Mathematics 228 :  Calculus II for Biologists
Spring 2009

Introduction

Professor:          Jeff Johannes                                 Section 2    TR  11:20a-1:00p    Fraser 119
Office:               South 326A                                
Telephone:         5403 (245-5403)                                                            
Office Hours:    Monday 8-9p, Tuesday 2-3p, Wednesday 10-11a, Thursday 1-2p, 4:30 - 5:30p, and by appointment or visit
Email Address: Johannes@Geneseo.edu
Web-page:         http://www.geneseo.edu/~johannes

Course Materials
    Modeling the Dynamics of Life:  Calculus and Probability for Life Scientists by Frederick R. Adler
    Required:  TI-89 Calculator
    Additional handouts of reading, problems, and activities will be provided

Purposes
Overview
      This course is defined, in many ways, by what it isn't.  It isn't the easy way out of calculus II - in fact, it will likely be more demanding than 222 would be.  It isn't merely the same topics from 222 with examples using biology.  It is a completely different experience than 222.  Some 222 topics will not be included, most notably infinite series.  We will learn many topics not studied in 222 - including probability and statistics, and many topics not studied in other mathematics courses - such as discrete dynamical systems.  You will be my experts on biology, and I will be the mathematics expert.  Along the way we will surely all learn something we never knew before.  Be prepared to work, to learn, and to see some new and different things.  Open your minds and hold on for a biology flavoured adventure in mathematics.
 
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)
                    Exam 1           14%                                                Problem Sets (4)        20%
                    Exam 2           14%                                                Reports (2)                 10%
                    Half Exam 3     9%
                    Final Exam     24%                                                Reading quizzes (?)      9%

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
    You will write two reports for this class.  They will be of two different types chosen from the following three:  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.  You may also interview someone involved in the Geneseo Biomathematics Initiative, and you may write a summary of a Science or Nature article involving biology and mathematics.  You may choose which report to complete for each due date. 
        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 on the assigned dates.  I will gladly look at papers before they are due to provide comments.

Problem Sets
    There will be four problem sets distributed throughout the semester.  You must complete each of them.   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.  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.    

Reading Quizzes
    You are responsible for reading the sections before they are discussed in class.  The schedule is given below.  Occasionally - as I see it necessary - we will have short (five minute) reading quizzes to check that the reading is being done.  As the class shows this is not necessary, they will become less frequent.  The reading quizzes may be as straight forward as - "Write enough to convince me you did the reading."  Points lost on quizzes may be reearned by finding errors in the textbook (there are many - both mathematical and writing) as follows:  The first student who notifies me via email of an error in the section for the next class period will receive one lost point back on a previous reading quiz. 

Exams
    There will be two and a half 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.  There will be multiple options of times of completing these exams.  Tentatively they are scheduled for Thursdays 7 – 9p, but this is not fixed.  The third exam will be shorter than the others and will be completed in class.  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.

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 20    introductions
        20.1    1.2
        22       1.5 
        22.1    1.6

        27       1.7
        27.5    1.9
        29       1.11
        29.5    2.8

February 3    1.10
        3.1      3.1
        5         3.2
        5.1      overrun              

        10       review         PS1 due
        10.1    review             
        12       XM1 
 
        17       XM discuss
        17.1    4.1
        19       4.2
        19.1    4.3                     report1 due

        24       5.1
        24.1    5.2
        26       5.3
        26.1    5.4

March 3       26   5.5
        3.1       5.6
        5          5.7
        5.1      overrun               

        10       review               PS2 due
        12       XM2

        24       XM discuss
        24.1    6.1
        24.2    6.2
        26       6.3
        26.1    6.4

        31       6.5
        31.1    6.6
April 2        6.7
        2.1      6.8                     

        7        6.9    
        7.1  review                     
        9         7.1            PS3 due
        9.1      7.2

        14       7.4 
        14.1    Half XM3
        16       7.5                       Report2 due
        16.1    7.6

        23       7.7
        23.1    7.8

        28       7.9
        28.1    8.1
        30       8.3
        30.1    8.4

May   5    review                  PS4 due
          

Wednesday, May 13    8-11a    Final XM


Assignments at beginning of the semester for Calculus 228:

The most important topics to review from 221 for 228 are differentiation and integration.  While I will assume that you know all of chapters 1-5, focus your review thoughts on Chapters 2 and 4.  

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. 215    11 - 34, 45, 51
p. 365    9 - 30