DEPARTMENT OF MATHEMATICS
AND STATISTICS
MATHEMATICS 127 COURSE OUTLINE FALL 2005 p.1 of 2
TEXT: Applied
Calculus by Hughes-Hallett, et.al., (2nd
edition)
published by John Wiley & Sons.
Chapter
1 – Functions and Change
1.1 What Is A Function?
1.2 Linear Functions
1.3 Rates of Change
1.4 Applications of Functions to
Economics
1.5 Exponential Functions
1.6 The Natural Logarithm
1.7 Exponential Growth and Decay
1.8 New Functions From Old
1.9 Proportionality, Power
Functions, and Polynomials
Chapter
2 – Rate of Change: The Derivative
2.1 Instantaneous Rate of Change
2.2 The Derivative Function
2.3 Interpretations of the
Derivative
2.4 The Second Derivative
2.5 Marginal Cost and Revenue
Chapter
3 – Short-Cuts To Differentiation
3.1 Derivative Formulas for
Powers and Polynomials
3.2 Exponential and Logarithmic
Functions
3.3 The Chain Rule
3.4 The Product and Quotient
Rules
4.1 Local Maxima and Minima
4.2 Inflection Points
4.3 Global Maxima and Minima
4.4 Profit, Cost, and Revenue
4.7 Logistic Growth
4.8 The Surge Function and Drug Concentration
5.1 Accumulated Change
5.2 The Definite Integral
5.3 The Definite Integral as
Area
5.4 Interpretations of the
Definite Integral
5.5 The Fundamental Theorem of
Calculus
MATHEMATICS
127 COURSE OUTLINE FALL 2005 p. 2 of 2
Your
grade will be determined by the following formula:
Two 1 1/2 hour evening exams (25% each)
Class participation, homework,
quizzes (20%)
Final exam - 2 hours (30%)
Exam 1 Thursday 20 October, locations and time to be
announced
Make-up Wednesday 19 October,
locations and time to be announced
Exam 2 Thursday 17 November, locations and time to be
announced
Make-up Wednesday 16
November, locations and time to be announced
All exams are multiple choice.
Calculators may be used on all exams.
NO make-up exams, other than
those listed above, will be given.
The
following is an example of a student’s grade as computed at the end of the
semester:
A 85% Example:
A- 82% Score % Adjusted
Score
B+ 78% Exam 1 84 (25) 21.0
B
75% Exam
2
62 (25) 15.5
B-
72% Quizzes,
etc 76 (20) 15.2
C+ 67% Final Exam
55 (30) 16.5
C-
57% Grade C+
D+ 53%
D
50%
F
below 50%
Course Webpage navigation: Start
from: http://www.math.umass.edu
In
the section labeled Course click
on: Course
Descriptions & Homepages.
Next
click on: Links to Fall
2005 Courses.
Next
scroll down to: Math
127 and click on: Rudvalis
This
syllabus as well as other information such as exam times and locations will be
on
the above webpage as
will any updates of this syllabus
during the semester
The
lab for assistance on OWL Homework is located in Room 110 LGRT and the schedule
for this lab will be
posted on the course webpage described above.
We expect the lab to
begin operation for
F05 on Wednesday 14 September in the afternoon with a limited schedule
and operate on a full
schedule as of Monday 19 September.
Currently we expect the lab to
be open Monday
through Thursday 3-8 PM but we will
probably open it up for some
extra hours including
weekend hours during the week before each of the above midterms.
Math 127 Calculus
Fall 2005
Daily calendar for sections
with lectures on Tuesday and Thursday
OWL Homework:
Part of the 20% of your grade given for homework is obtained using the OWL computer homework system.
The nature of this system will be explained in class. It is the same system used in Chemistry and several other departments. The following is a tentative schedule of the lectures in the entire course.
Each OWL assignment will be opened in the system approximately
1 day before the lecture is given and will close
on a day specified in the assignment.
