
Fall Semester, 2007
Calculus I Office
Hours: MW 9:30 a.m.-10:15 a.m.
Mathematics 161-1 T
8:30 a.m. - 11:30 a.m.
4 Credit Hours W
11:45 a.m. – 12:45 p.m.
MWF
“Heyugotaminute”
Instructor: Al
Niemier Phone: 219-239-8381
Office: 179
Vincent e-mail: aniemier@hcc-nd.edu
PERQUISITES: Successful completion of MATH
125
TEXTBOOKS AND/OR
EQUIPMENT/SUPPLIES: Purchased by student
REQUIRED
TEXTBOOK: CALCULUS with Analytic
Geometry 8th Edition (Package) by Roland E. Larson, Robert P.
Hostetler, and Bruce Edwards, published by Houghton Mifflin Company, Copyright:
2006, ISBN# 0-618-64074-6
REQUIRED GRAPHING
CALCULATOR: Each student is required to
have a graphing calculator. In class,
the instructor will be using the TEXAS INSTRUMENT TI-83 or TI-89 graphing
calculator. This calculator can be
purchased at several local discount stores in the
COURSE
DESCRIPTION: COURSE DESCRIPTION: A
calculus course intended for science and engineering majors, this course covers
the usual topics found in differentiation and integration, but with more
mathematical rigor than MATH 141 and 142.
The course ends with the presentation of definite integrals and its
properties. The sequence, MATH 161-162,
is designed to fulfill the calculus requirement for science-intended students
whose programs require a one-year terminal course in calculus or to prepare
students to take Calculus III at their transfer institution. It is also appropriate for students intending
a major in liberal arts or business administration and desiring a thorough
exposure to calculus. The Calculus I course will concentrate on the study of
limits and continuity, differentiation, applications of the derivative, and
integrals. Topics
include (but not limited to) selected sections from the following chapters:
Chapter 1 - Limits and Their Properties, Chapter 2 – Differentiation, Chapter 3
- Applications of Differentiation, Chapter 4 - Integration
GOALS AND OBJECTIVES:
CONTENT GOAL: The
student will understand and know how and when to use the above-listed calculus
topics. The computer algebra system Derive
will aid in-depth explorations and understanding.
OBJECTIVE GOALS:
for transfer to a senior institution. This class requires students to practice the following transferable skills:
1. Technology: Students will use technology to manipulate, operated, and utilize a graphing calculator, and the computer algebra system Derive to analyze and describe function behavior.
2. Oral Communication: Students will listen effectively in class and learn to speak on mathematical topics and ideas using proper terminology.
3. Writing: Students will write all homework assignments. Written work for each problem will include as a minimum the set-up and key steps in the problem leading to the final result. Students will not plagiarize, but will develop their own written assignments.
4. Quantitative Reasoning: Students will develop a quantitative reasoning process for the topics listed in the course description.
5. Critical Thinking: Students will be able to ask relevant questions related to course topics, recognize the connections between the mathematical information presented and real life situations, and apply mathematical concepts to real life situations.
6. Creative Thinking: Students should be able to develop and ask alternative questions to some or similar mathematical concepts.
7.
COURSE PHILOSOPHY:
Learning mathematics depends more on hard work than on any other
factor. Your success is dependent upon your willingness to exert sufficient effort. To succeed in this course your must:
1. Devote minimum of two hours of outside of class study for every one-hour of actual class.
2. Attend every class.
3. Come to class prepared and willing to help your classmates.
4. Seek help from me or another person as soon as the need arises.
5.
Be an enthusiastic group participant.
GRADING CRITERIA AND REQUIREMENTS:
EXAMS: There will be
four scheduled full period exams during the semester. The dates of
these exams are
indicated on the ASSIGNMENT SCHEDULE.
Since these dates of the scheduled exams are stipulated at the start of
the semester, it is expected that each student will make every effort to be
present for each exam. MAKE-UP
EXAMS WILL NOT BE GIVEN!! The
Registrar’s Office schedules the final exam.
ASSIGNMENTS: There
is a large body of educational research, which supports that active involvement
with the material is the only way to gain a true understanding of mathematical
concepts. Hence, you are encouraged and
expected to “dig in” and learn through active involvement with the subject
matter and your classmates. You are expected
to read the textbook, and it will be necessary for you to read the text
in order to complete assignments.
Sometimes it will be necessary to look back or forward in the
text to find information and definitions that you need. You are responsible for your own
learning. I am eager to assist you in
every way that I can. It is important
for you to realize that it is not possible to receive answers to all questions
during class time. You are responsible
for finding answers to your questions, from me during office hours, from the
HOMEWORK: Homework
will be assigned as per the attached ASSIGNMENT SCHEDULE.
