Transforms and Partial Differential Equations (MA3351) - Anna University
Course Instructor
Promath
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Course Overview
Schedule of Classes
Course Curriculum
6 Subjects
Unit - I : Partial Differential Equations
23 Exercises • 136 Learning Materials
1.1 Formation of PDE by elimination the Arbitrary Constant
1.1.1 Introduction
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1.1.2 Formation of PDE by elimination of arbitrary constant
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1.1.3 Application of PDEs by Eliminating Arbitrary Constants
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1.1.4 Solved Problem 1
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00:03:02
1.1.5 Solved Problem 2
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00:04:15
1.1.6 Solved Problem 3
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00:04:24
1.1.7 Solved Problem 4
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00:03:38
1.1.8 Solved Problem 5
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00:05:48
1.1.9 Solved Problem 6
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1.1.10 Solved Problem 7
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1.1.11 Solved Problem 8
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1.1.12 Solved Problem 9
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1.1.13 Solved Problem 10
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1.1.14 Solved Problem 11
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1.1.15 Solved Problem 12
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1.1.16 Exercises
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1.2 Formation of PDE by elimination the Arbitrary functions
1.2.1 Introduction
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1.2.2 Application of PDEs by Eliminating Arbitrary Functions
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1.2.3 Solved Problem 1
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00:03:42
1.2.4 Solved Problem 2
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00:04:05
1.2.5 Solved Problem 3
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00:05:31
1.2.6 Solved Problem 4
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00:03:23
1.2.7 Solved Problem 5
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00:07:15
1.2.8 Solved Problem 6
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1.2.9 Solved Problem 7
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1.2.10 Solved Problem 8
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1.2.11 Solved Problem 9
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1.2.12 Solved Problem 10
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1.2.13 Solved Problem 11
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1.2.14 Solved Problem 12
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1.2.15 Exercises
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1.3 Solutions of standard first order PDEs
1.3.1 Introduction
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1.3.2 Complete Solution of First Order Non-Linear PDEs
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1.3.3 Application of first order non-linear PDEs
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1.3.4 Type I f(p, q) = 0
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1.3.5 Solved Problem 1
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00:04:05
1.3.5 Quiz
Exercise
1.3.6 Solved Problem 2
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00:03:47
1.3.6 Quiz
Exercise
1.3.7 Solved Problem 3
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00:04:51
1.3.7 Quiz
Exercise
1.3.8 Solved Problem 4
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1.3.9 Solved Problem 5
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1.3.10 Type II z = px+qy+f(p,q) [Clairaut’s form]
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1.3.11 Solved Problem 6
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00:05:31
1.3.11 Quiz
Exercise
1.3.12 Solved Problem 7
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00:05:32
1.3.12 Quiz
Exercise
1.3.13 Solved Problem 8
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1.3.14 Solved Problem 9
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1.3.15 Solved Problem 10
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1.3.16 Solved Problem 11
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1.3.17 Type III f(z,p,q)=0, f(x,p,q)=0, f(y,p,q)=0
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1.3.18 Solved Problem 12
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00:05:05
3.18 Quiz
Exercise
1.3.19 Solved Problem 13
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00:04:17
3.19 Quiz
