MATH 1180
CALCULUS FOR BIOLOGISTS II
SPRING 2007

Instructors:    Lecture:    Courtney Davis  (davis@math.utah.edu, LCB 306)
                        Lab:          Elisha Hughes (hughes@math.utah.edu, JWB 306)

Course Times:   Lecture:    MWF 9:40-10:30     (ST 216)
                             Labs:        M 10:45-11:35 or T 10:45-11:35     (LCB 115)

Office Hours:    M  3:00-4:00
                            Th 2:00-3:00

Important Dates:     Mon 1/8:       Classes start
                                   Mon 1/15:     No class (MLK Day)
                                   Fri 2/2:          Exam 1
                                   Mon 2/19:     No class (Presidents’ Day)
                                   Fri 2/23:        Exam 2
                                   Fri 3/16:        Exam 3
             Mon 3/19 – Fri 3/23:        No class (Spring Break)
                                   Fri 4/13:        Exam 4
                                   Wed 4/25:    Last day of class
                                   Tues 5/1:      Final Exam, 8:00-10:00 am

SYLLABUS  (correction to syllabus: see corrected office hours above)
Worksheet for Exam 3 (corrected version)

HOMEWORK:

Chapter 5
5.1:    18, 20, 22 (on 22: don't sketch the solution)
5.2:    4, 6, 8, 10, 18
5.3:    6, 8, 10, 18 (on 6: okay if don't compare with 5.2.18)
5.4:    2, 4, 14 (on 14: skip the interpretation and skip the sketch)
5.5:    8, 12, 26, 28, 36, 38 (on 36 and 38: write the new system described and make up parameter names as needed)
5.6:    2, 12, 14, 18, extra problem below (on 2: don't graph)
          extra problem: Find and graph the nullclines and find the equilibria for the SI system below:
                                 dS/dt = 0.1I-0.5IS
                                 dI/dt = 0.5IS-0.1I
5.7:    10, 30, extra problem below (on 30: draw nullclines and direction arrows in phase plane)
           extra problem: Draw nullclines and direction arrows for the SI system below:
                                  dS/dt = 0.1I-0.5IS
                                  dI/dt = 0.5IS-0.1I
                                  (You may refer to 5.6 extra for proof of work to find nullclines.)
Chapter 6
6.1:     2, 14, 26 (on 26: also, draw Markov Chain)
6.2:     2, 4, 24, 28       [side note: the lemmings return!  (literally, in 28)]
6.3:     4, 6, 16, 20
6.4:     6, 10, 14, 30, 34, 40 (on 40: don't compare results)
6.5:     4, 8, 10, 16, 20
6.6:     first half: 4, 14, 18, 20
           second half: 8, 22, 26, 28 (on 26 and 28: don't graph.  on 28: must find c.d.f. first)
6.7:     6, 8, 12
6.8:     4, 6, 10, 18, 20 (on 4: ignore "when is median > expectation" question.  on 10: needn't compare to expectation. 
           on 20: use integrals on bottom of page 567 if needed (or integrate by parts).)
6.9:     2, 6, 10, 14, 23, 24 (Read about coefficient of variance in book.  on 2 and 6: find mean also.  on 10: find only
           25th and 75th quartile, don't graph.  on 23: start with definition of variance.)
Chapter 7
7.1:     2, 4, 6, 10, 16
7.2:     4, 6, 10, 18 (on 10: you should use your answer from 6.  on 18: don't graph.  Side note on 18: correlation would
           equal 1 if function was linear since Y is exactly predictable from knowing X.)
7.3:     16 (on 16c: also find cov(X,X).  Note: 16 is a long problem with 5 parts and therefore is worth 10 pts rather than
           the usual 3.)
7.4:     4, 10, 14, 18, 54
(we are skipping section 7.5)
7.6:    first half: 2, 4, 12, 36
          second half: 8, 10, 16, 38
7.7:    6, 18, 22, 34, 46 (on 6: just find the Poisson distribution (and only up to N=4) not the dist'n from the data)
7.8:     2, 4, 10, 30
7.9:     4, 10, 14, 16, 20 (on 10: don't graph.  Note: Phi values are in chart on back cover of the book.  Round your
          values when necessary to use this chart.)
Chapter 8
8.1:     10, 16, 18, 22
8.2:     2, 6, 8, 12 (on 8: Would need computer to solve, so instead: lower limit: stop when you have a simplified
           equation in terms of p only that you would need a computer to solve (find value for all "n choose k" terms,
           etc.).  upper limit: use the fact that Pr(result less than or equal to 6) = 1-Pr(result strictly greater than 6).  Don't
           need to compare to previous problem.    on 12: must find maximum likelihood estimator.  Plug into support 
           equation and simplify until you would need a computer to solve.  Don't compare.)
8.3:     first half: 2, 4, 14 (on 14: assume s=3.58 since not assigned number 6)
           second half: 8, 16, 20, 42, 46 (on 42: don't compare.  on 46: true mean=0.9, true variance=1.09)
8.4:     8, 12, 14, 16 (on 14: warning: long computation.  on 16: recall integration is the continuous form of summation.)
8.5:     2, 4, 8, 10, 14
8.6:     2, 8, 12, 16, 42, 44 (on 2: ignore references to question 1)
8.7:     first half: 2, 8
           second half: 6, 16 (Use the table on page 765 for chi-squared.  on 6: pool 0 with 1)
(we are skipping sections 8.8 and 8.9)

