31 August 2008
Calculator amnesty over!
09/04/2008 13:38 Filed in: Nuts and
Bolts
This is a reminder that amnesty for a non-graphing
calculator is over.
If you come to the quiz tomorrow with a graphing calculator, you will be asked to put it away. Make sure, if you need a calculator, that it is a non-graphing calculator.
If you come to the quiz tomorrow with a graphing calculator, you will be asked to put it away. Make sure, if you need a calculator, that it is a non-graphing calculator.
Quiz #2 Friday!
09/04/2008 13:37 Filed in: Tests and
Quizzes | Nuts and
Bolts
Quiz #2 will happen during the last 20 minutes of
class tomorrow. It covers Sections 1.7, 1.8 and 2.1.
Take it to the limit one more time ...
09/04/2008 13:35 Filed in: Lectures
This will be short due to pressing time constraints!
Today in 121, we looked at the ways limits can screw up. These include the presence of jumps in the graph, vertical asymptotes, and too much oscillation. We could also have a limit not exist if the left-hand and right-hand limits both exist at our point but don't agree. Then we began talking (as briefly as possible) about the formal definition of a limit.
Tomorrow we will finish our look at the formal definition of limit and prove the existence of a couple of easy limits. Then we'll start talking about "limit shortcuts and rules." You'll have earned it by then.
Today in 121, we looked at the ways limits can screw up. These include the presence of jumps in the graph, vertical asymptotes, and too much oscillation. We could also have a limit not exist if the left-hand and right-hand limits both exist at our point but don't agree. Then we began talking (as briefly as possible) about the formal definition of a limit.
Tomorrow we will finish our look at the formal definition of limit and prove the existence of a couple of easy limits. Then we'll start talking about "limit shortcuts and rules." You'll have earned it by then.
Sneaking up on limits ...
09/04/2008 07:25 Filed in: Lectures
We spent today talking more about limits. We showed
how to make tables of function values as we approach
a particular x-value of interest. We noted
that for the polynomial, we could have just
substituted the x-value of interest and
gotten the right limit value. It turns out that this
approach always works for limits involving polynomial
functions.
We can often try the same technique on limits for rational functions, as long as we stay away from "bad" x's. If we approach an x-value that makes the denominator zero, our only hope is to factor the numerator and denominator of our rational function and hope for some cancellation. If we cannot both factor and cancel, the limit will either not exist or be infinite.
Thursday, we'll talk about the ways limits can screw up and the formal definition of limit. We'll also prove the existence of a couple of easy limits. See you then.
We can often try the same technique on limits for rational functions, as long as we stay away from "bad" x's. If we approach an x-value that makes the denominator zero, our only hope is to factor the numerator and denominator of our rational function and hope for some cancellation. If we cannot both factor and cancel, the limit will either not exist or be infinite.
Thursday, we'll talk about the ways limits can screw up and the formal definition of limit. We'll also prove the existence of a couple of easy limits. See you then.
Final exam time set
09/03/2008 07:25 Filed in: Tests and
Quizzes | Nuts and
Bolts
Our final exam has been set for Sunday,
December 14th, from 7:00 to 9:30 pm in Dewey
309. The exam will be cumulative.
Math help sessions open
09/03/2008 07:21 Filed in: Nuts and
Bolts
From the Learning Support Center ...
Need help in your math classes? Math help sessions start Tuesday Sept. 2! Qualified peer tutors are ready to help you out in almost any level math class. Math help sessions are available every night, except Friday and Saturday, from 7-10 p.m. Math help sessions will be held in Partridge 128. Help sessions are free and require no appointment -- just drop in with questions or hang out and do your homework! Contact Ted Ingham at the Learning Support Center (fourth floor Kreitzberg Library, ext. 2131, ringham@norwich.edu) for more information.
Help session help will be posted to the Get Assistance page of my.norwich.edu.
Need help in your math classes? Math help sessions start Tuesday Sept. 2! Qualified peer tutors are ready to help you out in almost any level math class. Math help sessions are available every night, except Friday and Saturday, from 7-10 p.m. Math help sessions will be held in Partridge 128. Help sessions are free and require no appointment -- just drop in with questions or hang out and do your homework! Contact Ted Ingham at the Learning Support Center (fourth floor Kreitzberg Library, ext. 2131, ringham@norwich.edu) for more information.
Help session help will be posted to the Get Assistance page of my.norwich.edu.
Quiz 2 Friday
09/03/2008 07:10 Filed in: Tests and
Quizzes | Nuts and
Bolts
This is a reminder that Quiz #2 happens this Friday,
September 5th, toward the end of class.
Finishing up Week 1
09/03/2008 07:07 Filed in: Lectures
Today was the end of the "review period." We answered
some questions on the homework from Section 1.6 and
then began talking about the difference between
algebraic functions and
transcendental functions. Two
types of transcendental functions are the
exponential and the logarithmic functions. These
are discussed in Section 1.7. We reviewed the
relevant properties of each.
We then briefly recalled the trigonometric functions. We recalled the SOHCAHTOA version of sine, cosine, and tangent, and then expanded to the unit circle. Using the circle, we were able to show the periodic properties of sine and cosine.
On Wednesday, we move into Chapter 2, talking about limits of functions.
We then briefly recalled the trigonometric functions. We recalled the SOHCAHTOA version of sine, cosine, and tangent, and then expanded to the unit circle. Using the circle, we were able to show the periodic properties of sine and cosine.
On Wednesday, we move into Chapter 2, talking about limits of functions.