Difference between revisions of "Phylogenetics (EEB 5349)"

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(New page: {|align=right |__TOC__ |} {border="0" |rowspan="2" valign="top"|200px |<span style="font-size: x-large">EEB 349: Phylogenetics</span> '''Lectures:''' TTh 12:30-1:4...)
 
(INFORMATION BELOW THIS POINT IS PROBABLY OBSOLETE)
 
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== THIS PAGE IS EXPERIMENTAL ==
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I was in the process of transitioning away from using a big table for the syllabus, but never finished the job. Hence this page is just partially complete. For the real Phylogenetics EEB 5349 home page, last used for the Spring 2009 edition of the course, please visit [[Phylogenetics: Syllabus]] instead.
|<span style="font-size: x-large">EEB 349: Phylogenetics</span>
+
  
'''Lectures:''' TTh 12:30-1:45 (TLS 313)<br/>'''Lab:''' Th 2-4 (TLS 313)<br/>'''Lecture Instructor:''' [mailto:paul.lewis@uconn.edu Paul O. Lewis]<br/>'''Lab Instructor:''' [mailto:jessica.budke@uconn.edu Jessica Budke]
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== INFORMATION BELOW THIS POINT IS PROBABLY VERY OBSOLETE ==
|}
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[[Image:Adiantum.png|200px|left]]
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 +
'''Lectures:''' TTh 12:30-1:45 (TLS 313)
 +
 
 +
'''Lab:''' Th 2-4 (TLS 313)
 +
 
 +
'''Lecture Instructor:''' [mailto:paul.lewis@uconn.edu Paul O. Lewis]
 +
 
 +
'''Lab Instructor:''' [mailto:jessica.budke@uconn.edu Jessica Budke]
  
 
== Lecture Topics ==
 
== Lecture Topics ==
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The following syllabus is tentative and probably will change without notice numerous times during the semester. Also, the content of linked presentations may change as well (so if you intend to print out lectures before class, do so as late as possible). Changes made after lectures are given will primarily reflect correction of typographical errors. All content linked to this page is copyright &copy; 2009 by Paul O. Lewis.
 
The following syllabus is tentative and probably will change without notice numerous times during the semester. Also, the content of linked presentations may change as well (so if you intend to print out lectures before class, do so as late as possible). Changes made after lectures are given will primarily reflect correction of typographical errors. All content linked to this page is copyright &copy; 2009 by Paul O. Lewis.
  
=== Tue., Jan. 20 ===
+
=== Introduction ((Tue., Jan. 20)) ===
'''Introduction'''{{pdf|{{SERVER}}/people/plewis/courses/phylogenetics/lectures/1_Intro.pdf}}<br/>The terminology of phylogenetics, rooted vs. unrooted trees, ultrametric vs. unconstrained, paralogy vs. orthology, lineage sorting, "basal" lineages, crown vs. stem groups
+
{{pdf|{{SERVER}}/people/plewis/courses/phylogenetics/lectures/1_Intro.pdf}}<br/>The terminology of phylogenetics, rooted vs. unrooted trees, ultrametric vs. unconstrained, paralogy vs. orthology, lineage sorting, "basal" lineages, crown vs. stem groups
 
Homework 1: Trees from splits {{pdf|{{SERVER}}/people/plewis/courses/phylogenetics/homeworks/Homework1.pdf}}
 
Homework 1: Trees from splits {{pdf|{{SERVER}}/people/plewis/courses/phylogenetics/homeworks/Homework1.pdf}}
  
=== Thu., Jan. 22 ===
+
=== Optimality criteria and search strategies ((Thu., Jan. 22)) ===
'''Introduction to optimality criteria and search strategies''' {{pdf|{{SERVER}}/people/plewis/courses/phylogenetics/lectures/2_Searching.pdf}}<br/>Exhaustive enumeration, branch-and-bound search, algorithmic methods (star decomposition, stepwise addition, NJ), heuristic search stragegies (NNI, SPR, TBR), evolutionary algorithms
+
{{pdf|{{SERVER}}/people/plewis/courses/phylogenetics/lectures/2_Searching.pdf}}<br/>Exhaustive enumeration, branch-and-bound search, algorithmic methods (star decomposition, stepwise addition, NJ), heuristic search stragegies (NNI, SPR, TBR), evolutionary algorithms
 
