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Complete Course of Mathematics (XI, XII, IIT-JEE)

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  1. 9. Assignment 1
  2. Section 1 : Sets, Relations & Function
    10. Assignment 2
  3. Course Outline - Mathematics
  4. 1. Introduction of Sets
  5. 2. Types of Sets
  6. 3. Subsets
  7. 4. Power Sets
  8. 5. Venn Diagram
  9. 6. Operation of Sets
  10. 7. Complement of a Set
  11. 8. Relation between Union and Intersection of Sets
  12. 9. Relations
  13. 10. Types of Relations
  14. 11. Functions
  15. 12. One-One and Onto Functions
  16. 13. Composition of Functions
  17. Section 2 : Complex Number & Quadratic Equation
    14. Assignment 1
  18. 15. Assignment 2
  19. 1. Basic Concepts of Complex Numbers
  20. 2. Real and Imaginary Part of Complex Numbers
  21. 3. Operations on Complex Numbers
  22. 4. Equality of two Complex Numbers
  23. 5. Conjugate of a Complex Number
  24. 6. Modulus and Argument of Complex Numbers
  25. 7. Square Root of Complex Numbers
  26. 8. Representation of Complex Numbers
  27. 9. Logarithm of Complex Number
  28. 10. Triangle Inequalities
  29. 11. De'moivre's Theorem
  30. 12. Roots of Complex Number
  31. 13. Invers Point of Complex Number
  32. 14. Dot and Cross Product of Complex Numbers
  33. 15. Miscellaneous Solved Questions (Past years)
  34. 16. Application
  35. Section 3 : Metrices & Determinants
    17. Application
  36. 17. Independent Assessment
  37. 1.1 Introduction to a Matrix
  38. 1.2 Order of a Matrix
  39. 1.3 Basic types of Matrix
  40. 1.4 Equality of Matrices
  41. 1.5 Basic operation on Matrices
  42. 1.6 Multiplication of Matrices
  43. 1.7 Transpose of a Matrix
  44. 1.8 Conjugate of a Matrix
  45. 1.9 Trace of a Matrix
  46. 1.10 Symmetric & Scew-Symmetric Matrix
  47. 1.11 Special types of Matrix
  48. 2.1 Introduction of Determinants
  49. 2.2 How to Evaluate Determinants
  50. 2.3 Minors and Cofactors
  51. 2.4 Adjoint of a square Matrix
  52. 2.5 Inverse of a Matrix
  53. 2.6 Singular & Non Singular Matrices
  54. 2.7 Elementary Transformation of Matrix
  55. 2.8 Rank of a Matrix
  56. 2.9 Echelon form of a Matrix
  57. 2.10 Homogenous Linear Equations
  58. 2.11 Non Homogenous Linear Equations
  59. 3.1 Properties of Determinants
  60. 3.2 Sum of Determinants
  61. 3.3 Multiplication of Determinants
  62. 3.4 Differentiation of Determinants
  63. 3.5 Integration of Determinants
  64. 3.6 Special Types of Determinants
  65. 3.7 Solution of System of Linear Equations
  66. 3.8 Cramer's Rule
  67. Section 4 : Permutation and Combination
    3.9 Application of Matrices & Determinants
  68. 3.10 Solved Question Paper
  69. 1. Concepts of Factorial
  70. 2. Fundamental Principle of Counting
  71. 3. Concepts of Permutation
  72. 4. Number of Permutation (With Repetition)
  73. 5. Number of Permutation (Without Repetition )
  74. 6. Conditional Permutation
  75. 7. Circular Permutation
  76. 8. Introduction to Combination
  77. 9. Numbers of Combination (With Repetition)
  78. 10. Numbers of Combination (Without Repetition)
  79. 11. Number of Combinations
  80. 12. Conditional Combination
  81. 13. Formation of Group
  82. 14. Concepts of Derangement
  83. 15. Multinomial Theorem
  84. Section 5 : Mathematical Induction
    16. Few Important Results on Divisors
  85. 17. Previous Years Questions
  86. 1. Principle of Mathematical Induction
  87. Section 6 : Binomial Theorem
    2. Principle of Mathematical Induction
  88. 3. Principle of Mathematical Induction
  89. 1. Introduction of Binomial Theorem
  90. 2. Binomial Theorem for Non Negative Integers
  91. 3. Binomial Theorem of Positive Integral Index
  92. 4. Some Important Results on Binomial Theorem
  93. 5. Concepts of Independent Terms or Constant Terms
  94. 6. To Find the Number of Terms in an Expansion
  95. 7. Greatest Terms & Greatest Coefficients
  96. Section 7 : Sequence and Series
    8. Properties of Binomial Coefficients
  97. 9. Top 15 Question of Binomial Theorem
  98. 1. Sequence & Series : Module 1 (Basic Concepts)
  99. 2. Sequence & Series : Module 2 (Part 1)
  100. 3. Sequence & Series : Module 2 (Part 2)
  101. 4. Sequence & Series : Module 3 (Part 1)
  102. 5. Sequence & Series : Module 3 (Part 2)
  103. 6. Sequence & Series : Module 4 (Part 1)
  104. Section 8 : Polynomial
    7. Sequence & Series : Module 4 (Part 2)
  105. 8. Sequence & Series : Module 4 (Part 3)
  106. 1. Introduction - Polynomial
  107. 2. Classification of Polynomial
  108. 3. Zero of Polynomials
  109. 4. Remainder Theorem
  110. 5. Division of Polynomial
  111. 6. Factor theorem
  112. 7. Factorization of Polynomials
  113. 8. Factorization of Polynomial by Factor Theorem
  114. 9. Algebraic Identities
  115. 10. Factorization by Algebraic Identities
  116. 11. Zero of Polynomials by Graphs
  117. Section 9 : Differentiation
    12. Relation between zeros and coefficient of polynomial
  118. 13. Assignment
  119. 1. Introduction - Differentiation
  120. 2. Differentiation Rules
  121. 3. Derivative of Composite Function
  122. 4. Derivative of Implicit Function
  123. 5. Derivative of Inverse Trigonometric Functions
  124. 6. Derivative of Logarithmic & Exponential Functions
  125. 7. Logarithmic Differentiations
  126. 8. Derivative of Functions in Parametric Form
  127. 9. Second Order Derivatives
  128. Section 10 : Integration
    10. Assignment 1
  129. 11. Assignment 2
  130. 1. Integration - Introduction
  131. 2. Method of Inspection for Finding Anti Derivative
  132. 3. Finding Integrals Using Various Formulas
  133. 4. Integral by Substitution
  134. 5. Integration by Trigonometric Identities
  135. 6. Integrals of Some Particular Functions
  136. 7. Integrals of Some Particular Functions - 2
  137. 8. Integration by Partial Fractions
  138. 9. Integration by Parts
  139. 10. Integrals of the Type ∫〖e^x [f(x)+f^' (x)] dx
  140. 11. Integrals Of Square Roots
  141. 12. Integrals by Limit of Sum
  142. 13. Finding Definite Integrals By Formula
  143. 14. Definite Integrals By Substitution
  144. 15. Integration By Some Properties of Definite Integrals
  145. Section 11 : Differential Equation
    16. Assignment 1
  146. 17. Assignment 2
  147. 1. Secod order differetial equatios
  148. 2. Introduction of Differential Equation
  149. 3. General and Particular Solution of Differential Equation
  150. 4. Formation of Differential Equation
  151. 5. Variable Separable Method
  152. 6. Homogeneous differential equations - part1
  153. 7. Homogeneous differential equations - Part 2
  154. 8. Linear differential equations

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1.11 Special types of Matrix