Statistics and Numerical Methods (MA3251) - Vivekananda
Course Instructor
Promath
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Course Overview
Schedule of Classes
Course Curriculum
5 Subjects
Unit 1: Testing of Hypothesis (AnnaM2)
29 Exercises • 94 Learning Materials
1.1 Large sample
1.1.1 Introduction
PDF
1.1.2 Test of significance
PDF
1.1.3 Application
PDF
1.1.4 Solved Problem 1
Video
8:24
1.1.4 Quiz
Exercise
1.1.5 Solved Problem 2
Video
6:41
1.1.5 Quiz
Exercise
1.1.6 Solved Problem 3
Video
6:43
1.1.6 Quiz
Exercise
1.1.7 Solved problem 4
PDF
1.1.8 Solved problem 5
PDF
1.1.9 Solved problem 6
PDF
1.1.10 Solved problem 7
PDF
1.1.11 Solved problem 8
PDF
1.1.12 Test of Equality
PDF
1. 1.13 Solved Problem 1
Video
7:24
1.1.13 Quiz
Exercise
1.1.14 Solved Problem 2
Video
6:37
1.1.14 Quiz
Exercise
1.1.15 Solved Problem 3
Video
5:47
1.1.15 Quiz
Exercise
1.1.16 Solved problem 4
PDF
1.1.17 Solved problem 5
PDF
1.1.18 Test of significance for diff of standard deviation
PDF
1.1.19 Solved Problem 1
Video
6:40
1.1.19 Quiz
Exercise
1.1.20 Solved Problem 2
Video
7:2
1.1.20 Quiz
Exercise
1.1.21 Solved problem 3
PDF
1.1.22 Exercises
PDF
1.2 Student's t-distribution
1.2.1 Test of significance
PDF
1.2.2 Student T-test
PDF
1.2.3 Confidence of Fiduals
PDF
1.2.4 Student T-test for single mean
PDF
1.2.5 Solved Problem 1
Video
7:51
1.2.5 Quiz
Exercise
1.2.6 Solved Problem 2
Video
11:56
1.2.6 Quiz
Exercise
1.2.7 Solved Problem 3
Video
9:12
1.2.7 Quiz
Exercise
1.2.8 Solved problem 4
PDF
1.2.9 Solved problem 5
PDF
1.2.10 Solved problem 6
PDF
1.2.11 Solved problem 7
PDF
1.2.12 Solved problem 8
PDF
1.2.13 Solved problem 9
PDF
1.2.14 Student t-test
PDF
1.2.15 Solved Problem 1
Video
9:10
1.2.15 Quiz
Exercise
1.2.16 Solved Problem 2
Video
9:15
1.2.16 Quiz
Exercise
1.2.17 Solved Problem 3
Video
10:25
1.2.17 Quiz
Exercise
1.2.18 Solved problem 4
PDF
1.2.19 Solved problem 5
PDF
1.2.20 Solved problem 6
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1.2.21 Solved problem 7
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1.2.22 Solved problem 8
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1.2.23 Paired sample T.test
PDF
1.2.24 Solved Problem 1
Video
7:45
1.2.24 Quiz
Exercise
1.2.25 Solved Problem 2
Video
9:16
1.2.25 Quiz
Exercise
1.2.26 Solved Problem 3
Video
7:25
1.2.26 Quiz
Exercise
1.2.27 Solved problem 4
PDF
1.2.28 Solved problem 5
PDF
1.2.29 Solved problem 6
PDF
1.2.30 Solved problem 7
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1.2.31 Solved problem 8
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1.2.32 Solved problem 9
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1.2.33 Test of significance corellation coefficent
PDF
1.2.34 Solved Problem 1
Video
3:10
1.2.34 Quiz
Exercise
1.2.35 Solved problem 2
PDF