Exercise
1.3.20 Solved Problem 14
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1.3.21 Solved Problem 15
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1.3.22 Solved Problem 16
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1.3.23 Solved Problem 17
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1.3.24 Type IV f(x,p) = g(y,q)
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1.3.25 Solved Problem 18
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00:04:36
3.25 Quiz
Exercise
1.3.26 Solved Problem 19
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00:03:50
1.3.27 Solved Problem 20
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1.3.28 Exercises
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1.4 Equations Reducible to standard types
1.4.1 Introduction
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1.4.2 Application of PDEs Reducible to Standard Solution Types-Transforming Complexity
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1.4.3 Solved Problem 1
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00:06:01
1.4.4 Solved Problem 2
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00:05:16
1.4.5 Solved Problem 3
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1.4.6 Solved Problem 4
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1.4.7 Exercises
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1.5 Lagrange's Equation
1.5.1 Lagrange's Equation
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1.5.2 Type I - Problems based on Method of Grouping - Solved Problem 1
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00:05:32
1.5.2 Quiz
Exercise
1.5.3 Solved Problem 2
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00:04:58
1.5.3 Quiz
Exercise
1.5.4 Solved Problem 3
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1.5.5 Solved Problem 4
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1.5.6 Solved Problem 5
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1.5.7 Solved Problem 6
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1.5.8 Solved Problem 7
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1.5.9 Type II - Problems based on Method of Multipliers - Solved Problem 8
Video
00:06:25
1.5.9 Quiz
Exercise
1.5.10 Solved Problem 9
Video
00:06:48
1.5.10 Quiz
Exercise
1.5.11 Solved Problem 10
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1.5.12 Solved Problem 11
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1.5.13 Solved Problem 12
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1.5.14 Solved Problem 13
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1.5.15 Solved Problem 14
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1.5.16 Type III Problem based on Grouping and Multipliers - Solved Problem 15
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1.5.17 Solved Problem 16
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1.5.18 Solved Problem 17
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1.5.19 Solved Problem 18
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1.5.20 Solved Problem 19
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1.5.21 Solved Problem 20
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1.5.22 Solved Problem 21
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1.5.23 Exercises
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1.6 Homogeneous Linear PDEs
1.6.1 Introduction
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1.6.2 Rules for finding the particular integral
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1.6.3 Problems having no particular integral
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1.6.4 Solved Problem 1
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00:02:58
1.6.4 Quiz
Exercise
1.6.5 Solved Problem 2
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00:04:10
1.6.5 Quiz
Exercise
1.6.6 Type I Form of the R.H.S f(D, D') = e^ax + by
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1.6.7 Solved Problem 3
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00:03:52
1.6.7 Quiz
Exercise
1.6.8 Solved Problem 4
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1.6.9 Solved Problem 5
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1.6.10 Solved Problem 6
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1.6.11 Type II Form of the R.H.S f(D, D') = sin (mx + ny) (or) cos (mx + ny)
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1.6.12 Solved Problem 7
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00:04:56
1.6.12 Quiz
Exercise
1.6.13 Solved Problem 8
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1.6.14 Solved Problem 9
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1.6.15 Type III Form of the R.H.S f(D, D') = x^m y^n
