Calculus I

First Day Handout Homework Homework hints

Class List

Maple Labs

In Class Demos

Notebook Posted Grades Help Sessions

Announcements

12/19 Letter grades are now posted.  Good work everyone!
12/15 Grades to date have been posted.  Also, I will have additional office hours from 12 to 1 today and tomorrow if you have any questions.
Posted STUDY TIPS for the final exam.  The final exam will emphasize chapter 5.  You can find a practice test at:  chapter quiz.   In fact, this is probably one of the best places to study for all the chapters, since some multiple choice questions on the final will be very similar to these. Additional problems may be taken from the following drills: 

http://archives.math.utk.edu/visual.calculus/1/vertical.1/index.html

http://archives.math.utk.edu/visual.calculus/1/horizontal.3/index.html 

http://archives.math.utk.edu/visual.calculus/2/quotient_rule.3/index.html 

  http://archives.math.utk.edu/visual.calculus/2/chain_rule.4/index.html 

http://archives.math.utk.edu/visual.calculus/3/implicit.4/index.html 

  http://archives.math.utk.edu/visual.calculus/3/logdiff.1/index.html 

   max/min, derivatives and graphing, identifying functions and derivatives, L'Hopital's drill 1, L'Hopital's drill 2, antiderivatives, and antiderivatives with initial values.

It is too scary (and probably not even possible) to do every problem from every drill--just do one from each drill, and note which you are uncertain about, then go back and do a couple more of that type.  Do this as many times as you have time for.

There will also be a "delta-epsilon" problem, of much the same flavor as # 15 - 18 in section 2.4, a related rate problem, an optimization problem, a graphing problem (factored derivatives will be given), and a proof of the derivative of some (possibly hyberbolic) trig function or its inverse.  These 5 questions will be worth more than the multiple choice questions.

NO GRAPHING CALCULATORS!!!  You will be sent out of the exam until you find a non-graphing calculator!

Note:  You may have FOUR sheets of notes, front and back, as usual.  However, in addition, you may bring photocopies of the flyleaves of your text (two pages from the front of the book, four from the back) to use during the test.

Ps--don't forget the portfolio for bonus points!

12/6/02 Bonus Points Reminder! Remember, you may prepare a "classwork portfolio" for up to 5 points on the Final Exam.  This portfolio would be due at the time of the final exam.  This classwork portfolio is just all your material from the course, neatly organized, ie all the labs together and in order, all the challenge problems together and in order, your sheets of notes from each tests, etc.
12/5/02 EXAM TIME.  The exam time given in the first day handout, Wednesday, Dec. 18 from 9:00 - 11:30 is correct.  Because we meet MWF and Tu, there was a choice of exam times, and we will be using the morning slot.
12/4/02 Required Survey!!  Web-based MA 109 survey questions Due on or before Tuesday, December 10th.

There is a major trend in higher education toward web-based instruction, and SMC is part of this movement.  This class has been on the leading edge (for SMC at least...).  In order to make this transition as successful as possible, your feedback is critical.  What works?  What needs improvement, and how?   Please provide as much information as you can--after all, you are the person this education is to benefit!

12/3/02 Just a recap of what is due when (ROG= related rates/optimization/graphing):

Wed, 12/4:  Section 5.5, 5.6, 9.4, ROG

Fri, 12/6: Chpt 1 review, ROG

Mon, 12/9: Chpt 2 review, Chpt 5 challenge probs, ROG.

Tues, 12/10: Chpt 3 review, ROG

Wed 12/11: Chpt 4 review, ROG, we will redo test III in class.

Fri, 12/13: Chpt 5 review, ROG.

 

11/24/02 Office hours on 11/25 (monday) are rescheduled to 11:45 due to a sick baby.
11/19/02 I have a LARGE pile of homeworks, labs, etc. that I meant to return to you today, but got distracted and forgot.  You may come by to pick them up (or send a friend with a note) any time before 12:45 or between 2 and 2:30 at my office.  Between 12:45 and 2, you can get them from me in JEM 259.
11/18/02 I may be late for office hours this morning due to the storm.  If so, I will have additional time available around 11:45 today.  
11/15/02 The third hour test will have a multiple choice section similar in format to the tutorial quizzes at chapter quiz.  However, the problems  in this quiz are a little lame.  Here are some drills that have problems that are more like what you will see on the test in our class:   max/minmean value theorem, derivatives and graphing, identifying functions and derivatives, L'Hopital's drill 1, L'Hopital's drill 2, antiderivatives, and antiderivatives with initial values.

There will also be one related rate problem, one optimization problem, and one graphing problem, each of which will be worth more than the multiple choice questions.

