Mathematics 222 :  Calculus II
Spring 2011

Introduction

Professor:          Jeff Johannes                                 Section 5    MTWF  1:30-2:20p    Sturges 105
Office:               South 326A                                
Telephone:         5403 (245-5403)                                                            
Office Hours:    Monday 10:30 - 11:20a, 3:00 - 4:00p; Tuesday 11:30a - 12:30p; Wednesday 12:30 - 1:20p; Thursday 8:00 - 9:00p; and by appointment or visit.
Email Address: Johannes@Geneseo.edu
Web-page:         http://www.geneseo.edu/~johannes

Course Materials
    Thomas' Calculus, Twelfth Edition by Weir and Hass
   
Required:  TI-89 Calculator
    Additional handouts of reading, problems, and activities will be provided

Purposes

Overview
    Calculus is the culmination of high school mathematics and the entryway to higher level college mathematics.  The discovery of the calculus was a turning point in the history of mathematics and society.  As the mathematics of change, calculus is widely applicable in all fields of study that have quantifiable change.  It is for these reasons that we will be studying not only how to do calculus, but why calculus is done the way it is, and why it is done at all.  
 
Grading
    Your grade in this course will be based upon your performance on various aspects.  The weight assigned to each is designated below:
                   Exams:                                                                  Assignments: (5% each, complete 10)
                    Exam 1           13%                                                Problem Sets (5)        25%
                    Exam 2           13%                                                More (2)                    10%
                    Final Exam     25%                                                Lab Writeups (3)       15%
    More may include extra problem sets, papers, or lab writeups.  

Exercises
    With each day of lecture, I will suggest several exercises that are relevant for practising from that day's lesson.  I will not grade these exercises, but will gladly discuss or look at them.   

Reports
    After attending a mathematics department colloquium (or other approved mathematics presentation) you may write a report.  In your report, please explain the main point of the presentation and include a discussion of how this presentation affected your views on mathematics.
        A – Well written, answers the questions, and is interesting and insightful
        B – Well written and answers the questions
        C – Well written or answers the questions (convinces the reader that you were there)
        D – attempted
Papers are due within a classweek of the colloquium presentation.  I will gladly look at papers before they are due to provide comments.

Problem Sets
    There will be five pairs of problem sets distributed throughout the semester.  You must complete one of each pair.   Problem sets are due on the scheduled dates.  You are encouraged to consult with me outside of class on any questions toward completing the homework.  You are also encouraged to work together on homework assignments, but each must write up their own well-written solutions.  A good rule for this is it is encouraged to speak to each other about the problem, but you should not read each other's solutions.  A violation of this policy will result in a zero for the entire assignment and reporting to the Dean of Students for a violation of academic integrity.  I strongly recommend reading the suggestions on working such problems before beginning the first set.  Each question will be counted in the following manner:      
                 0 – missing question or plagiarised work
                 1 – question copied
                 2 – partial question
                 3 – completed question (with some solution)
                 4 – completed question correctly and well-written
Each entire problem set will then be graded on a 90-80-70-60% (decile) scale.  Late items will not be accepted.  Problem sets will be returned on the following class day along with solutions to the problems.  Because solutions will be provided, comments will be somewhat limited on individual papers.  Please feel free to discuss any homework with me outside of class or during review.    

Laboratory Activities and Writeups

    We will regularly be spending classes on activities.  Activity descriptions will be distributed in class the day before the lab.  Please come to class prepared for the activity (i.e. complete the section labeled "Before the Lab" if there is one), but without having completed it before.  We will not use class time to prepare.  I strongly recommend reading the suggestions on writing lab writeups before submitting one.  Lab writeups may be turned in no more than three class days after the lab activity.  

