Statistics and Numerical Methods (MA3251) - Vivekananda Faculties
Course Instructor
Promath
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Course Overview
Schedule of Classes
Course Curriculum
5 Subjects
Unit 1: Testing of Hypothesis (MA3251) staff
28 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
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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
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1.2. Student's t-distribution
1.2.1 Test of significance
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1.2.2 Student T-test
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1.2.3 Confidence of Fiduals
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1.2.4 Student T-test for single mean
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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
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1.2.9 Solved problem 5
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1.2.10 Solved problem 6
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1.2.11 Solved problem 7
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1.2.12 Solved problem 8
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1.2.13 Solved problem 9
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1.2.14 Student t-test
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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
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1.2.19 Solved problem 5
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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
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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
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1.2.28 Solved problem 5
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1.2.29 Solved problem 6
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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
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1.2.34 Solved Problem 1
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1.2.35 Solved problem 2
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1.2.36 Solved problem 3
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1.2.37 Solved Problem 4
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1.2.38 Value of lamda
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1.2.39 Exercises
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1.3 Chi-square Distribution
1.3.1 Introduction
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1.3.2 X square as a goodness of fit
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1.3.3 Conditions of validity
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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
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1.3.8 Solved Problem 5
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1.3.9 Solved Problem 6
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1.3.10 Chi-square test for Independence of Attributes
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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
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1.3.17 Solved Problem 7
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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
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1.3.22 Exercises
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1.4. F–test for equality of population variances
1.4.1 sincoders F-test of significance
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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
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1.4.6 Solved Problem 5
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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-distreibution Table
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1.4.10 F0.05-distreibution Table
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1.4.11 Exercises
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Unit 2: Design of Experiments (MA3251) staff
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
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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
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2.1.10 Solved Problem 5
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2.1.11 Solved Problem 6
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2.1.12 Exercises
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2.2 Two Way Classification
2.2.1 Two-Way Classification
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2.2.2 Two-Way Classification Application in Engineering
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2.2.3 Working Procedure Two-way Classification
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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
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2.2.8 Solved Problem 5
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2.2.9 Solved Problem 6
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2.2.10 Solved Problem 7
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2.2.11 Solved Problem 8
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2.2.12 Solved Problem 9
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2.2.13 Exercises
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2.3 Latin Square Design
2.3.1 Latin Square Design
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2.3.2 Working Procedure - Latin Square Design
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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
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2.3.7 Solved Problem 5
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2.3.8 Solved Problem 6
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2.3.9 Solved Problem 7
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2.3.10 Solved Problem 8
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2.3.11 Solved Problem 9
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2.3.12 Exercises
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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
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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
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Unit 3: Solution of Equations & Eigenvalue Problems (MA3251) staff
15 Exercises • 81 Learning Materials
3.1 The Iteration method
3.1.1 Solution of algebraic and transcendental equations
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3.1.2 Fixed Point Iteration
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3.1.3 Applications
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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
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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
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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
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3.2.9 Solved Problem 5
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3.2.10 Solved Problem 6
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3.2.11 Solved Problem 7
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3.2.12 Solved Problem 8
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3.2.13 Exercises
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3.3 Gauss – Elimination method
3.3.1 Solution of linear system By Gauss – Elimination method
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3.3.2 Gauss – Elimination method
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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
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3.3.7 Solved Problem 5
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3.3.8 Solved Problem 6
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3.3.9 Solved Problem 7
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3.3.10 Exercises
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3.4 Gauss – Jordan method
3.4.1 Gauss – Jordan method
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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
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3.4.6 Solved Problem 5
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3.4.7 Solved Problem 6
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3.4.8 Solved Problem 7
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3.4.9 Exercises
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3.5 Gauss Jacobi's Method
3.5.1 Introduction
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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
