MATH 266A A01(04681), Fall 2005

Calculus with Applications to Biology I

Catalog Description:
Introduction to dynamical systems, limits, and derivatives in the context of biological applications. Students cannot earn credit for both 266A and either of 163A or 263A.
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 266A roughly corresponds to MATH 263A and is considered a sufficient prerequisite for MATH 263B. More detailed information about the course content can be found at
MATH 115 or Placement level 3.
Martin J. Mohlenkamp,, (740)593-1283, 554 Morton Hall.
Office hours: Monday 2-3pm, Tuesday 10-11am, Thursday 10-11am and 5-6pm, and Friday 10-11am.
Web page:
Class hours/ location:
MTuThF 1:10-2pm in 126 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 Saturday 19 November at 2:30pm in our regular classroom. (Note that the time has changed from that printed in the schedule of courses.) 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 September 6 Introduction tutorial instructions
    September 8 1.1 1-115odd; Entering formulas in Matlab; tutorial on entering formulas in Matlab; tutorial on intervals etc.; tutorial on lines
    September 9 1.2 1-103odd; Graphing functions with Matlab; tutorial on functions Good Problem 1: Autobiography, using Layout
    2 September 12
    September 13 1.3 1-85odd, 89-115odd; Compositions of functions and their graphs (Matlab)
    September 15 Curve fitting, loglog plots, and semilog plots (Matlab)
    September 16 study guide Test 1 on 1.1-1.3
    3 September 19 2.1 1-77odd; Farewell Fargo?
    September 20 2.2 1-109odd (drop deadline)
    September 22 2.3 (skip 2.3.4) 1-29odd, 35-53odd; Fargo follow up
    September 23 Good Problem 2: Section 2.1 #18, using Flow
    4 September 26 3.1 1-53odd
    September 27 Finding limits in Matlab ; tutorial on limits
    September 29 3.2 1-47odd; tutorial on continuity
    September 30 3.3 1-29odd; tutorial on asymptotes Good Problem 3: Section 3.1 #48, using Logic
    5 October 3 3.4 1-17odd
    October 4 3.5 1-13odd
    October 6 Review
    October 7 study guide Test 2 on 2.1-2.3, 3.1-3.5
    6 October 10 4.1 1-59odd; Definition of a derivative (Matlab) (drop deadline with WP/WF)
    October 11 4.2 1-81odd; tutorial on power rule
    October 13 4.3 1-93odd; tutorial on products and quotients
    October 14 4.4 1-87odd; Implicit Differentiation (Matlab); tutorial on chain rule Good Problem 4: Section 4.1 #60, using Graphs
    7 October 17 4.5 1-73odd; tutorial on trigonometric derivatives
    October 18 4.6 1-73odd
    October 20 Review
    October 21 study guide Test 3 on 4.1-4.6
    8 October 24 4.7 1-75odd
    October 25 tutorial on implicit differentiation; tutorial on logarithmic differentiation
    October 27 4.8 1-49odd
    October 28 5.1 1-55odd; tutorial on local extrema; tutorial on global extrema Good Problem 5: Section 4.7 #76, using Symbols
    9 October 31 5.2 1-43odd
    November 1
    November 3 Review
    November 4 study guide Test 4 on 4.7-4.8, 5.1-5.2
    10 November 7 5.3 1-43odd; tutorial on graphing with f'; tutorial on graphing with f''
    November 8 5.4 1-19odd, 23
    November 10 5.5 1-57odd; tutorial on L'Hopital I; tutorial on L'Hopital II
    November 11 Veteran's Day, no class
    11 November 14 5.6 1-19odd Good Problem 6: Section 5.3 #42, using Intros
    November 15 Review
    November 19 study guide Final Exam 2:30pm-4:30pm Saturday in our classroom

    Martin J. Mohlenkamp
    Last modified: Fri Sep 3 13:54:05 EDT 2010