Homework is a key
to success in this course. Perform
each assignment and conscientiously attempt each and every problem in every
assignment. Do not allow yourself to
fall behind. Leaving a section without
mastering it undermines your chances for success with subsequent sections. Mathematics cannot be “put off and crammed”
in a couple of days before an exam.
Problems on the exams will be similar to the homework problems.
Use a three-ring
binder for your class notes and homework papers rather than a spiral
notebook. If you use a binder, you can
remove and add pages as needed and keep your homework well organized. Your notebook will be a valuable reference
and study resource.
READING ASSIGNMENTS
that are listed on the ASSIGNMENT SCHEDULE refer to those sections of your text
that you should read PRIOR to coming to class.
They contain the bulk of the material that will be presented in class
that day. References will be made to the
material in the assigned sections during class presentation.
WRITTEN ASSIGNMENTS
are problems that should be done before coming to class. They are based on material that already has
been presented and explained. These
problems are also listed on the ASSIGNMENT SCHEDULE. Most of these problems have the answers in
the back of the book, which will allow you to check your answer. You should do enough of these problems to be
completely familiar with the material covered.
Hopefully, you would do some of the problems, which do not have answers,
and also some of the problems that are not assigned. I may also assign additional problems not
listed on the ASSIGNMENT SCHEDULE. These
problems will also be expected to be completed for the next class. It is suggested that you keep your problems
neatly together in a three ring binder.
Homework will be
assigned each class period as per the ASSIGNMENT SCHEDULE and the following
assumptions are made.
1. You are completing your homework assignments between class meetings.
2.
You are studying and practicing calculus
mathematics a minimum of two hours of outside of class study for
every one-hour of actual class. Also,
understand that more time should be allotted when preparing for exams.
3.
You are studying individually and working regularly with
classmates.
4.
You are responsible for your own learning, and so you will ask questions
in class discussion, in my office, at the
5. You cannot truly be “stumped” until you have given the problem serious consideration and ample time.
6. You cannot completely understand nor remember a new concept until you have applied it repeatedly to solve problems.
HOMEWORK FORMAT: TO BE OBSERVED ON ALL
ASSIGNMENTS:
1.
Each day’s homework/written assignment must be on my
desk BEFORE the start of class.
Homework/assignments will only be accepted if the student is present in
class the day the homework/assignment is due.
Any homework not turned in by the time the graded homework papers are
returned will be considered late and thus will count at 50%. Any homework that is two or more class
periods late will not be accepted and will be given a score of zero.
2.
Homework must be written in pencil and should NOT be
written on spiral paper.
3.
Papers should not be folded and, if more than one
page, must be stapled in the upper left-hand corner.
4.
In the upper right-hand corner write the student’s
name, course number, assignment section number, assignment page number, and
assignment due date.
5.
If you decide to change a problem, erase neatly and
thoroughly. “Scratch outs” will not be
accepted. In general, any paper bearing
the appearance of “scratch work”, or any paper that appears to be list of answers
with NO supporting work will NOT be accepted and will be given a grade of zero.
6.
I will choose a problem(s) at random to grade. It is essential that you complete each day’s
assignment. You cannot be sure you have
worked the problem(s) that will be graded unless you have worked all assigned
problems.
TUTORING: You are encouraged to make use of the
Learning Resource Center (LCR). Hours
are posted. Peer tutors, adult tutors, and teachers are available to help you
FREE OF CHARGE. Videotapes may be
checked out of the library and may be viewed at the LRC or taken back to dorm
rooms. Math tutorials corresponding to
all sections in the book are accessible in the computer lab and the LRC for
extra practice. A CD is included with
your text that has a video lesson for each section from the text, along with
guided practice problems.
ACADEMIC
HONESTY POLICY:
GRADING SCALE: Your final grade will be
determined from the following:
1. 60%-from
the four scheduled period exams. Each scheduled period exam will count 15%.
2. 20%-from homework and class
participation. Each graded homework
assignment will be worth 10 points. The total graded homework/written
assignment score will be proportioned to a score based on 100 points.
3. 20%-from
the final exam. The final exam will not
be returned. If the student has
submitted 80% of his/her assignments, AND
has at least a 80% average on the total of all assignments, AND has no more than three (3) absences
(regardless of the reason), then the student will have the option of having the
final exam score replace their lowest regular period exam score. For this purpose two (2) tardies will be the
equivalent to one absence.
4. If a
student has a grade of “B” or better, AND has never been late to
class AND has never been absent from class, AND the student has submitted 80% of his/her
assignments, AND has at least a 80%
average on the total of all assignments, then the student will be allowed to exercise the
option of NOT taking the final exam.
