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N O T E S

J E N N Y M A

E C E 2 0 5

Advanced Calculus I for Engineers

Instructor: Shala Aliakbari

Differential Equations

Separable Variables

Integrating Factor

Exact Equations

Superposition Principle

Undetermined Co-Efficient

Laplace Transforms

Exponential Shift Formula

Existence of Laplace Transform

Laplace Transforms of Derivatives

System of Differential Equations

Transfer Function

Stability

Fourier Series

Odd/Even Fourier Series

Convergence of Fourier Series

Integration of Fourier Series

Differentiation of Fourier Series

Fourier Transforms

Partial Differential Equations

Formula Sheet