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NUMERICAL ANALYSIS + MATHEMATICAL MODLLING + FLUID MECHANICS +ADVANCED MECHANICS

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Course Overview

Schedule of Classes

Start Date & End Date

Feb 10 2023 - Jun 30 2023

Course Curriculum

4 Subjects

numerical analysis

17 Exercises133 Learning Materials

NUMBERS AND ERRORS

LECTURE 1

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LECTURE 2

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LECTURE 3

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LECTURE 4

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LECTURE 5

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LECTURE 6

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TEN YEARS AND MCQ OF NUMBERS AND ERRORS

Assignment

OPERATOR

LECTURE 1

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LECTURE 2

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LECTURE 3

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LECTURE 4

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10 YEARS

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INTERPOLATION

LECTURE 1

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LECTURE -2

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LECTURE 3

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LECTURE 4

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LECTURE-5

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LECTURE -6

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LECTURE-7

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LECTURE -8

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LECTURE-9

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LECTURE-10

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LECTURE-11

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lecture -12 | lagrange interpolation formula

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lecture-13

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lecture-14

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lecture-15

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LECTURE-16 | V.V.I ( RECORDED)

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LECTURE-17

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LECTURE-18

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lecture-19 | hermite interpolation | recorded

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LECTURE 20 | DIVIDED DIFFERENCE | MATH

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LECTURE 21

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TEN YEARS QUESTION OF INTERPOLATION

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MCQ QUESTIONS OF INTERPOLATION

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LECTURE 22

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Numerical Analysis-Interpolation

NUMERICAL PRACTICLE

LECTURE-1 | NEWTON FORWARD INTERPOLATION FORMULA

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LECTURE 2 | LAGRANGE

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10 YEARS QUESTION

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LECTURE -3 |DIVIDED DIFFERENCE

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1:38:3

LECTURE 4 | INTEGRATION

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1:47:4

LECTURE-5 | EULER PRACTICLE DIFFERENTIAL EQUATION

Video
53:26

LECTURE 6 | numerical practicle | bisection and weddles

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2:12:44

LECTURE 7 | REGULA FALSI

Video
55:54

LECTURE-8 | NEWTON RAPHSON PRACTICLE

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1:50:42

PRACTICLE CODE

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RK 4 METHOD

Video
1:18:18

PICARD

Video
1:53:27

VIVA QUESTION

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1:45:1

NUMERICAL DIFFERENTIATION

LECTURE 1

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LECTURE -2 | DIVIDED DIFFERENCE DIFFERENTIATION FORMULA (RECORDED)

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LECTURE 3

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lecture 4

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1:3:6

PRACTICE SET

PRACTICE SET 1 INTERPOLATION

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PRACTICE SET 2

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PRACTICE SET 3

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PRACTICE SET 4

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PRACTICE SET 5

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PRACTICE SET 6

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ALGEBRAIC AND TRANSCENDENTAL EQUATION

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PRACTICE SET 7

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PRACTICE SET 8

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PRACTICE SET-9 very important

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PRACTICE SET 10 VERY IMPORTANT

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PRACTICE SET 11 VERY IMPORNANT

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NUMERICAL INTEGRATION

LECTURE 1

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LECTURE 2

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LECTURE 3

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LECTURE-4 | SIMPSON 1/3 RULE

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LECTURE-5 |TRAPEZOIDAL RULE MATHS

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1:31:45

LECTURE-6 | COMPOSITE SIMPSON 1/3 RULE | MATHS (RECORDED)

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1:14:29

lecture-7 | simpson 3/8 rule

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1:40:28

LECTURE 8 | WEDDLE'S RULE AND BOOLE'S RULE

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1:30:40

lecture- 9 | composite weddle's rule, maths, error

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1:27:44

lecture-10 | newton cotes closed type formula

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1:21:36

LECTURE-11 | OBTAIN VARIOUS FRORMULA FROM NEWTON COTES

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1:48:32

LECTURE-12 | TEN YEARS MATHS OF NUMERICAL INTEGRATION

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1:41:59

10 YEARS QUESTION

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INTEGRATION IMPORTANT NOTES

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LECTURE-13 |GAUSS QUADRATURE