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1.6.16 Solved Problem 10
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00:07:06
1.6.16 Quiz
Exercise
1.6.17 Solved Problem 11
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00:06:36
1.6.17 Quiz
Exercise
1.6.18 Type IV Form of the R.H.S f(D, D') = e^ax . V
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1.6.19 Solved Problem 12
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1.6.20 Solved Problem 13
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1.6.21 Type V Form of the R.H.S f(D, D') =sin ax sin by (or) cos ax cos bx
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1.6.22 Solved Problem 14
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00:05:55
1.6.22 Quiz
Exercise
1.6.23 Solved Problem 15
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1.6.24 Type VI Form of the R.H.S f(D, D') =y cos x (or) y sin x
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1.6.25 Solved Problem 16
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1.6.26 Solved Problem 17
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1.6.27 Solved Problem 18
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00:07:21
1.6.27 Quiz
Exercise
1.6.28 Solved Problem 19
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1.6.29 Solved Problem 20
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1.6.30 Solved Problem 21
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1.6.31 Solved Problem 22
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00:06:34
1.6.31 Quiz
Exercise
1.6.32 Solved Problem 23
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1.6.33 Solved Problem 24
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00:07:08
1.6.33 Quiz
Exercise
1.6.34 Solved Problem 25
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1.6.35 Solved Problem 26
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1.6.36 Exercises
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1.7 Non Homogenous Linear Equations With Constant Coefficients
1.7.1 Introduction
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1.7.2 Solved Problem 1
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1.7.3 Solved Problem 2
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1.7.4 Solved Problem 3
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1.7.5 Solved Problem 4
Video
00:07:08
1.7.5 Quiz
Exercise
1.7.6 Solved Problem 5
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1.7.7 Solved Problem 6
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1.7.8 Solved Problem 7
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1.7.9 Solved Problem 8
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1.7.10 Solved Problem 9
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1.7.11 Exercises
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Unit - II : Fourier Series
26 Exercises • 78 Learning Materials
2.1 Fourier series
2.1.1 Introduction
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2.1.2 Periodic Function
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2.1.3 Even and odd functions
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2.1.4 Examples
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2.1.5 Trigonometric Series
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2.1.6 Dirichlet Conditions
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2.1.7 Definition of Fourier Series
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2.1.8 Convergence of Fourier Series at specific point
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2.1.9 Continuity and Discontinuity in open and closed interval
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2.1.10 Solved Problem 1
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00:13:01
2.1.10 Quiz
Exercise
2.1.11 Solved Problem 2
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00:13:49
2.1.11 Quiz
Exercise
2.1.12 Solved Problem 3
Video
00:23:58
2.1.12 Quiz
Exercise
2.1.13 Solved Problem 4
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2.1.14 Solved Problem 5
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2.1.15 Solved Problem 6
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2.1.16 Solved Problem 7
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2.1.17 Exercises
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2.2 Function having points of discontinuity
2.2.1 Fourier Series for discontinuous functions
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2.2.2 Solved Problem 1
Video
00:16:44
2.2.2 Quiz
Exercise
2.2.3 Solved Problem 2
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00:19:37
2.2.3 Quiz
Exercise
2.2.4 Solved Problem 3
Video
00:16:16
2.2.4 Quiz
Exercise
2.2.5 Solved Problem 4
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2.2.6 Solved Problem 5