  (1) [[Phylogenetics: NEXUS Format|Nexus data file format]], (2) [[Phylogenetics: Bioinformatics Cluster|using the cluster]], and (3) [[Phylogenetics: Introduction to PAUP*|Introduction to PAUP*]]
 
  (1) [[Phylogenetics: NEXUS Format|Nexus data file format]], (2) [[Phylogenetics: Bioinformatics Cluster|using the cluster]], and (3) [[Phylogenetics: Introduction to PAUP*|Introduction to PAUP*]]
  
=== Tue., Jan. 27 ===
+
=== Consensus trees and Parsimony ((Tue., Jan. 27)) ===
'''Consensus trees''' {{pdf|{{SERVER}}/people/plewis/courses/phylogenetics/lectures/3a_Consensus.pdf}} and '''Parsimony''' {{pdf|{{SERVER}}/people/plewis/courses/phylogenetics/lectures/3b_Parsimony.pdf}} <br/>Strict, semi-strict, and majority-rule consensus trees; maximum agreement subtrees; Camin-Sokal, Wagner, Fitch, Dollo, and transversion parsimony; step matrices and generalized parsimony
+
{{pdf|{{SERVER}}/people/plewis/courses/phylogenetics/lectures/3a_Consensus.pdf}} {{pdf|{{SERVER}}/people/plewis/courses/phylogenetics/lectures/3b_Parsimony.pdf}} <br/>Strict, semi-strict, and majority-rule consensus trees; maximum agreement subtrees; Camin-Sokal, Wagner, Fitch, Dollo, and transversion parsimony; step matrices and generalized parsimony
 
Homework 2: Parsimony {{pdf|{{SERVER}}/people/plewis/courses/phylogenetics/homeworks/hw2_Parsimony.pdf}}
 
Homework 2: Parsimony {{pdf|{{SERVER}}/people/plewis/courses/phylogenetics/homeworks/hw2_Parsimony.pdf}}
  
=== Thu., Jan. 29 ===
+
=== History of Parsimony, Bootstrapping (Thu., Jan. 29) ===
'''History of Parsimony''' {{pdf|{{SERVER}}/people/plewis/courses/phylogenetics/lectures/4a_ParsimonyHistory.pdf}}, '''Bootstrapping''' {{pdf|{{SERVER}}/people/plewis/courses/phylogenetics/lectures/4b_Bootstrapping.pdf}}, and '''Distance Methods'''<br/>History of parsimony: Hennig, Edwards, Sokal, Camin, Dayhoff, Kluge, Farris, Fitch, Sankoff, and Wiley; character vs. character state; bootstrapping, least squares criterion, minimum evolution criterion
+
{{pdf|{{SERVER}}/people/plewis/courses/phylogenetics/lectures/4a_ParsimonyHistory.pdf}} {{pdf|{{SERVER}}/people/plewis/courses/phylogenetics/lectures/4b_Bootstrapping.pdf}}, and '''Distance Methods'''<br/>History of parsimony: Hennig, Edwards, Sokal, Camin, Dayhoff, Kluge, Farris, Fitch, Sankoff, and Wiley; character vs. character state; bootstrapping, least squares criterion, minimum evolution criterion
 
[[Phylogenetics:_Searching_Lab|Searching]]  
 
[[Phylogenetics:_Searching_Lab|Searching]]  
  
=== Tue., Feb. 3 ===
+
=== Distance Methods (Tue., Feb. 3) ===
'''Distance Methods''' {{pdf|{{SERVER}}/people/plewis/courses/phylogenetics/lectures/4c_Distances.pdf}} (a few slides added to end of the pdf since last lecture) <br/>Split decomposition, quartet puzzling, DCM, NJ
+
{{pdf|{{SERVER}}/people/plewis/courses/phylogenetics/lectures/4c_Distances.pdf}} (a few slides added to end of the pdf since last lecture) <br/>Split decomposition, quartet puzzling, DCM, NJ
 
  Homework 3: Distances {{pdf|{{SERVER}}/people/plewis/courses/phylogenetics/homeworks/hw3_Distances_revised.pdf}}
 
  Homework 3: Distances {{pdf|{{SERVER}}/people/plewis/courses/phylogenetics/homeworks/hw3_Distances_revised.pdf}}
  