Note:  You may have one sheet of notes, front and back, as usual.  However, in addition, you may bring photocopies of the flyleaves of your text (two pages from the front of the book, four from the back) to use during the test.

11/13/02 There are two Bonus Points opportunities.  One is to go to the "Mathematics in the Real World" talk by David Hathaway today at 4:00 in the Farrell room.  This will earn 5 points on the next exam.  The other is to prepare a "classwork portfolio" for up to 5 points on the Final Exam.  This portfolio would be due at the time of the final exam.
11/9/02 technical difficulties have prevented me from posting the example from class--please do the best you can with the info from the lab and the text, and see me Monday morning with any questions.
11/7/02 There are the following (more specific) guidelines for collaboration on the Maple labs, effective immediately:  Students may work together on Maple labs by consulting with each other and by comparing  their input and results.  However, each student must enter the Maple commands for his or her lab independently, and each student must submit an individual lab.  Do NOT share files!
11/5/02 Here is the corrected 4.1 for the lab:

Exercise 4.1.  Find dy/dx at (Pi/3, Pi/2) if  2*y*cos(x) + 3*x*sin ( y)=3*Pi/2,

 then graph the curve with its tangent line at (Pi/3, Pi/2).  Use x=-5..5, y=-5..5 for your x and y ranges when you plot, then plot again using x= -20..20 and y= -20..20.

11/1/02 Lab 4 was due today, but I forgot to pick it up.  I will collect these on Monday, Nov. 4.
10/31/02 Nov. 1 is a Holy Day of obligation, and I want to get to the 11:30 mass, so office hours for Friday, Nov. 1 are postponed until 1:30 to 2:30.
10/28/02 Exercise 3.6 of Maple Lab 3 is due Friday, Nov. 1.
10/28/02 You may recover up to 8 out of 10 lost points on any problem on the 2nd hour test by doing the problems below.  Turn in the problems, beautifully written up, together with your original exam, by Monday,  Nov 4.

#1.   pg 189 in our text, 38, 39, 40 (just find the equation of the tangent line--no need to plot on Maple), and pg 268 in our text53-57 all.

#2.  Any 8 from http://archives.math.utk.edu/visual.calculus/2/quotient_rule.3/index.html 

#3.  all 8 examples at the bottom of http://archives.math.utk.edu/visual.calculus/2/chain_rule.4/index.html 

#4.  pg 238 in our text, 13-20 all

#5.  Any 8 from http://archives.math.utk.edu/visual.calculus/3/implicit.4/index.html 

#6.  Any 8 from http://archives.math.utk.edu/visual.calculus/3/logdiff.1/index.html 

# 7. pg 251 in our text, 1-8 all.  

#8. pg 252 in our text, 39-47 all.

10/21/02 Office hours on Wed, Oct. 23 are rescheduled.  I will not be available at the usual 7:30 am time.  Instead, I will be available from 1:00 to 2:00 on Wed afternoon.  I am also adding an additional office hour each week--starting Friday, Nov 1, I will have office hours on Fridays, from 11:45 to 12:45.
10/17/02 List of differentiation formulas you should be able to prove for the test (remembering that you may have one sheet of notes, front and back):  the product and quotient rules, and all the trig and inverse trig derivatives assuming that you know the derivatives of sin(x) and cos(x).  
10/16/02 The second hour test will be similar, both in content and format, to the tutorial quizzes at: Chapter tests.  However, there isn't a very large selection there of problems to practice on--you should do as many of the "drill" problems from the inclass demos as possible, since I am likely to take problems from there for the test.  Also there will be 2 or 3 formulas and/or limits for you to derive on the test. I will post a list of "formulas to be able to derive" shortly.
10/2/02 I have reposted Maple Lab 2.  I must have accidently posted an early version.  The last exercise on the reposted version should make more sense.
10/1/02 http://www.math.ucdavis.edu/~hass/Calculus/calcdemos/node2.html  are some inclass demos for some of the concepts we cover in a calc class.  I will NOT be doing any of these in class (it should be obvious....) but you are welcome to try.
9/22/02 Reminder:  As noted in the first day handout, you may use one sheet (front and back) of notes on the hour test.  This sheet of notes may (should!) include theorems and formulas, but may NOT include worked problems.
9/20/02 The first hour test will be very similar, both in content and format, to the tutorial quizzes at: Chapter tests. You will have to change the chapter in order to get problems from chapter 2.  However, there will also be a "delta-epsilon" problem, of much the same flavor as # 15 - 18 in section 2.4.  The test will cover sections 1.1 through 2.5. 
9/13/02
P a r t y ! !
 