1.2.36 Solved problem 3
PDF
1.2.37 Solved problem 4
PDF
1.2.38 Value of lamda
PDF
1.2.39 Exercises
PDF
1.3 Chi-square Distribution
1.3.1 Introduction
PDF
1.3.2 X square as a goodness of fit
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1.3.3 Conditions of validity
PDF
1.3.4 Solved problem 1
Video
6:56
1.3.4 Quiz
Exercise
1.3.5 Solved problem 2
Video
8:15
1.3.5 Quiz
Exercise
1.3.6 Solved problem 3
Video
8:43
1.3.6 Quiz
Exercise
1.3.7 Solved Problem 4
PDF
1.3.8 Solved Problem 5
PDF
1.3.9 Solved Problem 6
PDF
1.3.10 Chi-square test for Independence of Attributes
PDF
1.3.11 Solved problem 1
Video
8:53
1.3.11 Quiz
Exercise
1.3.12 Solved problem 2
Video
12:10
1.3.12 Quiz
Exercise
1.3.13 Solved problem 3
Video
12:51
1.3.13 Quiz
Exercise
1.3.14 Solved problem 4
Video
13:13
1.3.14 Quiz
Exercise
1.3.15 Solved problem 5
Video
12:15
1.3.15 Quiz
Exercise
1.3.16 Solved Problem 6
PDF
1.3.17 Solved Problem 7
PDF
1.3.18 Solved Problem 8
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1.3.19 Solved Problem 9
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1.3.20 Solved Problem 10
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1.3.21 values of x^2
PDF
1.3.22 Exercises
PDF
1.4 F–test for equality of population variances
1.4.1 sincoders F-test of significance
PDF
1.4.2 Solved Problem 1
Video
8:20
1.4.2 Quiz
Exercise
1.4.3 Solved Problem 2
Video
8:13
1.4.3 Quiz
Exercise
1.4.4 Solved Problem 3
Video
8:14
1.4.4 Quiz
Exercise
1.4.5 Solved Problem 4
PDF
1.4.6 Solved Problem 5
PDF
1.4.7 Solved Problem 6
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1.4.8 Solved Problem 7
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1.4.9 F0.01-distribution Table
PDF
1.4.10 F0.05-distribution Table
PDF
1.4.11 Exercises
PDF
Unit 2: Design of Experiments (AnnaM2)
12 Exercises • 45 Learning Materials
2.1 One Way Classification
2.1.1 Introduction
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2.1.2 Basic designs of experiments
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2.1.3 Analysis of Variance (ANOVA)
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2.1.4 One-way classification (CRD)
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2.1.5 Working Procedure One-way Classification
PDF
2.1.6 Solved problem 1
Video
15:9
2.1.6 Quiz
Exercise
2.1.7 Solved Problem 2
Video
12:51
2.1.7 Quiz
Exercise
2.1.8 Solved Problem 3
Video
14:1
2.1.8 Quiz
Exercise
2.1.9 Solved Problem 4
PDF
2.1.10 Solved Problem 5
PDF
2.1.11 Solved Problem 6
PDF
2.1.12 Exercises
PDF
2.2 Two Way Classification
2.2.1 Two-Way Classification
PDF
2.2.2 Two-Way Classification Application in Engineering
PDF
2.2.3 Working Procedure Two-way Classification
PDF
2.2.4 Solved Problem 1
Video
16:2
2.2.4 Quiz
Exercise
2.2.5 Solved Problem 2
Video
16:23
2.2.5 Quiz
Exercise
