Name:
Arts Sci 1D06
N.B. You should
also do questions 7
and 8 from
assignment #7.
Winter 2012
Assignment 13
Material covered: Sections 7.1, 7.2, 7.3, 7.4.
1.
Show that the function y =
1 + (y )2 . Does y =
1x
2 (e
1x
2 (e
+ ex ) satises the dierential equ
Joint A&S 1B06/1D06 topic
references
(1) Do CT scans, or other types of medical exams, such as mammograms or x-rays increase
cancer risks? Do these sorts of test do more harm than good in the long run? [reference:
http:/www.slate.com/articles/double x/dou
Arts & Science 1D6 Test #2
Day Class
Test #2
Duration of test: 60 minutes
McMaster University
1 March, 2011
Dr. Matt Valeriote
Last Name:
Initials:
Student No.:
Your TAs Name:
This test has 8 pages and 7 questions and is printed
on BOTH sides of the paper
In this paper, we describe the mode of inheritance for three genes in drosophila.
The three genes being studied are eye colour, wing length, and bristle type. These genes
are located on chromosome 1 (the X chromosome in drosophila), and are arranged in th
A Ghost in Your Genes
Angelman: jerky movement when they walk, mentally delayed, always seem
happy
o Caused by deletion in chromosome 15
This deletion was also associated with Prader Willi
o Have an insatiable appetite
What really mattered was who the ch
Results
From Figure 1, it can be seen that the average anthocyanin concentration
increases in the leaves of Arabidopsis plants that are phosphate or nitrogen-starved
compared to those of plants grown in soil of regular nutrient levels (control). It was se
Math 0430
Homework #10
Sec. 6.2: #4: (a) Let [a]n denote the congruence class of the integer a modulo n. Show that the
map f: Z 12 Z 4 that sends [a]12 to [a]4 is a well-defined surjective homomorphism.
Proof: Let [a]12 = [b]12. Then 12|(a - b), so 4|(a -
What You Didnt Know About Hanseletta and Gretel
Scene 1
In the witchs kitchen
Cam: Gretel, can you check to see if the oven is warm enough?
Gretel: Sure
Cam: (tries to put Gretel in the oven)
Gretel: (frees her sister)
Scene 2
Everyone is screaming, light
Foundations I: Introduction & History
Outline the philosophical roots of psychology
Structuralsim: knowledge through reduction into elements
Functionalism: emphasizes the purpose of processes.
Empiricism: knowledge through observation
Rationalism: pur
February 12th , 2013
Arts & Science 1D06 Quiz #8
Solutions
1) [4 marks] Match each dierential equation with its direction eld:
1.
dy
=yx
dx
2.
dy
= 4y (1 y )
dx
3.
dy
2
= ey /4 sin(y )
dx
A. 4
B. 2
C. 1
D. 3
4.
dy
= y (1 + x)
dx
2) a) [2 marks] State the
Course Calendar
Subject to change throughout the semester.
Week
Topic
Work to do
this week
Remarks/ topic of Tuesday lecture
Week 1 Jan 7 5.3, 5.4: definite integrals and the fundamental
- 11
theorem
Assignment
10
Lectures this week given by Dr
Valeriote
A & S 1D06
Calculus for Arts and Sciences
Winter term 2013
The course structure continues as in Term 1. A course calendar is given below. The
schedule of coverage of material and assignments may vary from the original plan (as
given in the courseware pack
McMaster University Arts and Science Winter 2013
Final Exam PRACTICE version
Duration: 3 hours
Instructor: Dr. D. Haskell
Name:
Student ID Number:
This test paper is printed on both sides of the page. There are 12 question on 12 pages. You
are responsible
McMaster University
Drs Deirdre Haskell & Matt Valeriote
Winter 2013
http:/www.math.mcmaster.ca/~haskell/a&s1d_12-13/a&s1d-webpage.html
Front cover:
Tile pattern from Alhambra Palace, Granada, Spain
2011 by Miroslav Lovric
Table of Contents
Calendar . 3
Linear Differential Equations
A rst-order linear differential equation is one that can be put into the form
dy
dx
1
Pxy
Qx
where P and Q are continuous functions on a given interval. This type of equation occurs
frequently in various sciences, as we will
THE METHOD OF U-SUBSTITUTION
The following problems involve the method of u-substitution. It is a method for
finding antiderivatives. We will assume knowledge of the following well-known,
basic indefinite integral formulas :
1.
2.
3.
4.
, where a is a con
A35 3 Winter 2013 Final Exam
1) [10 points]
00
a) State the Integral Test for convergence of the series 2 an.
b) State the Fundamental Theorem of Calculus Part I.
é q1t£\1+l "- Cal.
EL
33.
13
Q.
Ix)
HM
:2.
.H
I
r"_")
l.-
)2
V:
1/
(s)
II
M"
9Q
I
5.2]
Chapter 14: Eukaryotic Chromosomes, Mitosis, and Meiosis
14.1 Chromosomes Structure and Function, and the Cell Cycle
Most eukaryotic cells are only 10 to 100 um in diameter, cell nucleus is only 24um
Typical chromosome contains a single linear double-st