SPRING
SEMESTER, 2007
Calculus II Office
Hours: MW
Mathematics 162-1 T
4 Credit Hours R
MWF
Instructor: Al
Niemier Phone: 574-239-8381
Office: 179
Vincent e-mail: aniemier@hcc-nd.edu
PERQUISITES: Successful completion of MATH 161
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 TI-89 graphing calculator,
but will also reference the TI-83 graphing calculator. These calculators can be purchased at several
local discount stores in the South
Bend
COURSE DESCRIPTION:
This course is a continuation of MATH 161. It begins with a treatment of the natural
logarithm, exponential, trigonometric functions, hyperbolic function, and
differential equations. It then investigates area, solids of revolution, volumes
by both cylindrical shells and cross section methods, arc length, surfaces of
revolution, and work. Then, indeterminate forms and L’Hopital’s rule are
studied. Other topics include
integration by parts, trigonometric substitution, integrals of rational
functions, tables of integrals and improper integrals. The course ends with a
chapter on series and sequences, including the Maclaurin and
SPRING
SEMESTER, 2007
Calculus II Office
Hours: MW
Mathematics 162-1 T
4 Credit Hours R
MWF
Instructor: Al
Niemier Phone: 574-239-8381
Office: 179
Vincent e-mail: aniemier@hcc-nd.edu
PERQUISITES: Successful completion of MATH 161
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 TI-89 graphing calculator,
but will also reference the TI-83 graphing calculator. These calculators can be purchased at several
local discount stores in the South
Bend
COURSE DESCRIPTION:
This course is a continuation of MATH 161. It begins with a treatment of the natural
logarithm, exponential, trigonometric functions, hyperbolic function, and
differential equations. It then investigates area, solids of revolution,
volumes by both cylindrical shells and cross section methods, arc length,
surfaces of revolution, and work. Then, indeterminate forms and L’Hopital’s
rule are studied. Other topics include
integration by parts, trigonometric substitution, integrals of rational
functions, tables of integrals and improper integrals. The course ends with a
chapter on series and sequences, including the Maclaurin and
GOALS, OBJECTIVES,
AND PHILOSOPHY:
CONTENT GOAL: The student will understand and know how and when to use the above-listed calculus topics.
OBJECTIVE GOALS:
1. Technology: Students will use technology to manipulate, operated, and utilize a graphing calculator to analyze and describe function behavior. The computer algebra system Derive will aid in-depth explorations and understanding.
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 from other sources as soon as the need arises.
5. Be
an enthusiastic group participant.
COURSE REQUIREMENTS AND GRADING CRITERIA:
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, and
it will be necessary for you to read the textbook 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 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. 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 written assignments 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 be accepted for completeness, but will not be accepted for
credit 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 letter grade will be determined by the following scale:
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 152 of the Student Handbook.
2. Students are expected to attend class and submit all written assignments.
3. Student may take the regularly scheduled period exams (optional).
4. 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. Once class begins,
any student who leaves class, regardless of the reason, will be considered
absent. Hence, six points will be
deducted.
3.
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.
