Home / +1 and +2 / Complete +1 and +2 Package
Description This package includes video lectures on all topics of +1 and +2(Algebra, Trigonometry, Coordinate Geometry, Calculus, Vectors and 3D Geoemtry) by Mr. G 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. Most helpful Mathematics for IIT JEE Main & Advance Exam. These video lectures are live class room lectures taken by Mr. Ghanshyam Tewani.Complete +1 and +2 Package ₹ 15,900.00
Set theory Introduction to set Subset and power set Intersection of sets Union of sets Difference of sets Complement of sets Properties of Operations on Sets Intervals Cardinal number of set Inequalities Linear inequalities in one variable Linear inequalities in two variables Values of square Values of reciprocal Sign Scheme Method_Part I Sign Scheme Method_Part I Absolute value of real number Absolute value(Modulus) of real number _ Introduction Properties of modulus of real number Inequalities of modulus of real number Modulus of any expression Modulus of sum of real numbers Relation and functions Cartesian product of sets relation and functions Range of elementary functions_Part I Range of elementary functions_Part II Graph of quadratic functions Complex Numbers Imaginary number Complex number_Introduction Algebraic operations of complex numbers Properties of conjuage of complex number Equality of complex numbers Cube roots of unity_Part I Cube roots of unity_Part I Polar form of complex number_Theory Polar form of complex number_Problems discussion Problems based on modulus and argument_Part I Problems based on modulus and argument_Part II Multiplication and division of complex numbers in polar form_Part I Multiplication and division of complex numbers in polar form_Part II De'Moivres theorem Product of complex number and its conjugate equals the square of modulus of complex number Problems based on unimoduluar complex numbers Collinearity of two non-zero complex numbers and origin Inequalities involving complex numbers Locus_Line segment, rays, ellipse and hyperbola Equation of circle using modulus of complex number_Part I Equation of circle using modulus of complex number_Part II Locus based on argument of complex number_equation of ray Angle between two lines in argand plane Rotation formula_Part I Rotation formula_Part II Equation of line in complex number nth roots of unity_Theory nth roots of unity_Problems discussion Theory of Equations Polynomial expression, equation and graph_Part 1 Polynomial expression, equation and graph_Part 2 Polynomial equations reducible to quadratic Remainder and factor theorem Identity important points in solving equations Real and non-real roots_Part I Real and non-real roots_Part II Rational and irrational roots Applications of discriminant Relation between coefficients and roots of quadratic equation_Part I Relation between coefficients and roots of quadratic equation_Part II Relation between coefficients and roots of quadratic equation_Part III Relation beween roots and coefficients of polynomial equation One common root_Part I One common root_Part II Two common roots Graph of quadrtic function Quadratic function_Theory Quadratic function_problems discussion Problems based on double discriminant Location of roots_Theory Location of roots_Problems discussion Location of roots Logarithm Exponential Function Logarithm and logarithmic function Properties of logarithm_Part I Properties of logarithm_Part II Logarithmic equations Logarithmic inequalities Progression and Series Sequence and series Arithmetic progression_Introduction Arithmetic mean of two numbers Selection of terms in AP Properties of AP Arithmetic means Sum of A.P._Part I Sum of A.P._Part II Geometric Progression_Introduction Geometric mean of two numbers Selection of terms of G.P. Properties of G.P. Geometric means Sum of terms of G.P._Part I Sum of terms of G.P._Part II Applications of sum of GP Infinite G.P. and its sum Harmonic Progression_Part I Harmonic Progression_Part II Harmonic Means Relations between AM, GM and HM Sum of series using sigma_Part I Sum of series using sigma_Part IIR Finding nth term from the given sum of n AGP Multiple sigma with dependent & independent variables Sum of series by method of difference_I Sum of series by method of difference_II Inequality using means Inequalities involving A.M., G.M. and H.M. of two positive numbers Inequalities using concavity of the graph A.M., G.M. and H.M. of more than two positive numbers Inequalities involving A.m., G.M. and H.M. of more than two positive numbers_Part I Inequalities involving A.m., G.M. and H.M. of more than two positive numbers_Part II Inequalities involving weighted means_cengage Inequalities involving means of mth power_Cengage Binomial Theorem Binomial txpansion_Introduction Binomial theorem_Problems disucussion_Part II Binomial theorem_Problems disucussion_Part II Conjugate binomials Middle term in binomial expansion Finding coefficients_Part I Finding coefficients_Part II Finding coefficient_Part III Greatest term in binomial expansion Applications of binomial theorem_Part I Applications of binomial theorem_Part II Multinomial theorem Sum of coefficients in binomial expansions Binomial Expansion with complex numbers Sum of coefficients in any expansion Series based on binomial coefficients_Part I Series based on binomial coefficients_Part II Series of coefficients resulting from product of two expansions_Part I Series of coefficients resulting from product of two expansions_Part II Sum of special series_Binomial inside binomial Binomial theorem for any index_Theory Binomial theorem for any index_Problems discussion Permutation and Combination Counting principle_Part I Counting principle_Part II Factorial notation Exponent of prime in factorial Permutation_Formula Permutations with restrictions_Part I Permutations with restrictions_Part II Permutations with identical objects Combinations_Formula Properties of Combinations formula Problems based on combinations_Part I Problems based on combinations_Part II Combination and arrangement Problems based on Chessboard Selection from objects which are not all distinct Circular permutations All possible selection from distinct objects All possible selection from identical objects Divisors of natural number Division and distribution of distinct objects_Unequal fixed group Division and distribution of distinct objects_Mix of equal and unequal fixed groups Distribution of distinct objects in any way Distribution of identical objects_Theory