Numerical Analysis and Statistics
Topics
Part-A
- Interpolation
- Numerical Differentiation
- Numerical Integration
- Moment, Skewness and Kurtosis
- Distribution & Probability
- Numerical Methods for Finding Roots
- Numerical Methods for Solving Linear Equations
- Numerical Solution of ODE + PDE
Books
“Numerical Methods by S.R.K. Iyengar & R.K. Jain” is used as textbook.
Chapter Wise Books
Staem Table
Lectures
Robiul Sir Lecture
Previous Lectures
Monjur Morshed Sir's Lectures
Nurul Islam Sir's Lectures
Golam Kibria Sir's Lectures
Assignments
⚠ The solutions are to help your thinking so that you can understand whether your thinking is correct or not. Don’t just copy and paste them. First do it yourself and then see the solution.
Notes
Updates
Semester Question Pattern
Section-A
- Interpolation – 1 set Qsn
- Numerical Differentiation + Numerical Integration – 1 set Qsn
- Moment, Skewness and Kurtosis – 1 set Qsn
- Distribution & Probability – 1 set Qsn
- Numerical Methods for Finding Roots – 1 set Qsn
- Numerical Methods for Solving Linear Equations – 1 set Qsn
- Numerical Solution of ODE PDE – 2 set Qsn
YouTube Lessons
Numerical Analysis
Playlist Videos
1
Numerical Methods II Concept of Algebraic & Transcendental Equations II Bisection Method(Lecture-01)
2
Numerical Methods II Concept of Regula Falsi Method & Problems(Lecture-02)
3
Numerical Methods II Concept of Newton Raphson Method & Problems(Lecture-3)
4
Numerical Methods || Concept of Interpolation
5
Numerical Methods || Interpolation - Concept of Difference operators Part 2
6
Numerical Methods || Interpolation - Relation Between Operators
7
Numerical Methods || Interpolation - some more example Difference Operators
8
Numerical Methods || Interpolation - Construction of Forward, Backward and Central Difference Tables
9
Numerical Methods || Interpolation - Find missing Terms using Difference Tables
10
Interpolation - Proof of Newton Forward & Backward Formulas in Hindi
11
Numerical Methods || Interpolation - Problems on Newtons Forward and Backward Interpolation Part-1
12
Numerical Methods || Problem on Newtons Forward & Backward Interpolation part 2
13
Interpolation - Gauss Forward Central Difference Formula in Hindi (Lecture 5)
14
Interpolation - Gauss Backward Central Difference Formula in Hindi (Lecture 6)
15
Interpolation - Stirling Central Difference formula in hindi (Lecture 7)
16
Interpolation - Bessel's Central Difference Interpolation Formula in Hindi
17
Numerical Methods || Interpolation - Lagrange's Interpolation Formula (Proof)
18
Numerical Methods || Interpolation Problem on Lagrange's Interpolation Formula for Unequal Intervals
19
Numerical Methods || Interpolation - Concept of Dividend Difference and It's Properties
20
Numerical Methods || Interpolation - Formation of Divided Difference Table
21
Numerical Methods || Newton's Divided Difference Interpolation Formula (state and prove)
22
Numerical Methods || Interpolation - Problems on Newton Divided Difference Interpolation
23
Numerical Methods || Interpolation - Concept of Inverse Interpolation, Formula used and Problems
24
Interpolation || Concept of Numerical Differentiation + Formula for Equal Interval Part 1
25
Interpolation || Numerical Differentiation II Problem on Equal Interval Data II Part 2
26
Interpolation || Numerical Differentiation for Unequal Interval using Lagrange's & Newton's Formula
27
Numerical Integration : Newton Cote's Formula's - Concept & Derivation in Hindi
28
Numerical Methods || Numerical Integration - Concept of Trapezoidal Rule & Problems
29
Numerical Methods || Numerical Integration - Concept of Simpson 1/3 & 3/8 Rule + Problems
30
Numerical Methods || Numerical Integration- Concept of Boole's Rule and Problem
31
Numerical Methods|| Numerical Integration - Concept of Weddle's Rule and Problems
32
Numerical Methods || Numerical Solution of Simultaneous Linear Algebraic Equation: Introduction
33
Numerical Methods ll Concept of Gauss elimination Method (pivot method) + Problems
34
Numerical Methods || Concept of Gauss Jordan method + Problems
35
Numerical Methods || Concept of LU Decomposition (Factorization) method + Problems
36
Numerical Methods || Jacobi Iteration Method II Working Rule + Problem
37
Numerical Methods ||Gauss Seidel Iteration Method II Working Rule + Problem
38
Numerical Methods || Numerical Solution of Ordinary Differential Equation Introduction
39
Numerical Methods || Picard Method successive of Integration and Problem
40
Numerical methods || Taylor series method + problems numerical solution of ODE
41
Numerical Method || Solution of ODE by Euler's Method: concept and working rule
42
Numerical Methods || Solution of ODE by Euler's Method Solved Problems
43
Numerical Methods || Euler's Modified Method - Concept & Working Rule
44
Numerical Methods || Solution of ODE by Euler's Modified methods solved problems
45
Numerical Methods || Solution of ODE by Runge Kutta Method : Working Rule
46
