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

Set theory
  1. Introduction to set
  2. Subset and power set
  3. Intersection of sets
  4. Union of sets
  5. Difference of sets
  6. Complement of sets
  7. Properties of Operations on Sets
  8. Intervals
  9. Cardinal number of set
Inequalities
  1. Linear inequalities in one variable
  2. Linear inequalities in two variables
  3. Values of square
  4. Values of reciprocal
  5. Sign Scheme Method_Part I
  6. Sign Scheme Method_Part I
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 number
  4. Modulus of any expression
  5. Modulus of sum of real numbers
Relation and functions
  1. Cartesian product of sets
  2. relation and functions
  3. Range of elementary functions_Part I
  4. Range of elementary functions_Part II
  5. Graph of quadratic functions
Complex Numbers
  1. Imaginary number
  2. Complex number_Introduction
  3. Algebraic operations of complex numbers
  4. Properties of conjuage of complex number
  5. Equality of complex numbers
  6. Cube roots of unity_Part I
  7. Cube roots of unity_Part I
  8. Polar form of complex number_Theory
  9. Polar form of complex number_Problems discussion
  10. Problems based on modulus and argument_Part I
  11. Problems based on modulus and argument_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. De'Moivres theorem
  15. Product of complex number and its conjugate equals the square of modulus of complex number
  16. Problems based on unimoduluar complex numbers
  17. Collinearity of two non-zero complex numbers and origin
  18. Inequalities involving complex numbers
  19. Locus_Line segment, rays, ellipse and hyperbola
  20. Equation of circle using modulus of complex number_Part I
  21. Equation of circle using modulus of complex number_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 line in complex number
  27. nth roots of unity_Theory
  28. nth roots of unity_Problems discussion
Theory of Equations
  1. Polynomial expression, equation and graph_Part 1
  2. Polynomial expression, equation and graph_Part 2
  3. Polynomial equations reducible to quadratic
  4. Remainder and factor theorem
  5. Identity
  6. important points in solving equations
  7. Real and non-real roots_Part I
  8. Real and non-real roots_Part II
  9. Rational and irrational roots
  10. Applications of discriminant
  11. Relation between coefficients and roots of quadratic equation_Part I
  12. Relation between coefficients and roots of quadratic equation_Part II
  13. Relation between coefficients and roots of quadratic equation_Part III
  14. Relation beween roots and coefficients of polynomial equation
  15. One common root_Part I
  16. One common root_Part II
  17. Two common roots
  18. Graph of quadrtic function
  19. Quadratic function_Theory
  20. Quadratic function_problems discussion
  21. Problems based on double discriminant
  22. Location of roots_Theory
  23. Location of roots_Problems discussion
  24. Location of roots
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
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._Part I
  8. Sum of A.P._Part 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._Part I
  15. Sum of terms of G.P._Part II
  16. Applications of sum of GP
  17. Infinite G.P. and its sum
  18. Harmonic Progression_Part I
  19. Harmonic Progression_Part II
  20. Harmonic Means
  21. Relations between AM, GM and HM
  22. Sum of series using sigma_Part I
  23. Sum of series using sigma_Part IIR
  24. Finding nth term from the given sum of n
  25. AGP
  26. Multiple sigma with dependent & independent variables
  27. Sum of series by method of difference_I
  28. Sum of series by method of difference_II
Inequality using means
  1. Inequalities involving A.M., G.M. and H.M. of two positive numbers
  2. Inequalities using concavity of the graph
  3. A.M., G.M. and H.M. of more than two positive numbers
  4. Inequalities involving A.m., G.M. and H.M. of more than two positive numbers_Part I
  5. Inequalities involving A.m., G.M. and H.M. of more than two positive numbers_Part II
  6. Inequalities involving weighted means_cengage
  7. Inequalities involving means of mth power_Cengage
Binomial Theorem 
  1. Binomial txpansion_Introduction
  2. Binomial theorem_Problems disucussion_Part II
  3. Binomial theorem_Problems disucussion_Part II
  4. Conjugate binomials
  5. Middle term in binomial expansion
  6. Finding coefficients_Part I
  7. Finding coefficients_Part II
  8. Finding coefficient_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 expansions
  14. Binomial Expansion 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_Binomial inside binomial
  21. Binomial theorem for any index_Theory
  22. Binomial theorem for any index_Problems discussion
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 natural number
  20. Division and distribution of distinct objects_Unequal fixed group
  21. Division and distribution of distinct objects_Mix of equal and unequal fixed groups
  22. Distribution of distinct objects in any way
  23. Distribution 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
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
Mathematical Induction
  1. PMI_Introduction_Problems based on series
  2. Problems based on divisibility
  3. Problems based on inequalities
Mathematical Reasoning
  1. Mathamatical 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 biconditional statements
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
 

