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 Exercises • 133 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
PDF
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
PDF
MCQ QUESTIONS OF INTERPOLATION
PDF
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
PDF
LECTURE -3 |DIVIDED DIFFERENCE
Video
01:38:03
LECTURE 4 | INTEGRATION
Video
01:47:04
LECTURE-5 | EULER PRACTICLE DIFFERENTIAL EQUATION
Video
00:53:26
LECTURE 6 | numerical practicle | bisection and weddles
Video
02:12:44
LECTURE 7 | REGULA FALSI
Video
00:55:54
LECTURE-8 | NEWTON RAPHSON PRACTICLE
Video
01:50:42
PRACTICLE CODE
PDF
RK 4 METHOD
Video
01:18:18
PICARD
Video
01:53:27
VIVA QUESTION
Video
01:45:01
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
Video
01:03:06
PRACTICE SET
PRACTICE SET 1 INTERPOLATION
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PRACTICE SET 2
PDF
PRACTICE SET 3
PDF
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
PDF
PRACTICE SET 7
PDF
PRACTICE SET 8
PDF
PRACTICE SET-9 very important
PDF
PRACTICE SET 10 VERY IMPORTANT
PDF
PRACTICE SET 11 VERY IMPORNANT
PDF
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
Video
01:31:45
LECTURE-6 | COMPOSITE SIMPSON 1/3 RULE | MATHS (RECORDED)
Video
01:14:29
lecture-7 | simpson 3/8 rule
Video
01:40:28
LECTURE 8 | WEDDLE'S RULE AND BOOLE'S RULE
Video
01:30:40
lecture- 9 | composite weddle's rule, maths, error
Video
01:27:44
lecture-10 | newton cotes closed type formula
Video
01:21:36
LECTURE-11 | OBTAIN VARIOUS FRORMULA FROM NEWTON COTES
Video
01:48:32
LECTURE-12 | TEN YEARS MATHS OF NUMERICAL INTEGRATION
Video
01:41:59
10 YEARS QUESTION
PDF
INTEGRATION IMPORTANT NOTES
PDF
LECTURE-13 |GAUSS QUADRATURE
Video
00:11:34
Differential equation
lecture-1
Video
00:55:20
lecture-2| euler method maths
Video
01:07:52
LECTURE 3
Video
01:30:40
LECTURE 4
Video
01:03:58
10 YEARS QUESTION
PDF
LECTURE-5 | RK4 MATH
Video
00:27:13
LECTURE 6
Video
01:03:06
10 YEARS QUESTION
10 YEARS QUESTION
PDF
important question solution
PDF
MCQ PREVIOUS YEAR SOLUTION
PDF
ROOT OF ALGEBRI AND TRANSCENDENTAL EQUATION
LECTURE 1
Video
02:07:58
LECTURE 2
Video
01:44:57
LECTURE 3
Video
01:27:51
LECTURE 4
Video
01:50:39
LECTURE 5 (Newton raphson method)
Video
01:49:36
LECTURE 6
Video
02:34:16
LECTURE 7
Video
01:48:49
LECTURE 8 | regula falsi math | important maths of ten years
Video
01:37:36
lecture 9
Video
00:40:45
LECTURE10| NEWTONS METHOD
Video
01:30:53
LECTURE 11
Video
02:07:54
POWER METHOD OF FINDING EIGEN VALUE AND VECTOR
POWER METHOD
Video
01:32:53
EXAM
EXAM
PDF
EXAM
PDF
NUMERICAL
PDF
MODELLING
PDF
NUMERICAL EXAM FULL 1
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NUMERICAL FULL EXAM 2
PDF
NUMERICAL ULL EXAM 3
PDF
SYSTEM OF LINEAR EQUATION
LECTURE 1
Video
01:05:15
LECTURE 2
Video
02:06:58
LECTURE 3
Video
02:01:22
LECTURE 4
Video
01:10:10
LECTURE 6
Video
01:35:59
LECTURE 5
Video
01:21:12
lecture 7
Video
00:52:36
LECTURE 8
Video
01:47:43
LECTURE 9
Video
01:25:40
theorem
25 DAYS CHALLENGE
DAY -1
Assignment
DAY -1
PDF
DAY -2
Assignment
DAY -2
PDF
DAY -3
Assignment
DAY-3
PDF
DAY-4
Assignment
DAY -4
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DAY -5
Assignment
DAY -5
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DAY-6
Assignment
DAY -6
