Math 127
University of Massachusetts
Spring, 2001

Calculus for Life & Social Sciences I
Math 127

 

ASSIGNMENTS & SUGGESTED PROBLEMS

COURSE INSTRUCTORS/HELP CENTER

HOW TO USE OWL

EXAMINATION INFORMATION

 

COURSE OUTLINE

TEXT: Applied Calculus by Hughes-Hallett, et.al.,

published by John Wiley & Sons.

Chapter 1 – Functions and Change

    1. How Do We Measure Change?
    2. What Is A Function?
    3. Linear Functions
    4. Applications of functions to Economics
    5. Proportionality and Power Functions
    1. Exponential Functions
    2. Continuous Growth and the Number e
    3. The Natural Logarithm
    4. Exponential Growth and Decay
    5. New Functions From Old
    6. Polynomials

Chapter 2 – Rate of Change: The Derivative

    1. Instantaneous Rate of Change
    2. The Derivative at a Point
    3. The Derivative Function
    4. Interpretations of the Derivative
    5. The Second Derivative
    6. Marginal Cost and Revenue

Chapter 3 – Accumulated Change: the Definite Integral

    1. Accumulated Change
    2. The Definite Integral
    3. The Definite Integral as Area
    4. Interpretations of the Definite Integral
    5. The Fundamental Theorem of Calculus

Chapter 4 – Short-Cuts To Differentiation

    1. Derivative Formulas for Powers and Polynomials
    2. Exponential and Logarithmic Functions
    3. The Chain Rule
    4. The Product and Quotient Rules

Chapter 5 – Using the Derivative

    1. Local Maxima and Minima
    2. Inflection Points
    3. Optimization: Profit and Revenue
    4. Average Cost
    5. Elasticity of Demand
    6. Logistic Growth
    7. The Surge Function and Drug Concentration

Grading Policy

Your grade will be determined by the following formula:
Two 1 1/2 hour exams(25% each)
Class participation, homework, quizzes(20%)
Final exam - 2 hours(30%)
Exam Schedule:
Exam 1 {6:30 - 8:00} Wednesday, March 14, locations to be announced
Make-up {6:30 - 8:00} Tuesday, March 13, HASA 124

Exam 2

{6:30 - 8:00} Wednesday, May 2, locations to be announced

Make-up

 {6:30 - 8:00} Tuesday, May 1, HASA 124

All exams are multiple choice.

You will need your calculator on all exams.

NO make-up exams, other than those listed above, will be given. In particular there will be no make-up exams at the end of the semester.

Grade Scales
A - 85.0%
AB - 80.0%
B - 75.0%
BC - 70.0%
C - 60.0%
CD - 55.0%
D - 50.0%
F - below 50.0%
EXAMPLE:
Exam/QuizScore%Adjusted Score
Exam 184(25)21.0
Exam 262(25)15.5
Homework, Quizzes, etc.76(20)15.2
Final Exam55(30)16.5
Total68.2
GradeC
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ASSIGNMENTS & SUGGESTED PROBLEMS

Email:
Click here to send a mail message: knightly@math.umass.edu
Last modified: Mon., January 8, 2001