Math 128A, Spring 2016
Problem Set 08
Question 1 (a) For arbitrary real s find the exact solution of the initial value problem
y 0 (t) =
1
y(t) + y(t)3
2
with y(0) = s > 0.
(b) Show that the solution
UC Berkeley Math 128A, Spring 2016
Problem Set 09 SOLUTIONS
Question 1 The position (x(t), y(t) of a satellite orbiting around the earth and moon is described by the
second-order system of ordinary di
Math 128A, Spring 2016
Programming Project 02
For the following two problems, write and debug MATLAB codes and make sure they run
with the test autograders from the course web page. Test them thorough
2 Consider the iteration
xn+1 =
x3n + 3axn
.
3x2n + a
(a) What is it intended to compute? (b) Given a = 2 and x0 = 1,
compute x1 and x2 . (c) Define and determine the order of convergence of
this iter
3. A)
function [t,w]=idec(f,dfdy,a,b,ya,p,maxiter,tau)
% a,b: interval endpoints with a < b
% ya: vector y(a) of initial conditions
% f: function handle f(t, y) to integrate (y is a vector)
% p: numbe
Math 126 Homework 11 (Due Monday Nov 23)
1. In this question, you will construct a test function that is positive on the interval (1, 1)
and vanishes outside of this interval. Recall a test function m
MATH 128A Quiz 1
September 4, 2015
Name:
And now these three remain: faith, hope and love. But the greatest of these is love.
Problem 1. Circle True or False.
a. True or False If f (x) is continuous a
Math 128A, Spring 2016
Question 1
Problem Set 02
Show that oating point arithmetic sums
n
1
1
1
1
= 1 + 2 + 2 + + 2
k2
2
3
n
sn =
k=1
with accuracy O(n) from left to right, while summing from right to
Homework set Module 2
Fundamentals of Machine Learning and Data Analytics
IEOR290 Sec. 4 Spring 2016
Due Thursday, February 11th at 11:59pm (post pdf on bCourses)
Work individually on this problem set
Homework set Module 1
Fundamentals of Machine Learning and Data Analytics
IEOR290 Sec. 4 Spring 2016
Due Tuesday, February 2nd at noon (post pdf on bCourses)
Work individually on this problem set
1. P
Problem Set 5 Solutions
Question 1
(a). Rewrite f (x) = 2x = e(log 2)x , so the nth derivative of f (x) is
f (n) (x) = (log 2)n e(log 2)x = (log 2)n 2x .
(b). There are many ways to do this problem, i
Name; 3 0 WW
Name
1a
1b
2a
2b
20
3a
3b
4b
Total
Page 1 of 10 Name: GSI:
(1a) Suppose a3" is a sequence of real numbers deﬁned by x0 = 1 and
1
xn+1 = 2910,1 — 5.23% =
Assume can —> a: for some as as
Math 128A, Fall 2016.
Homework 1, due Sep 7th.
Prob 1. Show that if k k is a vector norm and A is a non-singular matrix, then x 7 kAxk is a(nother)
vector norm. What happens if A is singular?
Prob 2.
Problem Set 1
Econ 141 Fall 2017
Suggested Solutions
September 7, 2017
1. We solve the problem by first finding the marginal density of W . We know that its
conditional density is normal
f (w | z) = p
Stat 155: Final guide
Topics:
Two person general-sum games
We covered this from KP: Chapter 4, sections 4.1-4.3
Please make sure to review the examples in this chapter.
You need to know that there
MATH 104 - WEEKLY ASSIGNMENT 1
DUE 1 SEPTEMBER 2017, BY 11:00
Exercises 1,2,3 that follow have been ordered so that you can use the previous properties to
prove the next. You can of course prove them
ECON 141: Econometrics
Fall 2017
August 23, 2017
Instructor and GSI:
Professor: Demian Pouzo
Office Hours: W 1:10pm-3:00pm. (Please, send an email to schedule a
precise time).
Office: Evans Hall 66
ECON 141: Econometrics (Fall 2017)
Handout 1
Demian Pouzo
Dept. of Economics
UC Berkeley
August 23, 2017
Course Policies and Details
I
My background.
I
Class slides & course website.
I
I
I
Slides will
5/65F/5 FINA-L 2
-: EXAM KEY
1. For the following problem, you do not need to use induction to justify your
answer. it is enough to sufciently develop
the pattern of the SpraguevGrnndy function so
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Stat 155 Summer 2017: Solutions to Homework 5
Problem 1
Suppose there are seven voters with the following preferences over three candidates. Answer the
following questions
1
z
x
y
2
z
x
y
3
x
y
z
4
x