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Transform Calculus, Fourier series and Numerical techniques - 21MAT31
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L2 - Table of Laplace Transforms
L3 - Pre-requisite - Exponents, cube formula,
L4,L5 - Solved Question paper Question
L6 - Shifting in s-domain
L7 - Solved Question paper Question
L8 - Pre-requisite - differentiation in s, u by v rule
L9 - Transform of t.m4vf(t)
L10 - Solved Question paper Question
Aug/Sep 2020 - Que 1a
Jan/Feb 2021 - Que 1a
Dec 2019/Jan 2020 - Que 1a
L11 - Pre-requisite - integration F(s), solving limits
L12 - Transform of 1 by t .m4v f(t)
L13 - Solved Question paper Question
L14 - Solved Question paper Question
L15 - How to solve unit step functions and SQPs
L16 - Solved Question paper Question
Jan/Feb 2021 - Que 2a
Dec 2019/Jan 2020 - Que 2c
Aug/Sep 2020 - Que 1b
L17 - Basics of integration and formula for periodic function
L18 - Solved Question paper Question
Jan/Feb 2021 - Que 1b
Dec 2019/Jan 2020 - Que 1b
Aug/Sep 2020 - Que 2c
L19 - Elementary function
L20 - Solved Question paper Question
L21 - Pre-requisite -perfect square
L22 - Concepts and table of inverse Laplace transform of trignometry
L23 - Inverse Laplace transform by completing the square
L24 - Pre-requisite -partial fraction
L25 - Inverse Laplace transform by partial fraction
L26 - Inverse Laplace transform by the logarithmic functions
Dec 2019/Jan 2020 - Que 2a
Aug/Sep 2020 - Que 2a
Jan/Feb 2021 - Que 1c
L27 - Algorithm for convolation therom
L28 - Convolution theorem to find the inverse Laplace transforms
Dec 2019/Jan 2020 - Que 2b
Aug/Sep 2020 - Que 2b
Jan/Feb 2021 - Que 2b
L29 - Solution of linear differential equations using Laplace transforms
Dec 2019/Jan 2020 - Que 1c
Jan/Feb 2021 - Que 2c
Aug/Sep 2020 - Que 1c
Jan/Feb 2021 - Que 3c
Jan/Feb 2021 - Que 4a
Jan/Feb 2021 - Que 4b
Dec 2019/Jan 2020 - Que 3a
Dec 2019/Jan 2020 - Que 3b
Dec 2019/Jan 2020 - Que 3c
Dec 2019/Jan 2020 - Que 4b
Dec 2019/Jan 2020 - Que 4c
Aug/Sep 2020 - Que 3a
Aug/Sep 2020 - Que 3b
Aug/Sep 2020 - Que 3c
Aug/Sep 2020 - Que 4a
L1 - What is Fourier Transform
L2 - PR - What is mod x
L3 - PR - Integration - Part 1
L4 - PR - Integration - Part 2 - uv rule
L5 - PR - Evaluating limits of Integration - Part 1
L6 - PR - Evaluating limits of Integration - Part 2 - Example
L7 - Que - 1 FT of 1-x-2
L8 - Que - 1 contd. Integration using IFT
Aug/Sep 2020 - Que 5b
Aug/Sep 2020 - Que 6a
Dec 2019/Jan 2020 - Que 6a
L10 - Que - 1 Intro to FCT and FST & FCT of e-(-2x) + 4e-(-3x)
Dec 2019/Jan 2020 - Que 5b
Jan/Feb 2021 - Que 5b
Jan/Feb 2021 - Que 6a
Aug/Sep 2020 - Que 5a
L12 - Que - 1 FST of e-- mod x
L13 - Que - 2 FST
L14 - What is Z-Transform
L15 - Standard Z-Transforms - Part 1
Aug/Sep 2020 - Que 6b
L16 - Standard Z-Transforms - Part 2 - cos n theta
L17 - Standard Z-Transforms - Part 3 - sin n theta
Jan/Feb 2021 - Que 5c
L19 - Que -2 ZT of 2n + sin bn + 1
Dec 2019/Jan 2020 - Que 6b
L21 - What is Inverse Z-Tranform
L23 - Que -2 IZT
Jan/Feb 2021 - Que 6b
Aug/Sep 2020 - Que 5c
Dec 2019/Jan 2020 - Que 6c
L25 - What are Difference Equations
L26 - Que -1 Difference Eqn
Aug/Sep 2020 - Que 6c
Dec 2019/Jan 2020 - Que 5c
L1 - Runge-Kutta Method of Fourth Order
L2 - Question Paper Solution - RK Method
Jan/Feb 2021 - Que 9a
Aug/Sep 2020 - Que 10a
L3 - Milne-s Predictor & Corrector Method
L4 - Question Paper Solution - Milne-s P&C Method
L5 - Euler-s Theorem
Aug/Sep 2020 - Que 9c
Aug/Sep 2020 - Que 10c
Dec 2019/Jan 2020 - Que 9c
Dec 2019/Jan 2020 - Que 10b
L7 - Geodesics
L8 - Hanging Chain
M01 - Laplace Tranform
L2 - Table of Laplace Transforms
Preview
L3 - Pre-requisite - Exponents, cube formula,
