Math 110: Calculus with Review
Fall 2014
Instructor: Dan Sievewright
E-mail: dsievewr@kzoo.edu
Office: 203 D Olds Upton
Office Hours: Monday, Wednesday, Friday: 1:00 - 2:00, Tuesday, Thursday: 2:00 - 3:00,
Or by appointment. My office door will be open most afternoons as well as Tuesday, Thursday and
Friday mornings, feel free to stop by.
Required Texts:
• A Companion to Calculus 2nd ed. by Ebersole, Schattschneider, Sevilla, and Somers.
• Calculus: Concepts and Contexts 4th ed. by James Stewart (we will be using Chapters 1-4
for Math 110 and 111, Calc 2 uses Chapters 5-8, and Calc 3 uses Chapter 9-13).
Contents and Goals: This course is part of a two quarter sequence that covers the same material
as Math 112: Calculus 1. However, this course also spends much more time on review of background
materials: exponential functions, logarithms, trig. functions, etc. The main goal of Math 110 and
111 is to master the algebraic and analytic skills covered in this course. Students will improve their
mathematical reading and writing skills, critical thinking skills, and their ability to formulate and
ask questions.
If you pass both Math 110 and 111, you will be considered to have completed the equivalent of
Math 112, and can use them interchangeably when it comes to prerequisites. If you pass only the
first quarter, you will receive a credit, but will not be considered to have completed the equivalent
of Math 112.
Class: The method of teaching mathematics at Kalamazoo College is based on a three day cycle,
with each chunk of material passing through all of the following stages: premonition, revelation,
reinforcement, and feedback.
Preparing for class on day n:
1. Complete the assigned reading, which will cover the topic introduced on day n − 1. You
should read actively, pencil in hand, and take note of any points in the exposition that you
find unclear. It is also a good idea to work out the examples presented in the book, and
compare your work to that of the author. You may wish to do this with a friend or at the
Math-Physics Center (MPC).
2. Do the warm-up problems for the section(s) you’ve just read. Think about what the problems
suggest are the essential points in the reading. Are they the ones you identified in your own
reading? These problems can be done with a friend or at the MPC. Be prepared to present
solutions at the next class meeting. Doing these problems will help you participate in the
discussion, and will also prepare you for the next set of hand-in problems.
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3. Write up the hand-in problems on material introduced on day n − 2 and discussed on day
n − 1. These are due at the beginning of class. The solutions need to be your own work, but
it’s okay (in fact encouraged) to discuss the problems with a friend or someone from the MPC.
It is not okay to copy the work of a fellow student or MPC consultant. In order to receive full
credit for these assignments, you’ll need to write them up clearly and provide ample support
for your conclusions. Unsupported answers rarely receive full credit.
Typical class meeting on day n:
1. Hand in your written solutions to material introduced on day n − 2.
2. Discuss the reading and warm-up problems on the topic introduced on day n − 1. You will
occasionally be called upon to write up your own solutions to these problems on the board.
These presentations will form part of your warm-up grade and you will receive participation
points as well. Another way to participate is to add to the discussion of other people’s
solutions.
3. Introduce new material and lay the conceptual foundations for the reading and warm-up
problems in the next assignment.
Evaluation:
Component
Mastery Exam
Weight
5%
Homework
5% Warm-ups
15% Hand-ins
Quizzes
15%
Participation
5%
Midterms
15% Each
Final
25%
Mastery Exam:
This is an opportunity to demonstrate your mastery of algebra. This is an exam which you can
repeat as many times as necessary until you are able to complete it without error. The only possible
scores are 100%, corresponding to mastery, or 0%. Most people will require multiple attempts, so
you should start early. You are welcome to seek help from your peers or people in the MPC, but any
test where you receive help becomes a practice − you will need to generate and print out a new exam,
and do it on your own. Exams can be found at http://max.cs.kzoo.edu/cgi-bin/calcgi/mastery0.
Your first attempt at the exam must be done by 2:40 Friday, October 17. To receive a full 100%,
the final attempt must be made by Thursday, October 23.
