MATH 266B A01(04630), Spring 2008

Calculus with Applications to Biology II

Catalog Description:
Continuation of 266A. Integral calculus and analysis of differential equations in the context of biological applications. No credit for 266B if already credit for 163B or 263B.
Course Content:
MATH 266 is a calculus sequence that has been specifically designed to meet the needs of prospective life science majors. The mathematical concepts covered in these courses will be developed in the context of biological questions, and numerous exercises will demonstrate further applications of calculus in the life sciences. MATH 266B roughly corresponds to MATH 263B and is considered a sufficient prerequisite for MATH 263C. More detailed information about the course content can be found at http://www.math.ohiou.edu/~just/biocalc/ninf266.html.
Prerequisites:
C or better in MATH 266A.
Instructor:
Martin J. Mohlenkamp, mohlenka@ohio.edu, (740)593-1259, 315B Morton Hall.
Office hours: Monday 10-11am, Tuesday 10-11am, Thursday 3-4pm, and Friday 10-11am.
Web page:
http://www.ohio.edu/people/mohlenka/20083/266B.
Class hours/ location:
MTuThF 11:10am-12 in 326 Morton Hall.
Text:
Calculus for Biology and Medicine, second edition, by Claudia Neuhauser; Prentice Hall, 2004.
Homework:
Several problems from each section of the book are assigned. These problems will not be collected or graded, but you will need to do them in order to learn.
Good Problems:
Six Good Problems are assigned, and will be collected and graded. These are homework problems that will be graded half on content and half on presentation. The idea is to practice writing mathematics regularly but in small pieces.
Tests:
There will be four mid-term tests, in class. Calculators are not permitted.
Final Exam:
The final exam is on Tuesday, June 10, at 10:10 am in our regular classroom. Calculators are not permitted.
Grade:
Each Good Problem is worth 1 unit, each test is worth 2 units, and the final is worth 4 units. Your lowest 2 units will be dropped and then your average is computed and a 90% guarantees you at least an A-, 80% a B-, 70% a C-, and 60% a D-.
Missed or Late work:
Only reasons given in advance of a missed test will be considered; otherwise a score of 0 will be given. Late Good Problems are penalized 5% for each 24 hour period or part thereof, excluding weekends and holidays. You can resubmit good problems to improve your score, but the late penalty will apply.
Attendance:
Attendance is assumed but is not counted in your grade. However, you should estimate that for each class you miss your average will decrease by one point due to the learning you missed. It is your responsibility to find out any announcements made in class.
Academic Dishonesty:
You are strongly encouraged to work together on the homework. You can work together on the Good Problems, but you must acknowledge in writing what help you received and from whom. The tests and final exam must be your own work, and without the aid of notes, etc. Dishonesty will result in a zero on that work, and possible failure in the class and a report to the university judiciaries.
Special Needs:
If you have specific physical, psychiatric, or learning disabilities and require accommodations, please let me know as soon as possible so that your learning needs may be appropriately met.
Learning Resources:
  • Your classmates are your best resource. Use them!
  • The Academic Advancement Center's Math Center http://www.ohiou.edu/aac/math has drop-in help, tutors, online help, and a telephone hotline.
  • Dr. Winfried Just has developed a set of interactive (computer) tutorials to help students in this course, which are available at http://www.math.ohiou.edu/~just/calctutor/.
  • Exercises using the computer package MATLAB have been developed for this course, and are available at http://www.math.ohiou.edu/courses/matlab/.
  • Schedule

    The Good Problems and Tests are fixed, but we may not cover sections on exactly the days shown.
    Week Date Section Materials/ Homework (ungraded) Good Problem/ Test
    1 March 31 Introduction tutorial instructions, tutorial on entering formulas in MatLab
    April 1 5.8 5,11,17,19,23, 25,27,31,36,37, 41,45,57
    April 3 6.1 1,3,7,9,13, 17,21,27,29,33, 35,37,49,51,55, 57,59,61,63,68, 75,77; tutorial on the geometric interpretation of integrals
    April 4 Riemann demo Good Problem 1: Mathematical Autobiography, using Layout
    2 April 7 6.2 5,9,13,15,19, 25,33,43,45,57, 65,67,71,75,79, 81,87,89,95,99, 105,107,109,111,115, 117,119; tutorial on Fundamental Theorem of Calculus, tutorial on basic integrals
    April 8 6.3 (skip 6.3.5) 1,7,13,19,23, 29,35,37,40,47; tutorial on volumes
    April 10 Review
    April 11 study guide Test 1 on 5.8, 6.1-6.3
    3 April 14 7.1 1-59odd, tutorial on the Substitution Rule I, II (drop deadline)
    April 15 7.2 3,7,9,11,17, 19,21,27,31,35, 39,41,43,45,47; tutorial on Integration by parts I, II
    April 17 7.3 1,2,5,6,9, 10,11,12,13,19, 21,23,27,29,31, 35,39,40,41,43; tutorial on integrating rational functions I, II, III
    April 18 Good Problem 2: Section 7.2 #42, using Intros
    4 April 21 7.4 2,3,5,8,9, 11,13,17,19,25, 26,33,34; tutorial on improper integrals I, II
    April 22
    April 24 Review
    April 25 study guide Test 2 on 7.1-7.4
    5 April 28 8.1 1,3,5,7,9, 13,15,21,23,25, 27,39,45,47; tutorial on differential equations, tutorial on separation of variables
    April 29
    May 1 8.2 1,3,7,9,13, 15,21,25
    May 2 Good Problem 3: Section 8.1 #40, using Logic
    6 May 5 5.6 1-19odd (drop deadline with WP/WF)
    May 6
    May 8 Review
    May 9 study guide Test 3 on 8.1,8.2,5.6
    7 May 12 9.1 1-23odd
    May 13
    May 15 9.2 (skip 9.2.4) 1,9,13,15,19, 23,25,29,31,33, 35,37,45,49,51, 53,61,63,65
    May 16 leslie.m Good Problem 4: Section 9.1 #24, using Flow
    8 May 19 9.3 (skip 9.3.3) 1,3,5,7,9, 13,15,17,19,27, 29,31,37,39,41, 45,53,55,57,59, 61,63,65
    May 20
    May 22 Review
    May 23 study guide Test 4 on 9.1-9.3
    9 May 26 Memorial Day, no class
    May 27 11.1 1-55odd
    May 29
    May 30 11.2 3-21odd Good Problem 5: Section 11.1 #14, using Graphs
    10 June 2
    June 3 11.3 1-19odd
    June 5
    June 6 Review Good Problem 6: Section 11.3 #12, using Symbols
    11 June 10 study guide Final Exam Tuesday, at 10:10 am, in our classroom

    Martin J. Mohlenkamp
    Last modified: Wed May 14 09:38:21 EDT 2008