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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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