Consulting Opening

Math and Stat for Biologists 

I am often asked by other faculty and students about potential math and stat courses for students to take. "What are the math/stat courses that are really needed to become a quantitative biologist"? My answer is found below. I also list my favorite textbooks and other resource for selfstudy. I personally believe beyond the required courses, one can study additional material by herself/himself with good textbooks (not any textbooks though!) because we are often interested in knowing how to use math and stat to understand biological processes rather than proving math is correct For graduate students, there is not much option but selflearning because these are undergraduate courses. 

Required Math Courses 

Calculus I & II  Textbook: Resource: 

Linear Algebra  Textbook: Resource: NOTE: Prerequisit for many stat courses 

Introductory Differential Equations  Textbook: Any suggestion? Resource: 

Required Statistics Courses 

Intro to Probability and Statistics  Textbook: Mathematical Statistics and Data Analysis by John A. Rice  
Linear Statistics  Textbook: Any Suggestion?  
Additional Math Topics 

Calculus of Variation  Textbook: A Primer on the Calculus of Variations and Optimal Control Theory by Mike MestertonGibbons NOTE: If you are interested in opitimal control of natural resource management, this is an important topic. The textbook is relatively easy to read if you did well in the four math courses above. 

NonLinear Dynamics  Textbook: Nonlinear Dynamics and Chaos: With Applications to Physics, Biology, Chemistry and Engineering by Steven H. Strogatz NOTE: You must be proficient on this topic if you want to be a theoretical ecologist. 

Partial Differential Equations  Textbook: Partial Differential Equations for Scientists and Engineers by Stanley J. Farlow NOTE: This topic is important if you are interestred in spatial dynamics. Even if you are only interested in discrete space models, you should study this topic to avoid many common mistakes! 

Numerical Analysis  Textbook: Any Suggestion? NOTE: I personally think this should be a part of every math course. When I took the course (long time ago), I used the book by Cheney and Kincaid. 

Stochastic Processes  Textbook: Discrete Stochastic Processes (Kluwer International Series in Engineering and Computer Science, 321) by Robert G. Gallager Additional Reading: NOTE: If you are interested in stochastic processes (pretty much every biological processes), you should study this topic. 

Additional Stat Topics 

Time Series Analysis  Textbook: Time Series: A Biostatistical Introduction (Oxford Statistical Science Series, No. 5) by Peter J. Diggle  
Multivariate Statistics  Textbook: Applied Multivariate Statistical Analysis by Dean W. Wichern 

NonParametric Statistics  Textbook: Practical Nonparametric Statistics, 3rd Edition by W. J. Conover  
Bootstrap and other simulationbased statistics  Textbook: An Introduction to the Bootstrap by Bradley Efron, Robert J. Tibshirani NOTE: Someone stole my book when I was moving to Texas. If you find a copy with my name, please return it to me! It is on page 101 (possibly written in Japanese) 
