Outline Predator and prey. Competition between species. The n-dimensional Lotka-Volterra equation. Replicator dynamics and ev
Lecture 15
Lotka-Volterra.
Shlomo Sternberg
April 14 - 21, 2009
Shlomo Sternberg
Lecture 15 Lotka-Volterra.
Outline Predator and

Lieberman, Learning, Chapter 4, pp. 114-127
This reading explains the mathematical logic behind learning models like the Rescorla-Wagner
(RW) Model. It provides important insight into the development of the (RW) model as a tool for
the evaluation of learn

CIS 262
Automata, Computability, and Complexity
Fall 2016
http:/www.seas.upenn.edu/~cse262/
Instructor: Aaron Roth
aaroth@cis.upenn.edu
Lecture: Oct 11, 2016
Logistics
PS3 is Due (already).
Grading of PS2 on track to be done tonight.
Midterm: THURSDAY (Oc

Memory: The Sperling Partial Report Task
Human memory has limited capacity, and thus we do not store information about
everything that happens to us. One aspect of this is studied under the rubric of the
"perceptual span" - how much information can be ext

LEARNING
BEHAVIOR AND COGNmON
David A. Lieberlnan
UnilIersir, of Scirling
Scodand
Wadsworth Publishing Company
Belmont, California
A Division of Wadsworth, Inc.
CHAPTER
4.1 THE RESCORLAWAGNER
4.4
MODEL
Learning and the Role of Expectations
The Model
The l

Reisberg, Cognition, The Acquisition of Memories and the Working-Memory System
This goal of this reading is to give you some more detail about memory and why
scientists think it works the way it does. It describes the framework that most cognitive
scienti

CIS 262
Automata, Computability, and Complexity
Fall 2016
http:/www.seas.upenn.edu/~cse262/
Instructor: Aaron Roth
aaroth@cis.upenn.edu
Lecture: Sept 8, 2016
DFA Example
= cfw_a, b. L2 = cfw_ w | 2nd symbol in w equals a
a,b
a
a
b
Do we need five states

Daniel Schacter, The Seven Sins of Memory, The Sin of Misattribution
The goal of this reading is to give you some detail and background information about
errors in memory. It is a pretty easy read and has lots of rich examples that will help you
understan

CIS 262
Automata, Computability, and Complexity
Fall 2016
http:/www.seas.upenn.edu/~cse262/
Instructor: Aaron Roth
aartoh@cis.upenn.edu
Lecture: Sept 13, 2016
Course Logistics
Homework 2 is out.
Due Tuesday September 27 at noon, turned in via
GradeScope.

Reinforcement Learning
Motivation
In life, one often takes a long sequence of actions, and then later receives a reward
or punishment that is in part a consequence of those decisions. You play a game of
chess,

9/21/16
Announcements
Today
HW 3, due next Wednesday 9/28 at noon. Solutions will be posted
shortly thereafter, so you have them to study for next Thursday's exam.
HW 1 grades and solutions are posted. See Piazza (and syllabus) for
regrade request proce

Goldstein, Sensation and Perception, Chapter 16
The goal of this reading is to discuss key topics related to development in greater detail
than in lecture. This reading provides definitions of ley terms as well as simple
descriptions of experimental studi

9/27/16
Announcements
Themes
HW 3, due tomorrow Wednesday 9/28 at noon. Solutions will be posted
shortly thereafter, so you have them to study for Thursday's exam.
HW 2 solutions are posted, actual grades will come soon.
Exam this Thursday 9/29 in clas

CIS 262
Automata, Computability, and Complexity
Fall 2016
http:/www.seas.upenn.edu/~cse262/
Instructor: Aaron Roth
aaroth@cis.upenn.edu
Lecture: Sept 27, 2015
Recap: Lower Bounds on State Complexity
Definition: Strings u and v are distinguishable with res

