Fourier Analysis · Calculus
The Fourier Transform
The Fourier transform decomposes a non-periodic function into a continuous frequency spectrum. The convolution theorem turns difficult integrals into simple multiplications.
WHAT STUDENTS WILL LEARN
✓Define the Fourier transform and its inverse on ℝ
✓Apply linearity, shift, scaling, convolution theorem
✓Compute transforms of standard functions
✓Understand the Uncertainty Principle
BUILDS ON
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