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2.2.7 Exercises
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2.3 Change of variable
2.3.1 Change of variable
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2.3.2 Solved Problem 1
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00:17:52
2.3.2 Quiz
Exercise
2.3.3 Solved Problem 2
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00:09:24
2.3.3 Quiz
Exercise
2.3.4 Solved Problem 3
Video
00:14:44
2.3.4 Quiz
Exercise
2.3.5 Solved Problem 4
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2.3.6 Solved Problem 5
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2.3.7 Solved Problem 6
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2.3.8 Exercises
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2.4 Even and odd functions
2.4.1 Even and odd functions
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2.4.2 Fourier Series For Even And Odd Function
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2.4.3 Solved Problem 1
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00:14:09
2.4.3 Quiz
Exercise
2.4.4 Solved Problem 2
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00:10:28
2.4.4 Quiz
Exercise
2.4.5 Solved Problem 3
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00:11:25
2.4.5 Quiz
Exercise
2.4.6 Solved Problem 4
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00:13:30
2.4.6 Quiz
Exercise
2.4.7 Solved Problem 5
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2.4.8 Solved Problem 6
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2.4.9 Solved Problem 7
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2.4.10 Exercises
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2.5 Half range fourier series
2.5.1 Introduction to Half–Range Fourier Series
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2.5.2 Solved Problem 1
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00:09:55
2.5.2 Quiz
Exercise
2.5.3 Solved Problem 2
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00:11:42
2.5.3 Quiz
Exercise
2.5.4 Solved Problem 3
Video
00:11:30
2.5.4 Quiz
Exercise
2.5.5 Solved Problem 4
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00:10:49
2.5.5 Quiz
Exercise
2.5.6 Solved Problem 5
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2.5.7 Solved Problem 6
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2.5.8 Solved Problem 7
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2.5.9 Solved Problem 8
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2.5.10 Solved Problem 9
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2.5.11 Solved Problem 10
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2.5.12 Exercises
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2.6 Complex form
2.6.1 Complex form of Fourier series
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2.6.2 Solved Problem 1
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00:06:16
2.6.2 Quiz
Exercise
2.6.3 Solved Problem 2
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00:07:06
2.6.3 Quiz
Exercise
2.6.4 Solved Problem 3
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00:04:57
2.6.4 Quiz
Exercise
2.6.5 Solved Problem 4
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2.6.6 Exercises
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2.7 Parseval’s Theorem
2.7.1 Parseval’s Theorem
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2.7.2 Solved Problem 1
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00:12:12
2.7.2 Quiz
Exercise
2.7.3 Solved Problem 2
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00:07:12
2.7.3 Quiz
Exercise
2.7.4 Solved Problem 3
Video
00:12:49
2.7.4 Quiz
Exercise
2.7.5 Solved Problem 4
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2.7.6 Solved Problem 5
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2.7.7 Solved Problem 6
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2.7.8 Solved Problem 7
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2.7.9 Solved Problem 8
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2.7.10 Exercises
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2.8 Harmonic analysis
2.8.1 Harmonic analysis
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2.8.2 Solved Problem 1
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00:10:13
2.8.2 Quiz
Exercise
2.8.3 Solved Problem 2
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00:08:14
2.8.3 Quiz
Exercise
2.8.4 Solved Problem 3
Video
00:09:19
2.8.4 Quiz
Exercise
2.8.5 Solved Problem 4
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2.8.6 Solved Problem 5
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2.8.7 Solved Problem 6
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2.8.8 Exercises