Distribution of identical objects_Problems discussion Distribution of identical objects_applications Principle of inclusion and exclusion Derangement Multinomial Theorem Probability Experiment and Sample space Event Axiomatic approach to probability Probability based on permutation and combination_Part I Probability based on permutation and combination_Part II Probability based on permutation and combination_Part III Addition theorem of probability Mathematical Induction PMI_Introduction_Problems based on series Problems based on divisibility Problems based on inequalities Mathematical Reasoning Mathamatical reasoning_Introduction Compound statement using logical connective and Logical connective OR_Logical equivalence_Distributive property of basic logical connective Tautology and Fallacy Negation of compound statement Conditional statement Converse, Inverse, contrapositive and biconditional statements Statistics Measures of dispersion_Introduction Measures of dispersion of ungrouped data Measures of dispersion of discrete frequency distribution Measures of dispersion of continuous frequency distribution and coefficient of variation
Class 11th - Coordinate Geometry
Class 11th - Trigonometry
Trigonometric function Trigonometric ratios of acute angles_Part I Trigonometric ratios of acute angles_Part II Problems based on trigonometric identities Different measures of angles Angle in trigonometry Trigonometric ratios of angles exceeding right angle Trigonometric ratios of allied angles_Theory Trigonometric ratios of allied angles_Problems discussion Graphs of Trigonometric Functions_Part I Graphs of Trigonometric Functions_Part II Range of functions involving trigonometric functions Trigonometric Ratios and transformation formulas Compound angle formulas for sine and cosine_Part I Compound angle formulas for sine and cosine_Part II Expression acos x + bsin x Compound angle formulas for tangent Transformation formulas_Product to addition and diffrence Transformation formulas_Addition and subtrction to product Multiple angle formulas_Part I Multiple angle formula_Part II Multiple angle formula_Part III Multiple angle formula_Part IV Conditional identities in triangle Value of sin18 and cos 36 Important results of multiple angle formula Sum of sines and cosines when angles are in A.P. Range of expression using trig. substitution Trigonometric inequalities in triangle Trigonometric equations Elementary Trigonometric equations_Part I Elementary Trigonometric equations_Part II Important points in solving trigonometric equations Trig. equations whose solution set contain quadrant angles General solution of the equation_cos x = k General solution of the equation_sin x = k General solution of the equation_acos x + bsin x = c General solution of the equation_tan x = k General solution of the equation_Square of the trig. function equals constant Solving trig. eq. using maximum and minimum values of functions Graphical approach to solve trig. Equations and inequalities Properties and Solution of triangles Introduction including different centers and circles Sine rule_Part I Sine rule_Part II Cosine rule_Part I Cosine rule_Part II Projection rule Tangent rule and m-n theorem Half angle formulas Area of triangle_Part I Area of triangle_Part II Relation between area and inradius of the triangle Angles and lengths associated with the circumcenter of the triangle Angles and lengths associated with the incenter of the triangle_Part I Angles and lengths associated with the incenter of the triangle_Part II Angles and lengths associated with the incenter of the triangle_Part III Angles and lengths associated with the orthocener of the triangle_Part I Angles and lengths associated with the orthocener of the triangle_Part II Properties of medians and centroid of triangle Geometry related to excenters of triangle Exradii and excenters of triangle_Problems discussion Regular polygon Height and distance Height and distance_Problems based on right angled triangle Height and distance_Problems based on trig. ratios of compound angles and multiple angles Problems based on height and distance_Part III
Class 12th - Algebra/Vectors & 3D Geometry
Determinant Introduction and Expansion of Determinant_Part I Introduction and Expansion of Determinant_Part II Sarrus rule of expansion Properties of determinant_Theory_Part I Properties of determinant_Theory_Part II NCERT problems on prop. of det._Part I NCERT problems on prop. of det._Part II Problems_Prop. of det._Part I Problems_Prop. of det._Part II Problems_Prop. of det._Part III Differentiation of Determinant Product of determinants_Part I Product of determinants_Part II System of equations in two variables System of equations in two variables_Part I System of equations in two variables_Part II Matrices Matrices_Introduction Classification of matrices Important points about matrix Addition of matrices Multiplication of matrix by scalar Product of matrices Product of matrices_Problems discussion Elementary properties of of product of matrices Associative property of product of matrices Commutative property of product of matrices Transpose of product of matrices Determinant of product of matrices Some special matrices Adjoint of matix Properties of adjoint of matrix Inverse of matrix Properties of inverse of matrix_Part I Properties of inverse of matrix_Part II Inverse of matrix using elementary transformations Solving system of equations using matrix Probability Conditional probability Multiplication theorem on probability Independent events Total probability theorem Bayes theorem Random variable and probability distribution Bernoulli's trials and binomial distribution Introduction to Vectors Vectors(introduction) Dependent and independent vectors Different product of vectors Dot product Problem based on dot product Dot product_Square of sum of vectors Solving Vector equations using dot product Vector cross product_theory Problems based on cross product_Part I Problems based on cross product_Part II Cross product as area of parallelogram Cross product_JEE problems Scalar triple product_definition Problems based on STP Properties of STP STP as volume of parallelepiped Vector triple product_Part I Vector triple product_Part II 16_Solving vector equations using VTP Vector product of four vectors Reciprocal system of vectors 3-D Geometry Straight lines Plane – part 1 Plane – part 2 Line and plane in space
Class 12th - Calculus/ITF
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