Math 338, Spring 2006: Syllabus and Assignments

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Date Topics TextAssignments
1 1/17 Random Sampling;Lecture 1 outline Chapter 2, 2.1.1--2.1.3, 2.1.5-2.1.6, 2.2.1
Chapter 1, 1.1, 1.2, 1.3
Problems, due 1/26
2 1/19 Mendelion genetics
Population genetics modeling
Lecture 2 outline
Chapter 1, 1.1, 1.2, 1.3
Chapter 3, section 2
Problems,due 1/26
Solutions
3 1/24 One locus/two allele, infinite population models
Chapter 3, section 3  
4 1/26 Infinite population models, continued Chapter 3, sections 1 and 3 Problems, due 2/2
Solutions
5 1/31 Finite population models:
Moran models
Chapter 3, section 3.3.7  
6 2/2 Finite population models:
Markov property, Wright-Fisher
Chapter 3, section 3.3.7 Problem set 3,due 2/9
Solutions
7 2/7 Nonlinear difference equations;
Models with selection
Lecture outline deriving fixation
probability in Wright-Fisher
Chapter 3, section 4  
8 2/9 Models with selection Chapter 3, section 4 Problems on 3.4 due 2/16
Solutions
9 2/14 Continuous random variables; review Chapter 2, sections 2.2.3, 2.3.1, 2.3.2.  
10 2/16 The coverage problem Chapter 4, section 4.1 Problems from 4.1 due 2/13
Solutions
11 2/21 First Midterm    
12 2/23 The coverage problem, II Chapter 4, 4.1 Problems, due 3/2
Solutions
13 2/28 Discrete models for recognition sequence locations Chapter 4, Section 2  
143/2 Geometric random variables; Poisson random variables.
Poisson approximation to the binomial distribution.
Chapter 4, 4.3  
15 3/7 Poisson process models of cut site locations Chapter 4, 4.3
Prof. Sontag's notes on Poisson process axioms
Problems, due 3/21
Hint on 4.26 b)
Solutions
163/9 Markov chains Chapter 5, section 5.1  
173/21 Markov chains Chapter 5 Problems, due 3/28
Hand in 4, 5, 8, 10
Solutions
183/23 Markov chains, Chapter 5  
193/28 Likelihood functions and maximum likelihood estimates Chapter 6, 6.1-6.4 Problems, due 4/4
Solutions to Chap. 5 problems
Solutions to Chap. 6 problems
203/30 Hypothesis testing Chapter 6, 6.5  
214/4 Hypothesis testing; examples Chapter 6, 6.5  
224/6 Second midterm    
234/11 Hypothesis testing; Chapter 6, 6.5, 6.6 Problems, due 4/13
Solutions
244/13 Alignment of homologous protein sequences;
Scoring alignments
Chapter 6, 6.7, Chapter 7, 7.1 Extra credit problems, due 4/25
254/18 Optimal alignment, I Chapter 7, pp. 1-22.  
264/20 Optimal alignment, II
Affine gap penalty
Chapter 7, to the end Problems, due 4/28
Solutions, Part I
Solutions, Part II
274/25 Optimal alignment, III
Repeat match alignment
Chapter 7 and class notes  
284/27 Discussion of final problem set