2.2.6 Solved Problem 3
Video
15:37
2.2.6 Quiz
Exercise
2.2.7 Solved Problem 4
PDF
2.2.8 Solved Problem 5
PDF
2.2.9 Solved Problem 6
PDF
2.2.10 Solved Problem 7
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2.2.11 Solved Problem 8
PDF
2.2.12 Solved Problem 9
PDF
2.2.13 Exercises
PDF
2.3 Latin Square Design
2.3.1 Latin Square Design
PDF
2.3.2 Working Procedure - Latin Square Design
PDF
2.3.3 Solved problem 1
Video
19:15
2.3.3 Quiz
Exercise
2.3.4 Solved problem 2
Video
20:44
2.3.4 Quiz
Exercise
2.3.5 Solved problem 3
Video
23:28
2.3.5 Quiz
Exercise
2.3.6 Solved Problem 4
PDF
2.3.7 Solved Problem 5
PDF
2.3.8 Solved Problem 6
PDF
2.3.9 Solved Problem 7
PDF
2.3.10 Solved Problem 8
PDF
2.3.11 Solved Problem 9
PDF
2.3.12 Exercises
PDF
2.4 2^2 Factorial Design
2.4.1 2^2 Factorial Design
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2.4.2 Analysis of 2^2 Factorial Design
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2.4.3 Working Procedure - 2^2 Factorial Design
PDF
2.4.4 Solved Problem 1
Video
19:43
2.4.4 Quiz
Exercise
2.4.5 Solved Problem 2
Video
20:14
2.4.5 Quiz
Exercise
2.4.6 Solved Problem 3
Video
18:58
2.4.6 Quiz
Exercise
2.4.7 Solved Problem 4
PDF
2.4.8 Exercises
PDF
Unit 3: Solution of Equations & Eigenvalue Problems (AnnaM2)
15 Exercises • 81 Learning Materials
3.1 The Iteration method
3.1.1 Solution of algebraic and transcendental equations
PDF
3.1.2 Fixed Point Iteration
PDF
3.1.3 Applications
PDF
3.1.4 Solved Problem 1
Video
11:45
3.1.5 Solved Problem 2
Video
11:41
3.1.6 Solved Problem 3
Video
9:41
3.1.7 Solved Problem 4
Video
10:55
3.1.8 Exercises
PDF
3.2 Newton-Raphson method
3.2.1 Introduction
PDF
3.2.2 Newton-Raphson method
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3.2.3 Criterion for convergence
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3.2.4 Geometrical interpretation of Newton’s Method
PDF
3.2.5 Solved Problem 1
Video
9:32
3.2.6 Solved Problem 2
Video
9:59
3.2.7 Solved Problem 3
Video
8:50
3.2.8 Solved Problem 4
PDF
3.2.9 Solved Problem 5
PDF
3.2.10 Solved Problem 6
PDF
3.2.11 Solved Problem 7
PDF
3.2.12 Solved Problem 8
PDF
3.2.13 Exercises
PDF
3.3 Gauss – Elimination method
3.3.1 Solution of linear system By Gauss – Elimination method
PDF
3.3.2 Gauss – Elimination method
PDF
3.3.3 Solved Problem 1
Video
8:11
3.3.3 Quiz
Exercise
3.3.4 Solved Problem 2
Video
7:36
3.3.4 Quiz
Exercise
3.3.5 Solved Problem 3
Video
8:11
3.3.5 Quiz
Exercise
3.3.6 Solved Problem 4
PDF
3.3.7 Solved Problem 5
PDF
3.3.8 Solved Problem 6
PDF
3.3.9 Solved Problem 7
PDF
3.3.10 Exercises
PDF
3.4 Gauss – Jordan method
3.4.1 Gauss – Jordan method
PDF
3.4.2 Solved Problem 1
Video
6:27
3.4.2 Quiz
Exercise
3.4.3 Solved Problem 2
Video
8:14
3.4.3 Quiz
Exercise
3.4.4 Solved Problem 3
Video
7:39
3.4.4 Quiz
Exercise
