Fourier Analysis
4.0
creditsAverage Course Rating
An introduction to the Fourier transform and the construction of fundamental solutions of linear partial differential equations. Homogeneous distributions on the real line: the Dirac delta function, the Heaviside step function. Operations with distributions: convolution, differentiation, Fourier transform. Construction of fundamental solutions of the wave, heat, Laplace and Schrödinger equations. Singularities of fundamental solutions and their physical interpretations (e.g., wave fronts). Fourier analysis of singularities, oscillatory integrals, method of stationary phase.
Fall 2014
Professor: Jiuyi Zhu
Students praised this course for having a good instructor who was open to questions from the students and covered interesting material. Perceived issues with the course varied; most students felt that the homework was difficult to grasp and frustrating. Suggestions for improvement varied though some students wanted thorough walkthroughs of problems or answer keys for homework so they could know whether they were understanding concepts taught in the class. Prospective students should know that students found the course was extremely chal enging and should go into the course with a math background.