Of Dispersion Introduction
  2. Measures Of Dispersion Of Ungrouped Data
  3. Measures Of Dispersion Of Discrete Frequency Distribution
  4. Measures Of Dispersion Of Continuous Frequency Distribution And Coefficient Of Variation
12. Mathematical Reasoning
  1. Mathematical Reasoning Introduction
  2. Compound Statement Using Logical Connective And
  3. Logical Connective Or Logical Equivalence Distributive Property Of Basic Logical Connective
  4. Tautology And Fallacy
  5. Negation Of Compound Statement
  6. Conditional Statement
  7. Converse, Inverse, Contrapositive, And Bicondional Statement

Class 11th - Coordinate Geometry

1. Coordinate System
  1. Two Dimensional Coordinate System
  2. Distance Formula
  3. Shifting Of Origin Translation Of Axes
  4. Rotation Of Axes
  5. Section Formula Part I
  6. Section Formula Part II
  7. Area Of Polygon
  8. Coordinates Of Centroid Of Triangle
  9. Coordinates Of Circumcenter Of Triangle
  10. Coordinates Of Orthocenter Of Triangle
  11. Coordinates Of Incenter Of Triangle
  12. Slope Of Line
  13. Angle Between Two Lines
  14. Equation Of Locus Of Point I
  15. Equation Of Locus Of Point II
  16. Equation Of Locus Of Point Part III
  17. Equation Of Locus Of Point Part IV
  18. Division Of Plane By Straight Line
2. Straight Lines    
  1. Equation Of Straight Line In Different Forms
  2. Equation Of Line_Problems Discussion_Part I
  3. Equation Of Line_Problems Discussion_Part II
  4. Equation Of Line_Problems Discussion_Part III
  5. Equation Of Straight Line_Paramteric Form
  6. Distance Of Point From The Line_Part I
  7. Distance Of Point From The Line_Part II
  8. Distance Between Parallel Lines
  9. Positions Of Points W.R.T. Line On The Plane
  10. Coordinates Of Image Of Point In The Line
  11. Concurrency Of Three Lines
  12. Equations Of Angle Bisectors_Part I
  13. Equations Of Angle Bisectors_Part II
  14. Family Of Straight Lines_Part I
  15. Family Of Straight Lines_Part II
3. Pair of Straight Lines
  1. Pair Of Straight Lines Introduction
  2. Standard Second Degree Equation Of Pair Of Striaght Lines
  3. Pair Of Straight Lines Through Origin
  4. Equation Of Angle Bisectors And Homogenization
4. Circles
  1. Equation Of Circle In Center-Radius Form
  2. General Equation Of Circle
  3. Equation Of Circle In Two Points-Angle Form
  4. Equation Of Circle In Parametric Form
  5. Locus Problems Based On Circle
  6. Equation Of Chord Biseted At A Given Point
  7. Position Of Point W.R.T. Circle
  8. Lenght Of Tangent To Circle
  9. Position Of Line W.R.T. Circle
  10. Equation Of Tangent To Circle At A Given Point On It
  11. Equation Of Tangent To Circle Having Given Slope
  12. Tangents To Circle From External Point
  13. Chord Of Contact Of Circle
  14. Director Circle Of A Given Circle
  15. Radical Axis Of Two Circles
  16. Two Non-Intersecting Circles
  17. Two Circles Touching Each Other
  18. Two Intersecting Circles
  19. Angle Of Inetersection Of Circles
  20. Family Of Circles
5. Parabola
  1. Parabola_Definition
  2. Standard equation of parabola
  3. Paramteric equations of parabola
  4. Parabola having its axis parallel to y-axis
  5. Parabola having its axis parallel to x-axis
  6. Division of plane by parabola
  7. Equation of midpoint chord of parabola
  8. Focal chord of parabola and its properties
  9. Tangent to parabola having equation y^2=4ax_Part I
  10. Tangent to parabola having equation y^2=4ax_Part II
  11. Tangent to parabola having eq.n other than y^2=4ax
  12. Point of intersection of tangents to paraboya y^2=4ax
  13. Locus problems of pt. of interesection of tangents to parabola
  14. Tangent to parabola from a point not lying on the curve
  15. Chord of contact of parabola
  16. Normal to parabola at a point on it or having given slope
  17. Normal to parabola from a point not lying on it
  18. Properties of normal to parabola
  19. Conormal points of parabola and its properties
6. Ellipse
  1. Ellipse Definition
  2. Standard Equation Of Ellipse
  3. Problems Based On Standard Equation Of Ellipse Part I
  4. Problems Based On Standard Equation Of Ellipse Part II
  5. Equation Of Ellipse Having Axes Parallel To Coordinate Axes
  6. Problems Based On Focal Property Of Ellipse
  7. Equation Of Ellipse Having Any Two Perpendicular Lines As Its Axes
  8. Equation Of Ellipse In Parametric Form Part I
  9. Equation Of Ellipse In Parametric Form Part II
  10. Properties Of Ellipse
  11. Equation Of Tangent To Ellipse Theory
  12. Equation Of Tangent To Ellipse Problems Discussion Part I
  13. Equation Of Tangent To Ellipse Problems Discussion Part II
  14. Director Circle Of Ellipse
  15. Properties Of Tangent To Ellipse
  16. Normal To Ellipse
7. Hyperbola
  1. Hyperbola Definition 1
  2. Hyperbola Definition 2
  3. Standard Equation Of Hyperbola
  4. Problems Based On Standard Equation Of Hyperbola
  5. Equation Of Hyperbola Having Axes Parallel To Coordinate Axes
  6. Eq. Of Hyperbola Having Given Two Lines As Its Axes
  7. Rectangular Hyperbola xy=C^2
  8. Equation Of Hyperbola In Parametric Form
  9. Parametric Equations Of Hyperbola xy=C^2
  10. Chords Of Hyperbola
  11. Tangent To Hyperbola At A Point On It
  12. Asymptotes To Hyperbola
  13. Tangent To Hyperbola Having Given Slope Part I
  14. Tangent To Hyperbola Having Given Slope Part II
  15. Tangents To Hyperbola From A Point Not Lying On The Curve
  16. Normal To Hyperbola Part I
  17. Normal To Hyperbola Part II
  18. Properties Of Tangent To Hyperbola
  19. Orthogonal Intersection Of Ellipse And Hyperbola

