222 8.7
In this section were dealing with borderline integrals: Rintegrals that have problems be
cause of the boundaries. Heres the most obvious example: 1 x12 dx. The problem, obviously,
is with the upper bound. How to deal with it? (1) How do we always
222 8.6
A lot of this needs to be wrapping up lab 18. (1) Draw a generic looking function (like
the one in lab - rising and falling) from x = a to x = b. Divide it into some equal base
subintervals (like the picture in lab). Make it an even number of subi
No notable wrap-up from Lab 21, aside from the obvious - make sure you know the limit
comparison test.
222 10.5 In fact, I want to go back to Lab 20, instead. There we focused on geometric
P
series. There I hope we found that
arn converges when |r| < 1 an
222 8.1
Our wrap up of lab 17 will take a while. Heres a key: 1 - 8.4, 2 - 8.1, 3 - 8.1, 4 - 8.2,
5 - 8.1 or 8.2, 6 - 8.4, 7 - 8.1. You probably notice lots of 8.1 here. Lets get started.
Remember where we begin. Before this chapter you have two possible
Before we get to new material, lets wrap up a the important parts of Lab 19. (1)
k
Generalising one step further, what is limn nan ? (2) 3c from lab - what are the possible
limiting behaviours of rn , and for which r do they occur?
222 10.2
Lets go back t
222 10.7 Its been a while, but recall the original motivation in Lab 22, and somewhat
ironically, in 10.8. We were looking for polynomials to represent functions. And, at least
with ex we found that polynomials werent quite enough. We needed infinite poly
222 8.4
To get us started today, (1) please find a common denominator and write this as one
fraction:
5
4
3
1 + 2x
+ 2+ 2
+
x x
x +4 x2
That exercise should sound familiar. It should be the kind of thing you did in high school
classes before calculus. A r
Welcome to Biol. 117 01
Instructors: Drs. Spear and ODonnell
Review today in Newton 203 at 3:30
Where to begin? Chapter 1 introduces the
reader to the themes of the book, one of which
is the hierarchy of life: life can be organized into
a hierarchy of str
Lecture 5, 9-11-15
Dr. John Keene, a Geneseo alum and an oral surgeon will be
speaking on Friday, 9-11-15. He has come before and always gives an
entertaining and informative talk dealing with his practice and successful
practices for getting into medical
Lecture 3
9-4-15
Another example of cohesion is the surface
tension of water, a measure of how hard it is
to break the surface of a liquid
B. Moderation of Temperature by Water
Waters High Specific Heat means that its resists
temperature changes when it
Chapter 6 Thermochemistry 6.1-6.5
6.1 Chemical Hand Warmers
Hand warmers: Oxidation of iron
4Fe(s) + 3O2 (g)
heat
2Fe2O3(s)
Exothermic reaction
6.2 The Nature of Energy
Nature of Energy
energy
_
is anything that has the capacity to do work
work
_
is a for
222 10.4 Were continuing our work with series with positive terms. This is going to be
a silly beginning, but bear with me. Consider driving, on a one lane road (with no shoulder),
and you cant go backwards.
(1) If you are driving behind a bus, and the bu
Before we get to new material, lets wrap up the important parts of Lab 20. First consider
P
ark . To be clear, write out the first 4 terms of this series. (1) What is
geometric series
k=0
the first term? (2) How do you get from one term to the next? Like
222 11.3
Here we will start thinking about a new coordinate system. This is technically a special
case of parametrisation, but it is a very important and useful case. Why do we need new
coordinates? Whats wrong with the old ones? Well, they work out great
222 10.1
We saw that sometimes we need to be careful with infinity. Weve seen that before, and
in chapter ten it will be demonstrated more clearly, too. We are eventually heading for
infinite polynomials. These are infinite sums. How will we get to infini
Monday,
Oct 19
4:305:20PM
Newton 202
Biol 116
General
Biology Lab
Biology Department Seminar
Friday, Oct 23rd, 2:30-3:30 pm in Newton 214
What you Knead to Know About
Gluten
Dr. Matthew Schoell
Geneseo Alum
Program Director of Clinical
Laboratory Sciences
BIOSTATISTI
CS
Biol 116
Monday, October 5th , 2015
The process of gathering,
summarizing, and interpreting
numerical data.
in biology.
QUIZ
100% about performing statistical tests
1) Types of statistical hypotheses (H, H o, Ha).
2) Data normality and tes
222 8.3
One of the main reasons we did all that work with trigonometry in 8.2 is that frequently it
is valuable to introduce trigonometry into integrals without trigonometry in order to simplify
them. Reread that sentence. It Rshould Rsurprise you. Howeve
Chapter 9 Chemical Bonding I: Lewis Theory 9.1-9.6
9.1 Bonding Models and AIDS Drugs
HIV Protease: critical to cause AIDS
Bonding theory helps to develop drugs to destroy the working sites of HIV Protease.
We examine the bonding model developed by G. N. L
222 7.4
And now for something completely different. Good news - were done with the most
abstract part of the course, just a few things remaining here.
Its been a while, so lets consider an application. For uncontrolled simple growth (like
bacteria with pl
222 11.4
Not a lot of wrap-up for Lab 24. We saw some polar graphs. They are nice. We will see
some more here, and then finally, for our last worksheet, we will do some calculus with them.
But, thats not where we are today. Because we dont have as much to
222 10.8
In chapter 8 we learned, if nothing else, that integration is difficult, in fact, sometimes
impossible. What if we could instead just integrate polynomials? Theyre great and easy to
work with. It turns out that in most situations we can: in lab 2
222 11.5
This is our very last section. (You probably knew that.) And we get one more visually
compelling argument out of our polar coordinates. Filling in our calculus with polar coordinates, we have area left. To approach area we will think back to how
222 10.6 We saw a little bit of alternating series in Lab 20. In fact, although we have
repeatedly focused on series with all positive terms (in the integral test, and the comparison
tests), alternating series are even more special than all positive serie
Chapter 4
Chemical Quantities and Aqueous Reactions 4.1-4.9
4.1 Global Warming and the Combustion of Fossil Fuels
4.2 Reaction Stoichiometry
Using Balanced Chemical Equations:Stoichiometry
Stoichiometry tells:
1. How much products will be formed
2. How mu