The first assignment
will be open for about two weeks in order to give you time to become familiar
with OWL and subsequent assignments will be open for shorter periods so that
a few weeks into the semester each assignment will be open for around five
days. Before each evening exam, the
OWL assignments will be reopened for a few days so that you can make up any
missed homework.
| Week of |
Tuesday |
Thursday |
Exams |
Suggested Homework |
||||
| 9/5 |
(Registration Day) |
1st day: organization, sec. 1.1 |
Sec.1.1: 1, 2, 3, 5, 6, 9, 10, 13, 17, 20 Sec.1.2: 1, 3, 5, 7, 9, 10, 12, 13, 14, 17, 19 |
|||||
| 9/12 |
1.1, 1.2, 1.3 |
1.3, 1.4, 1.5 |
Sec.1.3: 1, 3, 4, 6, 7, 8, 9, 11 Sec.1.4: 1, 2, 3, 4, 5, 6, 8, 10, 13, 18, 22, 24, 26 Sec.1.5: 1, 2, 3, 6, 7, 10, 11, 12, 15, 16, 24 |
|||||
| 9/19 |
1.5, 1.6 |
1.6, 1.7 & pp. 82-87 |
Sec.1.6: 1-12, 17-20, 22, 24, 26, 30, 31 Sec.1.7: 1, 2, 3, 5, 7, 8, 9, 10, 11, 16, 19, 24 |
|||||
| 9/20 |
Last Day to Add/Drop with no Record |
|||||||
| 9/26 |
1.7, 1.8 |
1.8, 1.9, 2.1 |
Sec.1.8: 1, 3, 4, 5, 8, 12, 19, 25 Sec.1.9: 1-10, 13, 15, 19, 21-25, 30 Sec.2.1: 1-7, 9, 10, 12, 13, 14, 18, 19 Sec.2.2: 1, 3, 7, 9, 11, 13, 14, 16, 18, 20, 21, 23 |
|||||
| 10/3 |
2.1, 2.2 |
2.3, 2.4 |
Sec.2.3: 1, 2, 3, 6, 9, 11, 15, 17 Sec.2.4: 1, 3, 4, 5, 7, 9, 11, 16, 18, 19, 20 |
|||||
| 10/10 |
2.4, 2.5, 3.1 |
3.1, 3.2 |
Sec. 2.5: 1,3,4,6,7,11,12 Sec.3.1: 1-25(odd),29, 31, 37, 39, 41-42, 49, 50 Sec.3.2: 1-21 (odd), 24-30 |
|||||
| 10/17 |
Review Chaps. 1, 2 |
Review Chap. 3.1 & 3.2 |
Exam 1 Th 10/20 |
|||||
| 10/24 |
3.3, 3.4 |
3.4, 4.1 |
Sec.3.3: 1-29 (odd), 32, 33, 36, 39 Sec.3.4: 3-29 (odd), 34,35,36 Sec.4.1: 1-17 (odd) |
|||||
| 10/31 Last day to drop with a “W” is 10/31 |
||||||||
| 10/31 |
4.2, 4.3 |
4.3, 4.4 |
Sec.4.2: 1-19 (odd), 26-29 Sec.4.3: 3, 5, 9, 10, 12, 13, 19, 20 Sec.4.4: 1, 3, 4, 5, 7, 10, 13, 15 |
|||||
| 11/7 |
4.7, 4.8 |
4.8 |
Sec.4.7: 1-5, 8-11, 13,14 Sec.4.8: 1-4, 6-8, 10, 11 |
|||||
| 11/14 |
Review Chs. 3, 4 |
Review Chs. 3, 4 |
Exam 2 |
Th 11/17 |
||||
| 11/21 |
5.1,5.2 |
Th 11/24 Thanksgiving |
Sec.5.1: 1, 2, 5, 6, 11, 13, 15 Sec.5.2: 1-5, 8, 10, 13, 14, 15, 17, 19 |
|||||
| 11/28 |
5.2, 5.3 |
5.3, 5.4 |
Sec.5.3: 2-8, 15, 17, 20, 21 Sec.5.4: 1-10 |
|||||
| 12/5 |
5.4, 5.5 |
5.5, Review |
Sec.5.5: 1-4, 6, 7, 9-12 & Ch. 5 Review: 4, 5, 6, 10, 14, 15, 18, 21, 22, 23 |
|||||
| 12/12 |
Review |
Wednesday 12/14 |
Last Day of Classes |
Final Exam: Date, Time, Place TBA |
||||
Math 127 Calculus
Fall 2005
Daily calendar for sections
with lectures on Monday, Wednesday and Friday
OWL Homework:
The 20% of your grade given for homework is obtained using the OWL computer homework system. The nature of this system will be explained in class. It is the same system used in Chemistry and several other departments. The following is a tentative schedule of the lectures in the entire course.