=== Thu., Feb. 5 ===
+
=== Substitution models(Thu., Feb. 5) ===
'''Substitution models'''{{pdf|{{SERVER}}/people/plewis/courses/phylogenetics/lectures/5_Models.pdf}}<br/>Transition probability, instantaneous rates, JC69 model, K2P model, F81 model, F84 model, HKY85 model, GTR model
+
{{pdf|{{SERVER}}/people/plewis/courses/phylogenetics/lectures/5_Models.pdf}}<br/>Transition probability, instantaneous rates, JC69 model, K2P model, F81 model, F84 model, HKY85 model, GTR model
 
[[Phylogenetics: Python Primer|Python 101]]
 
[[Phylogenetics: Python Primer|Python 101]]
  
=== Tue., Feb. 10 ===
+
=== Maximum likelihood (Tue., Feb. 10) ===
'''Maximum likelihood'''{{pdf|{{SERVER}}/people/plewis/courses/phylogenetics/lectures/6_Likelihood.pdf}} <br/>Poisson processes; Likelihood: the probability of data given a model, maximum likelihood estimates (MLEs) of model parameters, likelihood of a tree, likelihood ratio test, simulation
+
{{pdf|{{SERVER}}/people/plewis/courses/phylogenetics/lectures/6_Likelihood.pdf}} <br/>Poisson processes; Likelihood: the probability of data given a model, maximum likelihood estimates (MLEs) of model parameters, likelihood of a tree, likelihood ratio test, simulation
 
  Homework 4: Likelihood {{pdf|{{SERVER}}/people/plewis/courses/phylogenetics/homeworks/hw4_Likelihood.pdf}}
 
  Homework 4: Likelihood {{pdf|{{SERVER}}/people/plewis/courses/phylogenetics/homeworks/hw4_Likelihood.pdf}}
  
=== Thu., Feb. 12 ===
+
=== Rate heterogeneity (Thu., Feb. 12) ===
'''Rate heterogeneity''' <br/>Proportion of invariable sites, discrete gamma, site-specific rates
+
Proportion of invariable sites, discrete gamma, site-specific rates
 
  [[Phylogenetics: Likelihood Lab|Likelihood]]
 
  [[Phylogenetics: Likelihood Lab|Likelihood]]
  
=== Tue., Feb. 17 ===
+
=== Codon and secondary structure models(Tue., Feb. 17) ===
'''Codon and secondary structure models''' <br/>RNA stem/loop structure, compensatory substitutions, stem models, nonsynonymous vs. synonymous rates, codon models
+
RNA stem/loop structure, compensatory substitutions, stem models, nonsynonymous vs. synonymous rates, codon models
 
  Homework TBA
 
  Homework TBA
  
=== Thu., Feb. 19 ===
+
=== Topology tests (Thu., Feb. 19) ===
'''Bootstrapping and topology tests''' <br/>Bootstrapping, Bremer support, KH test, SH test, SOWH test
+
Bremer support, KH test, SH test, SOWH test
 
GARLI/RaxML lab
 
GARLI/RaxML lab
  
=== Tue., Feb. 24 ===
+
=== Simulation (Tue., Feb. 24) ===
'''Simulation''' <br/>Stochastic simulation, statistical consistency, long branch attraction, long branch repulsion, likelihood ratio tests, Akaike Information criterion (AIC), Bayesian Information Criterion (BIC)
+
Stochastic simulation, statistical consistency, long branch attraction, long branch repulsion, likelihood ratio tests, Akaike Information criterion (AIC), Bayesian Information Criterion (BIC)
 
  Homework TBA
 
  Homework TBA
  
=== Thu., Feb. 26 ===
+
=== Data partitioning(Thu., Feb. 26) ===
'''Data partitioning'''  <br/>ILD test for combinability, using different model for each partition
+
ILD test for combinability, using different model for each partition
 
  Lab TBA
 
  Lab TBA
  
=== Tue., Mar. 3 ===
+
=== Bayesian statistics (Tue., Mar. 3) ===
'''Bayes primer'''  <br/>Conditional/joint probabilities, Bayes rule, prior vs. posterior distributions, probability mass vs. probability density, Markov chain Monte Carlo (start)
+
Conditional/joint probabilities, Bayes rule, prior vs. posterior distributions, probability mass vs. probability density, Markov chain Monte Carlo (start)
 
