Description

This package includes video lectures on all topics of +2 by Mr. Ghanshyam Tewani, the author of top selling books on JEE Main and Advanced published by Cengage Learning. It covers Calculus, Algebra, Trigonometry, Vectors and 3D Geometry of +2. 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.

Complete +2 Package

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Class 12th - Algebra/Vectors & 3D Geometry

Determinant
  1. Introduction and Expansion of Determinant_Part I
  2. Introduction and Expansion of Determinant_Part II
  3. Sarrus rule of expansion
  4. Properties of determinant_Theory_Part I
  5. Properties of determinant_Theory_Part II
  6. NCERT problems on prop. of det._Part I
  7. NCERT problems on prop. of det._Part II
  8. Problems_Prop. of det._Part I
  9. Problems_Prop. of det._Part II
  10. Problems_Prop. of det._Part III
  11. Differentiation of Determinant
  12. Product of determinants_Part I
  13. Product of determinants_Part II
  14. System of equations in two variables
  15. System of equations in two variables_Part I
  16. System of equations in two variables_Part II
Matrices
  1. Matrices_Introduction
  2. Classification of matrices
  3. Important points about matrix
  4. Addition of matrices
  5. Multiplication of matrix by scalar
  6. Product of matrices
  7. Product of matrices_Problems discussion
  8. Elementary properties of of product of matrices
  9. Associative property of product of matrices
  10. Commutative property of product of matrices
  11. Transpose of product of matrices
  12. Determinant of product of matrices
  13. Some special matrices
  14. Adjoint of matix
  15. Properties of adjoint of matrix
  16. Inverse of matrix
  17. Properties of inverse of matrix_Part I
  18. Properties of inverse of matrix_Part II
  19. Inverse of matrix using elementary transformations
  20. Solving system of equations using matrix
Probability
  1. Conditional probability
  2. Multiplication theorem on probability
  3. Independent events
  4. Total probability theorem
  5. Bayes theorem
  6. Random variable and probability distribution
  7. Bernoulli's trials and binomial distribution
Introduction to Vectors
  1. Vectors(introduction)
  2. Dependent and independent vectors
Different product of vectors
  1. Dot product
  2. Problem based on dot product
  3. Dot product_Square of sum of vectors
  4. Solving Vector equations using dot product
  5. Vector cross product_theory
  6. Problems based on cross product_Part I
  7. Problems based on cross product_Part II
  8. Cross product as area of parallelogram
  9. Cross product_JEE problems
  10. Scalar triple product_definition
  11. Problems based on STP
  12. Properties of STP
  13. STP as volume of parallelepiped
  14. Vector triple product_Part I
  15. Vector triple product_Part II
  16. 16_Solving vector equations using VTP
  17. Vector product of four vectors
  18. Reciprocal system of vectors
3-D Geometry
  1. Straight lines
  2. Plane – part 1
  3. Plane – part 2
  4. Line and plane in space