4. 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 162 CALCULUS II
SPRING SEMESTER 2007
|
Class Number |
Day |
Date |
Reading Assignment |
Written Assignment |
|
1 |
M |
1-15 |
Section
5.1 The Natural Logarithmic Function and Differentiation, pages 322 to 328 |
Please
Come J |
|
2 |
W |
1-17 |
Section
5.1 The Natural Logarithmic Function and Differentiation, pages 322 to 328 |
Section
5.1, pages 329 to 331: Every 3rd: 3, 6, 9, …, 96 |
|
3 |
R |
1-18 |
Section
5.2 The Natural Logarithmic Function and Integration, pages 332 to 337 |
Section
5.1, pages 329 to 331: Every 3rd: 3, 6, 9, …, 96 |
|
4 |
F |
1-19 |
Section
5.3 Inverse Functions, pages 341 to 346 |
Section
5.2, pages 338 to 340: every 3rd: 3, 6, 9,…, 54, 63, 69, 72, 75, 84, 87 |
|
5 |
M |
1-22 |
Section
5.4 Exponential Functions:
Differentiation and Integration, pages 350 to 355 |
Section
5.3, pages 347 to 349: Every 3rd: 3, 6, 9, …, 54, 63, 66, 72, 75, 78, 83, 87,
90 |
|
6 |
W |
1-24 |
Section
5.5 Bases Other Than e and Applications, pages 355 to 365 |
Section
5.4, pages 356 to 359: Every 3rd:
3, 6, 9, …, 18, 27, Every 3rd: 36, 39, 42, …, 72, 61, Every 3rd: 87, 90, 93, …, 108, 114 |
|
7 |
R |
1-25 |
Section
5.5, pages 366 to 370: Odd 1 to 9, 13, 15, 18, 20, Every 3rd: 21, 24, 27, …, 72, 84, 85, 87 |
|
|
8 |
F |
1-26 |
TBA |
TBA |
|
9 |
M |
1-29 |
Section
5.7 Inverse Trigonometric Functions and Integration, pages 380 to 384 |
Section
5.6, pages 377 to 379: Odd 5 to 35, Every 3rd: 42, 45, 48, … 66, 72, 75, 78 |
|
10 |
W |
1-31 |
Section
5.8 Hyperbolic Functions, pages 388 to 395 |
Section
5.7, pages 385 to 387: Every 3rd: 3, 6, 9, …,45, 63, 66 |
|
11 |
R |
2-1 |
Section
5.8, pages 396 to 398: Odd 1 to 27, every 3rd: 39, 42, 45, …, 87 |
|
|
12 |
F |
2-2 |
TBA |
TBA |
|
13 |
M |
2-5 |
Section
6.2 Differential Equations Growth and Decay, pages 413 to 417 |
Section
5.8, pages 396 to 398: Odd 1 to 27, every 3rd: 39, 42, 45, …, 87 |
|
14 |
W |
2-7 |
Section
6.3 Separation of Variables and the Logistic Equation, pages 421 to 428 |
Section
6.2, pages 418 to 420: Odd 1 to 13, odd 17 to 27, odd 33 to 39, odd 43 to 55 |
|
15 |
R |
2-8 |
Section
6.4 First Order Linear Differential Equations, pages 432 to 438 |
Section
6.3, pages 429 to 430: Every 3rd:
3, 6, 9, …, 42, 59, Every 3rd: 63, 66, 69, …,78, 73 |
|
16 |
F |
2-9 |
TBA |
TBA |
|
17 |
M |
2-12 |
Section
7.1 Area of a Region Between Two Curves, pages 446 to 451 |
Section
6.4, pages 438 to 440: 1, Every 3rd: 3, 6, 9, …, 30, 31, 36, 37 |
|
18 |
W |
2-14 |
None: CATCH UP AND REVIEW |
Section
7.1, pages 452 to 455: 1, 3, 5, 7, 17, 23, 25, 27, 31, 33, 35, 38, 43, 49,
53, 55, 73, 74 |
|
Class Number |
Day |
Date |
Reading Assignment |
Written Assignment |
|
19 |
R |
2-15 |
None: TEST ON CHAPTERS 5 AND 6 |
None: STUDY FOR TEST ON CHAPTERS 5 AND 6 |
|
20 |
F |
2-16 |
TBA |
TBA |
|
21 |
M |
2-19 |
Section
7.2 Volume: The Disk Method, pages 456
to 462 |
|
|
22 |
W |
2-21 |
Section
7.2 Volume: The Disk Method, pages 456
to 462; Section 7.3 Volume: The Shell
Method, pages 467 to 471 |
Section
7.2, pages 463 to 466: 1, 3, 7, 9, 13, 15, 20, 23, 25, 33, 35, 37, 39 |
|
23 |
R |
2-22 |
Section 7.3 Volume: < |