Exams
    There will be two exams during the semester and a final exam during finals week.  If you must miss an exam, it is necessary that you contact me before the exam begins.  Exams require that you show ability to solve unfamiliar problems and to understand and explain mathematical concepts clearly.  The bulk of the exam questions will involve problem solving and written explanations of mathematical ideas.  The first two exams will be an hour's worth of material that I will allow two hours to complete.  Tentatively they are scheduled for Thursdays 7 – 9p.  The final exam will be half an exam focused on the final third of the course, and half a cumulative exam.  Exams will be graded on a scale approximately (to be precisely determined by the content of each individual exam) given by
        100 – 80%    A
          79 – 60%    B
          59 – 40%    C
          39 – 20%    D
       below 20%    E
For your interpretive convenience, I will also give you an exam grade converted into the decile scale.  The exams will be challenging and will require thought and creativity (like the problems).  They will not include filler questions (like the exercises) hence the full usage of the grading scale.  

Feedback
    Occasionally you will be given anonymous feedback forms.  Please use them to share any thoughts or concerns for how the course is running.  Remember, the sooner you tell me your concerns, the more I can do about them.  I have also created a web-site which accepts anonymous comments.  If we have not yet discussed this in class, please encourage me to create a class code.  This site may also be accessed via our course page on a link entitled anonymous feedback.  Of course, you are always welcome to approach me outside of class to discuss these issues as well. 

Social Psychology
    Wrong answers are important.  We as individuals learn from mistakes, and as a class we learn from mistakes.  You may not enjoy being wrong, but it is valuable to the class as a whole - and to you personally.  We frequently will build correct answers through a sequence of mistakes.  I am more impressed with wrong answers in class than with correct answers on paper.  I may not say this often, but it is essential and true.  Think at all times - do things for reasons.  Your reasons are usually more interesting than your choices.  Be prepared to share your thoughts and ideas.  Perhaps most importantly "No, that's wrong." does not mean that your comment is not valuable or that you need to censor yourself.  Learn from the experience, and always try again.  Don't give up. 

Disability Accommodations
    SUNY Geneseo will make reasonable accommodations for persons with documented physical, emotional or learning disabilities.  Students should consult with the Director in the Office of Disability Services (Tabitha Buggie-Hunt, 105D Erwin, tbuggieh@geneseo.edu) and their individual faculty regarding any needed accommodations as early as possible in the semester.

Religious Holidays
    It is my policy to give students who miss class because of observance of religious holidays the opportunity to make up missed work.  You are responsible for notifying me by January 29 of plans to observe a holiday.  

Schedule (subject to change)

January 18    introductions
        19     review
        21    7.1
 
        24    Lab 15
        25    7.2
        26    Lab 16
        28    7.3

        31    Lab 10
February 1    7.5
        2    7.6
        4    Problem Set 1 due; Lab 17  

        7    8.1
        8    8.2
        9    8.3
        11    8.4

        14    8.5
        15    Lab 18
        16    8.6
        18    8.7

        21    review
        22    Problem Set 2 due; review
        23    review
        24    XM1 (7-9p Welles 134)
        25    XM discuss

        28   XM discuss
March 1    10.1  
        2    Lab 19
        4    10.2  

        7    Lab 20
        8    10.3
        9    10.4
        11    Lab 21

        21    10.5
        22    Problem Set 3 due, 10.6  
        23    10.7
        25    Lab 22

        28    10.8
        29    Lab 23
        30    10.9
April 1     review

        4    10.10       
        5    Problem Set 4 due, review
        6    review
        7    XM2 (7 - 9p Welles 138)  
        8    XM discuss

        11    XM discuss

        13    7.5
        15    9.1

        18   Population Project
        19   11.1
        20   11.2
        22   11.3

        25    Lab 24
        26    11.4
        27    Lab 14
        29    11.5

May 2    Problem Set 5 due, review
        3    review  

Monday, May 9    3:30 - 6:30p    Final XM


Assignments at beginning of the semester for Calculus 222:

The most important topics to review from 221 for 222 are differentiation and integration.  While I will assume that you know all of chapters 1-6, focus your review thoughts on Chapters 3 and 5.  

Opening day exercises (remember exercises are not graded)

If you want a taste of things, here are some sample questions of review nature to think about:
p. 176-182
p. 301-307 
For Friday, February 4

Read “Suggestions to the Students” first
required to complete at least one of two options:

Problem Set 1A
Problem Set 1B