MATH 266B A01(04486), Spring 2006

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:
MATH 266A.
Instructor:
Martin J. Mohlenkamp, mohlenka@ohio.edu, (740)593-1283, 554 Morton Hall.
Office hours: Monday 10-11am, Tuesday 10-11am, Thursday 10-11am and 5-6pm, and Friday 10-11am.
Web page:
http://www.ohiouniversityfaculty.com/mohlenka/20063/266B.
Class hours/ location:
MTuThF 12:10-1pm in 226 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 Monday 5 June at 2:30pm 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. 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. You are encouraged to use these tutorials, and to participate in his study on their use. Please visit http://www.math.ohiou.edu/~just/calctutor/ for instructions.
  • A set of exercises using the computer package MATLAB have been developed for this course, and are available at http://www.math.ohiou.edu/courses/matlab/.
  • The calculus page http://www.math.ucdavis.edu/~calculus/ at UC Davis has links to many Calculus resources.
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    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 27 Introduction tutorial instructions, tutorial on entering formulas in MatLab
    March 28 5.8 1-67odd
    March 30 6.1 1-83odd, tutorial on the geometric interpretation of integrals
    March 31 Riemann applet, demo, Good Problem 1: Section 5.8 #58, using Layout
    2 April 3 6.2 1-125odd, tutorial on Fundamental Theorem of Calculus, tutorial on basic integrals
    April 4 6.3 (skip 6.3.5) 1-51odd, tutorial on volumes
    April 6
    April 7 7.1 1-59odd, tutorial on the Substitution Rule I, II Good Problem 2: Section 6.2 #102, using Flow
    3 April 10 7.2 1-47odd, tutorial on Integration by parts I, II
    April 11
    April 13 Review
    April 14 study guide Test 1 on 5.8, 6.1-6.3, 7.1,7.2
    4 April 17 7.3 1-43odd, tutorial on integrating rational functions I, II, III
    April 18
    April 20 7.4 1-41odd, tutorial on improper integrals I, II
    April 21 7.6 1-21odd Good Problem 3: Section 7.3 #36, using Logic
    5 April 24 7.7 1-29odd
    April 25 exp demo, sine demo, applet
    April 27 Review
    April 28 study guide Test 2 on 7.1-7.4, 7.6, 7.7
    6 May 1 8.1 1-55odd, tutorial on differential equations, tutorial on separation of variables (drop deadline with WP/WF)
    May 2
    May 4 8.2 1-25odd
    May 5 Good Problem 4: Section 8.1 #40, using Intros
    7 May 8 8.3 1-11odd
    May 9
    May 11 Review
    May 12 study guide Test 3 on 8.1-8.3
    8 May 15 9.1 1-23odd
    May 16
    May 18 9.2 (skip 9.2.4) 1-53odd, 59-67odd
    May 19 Good Problem 5: Section 9.1 #24, using Symbols
    9 May 22 9.3 (skip 9.3.3) 1-67odd
    May 23 9.4 1-65odd
    May 25 Review
    May 26 study guide Test 4 on 9.1-9.4
    10 May 29 Memorial Day, no class
    May 30 11.1 1-55odd
    June 1 11.2 1-21odd
    June 2 Review Good Problem 6: Section 11.1 #14, using Graphs
    11 June 5 study guide Final Exam 2:30-4:30pm Monday, in our classroom
    Martin J. Mohlenkamp
    Last modified: Fri Apr 21 15:08:54 EDT 2006