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Unit - III : Applications of Partial Differential Equations
15 Exercises • 69 Learning Materials
3.1 Classification of second order PDE
3.1.1 Introduction
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3.1.2 Solved Problem 1
Video
00:05:20
3.1.2 Quiz
Exercise
3.1.3 Solved Problem 2
Video
00:03:08
3.1.3 Quiz
Exercise
3.1.4 Solved Problem 3
Video
00:03:03
3.1.4 Quiz
Exercise
3.1.5 Solved Problem 4
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3.1.6 Solved Problem 5
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3.1.7 Solved Problem 6
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3.1.8 Solved Problem 7
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3.1.9 Solved Problem 8
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3.1.10 Solved Problem 9
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3.1.11 Solved Problem 10
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3.1.12 Exercises
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3.2 Method of separation of variables
3.2.1 Introduction
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3.2.2 Solved Problem 1
Video
00:09:32
3.2.2 Quiz
Exercise
3.2.3 Solved Problem 2
Video
00:05:19
3.2.3 Quiz
Exercise
3.2.4 Solved Problem 3
Video
00:07:49
3.2.4 Quiz
Exercise
3.2.5 Solved Problem 4
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3.2.6 Solved Problem 5
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3.2.7 Solved Problem 6
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3.2.8 Solved Problem 7
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3.2.9 Solved Problem 8
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3.2.10 Exercises
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3.3 Solution of one dimensional Wave equation
3.3.1 Introduction
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3.3.2 Transverse vibrations of a stretched string - one dimesional wave equation
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3.3.3 Transmission line equations
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3.3.4 Variable separable solutions of the wave
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3.3.5 Choice of proper solution
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3.3.6 Solution of a damped vibrating string equation
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3.3.7 Problems on vibrating string with non-zero initial velocity
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3.3.8 Solved Problem 1
Video
00:09:22
3.3.8 Quiz
Exercise
3.3.9 Solved Problem 2
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00:13:00
3.3.9 Quiz
Exercise
3.3.10 Solved Problem 3
Video
00:10:32
3.3.10 Quiz
Exercise
3.3.11 Solved Problem 4
Video
00:12:50
3.3.11 Quiz
Exercise
3.3.12 Solved Problem 5
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00:12:11
3.3.12 Quiz
Exercise
3.3.13 Solved Problem 6
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3.3.14 Solved Problem 7
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3.3.15 Solved Problem 8
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3.3.16 Solved Problem 9
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3.3.17 Solved Problem 10
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3.3.18 Solved Problem 11
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3.3.19 Solved Problem 12
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3.3.20 Exercises
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3.4 Solution of one dimensional Heat equation
3.4.1 Introduction
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3.4.2 Equation of variable heat flow in one dimension
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3.4.3 Variable separable solutions of the heat equation
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3.4.4 Choice of proper solution
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3.4.5 One dimensional heat equation
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3.4.6 Solved Problem 1
Video
00:09:01
3.4.6 Quiz
Exercise
3.4.7 Solved Problem 2
Video
00:09:20
3.4.7 Quiz
Exercise
3.4.8 Solved Problem 3
Video
00:08:05
3.4.8 Quiz
Exercise
3.4.9 Solved Problem 4
Video
00:07:05
3.4.9 Quiz
Exercise
3.4.10 Solved Problem 5
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3.4.11 Solved Problem 6
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3.4.12 Solved Problem 7
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3.4.13 Solved Problem 8
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3.4.14 Exercises
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3.5 Two dimensional Heat equation
3.5.1 Steady state heat flow two dimenstions[cartesian coordinates]
