DEPARTMENT OF MATHEMATICS AND STATISTICS

UNIVERSITY OF MASSACHUSETTS AT AMHERST

 

MATHEMATICS 127                       COURSE OUTLINE SPRING 2008  p.1 of 2

 

TEXT:  Applied Calculus by Hughes-Hallett, et.al.,  (3nd 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

Chapter 4 – Using the Derivative

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

Chapter 5 – Accumulated Change:  the Definite Integral

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

 

Policy Statement on Calculators: Although we do not REQUIRE students to have anything more than a scientific calculator, we strongly recommend that students have a graphing calculator, especially for material in the course after Midterm 1. The instructors and the TAs are familiar with and can help you use any of the TI-8x calculators, i.e. TI-82, TI-83, TI-84, TI-85, TI-86 and TI-89. If you use another graphing calculator, such as an HP or a Casio we may not be able to help you with using it unless you also bring the manual when you come for help and we do not guarantee that we can help you with these other calculators even if you have a manual although it is likely that we will be able to figure things out with the manual.

 

MATHEMATICS 127                       COURSE OUTLINE SPRING 2008              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 6 March, locations and time to be announced

                Make-up     Wednesday 5, locations and time to be announced

 

            Exam 2            Thursday 17 April, locations and time to be announced

                Make-up      Wednesday 16 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:

 

Grade Scales

 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 2008 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 Mon, 4th Feb. The hours of operation will be

3PM - 8 PM  Monday through Thursday.

There will be extra reviews (held outside the lab) prior to the midterms and the Final.

 

 

 

 

Math 127   Calculus

Spring 2008

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 almost 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 six 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

9/3

Labor Day

1st day:
organization

1.1, 1.2

 

Sec.1.1: 2-10(even), 13, 16, 19, 21
Sec.1.2: 2-8(even), 9, 11-14, 18

9/10

1.2, 1.3,

1.3, 1.4

1.4, 1.5

 

Sec.1.3: 1, 3, 4, 5, 6, 12, 18, 25
Sec.1.4: 2-7, 12, 15, 22, 27, 28, 35
Sec.1.5: 1-9(odd), 10-13, 17-20

9/17

1.5, 1.6  

1.7 &
pp. 82-87

 1.8

 

Sec.1.6: 1-12, 17-20, 21-29(odd)
Sec.1.7: 2, 6-11, 16, 18, 20
Sec.1.8: 1-7(odd), 8, 11, 12, 22, 23, 28, 30

9/17

Last Day to Add/Drop with no Record is Monday 9/17

9/25

1.9

      2.1

2.1, 2.2

 

Sec.1.9: 1-10, 14, 16, 22, 25, 28-32
Sec.2.1: 1, 3, 4, 6, 7, 9, 11-15, 20, 23, 24
Sec.2.2: 2, 4, 6, 9-17(odd), 21, 22, 24

10/1

2.2, 2.3

2.3, 2.4

2.4, 2.5

 

Sec.2.3: 2, 4, 7, 9, 12, 17, 19, 20, 23, 26
Sec.2.4: 1, 2-8(even), 12, 19, 23-25
Sec.2.5: 2, 4, 5, 7-10

10/8

Columbus Day
M Sch
on Tu 10/9

3.1, 3.2

3.2, 3.3

 

Sec.3.1: 1, 4-16(even), 24, 25, 30, 32, 34, 39, 44, 46, 49, 50, 59
Sec.3.2: 1, 2-16(even), 17-21(odd), 24-31

10/15

 Review
Ch. 1

Review
Ch. 2

Review
3.1 - 3.3

Exam 1
Th 10/18

Sec.3.3: 2-30(even), 35, 36, 44, 47

10/22

     3.4

       4.1

    4.2

 

Sec.3.4: 3, 6-30(even), 36, 40, 41
Sec.4.1: 2-16(even), 21, 26
Sec.4.2: 2-10(even), 13, 17, 20-25, 33

10/29

     Last Day to Drop with a “W” is 10/29

10/29

4.3

4.4

4.7

 

Sec.4.3: 5, 7, 12, 13, 16, 37, 38, 43
Sec.4.4: 1, 6, 15, 16, 17, 21, 26, 29

11/5

4.7, 4.8

4.8

Review

 