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3.6 Gauss - Seidel Method
3.6.1 Introduction
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3.6.2 Gauss – Seidel Method
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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
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3.6.7 Solved Problem 5
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3.6.8 Solved Problem 6
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3.6.9 Solved Problem 7
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3.6.10 Exercises
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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
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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
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3.7.8 Solved Problem 5
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3.7.9 Solved Problem 6
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3.7.10 Solved Problem 7
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3.7.11 Solved Problem 8
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3.7.12 Solved Problem 9
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3.7.13 Exercises
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3.8 Jacobi Method For Symmetric Matrix
3.8.1 Introduction
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3.8.2 Eigenvalue of a matrix by jacobi method for symmetric matrix
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3.8.3 Eigenvalues of 2×2 matrix by Jacobi Method
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3.8.4 Extension to Higher order Symmetric Matrices
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3.8.5 Solved Problem 1
Video
5:43
3.8.6 Solved Problem 2
Video
13:31
3.8.7 Solved Problem 3
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3.8.8 Solved Problem 4
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3.8.9 Solved Problem 5
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3.8.10 Solved Problem 6
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3.8.11 Exercises
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Unit 4: Interpolation, Numerical Differentiation and Numerical Integration (MA3251) staff
95 Learning Materials
4.1 Lagrange’s interpolations method
4.1.1 Introduction.pdf
PDF
4.1.2 Lagrange's Interpolation formula
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4.1.3 Inverse Interpolation formula
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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
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4.1.10 Solved Problem 7
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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
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4.1.15 Solved Problem 12
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4.1.16 Exercises
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4.2 Newton’s divided difference interpolations
4.2.1 Introduction
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4.2.2 Properties of Divided Differences
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4.2.3 Newton’s Divided Difference Formula
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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
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4.2.8 Solved problem 5
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4.2.9 Solved problem 6
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4.2.10 Solved problem 7
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4.2.11 Exercises
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4.3 Newton’s forward and backward difference Interpolation
4.3.1 Introduction
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4.3.2 Newton's backward Interpolation formula
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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
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4.3.9 Type II - Solved Problem 7
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4.3.10 Solved Problem 8
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4.3.11 Solved Problem 9
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4.3.12 Exercises
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4.4 Approximation of derivatives using interpolation polynomials
4.4.1 Introduction
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4.4.2 Derivative using Newton's forward difference Interpolating formula
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4.4.3 Derivative using Newton's backward difference Interpolating formula
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4.4.4 Maxima and Minima of a Tabulated Function
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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
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4.4.8 Solved problem 4
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4.4.9 Solved problem 5 - Newton's Backward Formula
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4.4.10 Solved problem 6
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4.4.11 Solved problem 7 - Newton's Forward & Backward Formula
Video
14:49
4.4.12 Solved problem 8
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4.4.13 Solved problem 9 - Newton's Divided Difference(Arguments are not equally spaced)
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4.4.14 Solved problem 10 - Maxima & Minima
Video
11:23
4.4.15 Solved problem 11
PDF
4.4.16 Exercises
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4.5 Trapezoidal rule
4.5.1 Introduction
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4.5.2 A general quadrature formula for equidistant ordinates
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4.5.3 Trapezoidal Rule
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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
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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
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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
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4.6.8 Solved Problem 7
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4.6.9 Solved Problem 8
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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
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4.8.9 Solved Problem 8
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4.8.10 Solved Problem 9
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4.8.11 Exercises
PDF
Unit 5: Numerical Solution of ODE (MA3251) staff
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
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5.3.11 Solved Problem 10
PDF
5.3.12 Exercises
PDF
5.4 Runge-Kutta Method
5.4.1 Runge-Kutta Methods
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5.4.2 Runge-Kutta methods for first order equations
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5.4.3 Runge-Kutta methods for simultaneous first order equations
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5.4.4 Runge-Kutta methods for second order equations
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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
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5.4.11 Solved problem 7
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5.4.12 Solved problem 8
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5.4.13 Solved problem 9
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5.4.14 Solved problem 10
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5.4.15 Solved problem 11
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5.4.16 Exercises
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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
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5.5.3 Important Notes
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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
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5.5.10 Solved problem 7
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5.5.11 Solved Problem 8
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5.5.12 Exercises
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5.6 Adams-Bashforth predictor-corrector method
5.6.1 Adams-Bashforth Predictor-Corrector Method
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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
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5.6.7 Solved problem 6
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5.6.8 Exercises
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Course Instructor
Promath
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