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3.5.2 Equation of variable heat flow in two dimensions in cartesian coordinates
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3.5.3 Variable separable solutions of laplace equation
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3.5.4 Choice of proper solution
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3.5.5 Two dimensional heat equation
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3.5.6 Solved Problem 1
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3.5.7 Solved Problem 2
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3.5.8 Solved Problem 3
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3.5.9 Solved Problem 4
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3.5.10 Solved Problem 5
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3.5.11 Solved Problem 6
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3.5.12 Solved Problem 7
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3.5.13 Exercises
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Unit- IV : Fourier Transforms
20 Exercises • 57 Learning Materials
4.1 Fourier Integral Theorem
4.1.1 Fourier integral theorem
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4.1.2 Complex form of the Fourier integrals
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4.1.3 Fourier sine and cosine Integrals
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4.1.4 Solved Problem 1
Video
00:07:20
4.1.4 Quiz
Exercise
4.1.5 Solved Problem 2
Video
00:05:02
4.1.5 Quiz
Exercise
4.1.6 Solved Problem 3
Video
00:09:50
4.1.6 Quiz
Exercise
4.1.7 Solved Problem 4
Video
00:04:20
4.1.7 Quiz
Exercise
4.1.8 Solved Problem 5
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4.1.9 Solved Problem 6
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4.1.10 Exercises
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4.2 Fourier Transform
4.2.1 Introduction
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4.2.2 Solved Problem 1
Video
00:04:03
4.2.2 Quiz
Exercise
4.2.3 Solved Problem 2
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00:13:26
4.2.3 Quiz
Exercise
4.2.4 Solved Problem 3
Video
00:11:44
4.2.4 Quiz
Exercise
4.2.5 Solved Problem 4
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4.2.6 Solved Problem 5
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4.2.7 Solved Problem 6
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4.2.8 Solved Problem 7
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4.2.9 Solved Problem 8
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4.2.10 Solved Problem 9
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4.2.11 Exercises
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4.3 Fourier sine Transform
4.3.1 Introduction
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4.3.2 Solved Problem 1
Video
00:04:01
4.3.2 Quiz
Exercise
4.3.3 Solved Problem 2
Video
00:05:51
4.3.3 Quiz
Exercise
4.3.4 Solved Problem 3
Video
00:06:26
4.3.4 Quiz
Exercise
4.3.5 Solved Problem 4
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4.3.6 Solved Problem 5
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4.3.7 Solved Problem 6
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4.3.8 Solved Problem 7
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4.3.9 Exercises
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4.4 Fourier cosine Transform
4.4.1 Introduction
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4.4.2 Solved Problem 1
Video
00:08:19
4.4.2 Quiz
Exercise
4.4.3 Solved Problem 2
Video
00:05:53
4.4.3 Quiz
Exercise
4.4.4 Solved Problem 3
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4.4.5 Solved Problem 4
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4.4.6 Solved Problem 5
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4.4.7 Exercises
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4.5 Properties of Fourier Transform
4.5.1 Introduction
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4.5.2 Modulation Theorem and Some Other Properties
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4.5.3 Properties of Fourier sine and cosine Transform
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4.5.4 Solved Problem 1
Video
00:04:34
4.5.4 Quiz
Exercise
4.5.5 Solved Problem 2
Video
00:04:55
4.5.5 Quiz
Exercise
4.5.6 Solved Problem 3
Video
00:07:10
4.5.6 Quiz
Exercise
4.5.7 Solved Problem 4
Video
00:15:11
4.5.7 Quiz
Exercise
4.5.8 Solved Problem 5
Video
00:08:59
4.5.8 Quiz
Exercise
4.5.9 Solved Problem 6
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4.5.10 Exercises
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4.6 Convolution Theorem and Parseval’s Identity
4.6.1 Introduction
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4.6.2 Parseval’s Identity
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4.6.3 Solved Problem 1
