Mth3006 Lecture 1

• Partial fractions (including a quadratic factor in the denominator)
• Integration by parts
• Laws of logarithms and Laws of exponentials
• Ordinary differential equations (ODEs)
  • First order ODEs (by separation of variables or as homogeneous equations)
  • Second order ODEs (by homogeneous equations with constant coefficients)
• Partial and total derivatives
• Fourier series
• Fourier transform
• Fourier’s inversion theorem

How is the Fourier Transform Derived?

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