Description

This package includes video lectures on Algebra(Quadratic Equation, Complex Numbers, Progression and Series, Binomial Theorem, Permutation and Combination, Modulus, Inequalities) of +1 by Mr. Ghanshyam Tewani, the author of top selling books on JEE Main and Advanced published by Cengage Learning. 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.

Algebra Package for 11th Grade

₹6,500.00

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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

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