Class 11th - Coordinate Geometry

Coordinate System   
  1. Coordinate system_Introduction
  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_Part I
  15. Equation of locus of point_Part II
  16. Equation of locus of point_Part III
  17. Equation of locus of point_Part IV
  18. Division of plane by straigh line
  19. Polar coordinate system
Straight Lines
  1. Equation of line different forms_Theory
  2. Equation of lines_Problems discussion_Part I
  3. Equation of lines_Problems discussion_Part II
  4. Equation of lines_Problems discussion_Part III
  5. Equation of line in parametric form
  6. Distance of point from the line
  7. Distance between two parallel straight lines
  8. Position of points w.r.t. line
  9. Image of point on the line
  10. Concurrency of three lines and family of lines
  11. Equations of angle bisectors_Part I
  12. Equation of angle bisectors_Part II
  13. Family of straight lines concurrent at a point
Pair of Straight Lines
  1. Pair of straight lines_Introduction
  2. Standard second degree equation of pair of straight lines
  3. Pair of straight lines through origin
  4. Equation of angle bisector and homogenization
Circles
  1. Equation of circle_Center-radius form
  2. Equation of circle in general form
  3. Equation of circle_endpoints of chord and included angle
  4. Equation of circle in parametric form
  5. Elementary locus problems
  6. Equation of midpoint chord of circle
  7. Position of point w.r.t. circle
  8. Length of tangent to circle
  9. Position of line w.r.t. circle
  10. Equation of tangent at a given point on the circle
  11. Equation of tangnet having given slope
  12. Tangent to circle from external point
  13. Chord of contact of circle
  14. Director circle
  15. Radical axis of circles
  16. Two non-intersecting circles_disjoint circles
  17. Two circles touching each other
  18. Two intersecting circles
  19. Radical axis and orthogonal intersection of circles
  20. Angle between circles and orthogonal intersection
  21. Family of circles
Parabola
  1. Parabola_Definition
  2. Standard equation of parabola
  3. Parametric equations of standard equation of parabola
  4. Parabola having axis parallel to y-axis
  5. Parabola having 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 eq. y^2=4ax_Part I
  10. Tangent to parabola having eq. y^2=4ax_Part II
  11. Tangent to parabola having eq. other than y^2=4ax
  12. Point of intersection of tangents to parabola y^2=4ax
  13. Locus problems of pt. of intersection of tangents to parabola y^2=4ax
  14. Tangents to parabola from external point
  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 parabola
  18. Properties of normal to parabola
  19. Conormal points of parabola and its properties
Ellipse
  1. Ellipse_Definition
  2. Standard equation of ellipse
  3. Problems based on standard equation of ellipse_Part 1
  4. Problems based on standard equation of ellipse_Part 2
  5. Problems based on focal property of ellipse
  6. Equation of ellipse having axis parallel to coordinate axis
  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_Prat II
  10. Properties of ellipse
  11. Tangent to ellipse_Theory
  12. Tangent to ellipse_Problems discussion_Part I
  13. Tangent to ellipse_Problems discussion_Part II
  14. Director Circle of Ellipse
  15. Properties of tangent
  16. Normal to ellipse
  17. Properties of normal
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. Equation of hyperbola having given lines as its axes
  7. Rectangular hyperbola xy = c^2
  8. Equation of hyperbola in parametric form
  9. Chords of hyperbola
  10. Equation of tangent to hyperbola at a point on it
  11. Asymptotes of hyperbola
  12. Tangent to hyperbola having given slope_Part I
  13. Tangent to hyperbola having given slope_Part II
  14. Tangent to hyperbola from a point not lying on it
  15. Normal to hyperbola_Part I
  16. Normal to hyperbola_Part II
  17. Properties of tangent
  18. Orthogonal intersection of ellipse and hyperbola
  19. Problems based on rectangular hyperbola xy=c^2

Class 11th - Trigonometry

Trigonometric function
  1. Trigonometric ratios of acute angles_Part I
  2. Trigonometric ratios of acute angles_Part II
  3. Problems based on trigonometric identities
  4. Different measures of angles
  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 Trigonometric Functions_Part I
  10. Graphs of Trigonometric Functions_Part II
  11. Range of functions involving trigonometric functions
Trigonometric Ratios and transformation formulas                                                                                       
  1. Compound angle formulas for sine and cosine_Part I
  2. Compound angle formulas for sine and cosine_Part II
  3. Expression acos x + bsin x
  4. Compound angle formulas for tangent
  5. Transformation formulas_Product to addition and diffrence
  6. Transformation formulas_Addition and subtrction to product
  7. Multiple angle formulas_Part I
  8. Multiple angle formula_Part II
  9. Multiple angle formula_Part III
  10. Multiple angle formula_Part IV
  11. Conditional identities in triangle
  12. Value of sin18 and cos 36
  13. Important results of multiple angle formula
  14. Sum of sines and cosines when angles are in A.P.
  15. Range of expression using trig. substitution
  16. Trigonometric inequalities in triangle
Trigonometric equations
  1. Elementary Trigonometric equations_Part I
  2. Elementary Trigonometric equations_Part II
  3. Important points 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_acos x + bsin 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 trig. Equations and inequalities
Properties and Solution of triangles
  1. Introduction including different centers and circles
  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
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. Problems based on height and distance_Part III

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