MATH 266B A01(04764), Winter 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
MATH 266A.
Martin J. Mohlenkamp,, (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:
Class hours/ location:
MTuThF 3:10-4pm in 326 Morton Hall.
Calculus for Biology and Medicine, second edition, by Claudia Neuhauser; Prentice Hall, 2004.
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.
There will be four mid-term tests, in class. Calculators are not permitted.
Final Exam:
The final exam is on Wednesday 15 March at 12:20pm in our regular classroom. Calculators are not permitted.
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 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 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 for instructions.
  • A set of exercises using the computer package MATLAB have been developed for this course, and are available at
  • The calculus page at UC Davis has links to many Calculus resources.
  • 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 January 3 Introduction tutorial instructions, tutorial on entering formulas in MatLab
    January 5 5.8 1-67odd
    January 6 6.1 1-83odd, tutorial on the geometric interpretation of integrals Good Problem 1: Section 5.8 #66, using Layout
    2 January 9 6.2 1-125odd, tutorial on Fundamental Theorem of Calculus, tutorial on basic integrals
    January 10 6.3 (skip 6.3.5) 1-51odd, tutorial on volumes
    January 12
    January 13 7.1 1-59odd, tutorial on the Substitution Rule I, II Good Problem 2: Section 6.2 #98, using Flow
    3 January 16 Martin Luther King Jr. Day, no class
    January 17 7.2 1-47odd, tutorial on Integration by parts I, II (drop deadline)
    January 19 Review
    January 20 study guide Test 1 on 5.8, 6.1-6.3, 7.1,7.2
    4 January 23 7.3 1-43odd, tutorial on integrating rational functions I, II, III
    January 24
    January 26 7.4 1-41odd, tutorial on improper integrals I, II
    January 27 7.6 1-21odd Good Problem 3: Section 7.3 #28, using Logic
    5 January 30 7.7 1-29odd
    January 31 exp demo, sine demo
    February 2 Review
    February 3 study guide Test 2 on 7.1-7.4, 7.6, 7.7
    6 February 6 8.1 1-55odd, tutorial on differential equations, tutorial on separation of variables (drop deadline with WP/WF)
    February 7
    February 9 8.2 1-25odd
    February 10 Good Problem 4: Section 8.1 #40, using Intros
    7 February 13 8.3 1-11odd
    February 14
    February 16 Review
    February 17 study guide Test 3 on 8.1-8.3
    8 February 20 9.1 1-23odd
    February 21
    February 23 9.2 (skip 9.2.4) 1-53odd, 59-67odd
    February 24 Good Problem 5: Section 9.1 #16, using Symbols
    9 February 27 9.3 (skip 9.3.3) 1-67odd
    February 28 9.4 1-65odd
    March 2 Review
    March 3 study guide Test 4 on 9.1-9.4
    10 March 6 11.1 1-55odd
    March 7 11.2 1-21odd
    March 9
    March 10 Review Good Problem 6: Section 11.1 #14, using Graphs
    11 March 15 study guide Final Exam 12:20-2:20pm Wednesday, in our classroom

    Martin J. Mohlenkamp
    Last modified: Fri Sep 3 13:54:12 EDT 2010