Government 20: Week 11, Lecture 2
Institutions and Ethnic Conflict: Consociationalism in Theory and Practice
I. The Consociational Model (Lijphart)
A. Starting Point: Deeply divided society (ethnic di
Government 20: Week 11, Lecture 1: Electoral Systems and Party Systems
I. Where do parties come from?
A. Helps politicians pass bills and facilitate deals
B. Solves collective action problems for vote
AM 21a 11:00am
19 flux integrals and divergence
19.1 the idea of a flux integral
find an area vector for an oriented flat surface
find the flux of a constant vector field through an oriented flat
AM 21a 11:00am
18 flux integrals and divergence
18.1 the idea of a line integral
identify when F~ d~r is positive at a point on an oriented curve and when it is negative
interpret the sign of a li
Math Midnight Madness
Applied Math 21a: Fall 2017
The following problems have been pulled by the TFs as good review
problems for the exam. They are similar to the problems that Sarah suggests
and cove
AM 21a 11:00am
20 the curl and Stokes theorem
20.1 the curl of a vector field
Find the curl of a vector field and use it to compute curl F~ ~n, the circulation density of the field
about an axis in
ECONOMICS S-1010
HARVARD UNIVERSITY
SUMMER SCHOOL
SPRING 2016
PROBLEM SET 1 ANSWERS
due June 29, in class
Show all calculations, explain all answers (up to 5 lines), and fully label graphs. Also:
(a)
APMTH 21a Problem Set 2 Solutions
Due on Friday, September 19, 2014, before 5pm
Announcements
You may attend as many or as few sections as you like, but please turn in your homework to your assigned
APMTH 21a Problem Set 5 Solutions
Due on Friday, October 17, 2014, before 5pm
Announcements
You may attend as many or as few sections as you like, but please turn in your homework to your assigned TF
APMTH 21a Problem Set 5
Due on Friday, October 17, 2014, before 5pm
Announcements
You may attend as many or as few sections as you like, but please turn in your homework to your assigned TFs dropbox
APMTH 21a Problem Set 2
Due on Friday, September 19, 2014, before 5pm
Announcements
You may attend as many or as few sections as you like, but please turn in your homework to your assigned TFs dropbo
APMTH 21a Problem Set 6 Solutions
Due on Friday, October 24, 2014, before 5pm
Announcements
This weeks problem set looks shorter than usual since it has ten problems instead of
fteen, but youll likel
Miscellaneous Integrals (Answers)
Instructions: For each of the following, you should be able to perform each of the integrations and
dierentiate the result to get back to the original integrand witho
APMTH 21a Problem Set 4 Solutions
Due on Friday, October 10, 2014, before 5pm
Announcements
You may attend as many or as few sections as you like, but please turn in your homework to your assigned TF
Applied Mathematics 21a
Mathematical Methods in the Sciences
MWF 11:00am
Northwest Labs B103
Course Description
This class discusses the extension of the single-variable calculus that you have learned
APMTH 21a Problem Set 3 Solutions
Due on Friday, September 26, 2014, before 5pm
Announcements
You may attend as many or as few sections as you like, but please turn in your homework to your assigned
APMTH 21a Extra Credit Project
The goal of the extra credit project is for you, in teams of 2 - 4 students, to focus in more
depth on a topic of linear algebra and/or dierential equations that we have
APMTH 21a Problem Set 1 Solutions
Due on Friday, September 12, 2014, before 5pm, in Pierce 307B
Announcements
Sections and oce hours begin this Sunday, Sept. 7. Be sure to enter your section
preferen
APMTH 21a Problem Set 4
Due on Friday, October 10, 2014, before 5pm
Announcements
You may attend as many or as few sections as you like, but please turn in your homework to your assigned TFs dropbox
APMTH 21a Problem Set 6
Due on Friday, October 24, 2014, before 5pm
Announcements
This weeks problem set looks shorter than usual since it has ten problems instead of
fteen, but youll likely need to
APMTH 21a Problem Set 8
Due on Friday, November 14, 2014, before 5pm
Problems
Read sections 12.7 - 12.8, 13.1 - 13.2 of the text, Multivariable Calculus: Concepts and
Contexts, 4th edition, by James S
APMTH 21a Problem Set 7
Due on Friday, October 31, 2014, before 5pm
Announcements
The second midterm will be on Thursday, November 6, at 7:30pm, in Geological Museum 100. Because of limited seating i
APMTH 21a Problem Set 9
Due on Friday, November 21, 2014, before 5pm
Announcements
This is the last graded homework of the semester! Material from 13.6 onwards will
appear on an ungraded homework 10.
APMTH 21a Problem Set 1
Due on Friday, September 12, 2014, before 5pm
Announcements
Sections and oce hours begin this Sunday, Sept. 7. Be sure to enter your section
preferences on the website by 5pm
APMTH 21a Problem Set 3
Due on Friday, September 26, 2014, before 5pm
Announcements
You may attend as many or as few sections as you like, but please turn in your homework to your assigned TFs dropbo
APMTH 21b Homework 3
Due: February 20, 2013 at 5pm
1. Let
A=
2 0 1
7 5 1
1 2
3 5
5
,B =
,C =
,D =
,E =
4 5 2
1 4 3
2 1
1 4
3
Compute each matrix sum or product if it is dened. If an expression is unde
Applied Mathematics 21b
Mathematical Methods in the Sciences
MWF 1:00pm
Northwest Labs B103
Course Description
Engineering and the sciences rely heavily on many mathematical topics and techniques. In