DEPARTMENT OF MATHEMATICS AND STATISTICS
UNIVERSITY OF MASSACHUSETTS AT AMHERST
MATHEMATICS 127 COURSE OUTLINE SPRING 2006 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 SPRING 2006 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 9 March, locations and time to be announced
Make-up Wednesday 8 March, locations and time to be announced
Exam 2 Thursday 27 April, locations and time to be announced
Make-up Wednesday 26 April, 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 60% Total 68.2
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 Spring 2006 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. The Lab will begin
operation with a full schedule on Monday 6 February. The hours of operation will be
3PM - 8 PM Monday through Thursday with extra reviews (held outside the lab) prior
to the midterms and the Final.
Math 127 Calculus
Spring 2006
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. For the exact details of the HW/Quizzes grading policy for Sect. 2 (Gardner) and Sect. 3 (Hajir) please consult their individual webpages:
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 |
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| 1/30 |
1st day: organization, sec. 1.1 |
1.1, 1.2, 1.3 |
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 |
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| 2/6 |
1.3, 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 |
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| 2/13 |
1.6, 1.7 & pp. 82-87 |
1.7, 1.8 |
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 |
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| 2/13 |
Last Day to Add/Drop with no Record |
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| 2/20 |
Monday Class Schedule |
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 |
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| 2/27 |
2.1, 2.2 |
2.3, 2.4 |
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 Sec.2.4: 1, 3, 4, 5, 7, 9, 11, 16, 18, 19, 20 |
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| 3/6 |
2.4, 2.5, Review |
Review |
Exam 1 Th 3/9 |
Sec. 2.5: 1,3,4,6,7,11,12 |
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| 3/13 |
3.1, 3.2 |
3.2, 3.3 |
Sec.3.1: 1-25(odd),29, 31, 37, 39, 41-42, 49, 50 Sec.3.2: 1-21 (odd), 24-30 |
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| 3/20 |
Spring Break |
Spring Break |
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| 4/3 |
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 |
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| 4/10 |
4.7, 4.8 |
4.8 |
Sec.4.7: 1-5, 8-11, 13,14 Sec.4.8: 1-4, 6-8, 10, 11 |
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| 4/17 |
5.1 |
5.2 |
Sec.5.1: 1, 2, 5, 6, 11, 13, 15 Sec.5.2: 1-5, 8, 10, 13, 14, 15, 17, 19 |
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| 4/24 |
Review Ch. 3 |
Review Ch. 4 |
Exam 2 Th 4/27 |
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| 5/1 |
5.2, 5.3 |
5.3, 5.4 |
Sec.5.3: 2-8, 15, 17, 20, 21 Sec.5.4: 1-10 |
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| 5/8 |
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 |
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| 5/15 |
Review |
Wednesday 5/17 |
Last Day of Classes |
Final Exam: Date, Time, Place TBA during Finals week 19 May – 26 May |
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Math 127 Calculus
Spring 2006
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 |
|||
| 1/30 |
Registration 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 |
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| 2/6 |
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 |
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| 2/13 |
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 |
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| 2/13 |
Last Day to Add/Drop with no Record |
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| 2/20 |
1.9, 2.1 Monday Schedule on Tu 2/21 |
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 |
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| 2/27 |
2.3, 2.4 |
2.4 & 2.5 |
Review Ch. 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 |
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| 3/6 |
Review Ch. 1 & 2 |
Review Ch. 2 |
3.1 |
Exam 1 Th 3/9 |
Sec.3.1: 1-25 (odd), 29, 31, 37, 39, 41, 42, 49, 50 Sec.3.2: 1-21 (odd), 24-30 |
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| 3/13 |
3.1, 3.2 |
3.2, 3.3 |
No Class |
Sec.3.3: 1-29 (odd), 32, 33, 36, 39 Sec.3.4: 3-29 (odd), 34, 35, 36 |
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| 3/20 3/27 |
Spring . 3.3, 3.4 |
__ Break . 3.4, 4.1 |
___Week . 4.1, 4.2 |
. . 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 |
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| 3/29 |
Last Day to Drop with a “W” |
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| 4/3 |
4.2, 4.3 |
4.3, 4.4 |
4.4 |
Sec.4.4: 1, 3, 4, 5, 7, 10, 13, 15 Sec.4.7: 1-5, 8-11, 13,14 |
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| 4/10 |
4.7 |
4.7, 4.8 |
4.8, 5.1 |
Sec.4.8: 1-4, 6-8, 10, 11 Sec.5.1: 1, 2, 5, 6, 11, 13, 15 |
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| 4/17 |
Patriot’s Day Hol |
5.1, 5.2 (M Class Sch) |
5.2 |
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| 4/24 |
Review Ch. 3 |
Review Ch. 4 |
5.2, 5.3 |
Exam 2 Th 4/27 |
Sec.5.2: 1-5, 8, 10, 13, 14, 15, 17, 19 |
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| 5/1 |
5.3 |
5.3, 5.4 |
5.4, 5.5 |
Sec.5.3: 2-8, 15, 17, 20, 21 Sec.5.4: 1-10 |
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| 5/8 |
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 |
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| 5/15 |
Review |
Review W 17 May |
Last Day of |
Classes |
Final Exam: Date, Time, Place TBA during Finals Week (5/19 - 5/26) |
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