  Homework TBA
 
  Homework TBA
  
=== Thu., Mar. 5 ===
+
=== Midterm exam(Thu., Mar. 5) ===
'''Midterm exam'''
+
 
Lab TBA
 
Lab TBA
  
=== Tue., Mar. 10 ===
+
=== Spring break (Tue., Mar. 10) ===
'''Spring break'''
+
 
no class  
 
no class  
  
=== Thu., Mar. 12 ===
+
=== Spring break (Thu., Mar. 12) ===
'''Spring break'''
+
 
no class  
 
no class  
  
=== Tue., Mar. 17 ===
+
=== Bayesian phylogenetics (Tue., Mar. 17) ===
'''Bayesian phylogenetics'''  <br/>MCMC (continued), heated chains, choosing prior distributions  
+
MCMC (continued), heated chains, choosing prior distributions  
 
  MCMC
 
  MCMC
  
=== Thu., Mar. 19 ===
+
=== Prior distributions (Thu., Mar. 19) ===
'''Prior distributions''' <br/>Summarizing posterior distributions, commonly-used prior distributions, problem priors, reversible-jump MCMC, star tree paradox
+
Summarizing posterior distributions, commonly-used prior distributions, problem priors, reversible-jump MCMC, star tree paradox
 
  MrBayes
 
  MrBayes
  
=== Tue., Mar. 24 ===
+
=== Bayesian model selection (Tue., Mar. 24) ===
'''Confidence intervals''' (follow-up on last lecture) <br/>Bayes  factors, posterior predictive approaches to model selection  
+
Bayes  factors, posterior predictive approaches to model selection  
 
   LOCAL move
 
   LOCAL move
  
=== Thu., Mar. 26 ===
+
=== Model Selection (Thu., Mar. 26) ===
'''Model Selection, part II (4 extra slides)'''   
+
''', part II (4 extra slides)'''   
 
  Mesquite
 
  Mesquite
  
=== Tue., Mar. 31 ===
+
=== Ancestral Character States (Tue., Mar. 31) ===
'''Ancestral Character States'''  <br/>Parsimony approach, ML approach, empirical Bayes approach
+
Parsimony approach, ML approach, empirical Bayes approach
 
  Anc. states
 
  Anc. states
  
=== Thu., Apr. 2 ===
+
=== TBA (Thu., Apr. 2) ===
No lecture today
+
 
No lab today
 
No lab today
  
=== Tue., Apr. 7 ===
+
=== Models for discrete morphological data(Tue., Apr. 7) ===
'''Models for discrete morphological data'''  <br/>DNA sequences vs. morphological characters, Symmetric vs. asymmetric 2-state models, Mk model, estimating morphological branch lengths
+
DNA sequences vs. morphological characters, Symmetric vs. asymmetric 2-state models, Mk model, estimating morphological branch lengths
 
  Mk model
 
  Mk model
  
=== Thu., Apr. 9 ===
+
=== Character Correlation (Thu., Apr. 9) ===
'''Discrete Character Correlation'''   
+
Pagel's likelihood ratio test, Felsenstein's threshhold model, Felsenstein's independent contrasts
'''Continuous Character Correlation'''  <br/>Pagel's likelihood ratio test, Felsenstein's threshhold model, Felsenstein's independent contrasts
+
 
  Partitioning/Morphology
 
  Partitioning/Morphology
  
=== Tue., Apr. 14 ===
+
=== Stochastic Character Mapping (Tue., Apr. 14) ===
'''Stochastic Character Mapping'''  <br/>Concentrated changes test, stochastic mapping for estimating ancestral states and character correlation, SIMMAP demo
+
Concentrated changes test, stochastic mapping for estimating ancestral states and character correlation, SIMMAP demo
 
  Mapping
 
  Mapping
  
=== Thu., Apr. 16 ===
+
=== TBA (Thu., Apr. 16) ===
'''Stochastic Character Mapping''' (finish)
+
 
  BayesTraits
 
  BayesTraits
  
=== Tue., Apr. 21 ===
+
=== Divergence Time Estimation (Tue., Apr. 21) ===
'''Divergence Time Estimation'''  <br/>Non-parametric rate smoothing, penalized likelihood, cross-validation, Bayesian approaches
+
Non-parametric rate smoothing, penalized likelihood, cross-validation, Bayesian approaches
 
