# Dr. Marcus Pendergrass

### Fall 2010 Schedule

- Statistics (Math 121.01), MWF 8:30 – 9:20, T 1:30 – 2:20, Bagby 106
- Introduction to Computational Science (Math 185.01), MWF 10:30 – 11:20, Bagby 120
- Calculus III (Math 242.01), MWF 11:30 – 12:20, R 12:30 – 1:20, Bagby 111

### Office Hours

- MWF 2:30 – 4:00
- TR 3:30 – 5:00
- others by appointment

### Classroom Materials

### Undergraduate Research

Interested in doing research in math or applied math? I work with motivated students on problems in a variety of areas. Some examples of work I’ve done in the past with students:

- A Survey of Various Data Compression Techniques, Charles Alexander Smith ’10. Alex looked at the underlying technology of lossy data compression, including MP3 audio compression and JPEG image compression as part of his Departmental Honors in Mathematics. Fourier analysis and wavelets were the main mathematical areas involved in his research. Alex’s presentation of this work at the Spring 2009 regional meeting of the Mathematical Association of America took first prize in the poster session.
- Fast Multiplication of Large Integers Using Fourier Techniques, Henry Clarke Skiba ’10. Henry investigated the use of the Fast Fourier Transform (FFT) in carrying out the multiplication of very large integers (i.e. millions of digits). This work was part of the Applied Mathematics class taught in the Fall of 2008.
- A Frequency Domain Technique for Correcting Distortion Caused by Variable Recording Speed, Robert Hembree ’09, Henry Clarke Skiba ’10, Charles Alexander Smith ’10. A variable sampling rate during recording (e.g. when the motor driving an audio tape machine fluctuates) will introduce distortions in the recorded signal. However, if a known reference signal is present, this distortion can be corrected. In the fall of 2008 our Applied Mathematics class developed algorithms to perform this correction, and tested the algorithms in various scenarios.

### My Recent Papers

- A Path-Guessing Game With Wagering (
*Probability in the Engineering and Informational Sciences*(2010)) - The Lying Oracle With A Biased Coin (
*Advances in Applied Probability*, Vol. 41, No. 4 (2009), with Robb Koether and John Osoinach) - The Naive Chain Rule (
*College Mathematics Journal*, 39:2 (2007), with Leigh Lunsford, Phillip Poplin, and David Shoenthal)

### Research Interests

- Probability and Stochastic Processes
- Game Theory
- Signal Processing