Mathematics Learning Centre, University of Sydney 9
3 How do we nd derivatives (in practice)?
Differential calculus is a procedure for nding the exact derivative directly from the for
mula of the function, without having to use graphical methods. In pract
THE P VERSUS NP PROBLEM
STEPHEN COOK
1. Statement of the Problem
The P versus NP problem is to determine whether every language accepted
by some nondeterministic algorithm in polynomial time is also accepted by some
(deterministic) algorithm in polynomial
Unit 2: Periodic Table Review
1. Which two characteristics are associated with metals?
A. low first ionization energy and low electronegativity
B. low first ionization energy and high electronegativity
C. high first ionization energy and low electronegati
Presentation Communication: Persuasive Speech Project - Outline
Instructions:
1. Complete the OUTLINE for your Speech. (Answers MUST be in complete sentences)
2. Prepare NOTE CARDS (3x5 or 4x6) to deliver your speech. (Duration 2-3 Minutes)
Outlines: Pers
Units 1-2 Review Questions
1.
What is geography?
2.
What are the four components of physical geography?
3.
What does absolute location need?
4.
What does latitude look like when it is drawn on a globe?
5.
What does longitude look like when it is drawn on
Unit 3 Review Questions
1. What is a projection?
2. Why are projections needed?
3. What are the four types of distortions a map may have?
4. Describe the different map projection families.
5. What is the classic use of each projection family?
6. What is a
CSC 120 - Lab 5 Spring 2016
In this lab we will be writing a program, using a class with only a main method (i.e. it is a flavor 1 class that
provides a service via the main method). This program will keep asking a user (with a JOptionPane inside of a
loo
Lists and Object-oriented Programming
Step by Step
Phase 1:
Create and code driver program file: WorkingWithBooks.cpp for the Book class.
Task 1.1:
In Visual Studio, create a new console application project (empty).
Step 1.1.1:
books).
Step 1.1.2:
code:
N
Name: _ Team: _
This Lab is in preparation for Exam 1. You must close your computer and cannot use your book.
You are permitted, however to use your practice test where there is a fill-in-the-code section you
can use for hints. I will collect these from i
CSC 231
Introduction to Data Structures and Algorithms
Quiz 1 Take Home Quiz
Watch any four c+ console lessons from Unit 1
C+ Console Lesson 1: Creating a Console Application in VS 2012
C+ Console Lesson 2: Basic Input and Output
C+ Console Lesson 3: Basi
Project 1
Searching, Sorting, and Big O Analysis
This is an individual assignment. You will have lab time to work on this assignment as well as
homework time.
Part I Searching
Modify LinearSearch.cpp and BinarySearch.cpp to display their respective arrays
P Jones
Math 125-101
Name: _
Quiz 7: Derivative Rules (section 3.3)
Compute the derivative of the following functions using the power, product and quotient rules. (No
credit will be given for using the chain rule)
g ( x ) =2 x7 .2 +e 2 8
x
f ( x )=4 e
f (
Spring 2016 - CSC 120 Program 3
You are to create a java class file called Program3 that will have your main method in it. This program will require you
to implement class the CatalogItem, to add code to the provided shell for the main method, and to impl
CSC 231 Datastructures and Algorithms
Midterm Vocabulary
Part 1: Terms
http:/xlinux.nist.gov/dads/
http:/www.vuzs.info/extra-notes/53-cs301-data-structure-extranotes/5092-cs301-data-structureglossary.html
Unit 1: C+, Search, Sort, Big O
Algorithm: A compu
Linear Algebra I
Test 1 Solutions
1. (a) Show that the set of vectors of the form
February 15, 2007
a
, where a is an integer, is not a
b
subspace of R2 .
This set is not closed under scalar multiplication. For example,
1
=
, which does not have an intege
Linear Algebra I
Worksheet 3 Solutions
February 6, 2007
1. [12 pts] Let L : R4 R4 be the linear transformation dened by
ab
a
b 0
L =
c c d .
0
d
(a) Show directly that L is linear.
We first show that L(u + v) = L(u) + L(v). To this end we have
a
Linear Algebra I
Worksheet 1 Solutions
January 23, 2007
1. [6 pts] Use Gaussian elimination to solve the following linear system:
x + y + 2z = 1
x
+z =2
2x + y + 3z = 1
Beginning with the corresponding augmented matrix,
the following elementary row reduct
Linear Algebra I
Test 3 Solutions
April 19, 2007
1. Prove the Pythagorean theorem: If u and v are orthogonal, then
u+v
2
= u
2
+ v
2
.
Note that
u+v
2
= u + v, u + v = u, u + 2 u, v + v, v
The fact that u and v are orthogonal means that u, v = 0, so
that
Linear Algebra I
Final Exam
Name:
December 13, 2004
OUID:
Instructions: No calculators allowed. For full credit be sure to show all of your work
and indicate your answer clearly. Unjustied answers will not receive any credit. Each
problem is worth a total
Linear Algebra I
Test 2 Solutions
March 15, 2007
1. Let L : P2 P2 be dened by L(at2 + bt + c) = (2a c)t2 + (a + b c)t + (c).
(a) Find the matrix representation for L with respect to the basis (on both sides)
S = cfw_t + 1, t2 + t, t2 + t + 1.
We first plu
Linear Algebra I
Worksheet 5 Solutions
February 27, 2007
1. [9 pts] You are given the following vector and two ordered bases for R3 :
0
0
1
0
7
1
2
0 , 1 , 1
1 , 0 , 1
1
S=
T =
v=
1
2
3
0
3
0
9
(a) Find the coordinate vectors [v]T and [v]S direc
Linear Algebra I
Worksheet 6 Solutions
March 6, 2007
1. Consider the following bases for R2 and R3 :
1
1
,
2
1
0
1
1
T = 1 , 1 , 0
0
1
0
S=
1
1
,
1
0
0
0
1
T = 1 , 1 , 0
1
1
1
S =
and note that the transition matrices are given by
PSS =
2/3 1/3
1
Linear Algebra I
Worksheet 11 Solutions
1. Compute eA , where A =
May 3, 2007
1 1
2 4
We first compute eigenvalues, finding that
det
1
1
= (1 )(4 ) + 2 = 2 5 + 6 = ( 2)( 3).
2 4
So the eigenvalues are = 2 and = 3.
e2 = 2a1 + a0
e3 = 3a1 + a0
;
We now sol