Laws and Regulations
science, tech
Reading: pp. 19-21, 214-215, 334, 409-410, 438-440, 462464, 515, 526-529, 610, 630-641
Provide the constraints under which EEs design and
operate pollution control systems
They are continually changing
Federal, state
General Chemistry Review:
p. 32-39
Periodic Table, Units of Concentration & Balancing Simple Reactions
A. Periodic Table
First proposed in 1864 by J.A.R Newlands (English chemist)
- Known
elements in terms of increasing
atomic mass
- Horizontal rows of 7
Engineering Math IV: DiiTerentiai Equations (Eh/1:034)
Practice Midterm 2 with Solutions, by Instructors of M34, Fall, 2014
1. Find the general solution to the equation y 2,7," -l- 2y : 0.
S olutlon. The characteristic equation of this constantcoefcient l
MATH:2650 Fall 2014 First Exam Practice Problems
1. Solve the initial value problem
dy
+ 2y = e2t , y(0) = 2 and evaluate lim y(t) for the solution y(t).
t
dt
2. Use the substitution u = y x to write the differential equation
dy
1
=
+ 1 as a separable dif
Engineering Math IV: Dierential Equations (22M:034)
Practice Midterm 2 without Solutions, c by Instructors of M34, Fall, 2014
1. Find the general solution to the equation y 00
2. Solve the initial value problem y 00
2y 0 + 2y = 0.
y = 0 with y(0) = 2 and
Student: Yu Cheng (Jade)
Math 475
Homework #3
March 1, 2010
Section 4.6
Exercise 36-a
Let be a set of elements. How many different relations on are there?
Answer:
On set with elements, we have the following facts.
Number of two different element pairs
Num
Homework 7 Solutions
1. In walking from work back home at the end of the day, Grigor must travel six
blocks east and four blocks south. How many possible routes can he take, assuming
that he goes either east or south at each intersection? How many routes
Week 9-10: Recurrence Relations and Generating
Functions
March 31, 2015
1 Some number sequences
An infinite sequence (or just a sequence for short) is an ordered array
a0 , a 1 , a 2 , . . . , a n , . . .
of countably many real or complex numbers, and is
Massachusetts Institute of Technology
6.042J/18.062J, Fall 05: Mathematics for Computer Science
Prof. Albert R. Meyer and Prof. Ronitt Rubinfeld
Course Notes, Week 11
November 16
revised November 23, 2005, 700 minutes
Generating Functions
Generating funct
Student: Yu Cheng (Jade)
Math 475
Homework #1
January 20, 2010
Section 1.8
Exercise 1:
Show that an -by- chessboard has a perfect cover by dominoes if and only if at least one of
and is even.
Answer:
Step 1. Suppose one of and is even and the other one i
MATH:4050: Introduction to Discrete Mathematics.
Homework 1 due 09/02/16.
1. Prove that an m-by-n chessboard has a perfect cover by dominoes if and only if at
least one of m and n is even. (Note that this is an if and only if statement, you need
to prove
MATH:4050: Introduction to Discrete Mathematics.
Homework 2 due 09/09/16.
1. What is the minimum number of students required in a discrete mathematics class to
be sure that at least seven will receive the same grade, if there are five possible grades,
A,
Jeff Maxey
Operation: Internet Freedom
Censorship of the Internet, also known as filtering, has been a rising controversy across
the world for over the past decade. The Internet is a public common that is used all across the
world. Vast amounts of people
22M:034:112 Quiz 6 '
Duration of quiz: 10 minutes.
12th October 2011
Calculators, books or formula sheets are NOT allowed.
Name: SOFquoll§
1. Use the method of variation of parameters to nd a particular solution to the
differential equation:
y 5g," +