Instructor: 
Dr. Michael Oehrtman 
Office Hours: 
MTWF
12:30 – 1:30 pm 
Class Time (crn 12385): 
MWF 10:10 – 11:00 am, ROSS 2275 


Class Time (crn 12393):  MWF 3:35– 4:25 pm, McKee 338 T 3:35– 4:25 pm, CAND 2135 




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 9^{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 