Final: Tuesday May 1st, 2001, 9 am (exam group 26).
Course number 49305, no CR/D/F.
Office hours: Tuesday, Thursday 10:15-11:15,
rm. 421 DL or by appointment (432-7048).
The topics will consist of:
|January 13,15||Lebesgue 1-3||Basics of Integration and "Lebesgue Outer Measure."|
|January 20,22||Lebesgue 4-8||Measurable Sets and Functions.|
|January 27,29||Lebesgue 8-10||Lebesgue Integration and its Convergence Theorems.|
|February 3,5||Lebesgue 11-13||Null sets, Riemann Integration Revisited, Vector Spaces of Functions.|
|February 10,12||Lebesgue 14-15, Fourier 1||Inner Products of Functions, Fundamental Theorem of Calculus.|
|February 17,19||Fourier 1-3||MIDTERM, Fourier Series and Coefficients.|
|February 24,26||Fourier 4-7||Convergence of Fourier Series, Riesz-Fischer Theorem.|
|March 3,5||Fourier Applications||Convolutions, some Number Theory.|
|SPRING BREAK, TAKE-HOME MIDTERM|
|March 24,26||Fourier Applications||Music: The Fast Fourier Transform and Instruments.|
|March 31, April 2||Fourier Applications||The Heisenberg Uncertainty Principle via Fourier Analysis.|
|April 7,9||ODE 1-3||Ordinary Differential Equations and Matrices.|
|April 14,16||ODE 4-6||Existence and Uniqueness Theorems for ODE's.|
|April 21,23||Wrap-up||Finish off some loose ends or do more applications.|