DEPARTMENT OF MATHEMATICS AND STATISTICS

UNIVERSITY OF MASSACHUSETTS AT AMHERST

MATHEMATICS 127�� COURSE OUTLINE�� FALL 2005� p.1 of 2

TEXT:� Applied Calculus by Hughes-Hallett, et.al.,� (2^nd 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

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:

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 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)	1^st 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.

Week	Monday		Wednesday	Friday	Exams		Suggested Homework
9/5	Labor Day		1^st 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