Sec.4.7: 1, 2, 8-16
Sec.4.8: 1-5, 9-12

11/12

Veterans' Holiday

Review
M Schedule

5.1

Exam 2
Th 11/15

Sec.5.1: 1, 2, 4, 12-14, 17

11/19

5.1, 5.2

No Class

Thanksgiving

Recess

Sec.5.2: 2, 4, 5, 8, 9, 10-12, 17, 18, 20, 22

11/26

5.2, 5.3

5.3

5.3, 5.4

 

Sec.5.3: 1, 2, 4-7, 10, 18, 22-24
Sec.5.4: 2-18(even), 21

12/3

5.4, 5.5

5.5

Review

 

Sec.5.5: 1, 4, 6-13 
Ch. 5 Review: 2-4, 9, 10, 14, 20, 28, 33, 34

12/10

Review

      Review

      Review

Last Day of
Classes 12/14

Final Exam: Date, Time, Place  TBA

 

 

 

Math 127 Calculus

Fall 2007
Daily calendar for sections with lectures on Tuesday and Thursday

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 almost 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 six 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

Tuesday

Thursday

Exams

Suggested Homework

9/3

1st day:
organization, 1.1

1.1, 1.2

 

Sec.1.1: 2-10(even), 13, 16, 19, 21
Sec.1.2: 2-8(even), 9, 11-14, 18

9/10

1.3, 1.4

1.4, 1.5

 

Sec.1.3: 1, 3, 4, 5, 6, 12, 18, 25
Sec.1.4: 2-7, 12, 15, 22, 27, 28, 35
Sec.1.5: 1-9(odd), 10-13, 17-20

9/17

1.6, 1.7

1.7 &
pp. 82-87

 

Sec.1.6: 1-12, 17-20, 21-29(odd)
Sec.1.7: 2, 6-11, 16, 18, 20

9/17

     Last Day to Add/Drop with no Record is 9/17

9/24

1.8, 1.9

2.1, 2.2

 

Sec.1.8: 1-7(odd), 8, 11, 12, 22, 23, 28,30 Sec.1.9: 1-10, 14, 16, 22, 25, 28-32
Sec.2.1: 1, 3, 4, 6, 7, 9, 11-15, 20, 23, 24
Sec.2.2: 2, 4, 6, 9-17(odd), 21, 22, 24

10/1

2.2, 2.3

2.3, 2.4, 2.5

 

Sec.2.3: 2, 4, 7, 9, 12,17, 19, 20, 23, 26
Sec.2.4: 1, 2-8(even), 12, 19, 23-25

10/8

M Sch on
Tu 10/19

3.1, 3.2

 

Sec. 2.5: 2, 4, 5, 7-10
Sec.3.1: 1, 4-16(even), 24, 25, 30, 32, 34, 39, 44, 46, 49, 50, 59           
Sec.3.2: 1, 2-16(even), 17-21(odd), 24-31

10/15

Review
Chap. 1

Review or
Chap. 2

Exam 1

Th 10/18

10/22

Review

3.1 & 3.2
3.3

3.4, 4.1

 

Sec.3.3: 2-30(even), 35, 36, 44, 47
Sec.3.4: 3, 6-30(even), 36, 40, 41
Sec.4.1: 2-16(even), 21, 26

Last day to drop with a “W” is 10/29

10/29

4.1, 4.2, 4.3

4.3, 4.4, 4.7

 

Sec.4.2: 2-10(even), 13, 17, 20-25, 33
Sec.4.3: 5, 7, 12, 13, 16, 37, 38, 43
Sec.4.4: 1, 6, 15, 16, 17, 21, 26, 29

11/5

4.7, 4.8

4.8

 

Sec.4.7: 1, 2, 8-16
Sec.4.8: 1-5, 9-12

11/12

Review Chs. 3, 4

Review Chs. 3, 4

Exam 2

Th 11/16

11/19

5.1,5.2

Th  11/22
Thanksgiving

 

Sec.5.1: 1, 2, 4, 12-14, 17;
Sec.5.2: 2, 4, 5, 8, 9, 10-12, 17, 18, 20, 22

11/26

5.2, 5.3

5.3, 5.4

 

Sec.5.3: 1, 2, 4-7, 10, 18, 22-24
Sec.5.4: 2-18(even), 21

12/3

5.4, 5.5

5.5, Review

 

Sec.5.5: 1, 4, 6-13
Ch. 5 Review: 2-4, 9, 10, 14, 20, 28, 33, 34

12/10

Review

Review

Last Day of
Classes 12/14

     Final Exam: Date, Time, Place  TBA

Students using the 2nd edition of Hughes-Hallett will need to consult the S06 Syllabus for M127 for the Suggested Homework