Due Dates for Homework: (Subject to changes based on progress in class)
W 1/17:    5.1, 5.2
M 1/22:    5.3, 5.4
M 1/29:    5.5, 5.6, 5.7
M 2/5:      6.1, 6.2
M 2/12:    6.3, 6.4, 6.5
W 2/21:    6.6 (all), 6.7            
M 3/5:      6.8, 6.9, 7.1, 7.2
M 3/12:    7.3, 7.4, 7.6-first half
M 3/26:    7.6-second half
M 4/2:      7.7, 7.8, 7.9
M 4/9:      8.1, 8.2
M 4/16:    8.3
M 4/23:    8.4, 8.5, 8.6, 8.7 first half
Second half of 8.7 will not be submitted for a grade.

LABS:

Lab assignments will be posted one week prior to the lab session.  They will be due one week later in the corresponding lab session.

ABOUT THE LABS AND LOG-IN INSTRUCTIONS (courtesy of Liz Doman)
MAPLE TUTORIAL (courtesy of Liz Doman)
LAB 1 - assigned week of 1/22/07; due 1/30/07
       (it is recommended that for the first lab you also print the Maple Tutorial above, as it provides information about
       logging on and accessing Maple)
LAB 2 - assigned week of 2/5/07; due 2/13/07
pplane7.m - You will download this while in the lab for Lab 2.  You need not do so ahead of time.
       (original source of pplane7.m: http://math.rice.edu/~dfield/index.html)
LAB 3 - assigned week of 2/12/07; due 2/20/07
.mapleinit - You will download this while in the lab for Lab 3.  You need not do so ahead of time.
LAB 4 - assigned week of 2/26/07; due 3/6/07
LAB 5 - assigned week of 3/5/07; due 3/13/07
LAB 6 - assigned week of 3/26/07; due 4/3/07
LAB 7 - assigned week of 4/2/07; due 4/10/07
LAB 8 - assigned week of 4/16/07; due 4/24/07

ANOTHER MAPLE TUTORIAL (courtesy of Nessy Tania)

There will be no lab on the weeks of the following dates:
    1/8     (first week of class)
    1/15    (MLK day)
    1/29    (week of Exam 1)
    2/19    (Presidents' day and week of Exam 2)
    3/12    (week of Exam 3)
    3/19    (Spring break)
    4/9      (week of Exam 4)
    4/23    (last week of class)

Other Computer Access:
The computers in the T. Benny Rushing Mathematics Center lab, located below the plaza connection LCB and JWB (room 115C), also contain Maple and are open to your use.  The lab's hours are:
    M-Th: 8 am - 8 pm
    F: 8 am - 6 pm
    closed weekends and holidays.

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