3.4.5 Solved Problem 4
PDF
3.4.6 Solved Problem 5
PDF
3.4.7 Solved Problem 6
PDF
3.4.8 Solved Problem 7
PDF
3.4.9 Exercises
PDF
3.5 Gauss Jacobi's Method
3.5.1 Introduction
PDF
3.5.2 Gauss jacobi's Method
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3.5.3 Solved Problem 1
Video
9:27
3.5.3 Quiz
Exercise
3.5.4 Solved Problem 2
Video
10:29
3.5.4 Quiz
Exercise
3.5.5 Solved Problem 3
Video
11:38
3.5.5 Quiz
Exercise
3.5.6 Solved Problem 4
PDF
3.5.7 Exercises
PDF
3.6 Gauss - Seidel Method
3.6.1 Introduction
PDF
3.6.2 Gauss – Seidel Method
PDF
3.6.3 Solved Problem 1
Video
11:46
3.6.3 Quiz
Exercise
3.6.4 Solved Problem 2
Video
11:32
3.6.4 Quiz
Exercise
3.6.5 Solved Problem 3
Video
9:23
3.6.5 Quiz
Exercise
3.6.6 Solved Problem 4
PDF
3.6.7 Solved Problem 5
PDF
3.6.8 Solved Problem 6
PDF
3.6.9 Solved Problem 7
PDF
3.6.10 Exercises
PDF
3.7 Eigen values of matrix by Power method
3.7.1 Introduction
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3.7.2 Eigenvalues of matrix by Power method
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3.7.3 Power method
PDF
3.7.4 Solved Problem 1
Video
9:51
3.7.4 Quiz
Exercise
3.7.5 Solved Problem 2
Video
6:38
3.7.5 Quiz
Exercise
3.7.6 Solved Problem 3
Video
11:22
3.7.6 Quiz
Exercise
3.7.7 Solved Problem 4
PDF
3.7.8 Solved Problem 5
PDF
3.7.9 Solved Problem 6
PDF
3.7.10 Solved Problem 7
PDF
3.7.11 Solved Problem 8
PDF
3.7.12 Solved Problem 9
PDF
3.7.13 Exercises
PDF
3.8 Jacobi Method For Symmetric Matrix
3.8.1 Introduction
PDF
3.8.2 Eigenvalue of a matrix by jacobi method for symmetric matrix
PDF
3.8.3 Eigenvalues of 2×2 matrix by Jacobi Method
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3.8.4 Extension to Higher order Symmetric Matrices
PDF
3.8.5 Solved Problem 1
Video
5:43
3.8.6 Solved Problem 2
Video
13:31
3.8.7 Solved Problem 3
PDF
3.8.8 Solved Problem 4
PDF
3.8.9 Solved Problem 5
PDF
3.8.10 Solved Problem 6
PDF
3.8.11 Exercises
PDF
Unit 4: Interpolation, Numerical Differentiation and Numerical Integration (AnnaM2)
95 Learning Materials
4.1 Lagrange’s interpolations method
4.1.1 Introduction.pdf
PDF
4.1.2 Lagrange's Interpolation formula
PDF
4.1.3 Inverse Interpolation formula
PDF
4.1.4 Solved Problem 1
Video
6:12
4.1.5 Solved Problem 2
Video
9:44
4.1.6 Solved Problem 3
Video
7:40
4.1.7 Solved Problem 4
Video
5:24
4.1.8 Solved Problem 5
Video
4:14
4.1.9 Type I - Solved Problem 6
PDF
4.1.10 Solved Problem 7
PDF
4.1.11 Solved Problem 8
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4.1.12 Solved Problem 9
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4.1.13 Solved Problem 10
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4.1.14 Type II - Solved Problem 11
PDF
4.1.15 Solved Problem 12
PDF
4.1.16 Exercises
PDF
4.2 Newton’s divided difference interpolations
