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

₹10,000.00

Category:

Class 12th - Algebra/Vectors & 3D Geometry

+2_Algebra 1. Determinant
  1. Determinant Definition And Expansion Part I
  2. Determinant Definition And Expansion Part II
  3. Sarrus rule of expansion
  4. Properties Of Determinant Theory Part I
  5. Properties Of Determinant Theory Part II
  6. Problems Based On Properties Of Determinant Part I(Ncert Based)
  7. Problems Based On Properties Of Determinant Part Ii(Ncert Based)
  8. Problems Based On Properties Of Determinant Part III
  9. Problems Based On Properties Of Determinant Part I
  10. Problems Based On Properties Of Determinant Part V
  11. Product Of Determinants Part I
  12. Product Of Determinants Part II
  13. Differentiation Of Determinant Cengage-1
  14. System Of Linear Equations In Three Variables Part I Cengage-1
  15. System Of Linear Equations In Two Variables Cengage-1
  16. System Of Linear Equations In Three Variables Part II
2. Matrices
  1. Matrix_Introduction
  2. Classification Of Matrices
  3. Important Things About Matrix
  4. Addition Of Matrices
  5. Multiplication Of Matrix By Scalar
  6. Product Of Matrices_Theory
  7. Product Of Matrices_Problems Discussion
  8. Elementary Properties Of Product Of Matrice
  9. Associative Property Of Matrix Multiplication
  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 matrix
  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
3. Probability
  1. Conditional Probability
  2. Multiplication Rule Of Probability
  3. Independent Events
  4. Total Probability Theorem
  5. Bayes Theorem
  6. Random Variable And Its Probability Distribution
  +2_Vector and 3D Geometry_O 1. 3D coordinate system
  1. 3D coordinate system
  2. Understanding 3d coordinates
  3. Problems based on 3D coordinate system
  4. Distance formula
  5. Section formula_Part I
  6. Section formula_Part II
  7. Equation of sphere_Part I
  8. Equation of sphere_Part II
2. Introduction to Vectors
  1. Introduction to Vectors
  2. Direction of vector
  3. Algebra of Vectors & Angle between Vectors
  4. Section Formula
  5. Problems based on algebra of vectors_Part I
  6. Problems based on algebra of vectors_Part II
  7. Components of vector on axes
  8. Problems_Components of vector on axes_Part I
  9. Problems_Components of vector on axes_Part II
  10. Linear combination of vectors
  11. Problems based on linear combintion of vectors_Part I
  12. Problems based on linear combintion of vectors_Part II
3. Different Product of Vectors
  1. Dot Product_Theory
  2. Problems based on dot product
  3. Dot product_Square of sum of vectors
  4. Solving Vector equations using dot product
  5. 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 problames
  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. Vector triple product_Part III
  17. Solving vector equations using VTP
  18. Reciprocal system of vectors
4. Line and Plane
  1. Direction of line in space
  2. Equation of line_theory
  3. Equation of line_Problems discussion_Part I
  4. Equation of line_Problems discussion_Part II
  5. Distance of point from the line
  6. Coplanar and non-coplanar lines
  7. Angle between two lines
  8. Shortest distance between non-intersecting lines
  9. Equation of plane_Part I
  10. Equation of plane_Part II
  11. Normal and intercept form of plane
  12. Family of planes
  13. Line of intersection of planes
  14. Distance of point from the plane
  15. Different sides of plane
  16. Angle between two planes
  17. Angle bisectors of planes
  18. Foot of perpendicular from a point on the plane_reflection of a point in the plane
  19. Different Cases Of Line And Plane