Class 12th - Calculus/ITF

Inverse Trigonometric Functions(ITF)
  1. ITF_Defintion
  2. ITF_Graphs
  3. Sign scheme method for solivng inequalities
  4. Problems based on definition of ITFs
  5. Problems based on definition of ITF_Part II
  6. sin inverse of sin x and cosec inverse of cosec x
  7. cos inverse of cos x and sec inverse of sec x
  8. Tan inverse of tan x and cot inverse of cot x
  9. Writing one ITF in terms of other ITF
  10. Relating ITFs of arguments of opposite sign and equal in magnitude
  11. Relating ITFs of arguments which are reciprocal to each other
  12. Simplifying ITFs using substitution
  13. Complementary angles in terms of ITFs
  14. Addition of tan innverse functions_Part I
  15. Addition of tan innverse functions_Part II
  16. Addition of tan innverse functions_Part III
  17. Sum of series using diff. of angles in tan inverse functions
  18. Sum and difference of cos inverse functions
Functions and Relations
  1. Cartesian product and relation
  2. Different types of relations
  3. Function_definition
  4. Sign scheme (wavy curve) method for solving inequalities_Part I
  5. Sign scheme (wavy curve) method for solving inequalities_Part II
  6. Applications of sign scheme method
  7. Concept of squaring in inequalities
  8. Concept of reciprocal in in equaliities
  9. Functions involving quadratic expressions_Part I
  10. Functions involving quadratic expressions_Part II
  11. Domain and range of functions involving trig, functions_Part I
  12. Domain and range of functions involving trig, functions_Part II
  13. Domain and range of functions involving itf
  14. Exponential function
  15. Logarithmic function_Part I
  16. Logarithmic functions_Part II
  17. Applications of logarithmic inequalities
  18. Greatest integer function
  19. Properties of GIF
  20. Graph of GIF and its applications
  21. Fractional part function
  22. Graph of fractional part function and its applications
  23. Signum function
  24. Function max. of and min. of
  25. Idential functions
  26. Methods to check injective and surjective nature of the fun._Part I
  27. Methods to check injective and surjective nature of the fun._Part II
  28. Odd even functions
  29. Properties of odd and even functions
  30. Functional equations of odd and even functions
  31. Periodic functions
  32. Period of transformed and composite functions
  33. Period of fun. obtained algebraic operations
  34. Functional equations of periodic functions
  35. Inverse function_Part I
  36. Inverse function_Part II
  37. Properties of inverse functions
  38. Composite function
  39. Definition of composite function
  40. Injectivity and surjectivity of composite functions
  41. Finding function from funcational equations
  42. Transformation of graphs
  43. Transformation of graphs involving modulus
  44. Function based on max.-min value in variable interval
  Limits
  1. Introduction to limit
  2. Problems based on existence of limit_Part I
  3. Problems based on existence of limit_Part II
  4. Rules of limit
  5. Indeterminate forms of limit
  6. Evaluating limit by cancelling common factor _Part I
  7. Evaluating limit by cancelling common factor _Part II
  8. Standard algebraic limit
  9. Limit of algebraic functions at infinity_Part I
  10. Limit of algebraic functions at infinity_Part II
  11. Limits using expansion of functions
  12. Standard trigonometric limit_Part I
  13. Standard trigonometric limit_Part II
  14. Standard trigonometric limit_Part III
  15. Limit of function involving inverse trigo. functions
  16. Standard limit involving exponential function
  17. Standard limit involving logarithmic function
  18. Limit of one power infinity form_Part I
  19. Limit of one power infinity form_Part II
  20. Limit using L'Hospital rule
  21. Limit of zero power zero and infinity power zero form
Method of Differentiation
  1. Differentiation – elementary
  2. Differentiation using chain rule
  3. Product and quotient rule of differentiation
  4. Differentiation involving inverse trigonometric functions
  5. Differentiation of implicit functions
  6. Differentiation using Logarithm
  7. Differentiation of parametric from of equation
  8. Differentiation of determinant and misc
  9. Successive differentiation
  10. Successive differentiation of parametric form of function
  11. Differentiation of inverse function
  12. Finding function or derivative from functional equation_Part 1
  13. Finding function or derivative from functional equation_Part 2
Continuity of Function 
  1. Continuity of Function_Definition
  2. Different types of discontinuity of function
  3. Defining a function at missing point discontinuity
  4. Finding unknowns if function is continuous
  5. Continuity of function involving signum function
  6. Continuity of function involving limit at infinity