You are cordially invited to a Math Picnic.  Here is your chance to meet other people in your major but the best part is the food. 
When will this happen? Tues. the 17th. at 5:30
Where will it be? TH330
Why should you go?  Because you won't have to formally discuss math and there will be hamburgers and hot dogs!!!!
RSVP by the 13th to this email address!
Two other notes: the Actuarial Analyst will be here on the 23rd at 4 in the Farrell Room, also we are interested in members for a Math Club so if you want to be part of a cool club (resume builder), email me.
Have a great week and hope to see you next Tuesday!!!!!
Love,
Heather
hrubenstein@smcvt.edu
9/13/02 I have added exercise 1.6 to Maplelab 1 (graphing piecewise functions is a new capacity in Maple).  If you have already downloaded and worked on the previous posting of this lab, you can just cut and paste exercise 1.6 into your existing worksheet.
9/13/02 Here are the solutions to the Warmup exercises.  If you got any wrong, please go to the Help Session ASAP to find out how to do them correctly.  You will need to be able to do these types of problems for the upcoming material in this course!

1. b     2. d     3. c     4. d     5. a     6. c     7. b     8. c

9. a    10. d     11. b     12. e     13. c     14. b     15. b     16. e

 

9/13/02 You are cordially invited to the following presentation:

Title: Is an Actuarial Career Right for You?

Presenter: Tsana Nobles

Date: Monday, September 23 at 4 PM

Location: Farrell Room

Details: Tsana Nobles, an Actuarial Analyst at National Life Insurance Company (a member of the National Life Group) in Montpelier, will be sharing some background and insight into the actuarial profession. An actuary is a professional whose responsibility is to evaluate the current financial implications of future contingent events. For example, actuaries calculate how much homeowners should pay for insurance or how much money a life insurance company should set aside to pay its claims in a certain year. To become a designated actuary, either an Associate or Fellow, one must pass a sequence of exams. Many actuaries complete their exams while working in a formal actuarial training program.

Tsana graduated from UVM in 1994 with an M.S. in Mathematics. She has been working at National Life for the past 3 years. In her presentation, she plans to discuss the actuarial profession in general, educational prerequisites and relevant course work for finding a position, the actuarial exam structure, and the duties and benefits of being an actuary. She then will open it up for any questions. This talk may be of particular interest to students in the natural and mathematical sciences, business, economics, and engineering. Refreshments will be served.

Sponsored by: SMC Mathematics Club and Mathematics Department

9/11/02 Wahoo!!  There is a way to see/use the activemath notebooks!  To start with, you need to be running under Netscape, not Internet Explorer.  If you don't have Netscape, you can down load it for free here:  http://www.netscape.com/download/  (choose the full install when prompted)

You also need the LiveMath Plug-in for netscape.  You can download it free here: http://www.livemath.com/download/  (click on the icon for "Windows for Netscape based browsers", assuming you are running some version of Windows).

CAVEAT:  This worked for me, but comes with no guarantees--it may or may not work with the way your computer is configured.  The helpdesk does not in general support netscape--if you have a problem, you can ask, and they may be able to help you, but DO NOT hassle them if they can't.

PLEASE, PLEASE:  If you happen to be one of the folks that is able to get this to work,  please, please share your resources with classmates you may not be able to.  Thank you!

9/11/02 Note:  Be sure to click on "refresh" when you open these pages to be sure you get the most current postings.
9/6/02 Click on "Maple Labs" above for newly posted alternative directions for doing the client install, especially if you have Windows XP.
9/4/02 I have spoken with the folks at the help desk about the password prompts some of you reported experiencing when trying to connect to Maple.  We hope to troubleshoot it tomorrow.  In the meantime, please try at least one more time, and, if it doesn't work, write down exactly what happens--this will help diagnose the problem.  You should also try getting onto Maple in one of the computer labs in JEM in case the problems is with the way your own computer is configured.  Watch this space for announcements of further information about this.
9/3/02 There is a lot to do tonight--The warmup exercises, appendix A, and the introduction to Maple.  Please let me know if you have any questions!
1/10/02 The postings on this site have all been tested and all work.  If you have any difficulty getting material off this site, you can try any of the following:

1.  See if someone in your study group was able to print the file you want and make a photocopy of it.

2.  Try using one of the lab computers in case the problem is with how your own computer is configured.

3.  Using Explorer, right click on the link, select "save target as", then save the file to your home computer.  You should be able to open and print it from there.

4.  Contact Cynthia Kelley at 654-2756 or ckelley2@smcvt.edu.  She is the person for website trouble shooting.

1/28/00 Click Here for info on how to be notified automatically of any new changes to this website (how to subscribe to the site).
1/16/00

The Student Resource Center runs excellent workshops every semester on study skills, time management, test-taking techniques, etc.  For details:   SRC study skills