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 April 6, 2016 Discussion meeting TIME and TA
MATH 240- Exam 2
Write your name and your discussion 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

Section Number
MATH 240 FALL 2015 Exam 2
Write your name and our section number or TA name/discussion time on this a e and each answer sheet.
No calculators or audio devices are allowed. You are allowed a letter size (8.5x11 in) formula sheet,
handwritt

Suggested Problems
Section 13.3 Questions:
From your assigned textbook: p. 844 numbers 9; 13;17; 23; 63
1. Let f (x, y) = x cos xy. Find fx . (This will require you to use the product rule from
page 863 in your textbook.)
Reading Assignment
Read section 1

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

MATH 240 Spring 2013 Exam 2 Solutions
No proof is needed for TRUE-FALSE questions; just write clearly. You may assume given matrix expressions
are well defined (i.e. the matrix sizes are compatible).
1. (a) Below are a
22
4
A =
14
0
15
matrix A and the m

NAME_
Section Number_
MATH 240 FALL 2015- Exam 2
Write your name and your section number or TA name/discussion time on this page and each answer sheet.
No calculators or audio devices are allowed. You are allowed a letter size (8.5x11 in) formula sheet,
h

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
jacques@ucsd.edu
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:
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)