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CHAPTER 2 Solutions of Equations in One Variable
- 2.1 Solution of Equation in one Variable 04:40
- 2.1 Bisection Method 29:35
- 2.1 Theorem about Number of Iterations 08:29
- 2.1 Example about Determining the Number of Iterations 06:13
- 2.2 Definition of Fixed Point 10:15
- 2.2 Sufficient Conditions for Existence and Uniqueness of Fixed Point 05:56
- 2.2 Example 2 ( uniqueness and Existence of Fixed Point) 19:48
- 2.2 Example 3 14:27
- 2.2 Fixed Point Iteration 20:28
- 2.2 Fixed-Point Theorem 06:00
- 2.2 Discuss the Illustration 13:59
- 2.3 Taylor's Theorem 07:13
- 2.3 Newton's Method 09:46
- 2.3 Example 1 (Appling Newton's Method) 10:17
- 2.3 Theorem 2.6 02:47
- 2.3 Secant Method 07:07
- 2.3 Example 2 ( Applying Secant Method) 11:09
- 2.3 False Position Method 08:15
- 2.4 Order of Convergence 06:14
- 2.4 Illustration about Linearly and Quadratically Convergence 11:48
- 2.4 Theorem 2.8 and 2.9 09:17
- 2.4 Multiple Roots 09:33
- 2.4 Example 1 04:44
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CHAPTER 2 Solutions of Equations in One Variable