Each OWL assignment will be opened in the system approximately
1 day before the lecture is given and will close on
a day specified in the assignment. The
first assignment will be open for about
two weeks in order to give you time to become familiar with OWL and subsequent
assignments will be open for shorter periods so that a few weeks into the
semester each assignment will be open for around five days. Before each evening exam, the OWL assignments
will be reopened for a few days so that you can make up any missed homework.
| Week |
Monday |
Wednesday |
Friday |
Exams |
Suggested Homework |
|||
| 9/5 |
Labor Day |
1st day: organization |
1.1, 1.2 |
Sec.1.1: 1, 2, 3, 5, 6, 9, 10, 13, 17, 20 Sec.1.2: 1, 3, 5, 7, 9, 10, 12, 13, 14, 17, 19 |
||||
| 9/12 |
1.3, 1.4, |
1.4, 1.5 |
1.5, 1.6 |
Sec.1.3: 1, 3, 4, 6, 7, 8, 9, 11 Sec.1.4: 1, 2, 3, 4, 5, 6, 8, 10, 13, 18, 22, 24, 26 Sec.1.5: 1, 2, 3, 6, 7, 10, 11, 12, 15, 16, 24 Sec.1.6: 1-12, 17-20, 22, 24, 26, 30, 31 |
||||
| 9/19 |
1.6, 1.7 & pp. 82-87 |
1.7, 1.8 & pp. 82-87 |
1.8, 1.9 |
Sec.1.7: 1, 2, 3, 5, 7, 8, 9, 10, 11, 16, 19, 24 Sec.1.8: 1, 3, 4, 5, 8, 12, 19, 25 Sec.1.9: 1-10, 13, 15, 19, 21-25, 30 |
||||
| 9/20 |
Last Day to Add/Drop with no Record |
|||||||
| 9/26 |
1.9, 2.1 |
2.1,2.2 |
2.2, 2.3 |
Sec.2.1: 1-7, 9, 10, 12, 13, 14, 18, 19 Sec.2.2: 1, 3, 7, 9, 11, 13, 14, 16, 18, 20, 21, 23 Sec.2.3: 1, 2, 3, 6, 9, 11, 15, 17 |
||||
| 10/3 |
2.3, 2.4 |
2.4 & 2.5 |
3.1 |
Sec.2.4: 1, 3, 4, 5, 7, 9, 11, 16, 18, 19, 20 Sec. 2.5: 1,3,4,6,7,11,12 |
||||
| 10/10 |
Columbus Day |
3.2 |
Review Ch. 1 |
Sec.3.1: 1-25 (odd), 29, 31, 37, 39, 41, 42, 49, 50 Sec.3.2: 1-21 (odd), 24-30 |
||||
| 10/17 |
Review Ch. 2 |
Review 3.1 & 3.2 |
3.4 |
Exam 1 Th 10/20 |
Sec.3.3: 1-29 (odd), 32, 33, 36, 39 Sec.3.4: 3-29 (odd), 34, 35, 36 |
|||
| 10/24 |
3.4, 4.1 |
4.1, 4.2 |
4.2, 4.3 |
Sec.4.1: 1-17 (odd) Sec.4.2: 1-19 (odd), 26-29 Sec.4.3: 3, 5, 9, 10, 12, 13, 19, 20 |
||||
| 10/31 |
Last Day to Drop with a “W” |
|||||||
| 10/31 |
4.3, 4.4 |
4.4 |
4.7 |
Sec.4.4: 1, 3, 4, 5, 7, 10, 13, 15 Sec.4.7: 1-5, 8-11, 13,14 |
||||
| 11/7 |
4.7, 4.8 |
4.8 |
Veteran’s Day |
Sec.4.8: 1-4, 6-8, 10, 11 |
||||
| 11/14 |
Review |
Review |
5.1 |
Exam 2 Th 11/17 |
Sec.5.1: 1, 2, 5, 6, 11, 13, 15 |
|||
| 11/21 |
5.1, 5.2 |
No Class |
Thanksgiving |
Recess |
Sec.5.2: 1-5, 8, 10, 13, 14, 15, 17, 19 |
|||
| 11/29 |
5.2, 5.3 |
5.3 |
5.3, 5.4 |
Sec.5.3: 2-8, 15, 17, 20, 21 Sec.5.4: 1-10 |
||||
| 12/6 |
5.4, 5.5 |
5.5 |
Review |
Sec.5.5: 1-4, 6, 7, 9-12 & Ch. 5 Review: 4, 5, 6, 10, 14, 15, 18, 21, 22, 23 |
||||
| 12/13 |
Review |
Review W 14 Dec Last |
Day of Classes |
Final Exam: Date, Time, Place TBA |
||||