These are" notes based on courses in Theoretical Population Genetics
given at the University of Texas at Houston during the winter quarter,
1974, and at the University of Wisconsin during the fall semester, 1976.
These notes explore problems of population genetics and evolution
involving stochastic processes. Biological models and various
mathematical techniques are discussed. Special emphasis is given to the
diffusion method and an attempt is made to emphasize the underlying
unity of various problems based on the Kolmogorov backward equation. A
particular effort was made to make the subject accessible to biology
students who are not familiar with stochastic processes. The references
are not exhaustive but were chosen to provide a starting point for the
reader interested in pursuing the subject further. Acknowledgement I
would like to use this opportunity to express my thanks to Drs. J. F.
Crow, M. Nei and W. J. Schull for their hospitality during my stays at
their universities. I am indebted to Dr. M. Kimura for his continuous
encouragement. My thanks also go to the small but resolute groups
of.students, visitors and colleagues whose enthusiasm was a great source
of encouragement. I am especially obliged to Dr. Martin Curie-Cohen and
Dr. Crow for reading a large part eX the manuscript and making many
valuable comments. Special gratitude is expressed to Miss Sumiko Imamiya
for her patience and endurance and for her efficient preparation of the
manuscript.