Video
00:06:38
4.6.3 Quiz
Exercise
4.6.4 Solved Problem 2
Video
00:15:40
4.6.4 Quiz
Exercise
4.6.5 Solved Problem 3
Video
00:12:34
4.6.5 Quiz
Exercise
4.6.6 Solved Problem 4
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4.6.7 Solved Problem 5
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4.6.8 Solved Problem 6
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4.6.9 Solved Problem 7
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4.6.10 Exercises
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Unit - V : Z - Transforms and Difference Equations
38 Exercises • 130 Learning Materials
5.1 Z-Transform
5.1.1 Introduction
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5.1.2 Definition of Z-Transform
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5.1.3 Solved Problem 1
Video
00:03:34
5.1.3 Quiz
Exercise
5.1.4 Solved Problem 2
Video
00:03:55
5.1.4 Quiz
Exercise
5.1.5 Solved Problem 3
Video
00:04:33
5.1.5 Quiz
Exercise
5.1.6 Solved Problem 4
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5.1.7 Solved Problem 5
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5.1.8 Solved Problem 6
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5.1.9 Solved Problem 7
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5.1.10 Solved Problem 8
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5.1.11 Solved Problem 9
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5.1.12 Problems based on bilateral Z-transform
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5.1.13 Solved Problem 11
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5.1.14 Solved Problem 12
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5.1.15 Solved Problem 13
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5.1.16 Solved Problem 14
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5.1.17 Exercises
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5.2 Linear Property
5.2.1 Linear Property
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5.2.2 Example
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5.2.3 Solved Problem 1
Video
00:06:08
5.2.3 Quiz
Exercise
5.2.4 Solved Problem 2
Video
00:06:53
5.2.4 Quiz
Exercise
5.2.5 Solved Problem 3
Video
00:03:18
5.2.5 Quiz
Exercise
5.2.6 Solved Problem 4
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5.2.7 Solved Problem 5
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5.2.8 Solved Problem 6
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5.2.9 Solved Problem 7
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5.2.10 Solved Problem 8
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5.2.11 Solved Problem 9
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5.2.12 Solved Problem 10
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5.2.13 Solved Problem 11
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5.2.14 Exercises
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5.3 Shifting and Damping rule
5.3.1 Shifting and Damping rule
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5.3.2 Solved Problem 1
Video
00:02:27
5.3.2 Quiz
Exercise
5.3.3 Solved Problem 2
Video
00:02:43
5.3.3 Quiz
Exercise
5.3.4 Solved Problem 3
Video
00:03:13
5.3.4 Quiz
Exercise
5.3.5 Solved Problem 4
Video
00:02:51
5.3.5 Quiz
Exercise
5.3.6 Solved Problem 5
Video
00:02:35
5.3.6 Quiz
Exercise
5.3.7 Solved Problem 6
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5.3.8 Solved Problem 7
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5.3.9 Solved Problem 8
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5.3.10 Solved Problem 9
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5.3.11 Solved Problem 10
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5.3.12 Solved Problem 11
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5.3.13 Exercises
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5.4 Differentiation in the Z domain
5.4.1 Differentiation in the z-domain
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5.4.2 Solved Problem 1
Video
00:05:11
5.4.2 Quiz
Exercise
5.4.3 Solved Problem 2
Video
00:05:25
5.4.3 Quiz
Exercise
5.4.4 Solved Problem 3
Video
00:04:14
5.4.4 Quiz
Exercise
5.4.5 Solved Problem 4
Video
00:04:28
5.4.5 Quiz
Exercise
5.4.6 Solved Problem 5
PDF
5.4.7 Solved Problem 6
PDF
5.4.8 Solved Problem 7
PDF
5.4.9 Solved Problem 8
PDF
5.4.10 Solved Problem 9
PDF
5.4.11 Exercises
PDF
5.5 Second Shifting Theorem
5.5.1 Second shifting theorem
PDF
5.5.2 Solved Problem 1
Video
00:04:27
5.5.2 Quiz
Exercise
5.5.3 Solved Problem 2
Video
00:03:44
5.5.3 Quiz
Exercise
5.5.4 Solved Problem 3
Video
00:03:38
5.5.4 Quiz
Exercise
5.5.5 Solved Problem 4
PDF
5.5.6 Solved Problem 5
PDF
5.5.7 Exercises
PDF
5.6 Unit sample sequences and Unit step sequences