PDF
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
Assignment
DAY 11
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DAY 12
Assignment
DAY 12
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DAY -13
Assignment
DAY -13
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DAY -14
Assignment
DAY - 14
PDF
DAY 16
PDF
DAY 16
Assignment
DAY -18
Assignment
DAY -18
PDF
FULL MARKS EXAM 2024
FULL MARKS EXAM
PDF
FULL MARKS EXAM
Assignment
Mathematical modeling
15 Exercises • 76 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
PDF
TEN YEARS AND MCQ OF LAPLACE
PDF
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
PDF
LECTURE 9 INVERSE LAPLACE
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LECTURE 10 INVERSE LAPLACE
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INVERSE LAPLACE
PDF
LAPLACE EXAMPLES
PDF
DIFFERENTIAL EQUATIONS
PDF
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
PDF
LECTURE 3
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LECTURE 4 |
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BESSEL
PDF
PRACTICE SET
PRACTICE SET 1
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PRACTICE SET 2
PDF
QUESTION BANK
PDF
PRACTICE SET 3
PDF
PRACTICE SET 4
PDF
PRACTICE SET 5
PDF
LEGENDRE EQUATION
10 YEARS QUESTION
PDF
LECTURE 1
Video
01:09:51
NOTES
PDF
LECTURE-2 | LEGENDRE FUNCTION OF FIRST KIND
Video
01:11:07
LECTURE 3
Video
01:28:19
LECTURE 4
Video
01:32:57
GENERATING RANDOM NUMBERS AND MONTE CARLO SIMULATION
PDF-1 | GENERATING RANDOM NUMBER THEORY AND MATH , MCQ
PDF
LECTURE-1 | MIDDLE SQUARE METHOD
Video
01:33:31
LECTURE 2
Video
01:08:29
LECTURE -3 | LINEAR CONGRUENCE MATHOD AND MONTE CARLO
Video
01:24:39
LECTURE 4
Video
01:14:03
MODELLING (IMPORTANT NOTE)
PDF
LECTURE 5
Video
01:40:19
LECTURE 6 MONTE CARLO
Video
00:50:02
Monte carlo important
PDF
QUEING THEORY
LECTURE 1
Video
01:25:32
LECTURE 2
Video
01:45:52
LECTURE 3
Video
01:57:09
QUEING THEORY
PDF
QUEING THEORY ALL NOTES
PDF
QUEING THEORY NOTES 2
PDF
harbour and formulation of lpp
PDF
LECTURE 4 harbour and formulation of lpp
Video
02:26:15
Mathematical Modelling 2021-MCQ TEST
GRAPHICAL AND ALGEBRIC SOLUTION OF AN LPP
PDF-1
PDF
LECTURE 1
Video
01:32:40
LECTURE 2
Video
01:09:19
MODELLING-2022
SENSITIVITY ANALYSIS
LECTURE-1
Video
01:34:24
LECTURE-2 |V.V.I
Video
01:50:04
lecture-3 | v.v.i
Video
02:28:32
FULL EXAM
EXAM 1
PDF
FULL EXAM 2
PDF
FULL MARKS EXAM (23/06/2024)
Assignment
FULL MARKS EXAM (23/06/2024)
PDF
25 DAYS CHALLENGE
DAY -1
Assignment
DAY -1
PDF
DAY -2
Assignment
DAY -2
PDF
DAY-3
Assignment
DAY-3
PDF
DAY -4
Assignment
DAY-4
PDF
DAY -5
Assignment
DAY -5
PDF
DAY -6
Assignment
day -6
PDF
DAY -7
Assignment
DAY -7
PDF
DAY 9
Assignment
DAY 9
PDF
DAY 10
Assignment
DAY 10
PDF
DAY 11
Assignment
DAY 11
PDF
DAY12
Assignment
DAY 12
PDF
DAY -15
Assignment
DAY -15
PDF
DAY 16
Assignment
DAY 16
PDF
DAY -22
Assignment
DAY -22
PDF
FLUID MECHANICS
14 Exercises • 63 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
PDF
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
PDF
LECTURE 3
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LECTURE 4
Video
01:03:15
LECTURE 5
Video
01:13:13
LECTURE 6
Video
01:26:01
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
PDF
LECTURE 8
Video