Video
11:34

Differential equation

lecture-1

Video
55:20

lecture-2| euler method maths

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1:7:52

LECTURE 3

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1:30:40

LECTURE 4

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1:3:58

10 YEARS QUESTION

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LECTURE-5 | RK4 MATH

Video
27:13

LECTURE 6

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1:3:6

10 YEARS QUESTION

10 YEARS QUESTION

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important question solution

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MCQ PREVIOUS YEAR SOLUTION

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ROOT OF ALGEBRI AND TRANSCENDENTAL EQUATION

LECTURE 1

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2:7:58

LECTURE 2

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1:44:57

LECTURE 3

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1:27:51

LECTURE 4

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1:50:39

LECTURE 5 (Newton raphson method)

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1:49:36

LECTURE 6

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2:34:16

LECTURE 7

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1:48:49

LECTURE 8 | regula falsi math | important maths of ten years

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1:37:36

lecture 9

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40:45

LECTURE10| NEWTONS METHOD

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1:30:53

LECTURE 11

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2:7:54

POWER METHOD OF FINDING EIGEN VALUE AND VECTOR

POWER METHOD

Video
1:32:53

EXAM

EXAM

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EXAM

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NUMERICAL

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MODELLING

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NUMERICAL EXAM FULL 1

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NUMERICAL FULL EXAM 2

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NUMERICAL ULL EXAM 3

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SYSTEM OF LINEAR EQUATION

LECTURE 1

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1:5:15

LECTURE 2

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2:6:58

LECTURE 3

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2:1:22

LECTURE 4

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1:10:10

LECTURE 6

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1:35:59

LECTURE 5

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1:21:12

lecture 7

Video
52:36

LECTURE 8

Video
1:47:43

LECTURE 9

Video
1:25:40

theorem

25 DAYS CHALLENGE

DAY -1

Assignment

DAY -1

PDF

DAY -2

Assignment

DAY -2

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DAY -3

Assignment

DAY-3

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DAY-4

Assignment

DAY -4

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DAY -5

Assignment

DAY -5

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DAY-6

Assignment

DAY -6

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DAY 7

Assignment

DAY 7

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DAY 9

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DAY 9

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DAY 10

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DAY 10

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DAY 11

Assignment

DAY 11

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DAY 12

Assignment

DAY 12

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DAY -13

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DAY -13

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DAY -14

Assignment

DAY - 14

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DAY 16

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DAY 16

Assignment

DAY -18

Assignment

DAY -18

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FULL MARKS EXAM 2024

FULL MARKS EXAM

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FULL MARKS EXAM

Assignment

Mathematical modeling

15 Exercises76 Learning Materials

LAPLACE TRANSFORMATION

LECTURE 1 (SYLLABUS DISCUSSN AND DEFINITION OF LAPLACE TRANSFORMATION)

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LECTURE-2

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LECTURE 3 | PROPERTIES OF LAPLACIAN OPERATOR

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NOTE -1 | LAPLACE TRANSFORMATION

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TEN YEARS AND MCQ OF LAPLACE

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lecture- 4

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lecture-5

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LECTURE 6

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LECTURE 7

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LECTURE 8 (RECORED)

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MODELLING NOTE 2

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LECTURE 9 INVERSE LAPLACE

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LECTURE 10 INVERSE LAPLACE

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INVERSE LAPLACE

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LAPLACE EXAMPLES

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DIFFERENTIAL EQUATIONS

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LECTURE -11

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LECTURE 12

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SERIES SOLUTION

LECTURE 1 | BESSEL

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LECTURE 2 | BESSEL

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TEN YEARS QUESTION BESSEL

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LECTURE 3

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LECTURE 4 |

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BESSEL

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PRACTICE SET

PRACTICE SET 1

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PRACTICE SET 2

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QUESTION BANK

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PRACTICE SET 3

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PRACTICE SET 4

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PRACTICE SET 5

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LEGENDRE EQUATION

10 YEARS QUESTION

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LECTURE 1

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1:9:51

NOTES

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LECTURE-2 | LEGENDRE FUNCTION OF FIRST KIND