Read chapter and paper for Apr. 25
 
Read chapter and paper for Apr. 25
  
=== Thu., Apr. 23 ===
+
=== Key innovations (Thu., Apr. 23) ===
'''Inferring key innovations''' <br>Key innovations, clade contrast approach, stochastic mapping method, what ''was'' and ''was not'' covered in this course (also course evaluations)
+
Key innovations, clade contrast approach, stochastic mapping method, what ''was'' and ''was not'' covered in this course (also course evaluations)
 
  r8s  
 
  r8s  
  
=== Tue., Apr. 28 ===
+
=== TBA (Tue., Apr. 28) ===
'''TBA'''
+
 
No homework today
 
No homework today
  
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* [http://taxonomy.zoology.gla.ac.uk/rod/treeview.html TreeView]
 
* [http://taxonomy.zoology.gla.ac.uk/rod/treeview.html TreeView]
  
[[Category:EEB Courses]]
+
<!-- [[Category:EEB Courses]] -->
[[Category:Phylogenetics]]
+
<!-- [[Category:Phylogenetics]] -->
  
__NOEDITSECTION__
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<!-- __NOEDITSECTION__ -->
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__NOTOC__

Latest revision as of 23:22, 28 April 2009

THIS PAGE IS EXPERIMENTAL

I was in the process of transitioning away from using a big table for the syllabus, but never finished the job. Hence this page is just partially complete. For the real Phylogenetics EEB 5349 home page, last used for the Spring 2009 edition of the course, please visit Phylogenetics: Syllabus instead.

INFORMATION BELOW THIS POINT IS PROBABLY VERY OBSOLETE

Adiantum.png

Lectures: TTh 12:30-1:45 (TLS 313)

Lab: Th 2-4 (TLS 313)

Lecture Instructor: Paul O. Lewis

Lab Instructor: Jessica Budke

Lecture Topics

The following syllabus is tentative and probably will change without notice numerous times during the semester. Also, the content of linked presentations may change as well (so if you intend to print out lectures before class, do so as late as possible). Changes made after lectures are given will primarily reflect correction of typographical errors. All content linked to this page is copyright © 2009 by Paul O. Lewis.

Introduction ((Tue., Jan. 20))

Pdficon small.gif
The terminology of phylogenetics, rooted vs. unrooted trees, ultrametric vs. unconstrained, paralogy vs. orthology, lineage sorting, "basal" lineages, crown vs. stem groups Homework 1: Trees from splits Pdficon small.gif

Optimality criteria and search strategies ((Thu., Jan. 22))

Pdficon small.gif
Exhaustive enumeration, branch-and-bound search, algorithmic methods (star decomposition, stepwise addition, NJ), heuristic search stragegies (NNI, SPR, TBR), evolutionary algorithms

(1) Nexus data file format, (2) using the cluster, and (3) Introduction to PAUP*

Consensus trees and Parsimony ((Tue., Jan. 27))

Pdficon small.gif Pdficon small.gif 
Strict, semi-strict, and majority-rule consensus trees; maximum agreement subtrees; Camin-Sokal, Wagner, Fitch, Dollo, and transversion parsimony; step matrices and generalized parsimony

Homework 2: Parsimony Pdficon small.gif

History of Parsimony, Bootstrapping (Thu., Jan. 29)

Pdficon small.gif Pdficon small.gif, and Distance Methods
History of parsimony: Hennig, Edwards, Sokal, Camin, Dayhoff, Kluge, Farris, Fitch, Sankoff, and Wiley; character vs. character state; bootstrapping, least squares criterion, minimum evolution criterion Searching

Distance Methods (Tue., Feb. 3)

Pdficon small.gif (a few slides added to end of the pdf since last lecture)
Split decomposition, quartet puzzling, DCM, NJ

Homework 3: Distances Pdficon small.gif

Substitution models(Thu., Feb. 5)

Pdficon small.gif
Transition probability, instantaneous rates, JC69 model, K2P model, F81 model, F84 model, HKY85 model, GTR model Python 101

Maximum likelihood (Tue., Feb. 10)

Pdficon small.gif
Poisson processes; Likelihood: the probability of data given a model, maximum likelihood estimates (MLEs) of model parameters, likelihood of a tree, likelihood ratio test, simulation

Homework 4: Likelihood Pdficon small.gif

Rate heterogeneity (Thu., Feb. 12)

Proportion of invariable sites, discrete gamma, site-specific rates

Likelihood

Codon and secondary structure models(Tue., Feb. 17)

