MTH 4510 Fourier Analysis and Its Applications
In this class, students will be exposed to orthogonal functions, Fourier series, Fourier transforms, and a variety of additional convolution and filtering techniques. Students will also see applications of Fourier analysis in fields such as signal and image processing and time series analysis.
Course Types
Non-lab science
Offered
Spring of odd years.
Course Outcomes
- Learning Outcomes
Students will
• Have a deeper understanding of orthogonality, particularly in relation to function spaces.
• Have a deeper understanding of the importance of series approximation of data
• Have an understanding of the difference between time and frequency space
• Have a deeper understanding of the importance of convolution and filtering techniques when studying data
• Have a better appreciation of importance of Fourier analysis related to signal and image processing
• Have an increased proficiency of mathematical computing as it is applied to Fourier analysis