  7. Continuity of function which is differently defined for rational and irrational numbers
  8. Continuity of functions involving Greatest Integer Function_Part 1
  9. Continuity of functions involving Greatest Integer Function_Part II
  10. Continuity of function resulting from algebraic operations of functions
  11. Applications of continuous function and intermediate value theorem
Differentiability of Functions
  1. Differentiability – part 1
  2. Differentiability – part 2
  3. Differentiability of product function_Important concept
Application of Derivatives
  1. Slope of tangent and normal
  2. Equation of tangent and normal at a given point on the curve
  3. Equation of tangent and normal having given slope
  4. Equation of tangent and normal from a point not lying on the curve
  5. Angle between curves
  6. Application of Tangent – normal
  7. Approximations
  8. Derivative as rate of change
  9. Rolle's theorem
  10. Rolle's theorem_Selecting function
  11. Mean value theorem_Introduction
  12. Selecting function for mean value theorem
  13. Inequalities using mean value theorem
  14. Cauchy’s mean value theorem
Monotonicity 
  1. Increasing_Decreasing function
  2. Monotonicity_Important points
  3. Seperating the intervals of Monotonicity
  4. Finding unknowns using monotonicity
  5. Finding numbre of roots using monotonicity_Part I
  6. Inequalities using monotonicity
Extremum of Functions
  1. Maxima-minima of functions
  2. Maxima_Minima when critical points cannot be evaluated
  3. Applications of maxima-minima
  4. Graph plotting_1
  5. Graph plotting_2
Indefinite Integration
  1. Indefinite integration Introduction
  2. Elementary integration problems
  3. Integration of f(ax+b)
  4. Integrand_(f(g(x)))g'(x)
  5. Integrand_f'(x) upon f(x)
  6. Integration of tan, cot, sec, cosec
  7. Integrand ((f(x))^n)f'(x)
  8. Substitution techniques in integration_Part I
  9. Substitution techniques in integration_Part II
  10. Integration using trigonometric substitution
  11. Integrand_Reciprocal of quadratic
  12. Integrand involving biquadratic expression
  13. Trigonometric integrand reducible to reciprocal of quadratic
  14. Integrand_Reciprocal of square root of quadratic
  15. Integration by partial fractions_Part I
  16. Integration by partial fractions_Part II
  17. Integration by parts_Part I
  18. Integration by parts_Part II
  19. Integrand_(e^ax)sinbx or (e^ax)cosbx
  20. Integrand_Square root of quadratic
  21. Integrand_(e^x)(f(x)+f'(x))
  22. Integration by cancellation
Definite Integration
  1. Definite integration as area function_Part I
  2. Definite integration as area function_Part II
  3. Elementary properties of definite integration_Part I
  4. Elementary properties of definite integration_Part II
  5. Definite integration using fundamental theorem
  6. Definite integration by substitution_Part I
  7. Definite integration by substitution_Part II
  8. Definite integration by parts_Part I
  9. Definite integration by parts_Part II
  10. Definite integration by reciprocal substitution
  11. Comparison of definite integrals
  12. Definite integral as limit of sum_Part I
  13. Definite integral as limit of sum_Part II
  14. Function as definite integral
  15. Inequalities in definite integration_Part I
  16. Inequalities in definite integration_Part II
  17. Definite integral as limit of sum_Part I
  18. Definite integral as limit of sum_Part II
  19. Property of DI_Replacing x by sum of limits minus x
  20. Properties of D.I._Halving the upper limit
  21. D.I. of log(sin x) or log(cos x) between limits 0 and pi by 2
  22. D.I. of odd and even functions
  23. Definite integration of periodic functions
  24. Leibniz rule_Introduction
  25. Leibniz rule and l'hospital rule
  26. Leibniz rule and monotonicity of function
  27. Leibniz rule when integrand is function of two independent variables
  28. Leibniz rule_Higher level problems
  29. Reduction formula in definite integration
Area
  1. Area bounded by curve and axis_Part I
  2. Area bounded by curve and axis_Part II
  3. Area bounded by two curves_Part I
  4. Area bounded by two curves_Part II
  5. Area bounded by curves involving Trigonometric Function
  6. Area bounded by curves involving logarithmic function
  7. Area bounded by implicit functions
  8. Finding Area without integration
Differential Equation
  1. Differential equation_definition and formation
  2. Solving Differential equation_Variable separable type
  3. Solving Differential equation_Homogeneous diff. equations
  4. Solving Differential equation_General form of variable separation
  5. Solving Differential equation_Linear Differential Equations
  6. Solving Differential equation_Reducible to Linear Differential Equations
  7. Applications of Differential Equations
  8. Miscellaneous problems_Linear Differential Equations