CIS 262
Automata, Computability, and Complexity
Fall 2016
http:/www.seas.upenn.edu/~cse262/
Instructor: Aaron Roth
aaroth@cis.upenn.edu
Lecture: Oct 4, 2016
Recap: Turing machines: Syntax
A TM M consists of
A finite set Q of states
Initial state q0 (bel

10/3/16
Announcements
No recita0ons this week (fall break).
Exam grades will be posted this week
Studying Perceptual Development in Infants
Today
Plas0city and development, with focus on percep0on.
Big themes:
Do we need to learn to pe

LITERATURE REVIEW ASSIGNMENT ONE: IDENTIFYING
A TOPIC AND SOURCES FOR YOUR LITERATURE REVIEW
Your first task is to identify a topic that you wish to research for your literature review.
Your goal will be to present a list of seven articles related directl

Tips on Creating a Presentation
You have likely had experience with PowerPoint-based presentations, so you
already know that you should be brief, succinct, and keep the slides to a minimum.
As writers preparing to

Math 260
Herman Gluck
Tuesday April 12, 2016
Problem
1
2
3
4
5 (Extra credit)
6 (For fun)
Score
MATH 260 SECOND TAKE-HOME EXAM
PLEASE PRINT YOUR NAME HERE_
INSTRUCTIONS.
This take home exam is due back in class on Tuesday April 19.
No late exams!
There ar

Math 260 - Honors Calculus
Herman Gluck
Tuesday April 19, 2016
9. THE HODGE DECOMPOSITION THEOREM
Four questions.
(1) Suppose you have a vector field defined on a compact
domain in 3-space. How can you tell if it is the gradient
of some function?
(2) .or

Tips on PowerPoints
The PowerPoint genre has developed substantially over the past few years. For
presentations that can be delivered mostly through spoken wordfor example,
speeches to a general audiencegood PowerPo

Hist155/ASAM003 Final Exam Study Guide
Impacts of WWII on the lives of Asian Americans (all five ethnic groups)
Japanese American internment
(Why it happened, how it happened, legal issues, major players and decision-makers)
Asian naturalization rights (R

Math 260
Herman Gluck
Saturday April 23, 2016
MATH 260 SECOND TAKE-HOME EXAM
Sample Solutions
Problem 1. Find all the critical points of the function
f (x, y) = 2x2 4 x y + y4 + 2 ,
say for each whether it is a local minimum, local maximum or saddle point

Ward, The Students Guide to Cognitive Neuroscience, Chapter 4, pages 49-55
The goal of this reading is to provide information on some of the tools that psychologists,
neuroscientists, and cognitive scientists use to image the brain. This reading will be o

Wikipedia entry on Dissociations
The goal of this reading is to emphasize the key concept of dissociation. The entry also
clearly differentiates single and double dissociations with helpful examples. They will
help you further understand the utility of de

Math 260 - Honors Calculus
Herman Gluck
Tuesday April 12, 2016
CHAPTER 7. SYSTEMS OF
LINEAR DIFFERENTIAL EQUATIONS
Homogeneous Linear Systems - Distinct Real Eigenvalues
Solve
dx/dt = 2x + 3y
and
dy/dt = 2x + y
First let's try to "decouple" these two equa

CHAPTER 5
The Acquisition of
Memories and the
Working-Memory System
nt:
. 5,
the
Jter
IOnS
a.ths
you
>the
l see,
L you
L you
ramtcon:mory
s that
you
telpful
ut the
it will
~s
~ments
:lf and
Jecause
Jrocess.
ccuracy
l.Il do to
leteness
CHAPTI=~
OLITI INF
T

Daft/NJ 96L cit/L"
4 gtwn 9 (fl lMtVMV
The Sin of
Misattribution
I have been here before,
But when or how I cannot tell:
I know the grass beyond the door,
The sweet keen smell, '
The sighing sound, the lights around the shore. . .
- Sudden Light, Dante Ga