Preview
L4,L5 - Solved Question paper Question
Preview
L6 - Shifting in s-domain
Preview
L7 - Solved Question paper Question
Preview
L8 - Pre-requisite - differentiation in s, u by v rule
Preview
L9 - Transform of t.m4vf(t)
Preview
L10 - Solved Question paper Question
Preview
Aug/Sep 2020 - Que 1a
Preview
Jan/Feb 2021 - Que 1a
Preview
Dec 2019/Jan 2020 - Que 1a
Preview
L11 - Pre-requisite - integration F(s), solving limits
Preview
L12 - Transform of 1 by t .m4v f(t)
Preview
L13 - Solved Question paper Question
Preview
L14 - Solved Question paper Question
Preview
L15 - How to solve unit step functions and SQPs
Preview
L16 - Solved Question paper Question
Preview
Jan/Feb 2021 - Que 2a
Preview
Dec 2019/Jan 2020 - Que 2c
Preview
Aug/Sep 2020 - Que 1b
Preview
L17 - Basics of integration and formula for periodic function
L18 - Solved Question paper Question
Jan/Feb 2021 - Que 1b
Preview
Dec 2019/Jan 2020 - Que 1b
Aug/Sep 2020 - Que 2c
L19 - Elementary function
L20 - Solved Question paper Question
L21 - Pre-requisite -perfect square
L22 - Concepts and table of inverse Laplace transform of trignometry
L23 - Inverse Laplace transform by completing the square
L24 - Pre-requisite -partial fraction
L25 - Inverse Laplace transform by partial fraction
L26 - Inverse Laplace transform by the logarithmic functions
Dec 2019/Jan 2020 - Que 2a
Aug/Sep 2020 - Que 2a
Jan/Feb 2021 - Que 1c
Preview
L27 - Algorithm for convolation therom
L28 - Convolution theorem to find the inverse Laplace transforms
Dec 2019/Jan 2020 - Que 2b
Aug/Sep 2020 - Que 2b
Jan/Feb 2021 - Que 2b
L29 - Solution of linear differential equations using Laplace transforms
Dec 2019/Jan 2020 - Que 1c
Jan/Feb 2021 - Que 2c
Aug/Sep 2020 - Que 1c
M02 - Fourier Series
Jan/Feb 2021 - Que 3c
Jan/Feb 2021 - Que 4a
Jan/Feb 2021 - Que 4b
Dec 2019/Jan 2020 - Que 3a
Dec 2019/Jan 2020 - Que 3b
Dec 2019/Jan 2020 - Que 3c
Dec 2019/Jan 2020 - Que 4b
Dec 2019/Jan 2020 - Que 4c
Aug/Sep 2020 - Que 3a
Aug/Sep 2020 - Que 3b
Aug/Sep 2020 - Que 3c
Aug/Sep 2020 - Que 4a
M03 - Infinite Fourier Transforms and Z-Transforms
L1 - What is Fourier Transform
L2 - PR - What is mod x
L3 - PR - Integration - Part 1
L4 - PR - Integration - Part 2 - uv rule
L5 - PR - Evaluating limits of Integration - Part 1
L6 - PR - Evaluating limits of Integration - Part 2 - Example
L7 - Que - 1 FT of 1-x-2
L8 - Que - 1 contd. Integration using IFT
Aug/Sep 2020 - Que 5b
Aug/Sep 2020 - Que 6a
Dec 2019/Jan 2020 - Que 6a
L10 - Que - 1 Intro to FCT and FST & FCT of e-(-2x) + 4e-(-3x)
Dec 2019/Jan 2020 - Que 5b
Jan/Feb 2021 - Que 5b
Jan/Feb 2021 - Que 6a
Aug/Sep 2020 - Que 5a
L12 - Que - 1 FST of e-- mod x
L13 - Que - 2 FST
L14 - What is Z-Transform
L15 - Standard Z-Transforms - Part 1
Aug/Sep 2020 - Que 6b
L16 - Standard Z-Transforms - Part 2 - cos n theta
L17 - Standard Z-Transforms - Part 3 - sin n theta
Jan/Feb 2021 - Que 5c
L19 - Que -2 ZT of 2n + sin bn + 1
Dec 2019/Jan 2020 - Que 6b
L21 - What is Inverse Z-Tranform
L23 - Que -2 IZT
Jan/Feb 2021 - Que 6b
Aug/Sep 2020 - Que 5c
Dec 2019/Jan 2020 - Que 6c
L25 - What are Difference Equations
L26 - Que -1 Difference Eqn
Aug/Sep 2020 - Que 6c
Dec 2019/Jan 2020 - Que 5c
M05 - Numerical Solution of Second-Order ODEs and Calculus of Variations
L1 - Runge-Kutta Method of Fourth Order
L2 - Question Paper Solution - RK Method
Jan/Feb 2021 - Que 9a
Aug/Sep 2020 - Que 10a
L3 - Milne-s Predictor & Corrector Method
L4 - Question Paper Solution - Milne-s P&C Method
L5 - Euler-s Theorem
Aug/Sep 2020 - Que 9c
Aug/Sep 2020 - Que 10c
Dec 2019/Jan 2020 - Que 9c
Dec 2019/Jan 2020 - Que 10b
L7 - Geodesics
L8 - Hanging Chain
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