If the student meets these qualifications, then the student’s final
semester grade will be the grade earned as of the last day of class for the
semester.
The semester letter grade will be given based on scheduled period exams, homework and class participation, and your final exam. Grading will be done on a point system. The points will be converted to a percentage, and the following scale will determine the letter grade:
95-100 = A
87--89.99 = B+ 80-82.99 =
B- 70-76.99 = C 60-65.99 = D
90-94.99
= A- 83--86.99 = B 77-79.99 = C+ 66-69.99 = C- 0-59.99 = F
WITHDRAWAL:
AUDIT: The following are strongly suggested for a student to successfully audit the class:
1. Audit Policy as stated on page 154 of the Student Handbook.
2. Student may take the regularly scheduled period exams (optional).
3. Student
may take the final exam (optional).
ATTENDANCE: There is a direct correlation
between regular class attendance and student’s success in class. A student will find it very difficult to
successfully pass the class if he/she does not attend class regularly. Hence, regular class attendance is highly
encouraged. Regular class attendance
will affect your final grade in the course in each of the following ways.
1. Each student will begin with 24 extra
credit test points. Regardless of the
reason, each day a student is absent six points will be deducted. Regardless of the reason, each day the
student is less than fifteen minutes late to class (tardy) three points
will be deducted. If the student is
fifteen or more minutes late to class, the student will be considered absent
and six points will be deducted.
2. If a student has no more than three (3)
absences (regardless of the reason), then the student will have the option of
having the final exam score replace their lowest regular period exam score, PROVIDED the student has submitted 80%
of his/her assignments, AND has at
least a 80% average on the total of all assignments. For this purpose two (2) tardies will be
equivalent of one absence. A
student who leaves class is also considered absent.
3. If a student has a grade of “B” or better, AND has never
late or absent from class, AND the student has submitted 80% of his/her assignments, AND has at least a 80% average on the
total of all assignments, then
the student will be allowed to exercise the option of NOT taking the
final exam. If the student meets these
qualifications, then the student’s final semester grade will be the grade
earned as of the last day of class for the semester.
This
policy on attendance will be effective starting with the first day of class.
REQUESTING ACCOMMODATIONS FOR A DISABILITY: Students requesting accommodations for specific requirements for class and/or testing must have on file, through the office of Brother Christopher J. Dreyer, C.S.C., L.C.S.W., a Request for Accommodations form. Such students are highly encouraged to discuss with me their specific class and/or testing requirements at their earliest convenience. In general, for testing purposes, twice the amount of the regular testing time will be allowed. In this regard, it is the responsibility of the student to request specific testing accommodations 48 hours prior to a scheduled test/exam.
ASSIGNMENT SCHEDULE MATH 161 CALCULUS I
|
Class Number |
Day |
Date |
Reading Assignment |
Written Assignment |
|
1 |
M |
8-27 |
Section 1.2 Finding Limits Graphically and Numerically, pages 48 to 54 |
Please Come |
|
2 |
W |
8-29 |
Section 1.3 Evaluating Limits Analytically, pages 59 to 66 |
Section 1.2, pages 54 to 58: Odd 3 to 25, 29, 31, 33, 39, 42, 45, 48 |
|
3 |
R |
8-30 |
Section 1.3 Evaluating Limits Analytically, pages 59 to 66 |
Section 1.3, pages 67 to 69: Every 3rd: 3, 6, 9,…,78, 83, 85, 87, All 101 to 104 |