Numerical Solution ||Solution of ODE by Runge Kutta Method Problems and Solutions
47
Numerical Methods II Solution of ODE by Milne’s Predictor- Corrector Method
48
Numerical Methods || Solution of ODE by Milne's Predictor and Corrector Method Working Rule
49
Numerical Methods || Solution of ODE by Milne's Predictor & corrector Method Problem & Solution
50
Numerical Methods || Solution of ODE by Adams Bashforth Method Working Rule
51
Numerical Method || Solution of ODE by Adams Bashforth method Problems and Solutions
Statistics And Probability
Playlist Videos
1
Overview, Sample Space & Types of Events | By GP Sir
2
Probability & Additional Theorem | By GP Sir
3
Probability of Independent Events & Some Deduction | By GP Sir
4
Conditional Probability | By GP Sir
5
Bayes' Theorem | Probability | By GP Sir
6
Discrete Random Variable & Probability Mass Function | By GP Sir
7
Continuous Random Variable & Probability Density Function | By GP Sir
8
Mathematical Expectation | By GP Sir
9
Variance of Random Variable | By GP Sir
10
Moments about a Point, Moment about Mean & Origin | By GP Sir
11
Pearson's Coefficient, Skewness & Kurtosis | By GP Sir
12
Binomial Distribution | Mean and Variance | By GP Sir
13
MGF, CF & Recurrence Relation | By GP Sir
14
Fitting of Binomial Distribution | Mean and Variance | By GP Sir
15
Poisson Distribution | By GP Sir
16
Poisson Distribution | Mean and Variance | By GP Sir
17
Poisson Distribution | MGF, Recurrence Relations and Fitting | By GP Sir
18
Normal Distribution | Mean and Variance | By GP Sir
19
Normal Distribution | MGF & Standard Normal Distribution | By GP Sir
20
Normal Distribution | Area Under The Standard Probability Curve | By GP Sir
21
Normal Distribution | Area Under The Standard Probability Curve | By GP Sir
22
Uniform Distribution | Mean, Variance & M.G.F | By GP Sir
23
Exponential Distribution | By GP Sir
24
Bivariate Discrete Random Variable | By GP Sir
25
Bivariate Continuous Random Variable, Joint PDF, Marginal PDF x and y | By GP Sir
26
Correlation Coefficient Concept & Example | By GP Sir
27
Rank Correlation Coefficient | Spearman Rank Correlation | By GP Sir
28
Rank Correlation Coefficient Part 2 | Spearman Rank Correlation | By GP Sir
29
Regression Coefficients & Line of Regression | By GP Sir
30
Angle between Two Lines of Regression | By GP Sir
31
Curve Fitting of Straight Line | By GP Sir
32
Parabolic Curve Fitting | By GP Sir
33
Partial Correlation | By GP Sir
34
Multiple Correlation | By GP Sir
35
Gamma Distribution | Mean & Variance M.G.F | By GP Sir
36
Beta Distribution of First Kind | Mean, Variance & Harmonic Mean | By GP Sir
37
Beta Distribution of Second Kind | Mean, Variance & Harmonic Mean | By GP Sir
38
Gamma & Beta Distribution Important Example | By GP Sir
39
Cauchy Distribution | Proof & Examples | By GP Sir
40
Laplace Distribution | Double Exponential Distribution | By GP Sir
41
Weibul Distribution | Mean & Variance MGF | By GP Sir
42
Log Normal Distribution | Mean & Variance MGF | By GP Sir
43
CHI - Square Distribution | Concept & Example By GP Sir
44
CHI - Square Distribution | Mean, Variance, Mode, Skewness, Kurtosis MGF | By GP Sir
45
CHI - Square Distribution | Limiting Form Important Theorem By GP Sir
46
CHI -Square Test of Testing of Hypothesis | Population of Variance By GP Sir
47
CHI -Square Test of Testing Hypothesis | Independence of Attribute By GP Sir
48
CHI Square Test Explained | Testing of Hypothesis | Goodness of Fit | By GP Sir
49
CHI Square Test Explained | Hypothesis Testing & Yates Correction | By GP Sir
50
T Distribution | PDF Derivation & Theory | By GP Sir
51
T Distribution | Mean, Variance, Mode & Limiting Case Explained | By GP Sir
52
t - Test Population Mean | Hypothesis Testing Explained Simply | By GP Sir
53
t - Test | Difference Between Two Means | Hypothesis Testing Step by Step | By GP Sir
54
Paired t - Test Explained | Hypothesis Testing Made Easy | By GP Sir
55
t - Test | Hypothesis Testing of Correlation Coefficient Explained Simply | By GP Sir
56
F - Distribution | Concept & Derivation of PDF | By GP Sir
57
F - Distribution | Mean, Median & Mode Complete Derivation | By GP Sir
58
F - Test | Hypothesis Testing Variance Ratio Test | By GP Sir
59
Fisher's Z Distribution | Complete Concept & Derivation of PDF of Fisher's Z Distribution By GP Sir
60
Fisher's Z Test | Hypothesis Testing | Concept & Example By GP Sir
61
Fisher's Z Test | Hypothesis Testing | Difference Between Correlation Coefficient By GP Sir
62
Testing of Hypothesis for Large Sample | About Population Mean By GP Sir
63
Testing of Hypothesis for Large Sample | Difference Two Population Mean | By GP Sir
64
Testing of Hypothesis for Large Sample | About Population Proportion | By GP Sir
65
Testing of Hypothesis for Large Sample | Difference Between Two Population Proportion | By GP Sir
66
Hypothesis Testing | Type 1 & Type 2 | By GP Sir
67
ANOVA and It's Types | One Way ANOVA (CRD) | Analysis of Variance Explained | By GP Sir