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23MAT103 – DIFFERENTIAL EQUATIONS AND TRANSFORMS
Syllabus
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Syllabus
Lesson Plan
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Lesson Plan
Lecture Notes
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Unit I-Vector Calculus
Unit I-Greens Theorem
Gauss Divergence Theorem
Stoke’s Theorem
Applications
Directional Derivative
Unit II-Ordinary Differential Equation -solving first order differential Equation
Homogeneous Linear Differential Equations of Euler
Higher order DE With Constant Constant Coefficient
Legendres Linear Differential Equation
Method of variation of parameter
Unit III-Partial Differential Equations
Linear Partial Differential Equations
Lagranges Linear Differential Equation
First order Linear Differential Equation
Unit IV-Fourier Series & Fourier Transforms
Dirichlets Condition
General Fourier series
Odd-Even Functions
Fourier Transform Pair,Fourier Sine,Cosine Transform
Parsevals Identity
Unit V- Laplace Transforms
Definition,Properties,Existence Conditions
Transforms Of Elementry Functions
Shifting Theorem
Transforms of Derivatives and Integrals ,Periodic Functions
Initial And Final Value Theorem
Inverse Transforms,Application of Solution of Linear second order ordinary differential equations with constant co efficients
Puzzles
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Unit I
Unit II
Unit III
Unit IV
Unit V
Assignments
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Assignment 1
Assignment 2
Question Bank
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IAE I
IAE II
IAE III
23MAT103-Differential Equations and Transforms (AIML A)
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