Monson H. Hayes

09/03 Introduction to Functions of a Real Variable

09/05 Complex Numbers

09/10 Complex Functions and Derivatives

09/12 Analytic Functions and the Cauchy-Riemann Equations

09/17 Elementary Functions

09/24 More Elementary Functions

10/01 Cauchy's Integral Formula

10/08 Power Series

10/10 Laurant Series and Residue Integration

10/15 Fourier Series

10/17 Complex Fourier Series and the Frequency Domain

10/18 Complex Analysis Review and Problems

10/22 Midterm Exam

10/29 Fourier Series Porperties and the Spectrum of a Signal

10/31 Fourier Series Application: Solving the Diffusion Equation

11/05 Introduction to the Fourier Transform

11/07 Introduction to Probabiity

11/12 Conditional Probabiity

11/14 Bayes Theorem and Statistical Independence

11/19 Continuous Sample Spaces and More on Independence

11/21 Sampling and Occupancy Problems

11/26 Random Variables

11/28 Distribution and Density Functions

12/03 Expected Value

12/05 Conditional Densities

12/10 Problems, Examples, and Applications

12/12 Review

12/17 Final Exam

These notes are to be used only for this course and are not to be distributed or reused for any other purpose.