Video
1:11:7

LECTURE 3

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1:28:19

LECTURE 4

Video
1:32:57

GENERATING RANDOM NUMBERS AND MONTE CARLO SIMULATION

PDF-1 | GENERATING RANDOM NUMBER THEORY AND MATH , MCQ

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LECTURE-1 | MIDDLE SQUARE METHOD

Video
1:33:31

LECTURE 2

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1:8:29

LECTURE -3 | LINEAR CONGRUENCE MATHOD AND MONTE CARLO

Video
1:24:39

LECTURE 4

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1:14:3

MODELLING (IMPORTANT NOTE)

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LECTURE 5

Video
1:40:19

LECTURE 6 MONTE CARLO

Video
50:2

Monte carlo important

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QUEING THEORY

LECTURE 1

Video
1:25:32

LECTURE 2

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1:45:52

LECTURE 3

Video
1:57:9

QUEING THEORY

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QUEING THEORY ALL NOTES

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QUEING THEORY NOTES 2

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harbour and formulation of lpp

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LECTURE 4 harbour and formulation of lpp

Video
2:26:15

Mathematical Modelling 2021-MCQ TEST

GRAPHICAL AND ALGEBRIC SOLUTION OF AN LPP

PDF-1

PDF

LECTURE 1

Video
1:32:40

LECTURE 2

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1:9:19

MODELLING-2022

SENSITIVITY ANALYSIS

LECTURE-1

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1:34:24

LECTURE-2 |V.V.I

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1:50:4

lecture-3 | v.v.i

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2:28:32

FULL EXAM

EXAM 1

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FULL EXAM 2

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FULL MARKS EXAM (23/06/2024)

Assignment

FULL MARKS EXAM (23/06/2024)

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25 DAYS CHALLENGE

DAY -1

Assignment

DAY -1

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DAY -2

Assignment

DAY -2

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DAY-3

Assignment

DAY-3

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DAY -4

Assignment

DAY-4

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DAY -5

Assignment

DAY -5

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DAY -6

Assignment

day -6

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DAY -7

Assignment

DAY -7

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DAY 9

Assignment

DAY 9

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DAY 10

Assignment

DAY 10

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DAY 11

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DAY 11

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DAY12

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DAY 12

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DAY -15

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DAY -15

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DAY 16

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DAY 16

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DAY -22

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DAY -22

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FLUID MECHANICS

14 Exercises63 Learning Materials

UNIT-1 | pressure of heavy fluid

lecture -1

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LECTURE-2 | PRESSURE AT A POINT IN A FLUID