Class 11th - Trigonometry

1. Trigonometric functions
  1. Trigonometric Ratios Of Acute Angles Part I
  2. Trigonometric Ratios Of Acute Angles Part II
  3. Problems Based On Trigonometric Identities
  4. Degree And Radian Measure Of An Angle
  5. Angle In Trigonometry
  6. Trigonometric Ratios Of Angles Exceeding Right Angle
  7. Trigonometric Ratios Of Allied Angles Theory
  8. Trigonometric Ratios Of Allied Angles Problems Discussion
  9. Graphs Of Sinx And Cos X
  10. Graphs Of Secx, Cosecx, Tanx And Cotx
  11. Range Of Functions Involving Trigonometric Functions
2. Trigonometric ratios and transformation formulas
  1. Compound Angle Formulas Of Sine An Cosine Part I
  2. Compound Angle Formulas Of Sine And Cosine Part II
  3. Expression Acos X + Bsin X
  4. Compound Angle Formulas Of Tangent
  5. Transformation Formulas Product To Addition And Difference
  6. Transformation Formulas Sum And Difference To Product
  7. Trigonometric Ratios Of Multiple Angles Part I
  8. Trigonometric Ratios Of Multiple Angles Part II
  9. Trigonometric Ratios Of Multiple Angles Part III
  10. Trigonometric Ratios Of Multiple Angles Part IV
  11. Conditional Identities Cengage
  12. Values Of Sine And Cosine For 18 Degrees And 36 Degrees
  13. Important Results Using Trig. Ratios Of Multiple Angles
  14. Sum Of Series In Sine And Cosine Having Angles In A.P.
  15. Finding Range Of Expression Using Trigonometric Substitution
  16. Trigonometric Inequalities In Triangle
3. Trigonometric Equations
  1. Elementary Trigonometric Equations Part I
  2. Elementary Trigonometric Equations Part II
  3. Precautionary Things In Solving Trigonometric Equations
  4. Trig. Equations Whose Solution Set Contain Quadrant Angles
  5. General Solution Of The Equation Cos X = K
  6. General Solution Of The Equation Sin X = K
  7. General Solution Of The Equation A Cos X + B Sin X = C
  8. General Solution Of The Equation Tan X = K
  9. General Solution Of The Equation Square Of The Trig. Function Equals Constant
  10. Solving Trig. Eq. Using Maximum And Minimum Values Of Functions
  11. Graphical Approach To Solve Equations And Inequalities
4. Properties of Triangle
  1. Properties Of Triangle And Solutions Of Triangle Introduction
  2. Sine Rule Part I
  3. Sine Rule Part II
  4. Cosine Rule Part I
  5. Cosine Rule Part II
  6. Projection Rule
  7. Tangent Rule And M-N Theorem
  8. Half Angle Formulas
  9. Area Of Triangle Part I
  10. Area Of Triangle Part II
  11. Relation Between Area And Inradius Of The Triangle
  12. Angles And Lengths Associated With The Circumcenter Of The Triangle
  13. Angles And Lengths Associated With The Incenter Of The Triangle Part I
  14. Angles And Lengths Associated With The Incenter Of The Triangle Part II
  15. Angles And Lengths Associated With The Incenter Of The Triangle Part III
  16. Angles And Lengths Associated With The Orthocener Of The Triangle Part I
  17. Angles And Lengths Associated With The Orthocener Of The Triangle Part II
  18. Properties Of Medians And Centroid Of Triangle
  19. Geometry Related To Excenters Of Triangle
  20. Exradii And Excenters Of Triangle Problems Discussion
  21. Regular Polygon
5. Height and Distance
  1. Height And Distance Problems Based On Right Angled Triangle
  2. Height And Distance Problems Based On Trig. Ratios Of Compound Angles And Multiple Angles
  3. Height And Distance Problems Based On Sine And Cosine Rule

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