5.6.1 Unit sample sequence and unit step sequence
PDF
5.6.2 Solved Problem 1
Video
00:02:28
5.6.2 Quiz
Exercise
5.6.3 Solved Problem 2
Video
00:04:12
5.6.3 Quiz
Exercise
5.6.4 Solved Problem 3
Video
00:07:38
5.6.4 Quiz
Exercise
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
5.7 Initial value and Final Theorems
5.7.1 Initial and final value theorems
PDF
5.7.2 Solved Problem 1
Video
00:11:42
5.7.2 Quiz
Exercise
5.7.3 Solved Problem 2
Video
00:09:46
5.7.3 Quiz
Exercise
5.7.4 Solved Problem 3
Video
00:08:37
5.7.4 Quiz
Exercise
5.7.5 Solved Problem 4
PDF
5.7.6 Solved Problem 5
PDF
5.7.7 Solved Problem 6
PDF
5.7.8 Differentiation
PDF
5.7.9 Solved Problem 7
PDF
5.7.10 Solved Problem 8
PDF
5.7.11 Exercises
PDF
5.8 Partial fraction method
5.8.1 Partial Fractions Method
PDF
5.8.2 Solved Problem 1
Video
00:05:54
5.8.2 Quiz
Exercise
5.8.3 Solved Problem 2
Video
00:11:51
5.8.3 Quiz
Exercise
5.8.4 Solved Problem 3
Video
00:06:51
5.8.4 Quiz
Exercise
5.8.5 Solved Problem 4
PDF
5.8.6 Solved Problem 5
PDF
5.8.7 Solved Problem 6
PDF
5.8.8 Solved Problem 7
PDF
5.8.9 Exercises
PDF
5.9 Convolution Theorem
5.9.1 Convolution Theorem
PDF
5.9.2 Z-transform of f(x) g(x)type
PDF
5.9.3 Solved Problem 1
Video
00:06:40
5.9.3 Quiz
Exercise
5.9.4 Solved Problem 2
Video
00:07:34
5.9.4 Quiz
Exercise
5.9.5 Solved Problem 3
Video
00:06:39
5.9.5 Quiz
Exercise
5.9.6 Solved Problem 4
Video
00:05:28
5.9.6 Quiz
Exercise
5.9.7 Solved Problem 5
PDF
5.9.8 Solved Problem 6
PDF
5.9.9 Solved Problem 7
PDF
5.9.10 Solved Problem 8
PDF
5.9.11 Solved Problem 9
PDF
5.9.12 Solved Problem 10
PDF
5.9.13 Exercises
PDF
5.10 Formation of Difference equation
5.10.1 Formation of difference equations
PDF
5.10.2 Solved Problem 1
Video
00:05:44
5.10.2 Quiz
Exercise
5.10.3 Solved Problem 2
Video
00:06:09
5.10.3 Quiz
Exercise
5.10.4 Solved Problem 3
Video
00:04:09
5.10.4 Quiz
Exercise
5.10.5 Solved Problem 4
PDF
5.10.6 Solved Problem 5
PDF
5.10.7 Solved Problem 6
PDF
5.10.8 Exercises
PDF
5.11 Solution of Difference equation using z-transform
5.11.1 Solution of difference equations using z-transform
PDF
5.11.2 Solved Problem 1
Video
00:11:26
5.11.2 Quiz
Exercise
5.11.3 Solved Problem 2
Video
00:10:02
5.11.3 Quiz
Exercise
5.11.4 Solved Problem 3
Video
00:10:11
5.11.4 Quiz
Exercise
5.11.5 Solved Problem 4
Video
00:16:25
5.11.5 Quiz
Exercise
5.11.6 Solved Problem 5
PDF
5.11.7 Solved Problem 6
PDF
5.11.8 Solved Problem 7
PDF
5.11.9 Solved Problem 8
PDF
5.11.10 Solved Problem 9
PDF
5.11.11 Solved Problem 10
PDF
5.11.12 Solved Problem 11
PDF
5.11.13 Solved Problem 12
PDF
5.11.14 Solved Problem 13
PDF
5.11.15 Solved Problem 14
PDF
5.11.16 Solved Problem 15
PDF
5.11.17 Solved Problem 16
PDF
5.11.18 Solved Problem 17
PDF
5.11.19 Exercises
PDF
Important Q&A
74 Learning Materials
1. Partial Differential Equations
1.1 Part A: Q&A
PDF
1.2 Part B: Q&A - 1
PDF
1.3 Part B: Q&A - 2
PDF
1.4 Part B: Q&A - 3
PDF
1.5 Part B: Q&A - 4
PDF
1.6 Part B: Q&A - 5
PDF
1.7 Part B: Q&A - 6
PDF
1.8 Part B: Q&A - 7
PDF
1.9 Part B: Q&A - 8
PDF
1.10 Part B: Q&A - 9
PDF
1.11 Part B: Q&A - 10
PDF
1.12 Part B: Q&A - 11
PDF
1.13 Part B: Q&A - 12
PDF
1.14 Part B: Q&A - 13
PDF
2. Fourier Series
2.1 Part A: Q&A
PDF
2.2 Part B: Q&A - 1
PDF
2.3 Part B: Q&A - 2
PDF
2.4 Part B: Q&A - 3
PDF
2.5 Part B: Q&A - 4
PDF
2.6 Part B: Q&A - 5
PDF
2.7 Part B: Q&A - 6
PDF
2.8 Part B: Q&A - 7
PDF
2.9 Part B: Q&A - 8
PDF
2.10 Part B: Q&A - 9
PDF
2.11 Part B: Q&A - 10
PDF
2.12 Part B: Q&A - 11
PDF
2.13 Part B: Q&A - 12
PDF
2.14 Part B: Q&A - 13
PDF
2.15 Part B: Q&A - 14
PDF
2.16 Part B: Q&A - 15
PDF
2.17 Part B: Q&A - 16
PDF
2.18 Part B: Q&A - 17
PDF
2.19 Part B: Q&A - 18
PDF
3. Applications of Partial Differential Equations
3.1 Part A: Q&A
PDF
3.2 Part B: Q&A - 1
PDF
3.3 Part B: Q&A - 2
PDF
3.4 Part B: Q&A - 3
PDF
3.5 Part B: Q&A - 4
PDF
3.6 Part B: Q&A - 5
PDF
3.7 Part B: Q&A - 6
PDF
3.8 Part B: Q&A - 7
PDF
3.9 Part B: Q&A - 8
PDF
4. Fourier Transforms
4.1 Part A: Q&A
PDF
4.2 Part B: Q&A - 1
PDF
4.3 Part B: Q&A - 2
PDF
4.4 Part B: Q&A - 3
PDF
4.5 Part B: Q&A - 4
PDF
4.6 Part B: Q&A - 5
PDF
4.7 Part B: Q&A - 6
PDF
4.8 Part B: Q&A - 7
PDF
4.9 Part B: Q&A - 8
PDF
4.10 Part B: Q&A - 9
PDF
4.11 Part B: Q&A - 10
PDF
4.12 Part B: Q&A - 11
PDF
4.13 Part B: Q&A - 12
PDF
4.14 Part B: Q&A - 13
PDF
4.15 Part B: Q&A - 14
PDF
4.16 Part B: Q&A - 15
PDF
4.17 Part B: Q&A - 16
PDF
4.18 Part B: Q&A - 17
PDF
4.19 Part B: Q&A - 18
PDF
4.20 Part B: Q&A - 19
PDF
5. Z - Transforms and Difference Equations
5.1 Part A: (Q&A)
PDF
5.2 Part B: Q&A - 1
PDF
5.3 Part B: Q&A - 2
PDF
5.4 Part B: Q&A - 3
PDF
5.5 Part B: Q&A - 4
PDF
5.6 Part B: Q&A - 5
PDF
5.7 Part B: Q&A - 6
PDF
5.8 Part B: Q&A - 7
PDF
5.9 Part B: Q&A - 8
PDF
5.10 Part B: Q&A - 9
PDF
5.11 Part B: Q&A - 10
PDF
5.12 Part B: Q&A - 11
PDF
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