4.2.1 Introduction
PDF
4.2.2 Properties of Divided Differences
PDF
4.2.3 Newton’s Divided Difference Formula
PDF
4.2.4 Solved Problem 1
Video
9:33
4.2.5 Solved Problem 2
Video
8:53
4.2.6 Solved Problem 3
Video
10:8
4.2.7 Solved Problem 4
PDF
4.2.8 Solved problem 5
PDF
4.2.9 Solved problem 6
PDF
4.2.10 Solved problem 7
PDF
4.2.11 Exercises
PDF
4.3 Newton’s forward and backward difference Interpolation
4.3.1 Introduction
PDF
4.3.2 Newton's backward Interpolation formula
PDF
4.3.3 Solved Problem 1
Video
6:33
4.3.4 Solved Problem 2
Video
7:42
4.3.5 Solved Problem 3
Video
7:5
4.3.6 Solved Problem 4
Video
10:29
4.3.7 Type I - Solved Problem 5
PDF
4.3.8 Solved Problem 6
PDF
4.3.9 Type II - Solved Problem 7
PDF
4.3.10 Solved Problem 8
PDF
4.3.11 Solved Problem 9
PDF
4.3.12 Exercises
PDF
4.4 Approximation of derivatives using interpolation polynomials
4.4.1 Introduction
PDF
4.4.2 Derivative using Newton's forward difference Interpolating formula
PDF
4.4.3 Derivative using Newton's backward difference Interpolating formula
PDF
4.4.4 Maxima and Minima of a Tabulated Function
PDF
4.4.5 Solved Problem 1 - Newton's Forward Formula
Video
8:42
4.4.6 Solved Problem 2
Video
7:00
4.4.7 Solved problem 3
PDF
4.4.8 Solved problem 4
PDF
4.4.9 Solved problem 5 - Newton's Backward Formula
PDF
4.4.10 Solved problem 6
PDF
4.4.11 Solved problem 7 - Newton's Forward & Backward Formula
Video
14:49
4.4.12 Solved problem 8
PDF
4.4.13 Solved problem 9 - Newton's Divided Difference(Arguments are not equally spaced)
PDF
4.4.14 Solved problem 10 - Maxima & Minima
Video
11:23
4.4.15 Solved problem 11
PDF
4.4.16 Exercises
PDF
4.5 Trapezoidal rule
4.5.1 Introduction
PDF
4.5.2 A general quadrature formula for equidistant ordinates
PDF
4.5.3 Trapezoidal Rule
PDF
4.5.4 Solved problem 1
Video
7:29
4.5.5 Solved problem 2
Video
5:5
4.5.6 Solved problem 3
Video
6:39
4.5.7 Solved Problem 4
PDF
4.5.8 Solved Problem 5
PDF
4.5.9 Solved Problem 6
PDF
4.5.10 Exercises
PDF
4.6 Simpson’s 1/3 rule
4.6.1 Simpson's one-third Rule
PDF
4.6.2 Solved Problem 1
Video
5:37
4.6.3 Solved Problem 2
Video
5:41
4.6.4 Solved Problem 3
Video
8:1
4.6.5 Solved Problem 4
Video
6:22
4.6.6 Solved Problem 5
PDF
4.6.7 Solved Problem 6
PDF
4.6.8 Solved Problem 7
PDF
4.6.9 Solved Problem 8
PDF
4.6.10 Solved Problem 9
PDF
4.6.11 Exercises
PDF
4.7 Trapezoidal rule for double Integral
4.7.1 Evaluation of double integral using Trapezoidal method
PDF
4.7.2 Solved problem 1
Video
7:52
4.7.3 Solved problem 2
Video
9:14
4.7.4 Solved problem 3
Video
7:7
4.7.5 Solved Problem 4
PDF
4.7.6 Solved Problem 5
PDF
4.7.7 Solved Problem 6
PDF
4.7.8 Exercises
PDF
4.8 Simpson’s rule for double Integral
4.8.1 Evaluation of double integrals using Simpson's method
PDF
4.8.2 Solved problem 1
Video
8:37
4.8.3 Solved problem 2
Video