01:43:45
CENTRE OF PRESSURE
LECTURE-1
Video
01:48:53
NOTES 1
PDF
LECTURE-2
Video
00:59:40
Fluid Kinematics
LECTURE 1 eularian lagrangian
Video
02:15:06
NOTES
PDF
LECTURE-2
Video
01:12:24
LECTURE-3
Video
01:31:11
LECTURE-4
Video
00:59:05
lecture-5
Video
02:25:38
VVI NOTES
PDF
LECTURE 6
Video
01:24:31
LECTURE-7 | EQUATION OF CONTINUITY IN CARTESIAN AND LAGRANGIAN EQUATION OF CONTINUITY
Video
01:19:19
Lecture 8
Video
02:04:38
LECTURE 9
Video
01:37:08
REYNOLDS THEOREM
PDF
PRACTICE SET
set 1
PDF
set 2
PDF
SET 3
PDF
PRACTICE SET 4
PDF
25 DAYS CHALLENGE
DAY -1
Assignment
DAY -1
PDF
DAY -2
Assignment
DAY -2
PDF
DAY-3
Assignment
DAY-3
PDF
DAY-4
Assignment
DAY-4
PDF
DAY -5
Assignment
DAY -5
PDF
DAY -6
Assignment
DAY -6
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DAY -7
Assignment
DAY -7
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DAY -8
Assignment
DAY -8
PDF
DAY 9
Assignment
DAY 9
PDF
DAY -13
Assignment
DAY -13
PDF
DAY -15
Assignment
DAY -15
PDF
DAY -17
Assignment
DAY -17
PDF
DAY -20
Assignment
DAY -20
PDF
FULL MARKS EXAM
FULL MARKS EXAM
Assignment
FULL MARKS EXAM
PDF
ADVANCED MECHANICS
13 Exercises • 81 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
PDF
LECTURE 5
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LECTURE-6
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LECTURE 7
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LECTURE 8 MCQ
External Link
PDF 2
PDF
PDF 3
PDF
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
External Link
PDF 2
PDF
PDF 3
PDF
PDF 4
PDF
LECTURE 8
Video
02:13:08
pdf 1
PDF
LECTURE 9
Video
01:59:25
PDF 5
PDF
LECTURE 10
Video
01:53:41
LECTURE 11
Video
00:54:26
LECTURE 12
Video
01:14:54
LECTURE 13
Video
02:25:50
PDF 6
PDF
PDF 7
PDF
LECTURE 14
Video
01:05:35
LECTURE 15
Video
01:00:02
PDF 8
PDF
pdf 9
PDF
PDF 10
PDF
LECTURE 16
Video
01:04:43
PDF 11 (UNIT 4) NOTE 1
PDF
IMPORTANT QUESTION
PDF
LECTURE 17
Video
01:58:36
LECTURE 18
Video
01:37:37
PDF 12
PDF
PDF 13 (20.05.23)
PDF
LECTURE 19
Video
01:29:01
LECTURE 20
Video
01:10:15
PDF 14
PDF
LECTURE 21
Video
01:41:23
last part of lecture 21
Video
01:16:51
PDF 15 CANONICAL TRANSFORMATION
PDF
LECTURE-22 POISON BRACKET V.V.I
Video
01:31:58
LECTURE-23
Video
00:45:55
PDF 16
PDF
LECTURE 24
Video
01:43:03
LECTURE-25
Video
02:24:01
PDF-17 | POINT TRANSFORMATION
PDF
PDF-18
PDF
LECTURE 26
Video
02:24:01
LECTURE-27 |LIOUVILIS AND LEGENDRE
Video
02:39:32
PRACTICE SET
PRACTICE SET 1
PDF
PRACTICE SET 2
PDF
PRACTICE SET 3
PDF
PRACTICE SET 4
PDF
MCQ
HAMILTONIAN FORMULATION
PDF
LAGRANGIAN FORMULATION
PDF
Advance mechanics/ Paper-DSE-B(2)-3
Advance mechanics/ Paper-DSE-B-2
25 DAYS CHALLENGE
DAY -1
Assignment
DAY -1
PDF
DAY -2
Assignment
DAY -2
PDF
DAY-3
Assignment
DAY-3
PDF
DAY-4
Assignment
DAY-4
PDF
DAY -5
Assignment
DAY -5
PDF
DAY -6
Assignment
DAY -6
PDF
DAY -7
Assignment
DAY -7
PDF
DAY -8
Assignment
DAY -8
PDF
DAY 9
Assignment
DAY 9
PDF
DAY 10
Assignment
DAY 10
PDF
DAY 11
Assignment
DAY 11
PDF
DAY -14
Assignment
DAY -14
PDF
IMPORTANT QUESTIONS
SET 1
PDF
SET 2
PDF
PRINCIPLE OF LEAST ACTION
LAST PART OF LECTURE -1
Video
00:29:11
lecture -1
Video
01:32:08
FULL MARKS EXAM
FULL MARKS EXAM
Assignment
FULL MARKS EXAM
PDF
Course Instructor
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