STAT401 0101: Applied Probability and Statistics II
Written Assignment 6 (25 points)
10/17/15
Solutions to be returned by the beginning of lecture on Friday, 10/23.
1. (4 marks) A spectrophotometer used for measuring CO concentration [ppm (parts
per milli
Name:
MATH241: Section 13.5 & 13.6 Practice
1. Find the directional derivative of f (x, y) = y cos(xy) at the point (0, 1) in the
direction = 4 .
2. (a) Find the gradient of f (x, y, z) = y 2 exyz .
(b) Evaluate the gradient at the point P (0, 1, 1).
(c)
MATH 240 Spring 2011 Final Exam
CALCULATORS ARE NOT ALLOWED
TURN OFF ALL ELECTRONIC DEVICES
* THERE ARE QUESTIONS ON BOTH SIDES OF THIS PAPER *
Answer each question on a separate sheet of paper. Use the back side if necessary.
On each sheet, put your name
Math 240 Summer 2008 Exam 4 Name:
Directions: Do not simplify unless indicated. No calculators are permitted. Show all work as
appropriate for the methods taught in this course. Partial credit will be given for any work,
words or ideas which are relevant
%
% MATH 240 Fall 2016 Project 3
% Problem 1
%Problem 1 (a)
A=[1 -3 7;2 5 6;7 1 33];
rref(A)
rank(A)
%Problem 1 (b)
%The pivot positions of A are 1 and 5.
%Problem 1 (c)
%For a general m n matrix B with k pivot positions.
0im(nulB)=n-k, rank(B)=span of co
%
% MATH 240 Fall 2016 Project 4
% Problem 1
%Problem 1 (a)
A=[-8 -8 3;15 13 -5;15 10 -4];
A^2, A^3, A^4, A^5, A^6, A^7, A^8
%Problem 1 (b)
[P,D]=eig(A)
%Problem 1 (c)
%The pattern that emerges when we consider powers of D is that D=D^5=D^(4n-3),
%D^2=D^6
NAME Section
MATH 240 Spring 2016
Write your name and your TA name or section number on this page and each answer sheet. To receive full
credit, show work. No calculators or audio devices are allowed. You are allowed a letter size (8.5xll)
formula sheet.
MATH 240 SPRING 2017
What to turn in: For this project you will need to turn in a printout of your published m-file.
Use a YourName_MATH240_Proj2.m file to save your code in an .m file. Use the command
PUBLISH(FILE,FORMAT) (or similar) to publish your wor
MATH240 MATLAB PROJECT 1:
Due Th February 16, 2017
What to turn in: For this project you will need to turn in a printout of your published m-file.
At his discretion, your TA might choose to accept an electronic version of your file clarify this on
Tuesday
MAT 240 Spring 2017
MATLAB PROJECT 4
Due 5/11/2017
The goal of this project is to explore the notions learnt in chapters 5, 6 and 7 (eigenvectors, eigenvalues,
eigenvectors and change of matrices, orthogonality, symmetric matrices, quadratic forms) using
MAT 240 Spring 2017
MATLAB PROJECT 3
DUE Th Apr 27, 2017
Last correction: Monday Apr 24
What to turn in: For this project you will need to turn in a printout of your published m-file.
Use the instructions about publishing from project 2. Publishing an htm
MAT240
Exam 2 Review Sheet
Spring 2017
The exam will cover the material we have discussed in class (lecture/discussion sections) and studied
in homework, from Chapter 3 (sect 3.1-3.3), Chapter 4 (sect 4.1-4.7,4.9). The following list points
out the most i
MATH 240
Exam 3 Review sheet
Spring 2017
The exam will cover the material we have discussed in class and studied in homework,
discussions and Matlab projects, from Sections 5.1- 5.5, and 6.1 - 6.6. The following list points
out the most important definiti
MATH 240 - Review Sheet for Midterm Exam 1
Spring2017
The exam will cover the material we have discussed in class and studied in homework, from
Chapter 1, and Chapter 2 (Sections 2.1 to 2.4). The following list points out the most important
definitions an
Suggested Problems
Section 13.5 Questions:
From your assigned textbook: p. 861 numbers 3; 7; 11
Section 13.6 Questions:
From your assigned textbook: p. 867 numbers 19; 23; 25 (answer is the gradient vector at
the given point); 27; 33; 34; 45; 51; 62; 63
R
STAT401 0101: Applied Probability and Statistics II
Written Assignment 8 (25 points)
10/31/15
Solutions to be returned by the beginning of lecture on Friday, 11/06.
1. (4 marks) Is someone who switches brands because of a nancial inducement less
likely to
Some examples of proof of divergence (problem 4, section 4.5)
(a) Proof that xn = 2n diverges (by contradiction).
Using = 1, suppose that 2n converges to L . If we choose N then the
contradiction lies in finding n > N such that |2n L| 1. By assumption, |2
Lecture 4
[email protected]
Key concepts: Limits, bounded, convergence, divergence, infinite series, partial
sums, monotone, monotone convergence theorem
4.1
Comparison Theorem
A sequence (an )nN is convergent if it has a limit and divergent otherwise. A s
Solutions to Homework #02 MATH 4310
Kawai
Section 2.1
(I) Exercise #1abcd. If it is true, then prove it using the theorems in this section. If it is false,
give a (simple) counterexample.
(a) If the sequence a2 converges, then fan g must also converge. FA
Math 104 Section 2
Midterm 1 Solutions
September 25, 2013
Name:
Complete the following problems. In order to receive full credit, please provide rigorous
proofs and show all of your work and justify your answers. You may use any result
proved in class or
MATH461 Linear Algebra for Scientists and Engineers
Review Material
Test 1 will cover the material we have discussed in class and studied in homework, from
Chapter 1. The following list points out the most important definitions. Note that when
a computati
Math461 Practice Test 1
Prof. Konstantina Trivisa
Fall, 2016
Problem 1. (30 points)
1
4
5
0
Let A =
and b =
.
2
1
8
9
Is the system Ax = b consistent? If yes, express the solution of this system as the sum of a
particular solution plus the solution of t
MAT240
Exam 2 Review Sheet
Spring 2016
The exam will cover the material we have discussed in class (lecture/discussion sections) and studied
in homework, from Chapter 2 (sect 2.3), Chapter 3 (sect 3.1-3.3), Chapter 4 (sect 4.1-4.6), Chapter 5
(sect 5.1-5.
Spring 2013 - Math 461
Midterm #2 - April 1st
Write your name and section number on every page. (You only need to write and sign
the honor pledge on the first page).
This exam has 4 questions. Do each question on a different answer sheet.
Show enough w
NAME_
Discussion meeting TIME and TA _
MATH 240- Exam 3
Write your name and your section leader and meeting time on this page and each answer sheet.
No calculators or audio devices are allowed. You are allowed a letter size (8.5x11) formula sheet.
Answer