Class 12th - Calculus/ITF

1. Functions
  1. Function_definition
  2. Different types of relations
  3. Cartesian product and relation
  4. Sign Scheme (Weavy Curve) Method for Solving Ineqalities Part_I
  5. Sign Scheme (Weavy Curve) Method for Solving Ineqalities Part_II
  6. Applications of Sign Scheme Method
  7. Concept of Squaring in Inequalities
  8. Concept of Reciprocal in Inequalities
  9. Functions Involving Quadratic Expressions
  10. Functions Involving Quadratic Expressions Part_II
  11. Trigonometric Functions Part_I
  12. Trigonometric Functions Part_II
  13. Functions involving ITF
  14. Exponential Function
  15. Logarithmic Functions_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. Identical Functions
  26. Identifying Injective and Surjective Nature of the Function_Part I
  27. Identifying Injective and Surjective Nature of the Function_Part II.11924.121761
  28. Odd and 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 Function Obtained by Algebraic Operations of Functions
  34. Functional Equations of Periodic Functions
  35. Inverse Function Part_I
  36. Inverse function_Part II
  37. Properties of inverse functions
  38. Composite functions
  39. Definition of composite functions
  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
2. Limits
  1. Introduction to limit of function
  2. Problems based on existence of limit_Part I
  3. Problems based on existence of limit_Part II
  4. Rule of limit of function
  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. Evaluating limit using expansion of function
  12. Standard trigonometric limit_Part I
  13. Standard trigonometric limit_Part II
  14. Trigonometric limit_Part III
  15. Limit of function involving ITF
  16. Exponential limit
  17. Logarithmic limit
  18. One power infinity
  19. One power infinity
  20. L'Hospital rule
  21. L'Hospital rule to evaluate indeterminate forms
3. Differentiation
  1. Derivative_Introduction
  2. Problems based on first definition of derivative
  3. Derivative of some standard functions
  4. Product and quotient rule of differentiation
  5. Chain rule of differentiation
  6. Diff. of function involving ITF
  7. Differentiation of inverse of given function
  8. Differentiation of implicit functions
  9. Differentiation using logarithm
  10. Differentiation of parametric form of equations
  11. Higher order derivatives
  12. Successive differentiation of parametric form of equations
  13. Differentiation of functional equations_Part I
  14. Differentiation of functional equations_Part II
4. Continuity and Differentiability
  1. Continuity Of Function Definition
  2. Different types of discontinuity of functions
  3. Problems based on missing point discontinuity
  4. Finding unknowns using continuity
  5. Continuity of functions involving GIF_Part I
  6. Continuity of functions involving GIF_Part II
  7. Continuity of function sgn(f(x))
  8. Continuity of miscellaneous functions_Part I
  9. Continuity of Miscellaneous Functions Part II
  10. Continuity of functions obtained by alg. operations of functions
  11. Differentiability_definition
  12. Differentiability using first definition of derivative_Part I
  13. Differentiability using first definition of derivative_Part II
  14. Differentiability using differentiation
  15. Differentiability of functions involving ITF
  16. Diff. of functions obtained by algebraic operations of functions
5. Application of Derivatives
  1. Slope of tangent and normal
  2. Tangent-normal at a given point on the curve
  3. Tangent-normal having given slope
  4. Tangent-normal from a point not lying on the curve
  5. Derivative as Rate of Change
  6. Approximation using derivative
  7. Rolle' Theorem
  8. Selection of function for Rolle' theorem
  9. Mean value theorem
  10. Selection of function for mean value theorem
  11. Proving inequalities using mean value theorem
  12. Cauchy's Mean Value Theorem-1
6. Monotonicity an maxima-minima
  1. Increasing-decreasing functions
  2. Monotonicity of differentiable functions
  3. Separatin the intervals of monotonicity of non-monotonic functions_Part I
  4. Separatin the intervals of monotonicity of non-monotonic functions_Part II
  5. Finding-relating unknowns using monotonicity
  6. Proving inequalities using monotonicity_Part I
  7. Proving inequalities using monotonicity_Part II
  8. Proving inequalities using monotonicity_Part III
  9. Concavity of curve
  10. Point of inflection
  11. Maxima-minima_Definition
  12. Maxima-minima of differentiable functions_Part I
  13. Maxima-minima of differentiable functions_Part II
  14. Maxima-minima of differentiable functions_Part III
  15. Maxima-minima of non-differentiable functions_Part I
  16. Maxima-minima of non-differentiable functions_Part II
  17. Applications of maxima-minima in optimization
  18. Applications of maxima-minima in plane geometry-coordinate geometry
  19. Use of trigonometry in applications of maxima-minima
  20. Applications of maxima-minima in solid geometry
7. 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. Trigo. integrand reducible to reciprocal of quadrtic
  14. Integrand_Reciprocal of square root of quadratic
  15. Practice problems
  16. Integration by partial fractions_Part I
  17. Integration by partial fractions_Part II
  18. Integration by parts_Part I
  19. Integration by parts_Part II
  20. Integrand_(e^ax)sinbx or (e^ax)cosbx
  21. Integrand_Square root of quadratic
  22. Integrand_(e^x)(f(x)+f'(x))
  23. Integration by cancellation
8. 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 involving definite integral_Part I
  16. Inequalities involving definite integral_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. Finding limit of function using leibniz rule
  26. Definite integration_Applications of leibniz rule in 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
9. Area
  1. Area bounded by curve and axis_Part I
  2. Area bounded by curve and axis_Part II
  3. Area bounded by curves_Part I
  4. Area bounded by curves_Part II
  5. Area involving Trig. Functions
  6. Area involvoing logarithmic function
  7. Area involving implicit functions
  8. Finding area without integration
10. Differential Equation
  1. Differential equations_Part I
  2. Differential equations_Part II
  3. Differential equations of Variable seperable type
  4. Homogeneous differential equations_Part I
  5. Homogeneous differential equations_Part II
  6. General form of variable separable type
  7. Linear Differential equations
  8. Diff. Equn. reducible to LDE
  9. Miscellaneous_Linear Diff. Equations
  10. Applications of differential equations_Part I
11. Inverse Trigonometric Functions(ITF)
  1. Inverse Trigonometric Functions Definition
  2. Graphs Of Inverse Trigonometric Functions
  3. Composition Of Trigonometric Function And Its Inverse Function
  4. Problems Based On Definition Of Itfs Part I
  5. Problems Based On Definition Of Itfs Part II
  6. Functions - Sin Inverse Of Sine And Cosec Inverse Of Cosecant
  7. Functions Cos Inverse Of Cosine And Sec Inverse Of Secant
  8. Functions Tan Inverse Of Tangent And Cot Inverse Of Cotangent
  9. Writing One Itf In The Fomr Of Other Itfs
  10. Inverse Trigonometric Functions Of Minus X
  11. Inverse Trigonometric Functions Of Reciprocal Of X
  12. Simplifying Inverse Trigonometric Functions Using Substitution
  13. Complimentary Angles In The Form Of Itfs
  14. Addition Of Angles In The Form Of Tan Inverse Function Part I
  15. Addition Of Angles In The Form Of Tan Inverse Function Part II
  16. Addition Of Angles In The Form Of Tan Inverse Function Part III
  17. Sum Of Series Involving Tan Inverse Function
  18. Addition Of Angles In The Form Of Cos Inverse Function

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