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Homework:
Homework will come in two parts: Warm-ups and Hand-ins. Warm-ups will consist of reading the
assigned section(s) and a handful of problems. Our class sessions will often (almost always) begin
with presentations of some of these problems and your participation score will partially be based
on this. Volunteers will be chosen at random from the notecards you fill out on the first day of
class. Having an incorrect or incomplete problem to present is perfectly acceptable as it presents
an opportunity to learn. The problems are often odd-numbered so they can be checked in the back
of the book and you can receive help from the MPC and your peers.
It is asked that you do the warmups in a notebook to be turned in at exam time. They
will be checked for completion and one must always show there work. A problem without any work
(or some explanation of how the answer was obtained) will be counted as incomplete.
The hand-in problems will be collected at the beginning of the class period. You are encouraged
to collaborate with other students, but you are expected to turn in individual assignments. Late
homework will not be accepted, but the two lowest scores will be dropped.
Participation:
Students are expected to contribute to class discussions and work with partners or groups on classroom activities. From time to time, write-ups of classroom activities will be collected. Due to the
interactive component of this course, attendance at all class sessions is expected. Let me know if
you plan on missing class for any reason and if you do miss a class, you should be sure to consult
one of your peers to find out what you missed.
Quizzes:
During each week that there isn’t an exam, there will be a short quiz. Your lowest quiz score will
be dropped.
Exams:
There will be two midterm exams and one final exam. The first midterm will cover Sections 1.1-1.6
in Stewart and Chapters 0-2 and 13-15 in the Companion. The second midterm will cover Sections
1.7-2.4 in Stewart and Chapters 3, 4, and 8 in the Companion. The Final exam will be cumulative
covering Chapters 1 and 2 in Stewart and Chapters 0-6, 8, and 13-15 in the Companion.
The final is scheduled for Tuesday, November 25, 1:30 − 4:00 PM.
The Math-Physics Center:
The MPC is open from 8:00-11:00 in the evening, Sunday-Thursday, in the Math commons area
just outside the Math office on the second floor. You do not need to be “stuck” on a problem to go
to the MPC. In fact, many people use the MPC as a place just to do their daily homework Prof.
Sievewright is the director of the MPC and will be there fairly often throughout the quarter. The
MPC offers free candy as well!
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Academic Dishonesty and Class Conduct:
Representing another’s work as one’s own (i.e., copying) on homework or exams is not acceptable
and will result in failure of the course. To promote an atmosphere of learning, I ask that all cell
phones be turned off or put on silent to avoid distractions. This means no texting or other improper
use of technology will be permitted.
Special Accommodations: Any student with a disability who needs an accommodation or other
assistance in this course should make an appointment to speak with me as soon as possible.
Tentative schedule:
Week 1
Week 2
Week 3
Week 4
Week 5
Week 6
Week 7
Material Covered
Companion Chapters 0, 1, 2
Stewart Sections 1.1
Companion Chapters 2, 13
Stewart Sections 1.2, 1.3
Companion Chapters 13, 14, 15
Stewart Section 1.5, 1.6
Stewart Section 1.4
Companion Chapter 8
Stewart Sections 1.7, 2.1
Companion Chapter 3
Stewart Sections 2.2, 2.3
Companion Chapter 4
Stewart Section 2.3, 2.4
Extra Notes
Notation, the Coordinate Plane,
& Functions
Transformations of Graphs, Polynomials,
& Rational Functions
Exponential Functions, Inverse Functions,
& Logarithms
Graphing w/ Calculators
Review Wed., Exam Fri.
Trig. Functions, Parametric Curves,
Tangents, & Velocity
Limit of a Function & Calculating Limits
Alg. Mastery Due by 4:00 Thurs., No class Fri.
Limit Laws & Continuity
Week 8
Week 9
Review Mon., Exam Wed.
The Role of Infinity
Limits Involving Infinity &
Rates of Change
Derivative as a Function & From f 0 to f
Review Friday
11/25 1:30-4:00
Companion Chapter 5
Companion Chapter 6
Stewart Sections 2.5, 2.6
Week 10
Final
Stewart Sections 2.7, 2.8
Cumulative
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