Sunday, November 8, 2009

Course Syllabus: Applied Calculus for Life Sciences I (Ma 20.3a)

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Catalogue No. : Ma 20.3a

Course Title : Applied Calculus for Life Sciences I

Department: Mathematics

School: Science and Engineering, Ateneo de Manila University

Semester: II School Year: 2009-10

Credit : 3 units Prerequisites : Ma 11 or Ma 18a

A. Course Description

Ma 20.3a is the first in a series of two 3-unit calculus courses taken primarily by majors in the life sciences. The course introduces the student to differential calculus and its applications such as rate of change, related rates, graphing, and optimization. There is strong emphasis on applications to life sciences. Topics include limits and continuity, derivatives, differentials and applications of the derivative.

B. Specific Objectives

At the end of the course, the student is expected to be able to:

1. Have an intuitive notion of the concepts of limit and continuity of a function; apply the limit theorems and obtain the asymptotes of a function.

2. Find the derivative of algebraic, exponential and logarithmic functions; interpret the derivative as a measure of slope and as a rate of change; use derivatives as an aid in sketching the graph of a function and to solve optimization problems.


C. Course Outline and Timeframe



1. Limits and the Derivative


One-sided Limits and Continuity

The Derivative

Techniques of Differentiation

Product and Quotient Rule: Higher Order Derivatives

The Chain Rule

Marginal Analysis and Approximations Using Increment

No. of Hours: 15

Long Exam #1- December 17 (Th) 4:30 - 6 (Tentative)








2. Graphing and Optimization

Increasing and Decreasing Functions; Relative Extrema

Concavity and Points of Inflection

Curve Sketching


Additional Applied Optimization

No. of Hours: 15

Long Exam #2- February 4 (Th) 4:30 – 6 (Tentative)






3. Additional Derivative Topics

Exponential Functions

Logarithmic Functions

Differentiation of Logarithmic and Exponential Functions

Implicit Differentiation and Related Rates

No. of Hours: 15

Long Exam #3- March 16, 2010 (Th) 4:30 – 6 (Tentative)






D. Required Textbook: Calculus for Business, Economics and The Social and Life Sciences (Brief Ninth Edition, 2007) by Hoffmann and Bradley


E. Course Requirements and Grading System:

The final mark of the student will be based principally on the following: 3 long exams (100 pts. each- no cancellation), the final exam (200 pts.), and (optional) quizzes/assignments/ recitation (maximum of 100 pts). All exams will be departmental.

Percentage of the total score

Equivalent letter grade

92% - 100%


86% - 91%


77% - 85%


69% - 76%


60% - 68%


50% - 59%


49% - and below



Students whose class standing before the final exam is 90% or above (prior to the cancellation of the lowest long exam score) may be exempted from taking the final exam subject to the discretion of the teacher. .

F. References:

Barnett, R.A, M.R. Ziegler, and K.E Byleen,, Calculus for Business, Economics, Life Sciences, and Social

Sciences, 9thedition, Prentice-Hall, 2003.

Bittinger, M.L., Brand, Quintanilla, Calculus for the Life Sciences, 5th edition, Addison-Wesley, 2006

Edwards, C.H. and E. Penney, Calculus with Analytic Geometry, 4th edition, Prentice-Hall, 1994.

Goldstein, L.J., D.C. Lay and D.I. Schneider, Calculus and its Applications, 7th edition, Prentice-Hall, 1996.

Harshbarger, R.J. and J.J. Reynolds, Calculus with Applications, D.C. Heath and Company, 1990.

Thomas, G.B. and R.L. Finney, Calculus and Analytic Geometry, 8th edition, Addison-Wesley, 1993.

F. Other Matters


Please take note of the following dates/schedule:


  • Nov 09 (M)- Classes begin
  • Nov 13 (F) – 2nd Semester Faculty Day
  • Nov 30 (M)- Bonifacio Day
  • Dec 8 (T)- Feast of the Immaculate Conception
  • Dec 20 (S)- Start of Christmas Break
  • Jan 4 (M)- Classes resume
  • Jan 22 (F)- Deadline for Advisory Marks
  • Feb 1 (M)- President’s Day
  • Feb 22 (M)- EDSA Anniversary (School Holiday)
  • March 22-27- Finals week

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