RNA stem/loop structure, compensatory substitutions, stem models, nonsynonymous vs. synonymous rates, codon models

Homework TBA

Topology tests (Thu., Feb. 19)

Bremer support, KH test, SH test, SOWH test GARLI/RaxML lab

Simulation (Tue., Feb. 24)

Stochastic simulation, statistical consistency, long branch attraction, long branch repulsion, likelihood ratio tests, Akaike Information criterion (AIC), Bayesian Information Criterion (BIC)

Homework TBA

Data partitioning(Thu., Feb. 26)

ILD test for combinability, using different model for each partition

Lab TBA

Bayesian statistics (Tue., Mar. 3)

Conditional/joint probabilities, Bayes rule, prior vs. posterior distributions, probability mass vs. probability density, Markov chain Monte Carlo (start)

Homework TBA

Midterm exam(Thu., Mar. 5)

Lab TBA

Spring break (Tue., Mar. 10)

no class

Spring break (Thu., Mar. 12)

no class

Bayesian phylogenetics (Tue., Mar. 17)

MCMC (continued), heated chains, choosing prior distributions

MCMC

Prior distributions (Thu., Mar. 19)

Summarizing posterior distributions, commonly-used prior distributions, problem priors, reversible-jump MCMC, star tree paradox

MrBayes

Bayesian model selection (Tue., Mar. 24)

Bayes factors, posterior predictive approaches to model selection

 LOCAL move

Model Selection (Thu., Mar. 26)

, part II (4 extra slides)

Mesquite

Ancestral Character States (Tue., Mar. 31)

Parsimony approach, ML approach, empirical Bayes approach

Anc. states

TBA (Thu., Apr. 2)

No lab today

Models for discrete morphological data(Tue., Apr. 7)

DNA sequences vs. morphological characters, Symmetric vs. asymmetric 2-state models, Mk model, estimating morphological branch lengths

Mk model

Character Correlation (Thu., Apr. 9)

Pagel's likelihood ratio test, Felsenstein's threshhold model, Felsenstein's independent contrasts

Partitioning/Morphology

Stochastic Character Mapping (Tue., Apr. 14)

Concentrated changes test, stochastic mapping for estimating ancestral states and character correlation, SIMMAP demo

Mapping

TBA (Thu., Apr. 16)

BayesTraits

Divergence Time Estimation (Tue., Apr. 21)

Non-parametric rate smoothing, penalized likelihood, cross-validation, Bayesian approaches Read chapter and paper for Apr. 25

Key innovations (Thu., Apr. 23)

Key innovations, clade contrast approach, stochastic mapping method, what was and was not covered in this course (also course evaluations)

r8s 

TBA (Tue., Apr. 28)

No homework today

Goals of this course

This course is designed to give you the background you need to understand and critically evaluate phylogenetic analyses described in current primary literature, and to design appropriate phylogenetic analyses to address your own research questions.

Unlike many graduate courses, you will spend less time reading papers and more time using state-of-the-art software tools and doing homework assignments designed to ensure that you understand the output of the programs.

There is a confusing diversity of programs these days for performing phylogenetic analyses. We will concentrate on only a few so that you will know how to use these well by the end of the course.

Textbook

No textbook is required for this course, although you might find Joe Felsenstein's 2004 book "Inferring Phylogenies" (published by Sinauer) useful.

Labs

The laboratory section of this course consist of tutorials that you work through at your own pace using your own laptop computer. In some cases, you will use the UConn Bioinformatics Facility's computing cluster to perform analyses. Please contact Jeff Lary (486-5036) to get an account on the cluster at your earliest convenience.

Homeworks

Your grade will be based on a midterm exam, a final exam and a number of homework assignments, one of which will be assigned (nearly) every week. These homework assignments should be treated as if they were take-home, open-book exams. You may therefore consult with either me or the TA for the course, but not with fellow students when working on the homeworks.

Projects

In addition to homeworks, you will prepare a term paper to be due the last week of the course. There is a lot of flexibility in the nature of the term paper. If you have data of your own, you may decide to write a paper describing a phylogenetic analysis of these data, using appropriate methods learned during the course. If you are not yet at the stage of your graduate career where you have data of your own, you can do a thorough re-analysis of an existing data set. Finally, it is ok to simply write a review paper describing a particular topic in phylogenetics in depth. Please get my approval of your chosen topic before doing extensive work on your paper.

Links