Link to blog post: http://raffysaldana.blogspot.com/2009/11/course-syllabus-applied-calculus-for.html
Catalogue No. : Ma 20.3a
Course Title : Applied Calculus for Life Sciences I
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
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
Additional Applied Optimization
No. of Hours: 15
Long Exam #2- February 4 (Th) 4:30 – 6 (Tentative)
3. Additional Derivative Topics
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. .
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