|
4 |
F |
8-31 |
Section 1.4 Continuity and One-Sided Limits, pages 70 to 78 |
Section 1.3, pages 67 to 69: Every 3rd: 3, 6, 9,…,78, 83, 85, 87, All 101 to 104 |
|
5 |
M |
9-3 |
Section 1.4 Continuity and One-Sided Limits, pages 70 to 78 |
Section 1.4, pages 78 to 82: All 1 to 6, 11, 14, 17, 19, All 25 to 28, Every 3rd: 33, 36, 39,…,57, 59, 61, All 69 to 72, 75, 76, 79, 81, 83, 85 |
|
6 |
W |
9-5 |
Section 1.5 Infinite Limits, pages 83 to 87 |
Section 1.4, pages 78 to 82: All 1 to 6, 11, 14, 17, 19, All 25 to 28, Every 3rd: 33, 36, 39,…,57, 59, 61, All 69 to 72, 75, 76, 79, 81, 83, 85 |
|
7 |
R |
9-6 |
Section 2.1 The Derivative and the Tangent Line Problem, pages 96 to 103 |
Section 1.5, pages 88 to 90: Every 3rd: 3, 6, 9,…,51, 31, 59, 62 |
|
8 |
F |
9-7 |
Section 2.1 The Derivative and the Tangent Line Problem, pages 96 to 103 |
Section 2.1, pages 103 to 106: All 1 to 4, Every 3rd: 3, 6, 9,…,96 |
|
9 |
M |
9-10 |
Section 2.2 Basic Differentiation Rules and Rates of Change, pages 107 to 114 |
Section 2.1, pages 103 to 106: All 1 to 4, Every 3rd: 3, 6, 9,…,96 |
|
10 |
W |
9-12 |
CATCH UP AND REVIEW |
Section 2.2, pages 115 to 118: Every 3rd: 3, 6, 9,…,66, All 83 to 89, 91, All 93 to 96 |
|
11 |
R |
9-13 |
TEST ON CHAPTER 1 |
STUDY FOR CHAPTER 1 TEST |
|
12 |
F |
9-14 |
Section 2.3 The Product and Quotient Rules and Higher-Order Derivatives, pages 119 to 125 |
Please Come Back J |
|
13 |
M |
9-17 |
Section 2.4 The Chain Rule, pages 130 to 136 |
Section 2.3, pages 126 to 129: Every 3rd:: 3, 6, 9,…,87, Odd 93 to 101 |
|
14 |
W |
9-19 |
Section 2.5 Implicit Differentiation, pages 141 to 145 |
Section 2.4, pages 137 to 140: Every 3rd: 3, 6, 9,…,90 |
|
15 |
R |
9-20 |
TBA |
Section 2.5, pages 146 to 148: Every 3rd: 3, 6, 9,…,5 |
|
16 |
F |
9-21 |
Section 2.5 Implicit Differentiation, pages 141 to 145 |
TBA |
|
Class Number |
Day |
Date |
Reading Assignment |
Written Assignment |
|
17 |
M |
9-24 |
Section 2.6 Related Rates, pages 149 to 153 |
Section 2.5, pages 146 to 148: Every 3rd: 3, 6, 9,…,51 |
|
18 |
W |
9-26 |
Section 2.6 Related Rates, pages 149 to 153 |
Section 2.6, pages 154 to 157: 1, 3, 5, 7, 13, 15, 19, 21, 23, 26, 30, 32, 33, 34, 35, 44, 46 |
|
19 |
R |
9-27 |
TBA |
Section 2.6, pages 154 to 157: 1, 3, 5, 7, 13, 15, 19, 21, 23, 26, 30, 32, 33, 34, 35, 44, 46 |
|
20 |
F |
9-28 |
Section 3.1 Extrema on an Interval, pages 164 to 168 |
TBA |
|
21 |
M |
10-1 |
Section 3.2 Rolle’s Theorem and the Mean Value Theorem,
pages 172 to 175 |
Section 3.1, pages 169 to 171: 1, 2, Every 3rd: 3, 6, 9,…, 48, 49, All 53 to 57, 61 |
|
22 |
W |
10-3 |
CATCH UP AND REVIEW |
Section 3.2, pages 176 to 178: 1, 2, Every 3r: 3, 6,
9,…,51, 37 |
|
23 |
R |
10-4 |
TEST ON CHAPTER 2 |
STUDY FOR CHAPTER 2 TEST |
|
24 |
F |
10-5 |
Section 3.3 Increasing and Decreasing Function and the
First Derivative Test, pages 179 to 185 |
Near The Halfway Point JJ |
|
25 |
M |
10-8 |
Section 3.3 Increasing and Decreasing Function and the First Derivative Test, pages 179 to 185 |
Section 3.3, pages 186 to 189: Every 3rd: 3, 6, 9,…,69 |
|
26 |
W |
10-10 |
Section 3.4 Concavity and the Second Derivative Test, pages 190 to 194 |
Section 3.3, pages 186 to 189: Every 3rd: 3, 6, 9,…,69 |
|
27 |
R |
10-11 |
TBA |
Section 3.4, pages 195 to 197: Every 3rd: 3, 6, 9,…,39, 41, 53, 55, 62 |
|
28 |
F |
10-12 |
Section 3.4 Concavity and the Second Derivative Test, pages 190 to 194 |
TBA |
|
29 |
M |
10-15 |
Section 3.5 Limits at Infinity, pages 198 to 204 |
Section 3.4, pages 195 to 197: Every 3rd: 3, 6, 9,…,39, 41, 53, 55, 62 |
|
30 |
W |
10-17 |
Section 3.6 A Summary of Curve sketching, pages 209 to 214 |
Section 3.5, pages 205 to 208: Every 3rd: 3, 6, 9,…,45, 55, 57, 61, 73, 77, 81, 83 |