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lecture-3

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lecture-4

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lecture-5

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PRESSURE OF HEAVY FLUIDS

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THRUST ON A PLANE SURFACE

LECTURE-1

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LECTURE-2

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LECTURE-3

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LECTURE-4

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EQUILIBRIUM OF FLUID

LECTURE 1

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LECTURE 2

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PDF 1

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LECTURE 3

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LECTURE 4

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1:3:15

LECTURE 5

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1:13:13

LECTURE 6

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1:26:1

GAS

LECTURE 1

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LECTURE 2

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LECTURE 3

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LECTURE 4

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STABILITY OF FLOATING BODY

LECTURE-1

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LECTURE-2

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LECTURE-3

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LECTURE-4

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LECTURE-5

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LECTURE-6

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LECTURE-7

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PDF 1

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LECTURE 8

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1:43:45

CENTRE OF PRESSURE

LECTURE-1

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1:48:53

NOTES 1

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LECTURE-2

Video
59:40

Fluid Kinematics

LECTURE 1 eularian lagrangian

Video
2:15:6

NOTES

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LECTURE-2

Video
1:12:24

LECTURE-3

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1:31:11

LECTURE-4

Video
59:5

lecture-5

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2:25:38

VVI NOTES

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LECTURE 6

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1:24:31

LECTURE-7 | EQUATION OF CONTINUITY IN CARTESIAN AND LAGRANGIAN EQUATION OF CONTINUITY

Video
1:19:19

Lecture 8

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2:4:38

LECTURE 9

Video
1:37:8

REYNOLDS THEOREM

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PRACTICE SET

set 1

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set 2

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SET 3

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PRACTICE SET 4

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25 DAYS CHALLENGE

DAY -1

Assignment

DAY -1

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DAY -2

Assignment

DAY -2

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DAY-3

Assignment

DAY-3

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DAY-4

Assignment

DAY-4

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DAY -5

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DAY -5

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DAY -6

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DAY -6

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DAY -7

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DAY -7

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DAY -8

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DAY -8

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DAY 9

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DAY 9

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DAY -13

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DAY -13

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DAY -15

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DAY -15

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DAY -17

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DAY -17

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DAY -20

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DAY -20

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FULL MARKS EXAM

FULL MARKS EXAM

Assignment

FULL MARKS EXAM

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ADVANCED MECHANICS

13 Exercises81 Learning Materials

MECHANICS OF A PARTICLE AND SYSTEM OF PARTICLES

LECTURE -1 | BRIEF INTRODUCTION | DEGREE OF FREEDOM

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LECTURE -2

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lecture 3

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lecture-4

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pdf-1 | advanced mechanics

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LECTURE 5

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LECTURE-6

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LECTURE 7

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LECTURE 8 MCQ

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PDF 2

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PDF 3

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LAGRANGIAN HAMILTONIAN

LECTURE 1

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LECTURE 2

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LECTURE- 3 | Lagrange equation of motion for non conservative and non potential force | reileigh

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LECTURE 5 RECORDED

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LECTURE 4 RECORDED

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LECTURE 6

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LECTURE 7

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PDF 2

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PDF 3

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PDF 4

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LECTURE 8

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2:13:8

pdf 1

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LECTURE 9

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1:59:25

PDF 5

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LECTURE 10

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1:53:41

LECTURE 11

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54:26

LECTURE 12

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1:14:54

LECTURE 13

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2:25:50

PDF 6

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PDF 7

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LECTURE 14

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1:5:35

LECTURE 15

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1:02

PDF 8

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pdf 9

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PDF 10

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LECTURE 16

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1:4:43

PDF 11 (UNIT 4) NOTE 1

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IMPORTANT QUESTION

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LECTURE 17

Video
1:58:36

LECTURE 18

Video
1:37:37

PDF 12

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PDF 13 (20.05.23)

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LECTURE 19

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1:29:1

LECTURE 20

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1:10:15

PDF 14

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LECTURE 21

Video
1:41:23

last part of lecture 21

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1:16:51

PDF 15 CANONICAL TRANSFORMATION

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LECTURE-22 POISON BRACKET V.V.I

Video
1:31:58

LECTURE-23

Video
45:55

PDF 16

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LECTURE 24

Video
1:43:3

LECTURE-25

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2:24:1

PDF-17 | POINT TRANSFORMATION

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PDF-18

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LECTURE 26

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2:24:1

LECTURE-27 |LIOUVILIS AND LEGENDRE

Video
2:39:32

PRACTICE SET

PRACTICE SET 1

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PRACTICE SET 2

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PRACTICE SET 3

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PRACTICE SET 4

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MCQ

HAMILTONIAN FORMULATION

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LAGRANGIAN FORMULATION

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Advance mechanics/ Paper-DSE-B(2)-3

Advance mechanics/ Paper-DSE-B-2

25 DAYS CHALLENGE

DAY -1

Assignment

DAY -1

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DAY -2

Assignment

DAY -2

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DAY-3

Assignment

DAY-3

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DAY-4

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DAY-4

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DAY -5

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DAY -5

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DAY -6

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DAY -6

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DAY -7

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DAY -7

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DAY -8

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DAY -8

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DAY 9

Assignment

DAY 9

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DAY 10

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DAY 10

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DAY 11

Assignment

DAY 11

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DAY -14

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DAY -14

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IMPORTANT QUESTIONS

SET 1

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SET 2

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PRINCIPLE OF LEAST ACTION

LAST PART OF LECTURE -1

Video
29:11

lecture -1

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1:32:8

FULL MARKS EXAM

FULL MARKS EXAM

Assignment

FULL MARKS EXAM

PDF

Course Instructor

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AYAN CHAKRABORTY

a year ago