Instructor: 
Dr. Michael Oehrtman 
Office Hours: 
MW 2:15
pm –
4:15 pm 
Class Time: 
MWF 1:25 – 2:15 pm 


Location: 
ROSS 2060 


Class Website: 
http://www.unco.edu/nhs/mathsci/facstaff/oehrtman/math131/ 
Prerequisites:
Strong algebra and trigonometry background, an understanding
of basic
functions (polynomial, exponential, logarithmic, etc.), and a
willingness to work hard.
Required Text: HughesHallett, Gleason, McCallum,
et al., Calculus, 5^{th} ed, Wiley,
2009.
Technology: You will need a graphing calculator for this course. I strongly recommend a TI83, TI83 Plus or TI84. We will also use a computer algebra system called Mathematica® for lab activities. UNC has a site license for the software, and it is available in ROSS and UC labs. WeBWorK will be used for homework assignments, and course materials will be available on the class website.
Course
Description:
Inspired by
problems in astronomy, Isaac Newton and Wilhelm Gottfried Leibnitz developed the ideas of
calculus roughly
300 years ago. Since then, calculus has provided the
foundation for
advances in many other fields, even those which seem far
removed from
mathematics. You will find applications in chemistry,
physics,
economics, biology, medicine, business, psychology, and of
course
mathematics. Calculus is so important that it is often
considered the
gateway to many of the disciplines in which it is used.
The
importance of calculus lies in its power to reduce
complicated problems
to simple rules and procedures. While these procedures can
be (and
often are) taught with little regard to the underlying
mathematical
concepts or their practical uses, our emphasis will be on
understanding
all of these: concepts, procedures and uses. We will engage
in the full
mathematics process, which includes searching for patterns,
order, and
reason; creating models of real world situations to clarify
and predict
better what happens around us; understanding and explaining
ideas
clearly; and applying the mathematics we know to solve
unfamiliar
problems. Participation in this variety of mathematical
activities is
challenging, and for many students, the experience will be
vastly
different from experiences in more traditional mathematics
course.
So
what is
calculus? Very briefly, calculus is the study of changing
quantities.
It has two main themes: differentiation, which studies rates
of change
and is the focus of this course; and integration, which
studies
accumulating quantities and will be introduced this semester
but is
more fully developed in Calc II. Calculus
I is
an introduction to the tools, methods, and applications of
singlevariable differential calculus. Central concepts of
the course
are that of a function and its derivative. We begin by a
review of
basic functions and their properties. Next we’ll discuss a
concept of a
limit that is necessary to give the definition of a
derivative. After
mastering limits and their use in defining derivatives of
basic
functions, we’ll study a collection of simple rules that
allows us to
easily compute the derivative of any function expressible in
terms of
elementary functions. We’ll discuss
various
applications of differential calculus to reallife problems.
In
particular, we’ll talk about differential equations, their
(numerical)
solutions. Finally we will introduce the idea of the
definite integral
to model aspects of accumulation.
Goals: Our
course
is one of the General Education courses and it aims to
satisfy
the following outcome objectives in the area of Mathematics:
Labs: On
Tuesdays
we will work in small groups on labs that develop the
central
concepts in the course. Attendance and participation is
especially
crucial on these days. You will turn in individual writeups
of these
class activities and make presentations of your work to the
other
groups in the class. It is also important to ask questions
of the other
groups (who will generally work on related but slightly
different
problems than your own group) when they present as you will
be
responsible for all the problems on exams.
Attendance: There
may
be topics covered in class that are not in the text. You are
responsible for all material covered. I don't take
attendance, but
there is a strong correlation between attendance and final
grades.
Missing class more than once or twice during the semester is
likely to
affect your grade, either directly or indirectly. If you do
miss class,
you should get notes and/or handouts from your classmates
and/or see me
during office hours.
The key
to
success in this course is regularly working with other
students in the
class, doing the homework early and asking questions when
you have
them!!! We will
discuss
homework problems in class, but there will often not be
enough time to
discuss all of them. Please come to office hours or visit
the math
tutoring lab if you have additional questions about the
homework.
Late
Policy: WebWorK
assignments will have a closing date and time and will not
be accepted
late. All other work is due at the
beginning of class on the announced due date. I
may accept late written homework for reduced credit, until I
have
graded an assignment or project. After
I have
graded the pile, I will no longer accept late work and you
will receive
a 0. I generally grade materials
within a couple
days of collecting them, and sometimes grade them the same
day they are
collected. Expect to lose
approximately 10% for
each day an assignment is late.
Exams: We will have four inclass exams (roughly covering Chapters 1, 2, 4 and 5), and a comprehensive final exam. The final exam will be Monday, December 10^{th}, from 4:15 to 6:45 pm. Makeup exams are possible only if there is a documented emergency.
Gateway Test: There will be a WeBWorKbased test on differentiation after we have covered the shortcut rules for taking derivatives in Chapter 3. You will be able to take the test as many times as you like during the 2 week period that it is open. A passing grade is 6 out of 7, and each problem is graded as correct or incorrect (no partial credit). Successful completion of the Gateway Test during the allotted time frame is worth 2/3 of a letter grade.
Workload
and Assistance: You
should expect to spend 8 to 12 hours each week
outside of class
working on the course material. Some weeks (those in which
an exam is
scheduled, for instance) may require more of your time,
other weeks may
require less, but on average, budget 8 to 12 hours
each
week. I can’t stress enough that in order
to be
successful in this class you should spend much of this
time working
with other students in the class! Please ask questions
and seek
assistance as needed. You may email me at any time, and I encourage you
to make
use of my office hours and the Thursday group study room.
In addition there are two tutoring centers (see
http://www.unco.edu/tutoring.htm for hours and more
information):
The math tutoring lab is
located
in Ross 1250 and will open the second week of classes.
It is a great
place to go if you have a quick question or get stuck on
a particular
problem. No appointment is
necessary.
The university tutoring Center is located in Michener L120. It provides more personalized oneonone tutoring in many areas (including Mathematics). An appointment is necessary.
Collaboration: I assume that you are here to
learn. If you
talk to each other, you will learn from each other, perhaps
more than
you will learn from me. I encourage
you to form
study groups. Try the homework
yourself, and
then get together with a study group to go over questions,
and to study
for tests. You will learn a great
deal from
articulating your questions and explaining material to your
peers. Discussion of
assigned homework is
encouraged, but you should be sure you fully understand
the material by
writing your solutions on your own. Evidence
of
any cheating or collaboration on work assigned to be
completed
individually will result in a 0 for that work, at minimum.
Honor Code:
All members of the
Students with Disabilities: Students who require special accommodations due to a disability should contact Disabilities Support Services (3512289) as soon as possible to better ensure that accommodations are implemented in a timely fashion.
Grades will be determined as follows:Points 

Grade

Points
Earned 


Written Homework Sets  250 
A 
1300  1400  

Online
WeBWorK Assignments 
250 
A–  1260
 1299 


Derivative Gateway 
100 
B+ 
1215
 1259 


Chapter 1 Exam  100 
B 
1160  1214  
Chapter 2 Exam  150 
B–  1120  1159  
Chapter 4 Exam  150 
C+ 
1075  1119  
Chapter 5 Exam  150 
C 
980  1074  
Final Exam  __250__ 
D 
840 
979 

Total
Possible 
1400 
F 
0
 839 