13:27
4.8.4 Solved problem 3
Video
7:59
4.8.5 Solved problem 4
Video
21:6
4.8.6 Solved Problem 5
PDF
4.8.7 Solved Problem 6
PDF
4.8.8 Solved Problem 7
PDF
4.8.9 Solved Problem 8
PDF
4.8.10 Solved Problem 9
PDF
4.8.11 Exercises
PDF
Unit 5: Numerical Solution of ODE (AnnaM2)
70 Learning Materials
5.1 Taylor's series method
5.1.1 Introduction
PDF
5.1.2 Taylor's series method
PDF
5.1.3 Solved Problem 1
Video
7:46
5.1.4 Solved Problem 2
Video
7:4
5.1.5 Solved Problem 3
Video
11:45
5.1.6 Solved Problem 4
Video
10:57
5.1.7 Solved problem 5
PDF
5.1.8 Solved problem 6
PDF
5.1.9 Solved problem 7
PDF
5.1.10 Solved problem 8
PDF
5.1.11 Solved problem 9
PDF
5.1.12 Exercises
PDF
5.2 Euler's method
5.2.1 Introduction
PDF
5.2.2 Euler's method
PDF
5.2.3 Solved Problem 1
Video
3:51
5.2.4 Solved Problem 2
Video
5:22
5.2.5 Solved Problem 3
Video
5:59
5.2.6 Solved problem 4
PDF
5.2.7 Solved problem 5
PDF
5.2.8 Solved problem 6
PDF
5.2.9 Solved problem 7
PDF
5.2.10 Exercises
PDF
5.3 Modified Euler's method
5.3.1 Modified Euler's Method
PDF
5.3.2 Solved Problem 1
Video
5:1
5.3.3 Solved Problem 2
Video
5:23
5.3.4 Solved Problem 3
Video
8:41
5.3.5 Solved Problem 4
Video
11:46
5.3.6 Solved problem 5
PDF
5.3.7 Solved problem 6
PDF
5.3.8 Solved problem 7
PDF
5.3.9 Solved problem 8
PDF
5.3.10 Solved problem 9
PDF
5.3.11 Solved Problem 10
PDF
5.3.12 Exercises
PDF
5.4 Runge-Kutta Method
5.4.1 Runge-Kutta Methods
PDF
5.4.2 Runge-Kutta methods for first order equations
PDF
5.4.3 Runge-Kutta methods for simultaneous first order equations
PDF
5.4.4 Runge-Kutta methods for second order equations
PDF
5.4.5 Solved Problem 1
Video
10:48
5.4.6 Solved Problem 2
Video
15:8
5.4.7 Solved Problem 3
Video
13:22
5.4.8 Solved Problem 4
Video
16:48
5.4.9 Solved problem 5
PDF
5.4.10 Solved problem 6
PDF
5.4.11 Solved problem 7
PDF
5.4.12 Solved problem 8
PDF
5.4.13 Solved problem 9
PDF
5.4.14 Solved problem 10
PDF
5.4.15 Solved problem 11
PDF
5.4.16 Exercises
PDF
5.5 Milne's predictor-corrector method
5.5.1 Milne's Predictor-Corrector Method
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5.5.2 Milne’s Predictor-Corrector formula
PDF
5.5.3 Important Notes
PDF
5.5.4 Solved Problem 1
Video
6:55
5.5.5 Solved Problem 2
Video
6:00
5.5.6 Solved Problem 3
Video
5:48
5.5.7 Solved Problem 4
Video
5:56
5.5.8 Solved problem 5
PDF
5.5.9 Solved problem 6
PDF
5.5.10 Solved problem 7
PDF
5.5.11 Solved Problem 8
PDF
5.5.12 Exercises
PDF
5.6 Adams-Bashforth predictor-corrector method
5.6.1 Adams-Bashforth Predictor-Corrector Method
PDF
5.6.2 Solved Problem 1
Video
7:35
5.6.3 Solved Problem 2
Video
7:26
5.6.4 Solved Problem 3
Video
6:43
5.6.5 Solved problem 4
PDF
5.6.6 Solved problem 5
PDF
5.6.7 Solved problem 6
PDF
5.6.8 Exercises
PDF
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