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\large{\textbf{Math 2250 Syllabus}}
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\section{Course Information}
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Dr. Jason Cantarella \\
Boyd 448 \\
Office phone: 542-2595 \\
Email: \texttt{jason.cantarella@gmail.com} \\
\textbf{Office hours: Thursday, 6:30-8:30pm}
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Boyd 303, 10:10-11:00 MWF \\
Boyd 304, 12:30-1:45 R\\
\url{http://www.jasoncantarella.com} \\
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\smallskip
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\textbf{Book: Hass/Weir/Thomas, University Calculus, Second Edition, Early Transcendentals}
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\section{Course Schedule}
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\begin{tabular}{p{3.5in}p{1.5in}l}
\toprule
Topics & Sections & Dates\\
\midrule
Limits as a concept. Limit Rules. One-Sided Limits & 2.1-2.2, 2.4 & 8/18 - 8/20, 8/21 \\
Average rates of change. Definition of Derivative. & 3.1-3.3 & 8/22 - 8/25 \\
Product and quotient rules. & 3.3 & 8/27 \\
Derivative as rate of change. Position, velocity and acceleration. & 3.4 & 8/28 \\
Objects in flight. Fitting, predicting, and intercepting. & Lab 1 & 8/29-9/3 \\
Derivatives of trigonometric functions. & 3.5 & 9/4 \\
Changing units. Compositions. Chain Rule. & 3.6 & 9/5-9/6 \\
Implicit Differentiation. & 3.7 & 9/10-9/11 \\
Derivatives of Inverse and Logarithmic Functions. & 3.8 & 9/12-9/15 \\
Derivatives of Inverse Trig Functions. & 3.9 & 9/17 \\
Throwing a ball from a rotating arm & Lab 2 & 9/18-9/22 \\
\midrule
\textbf{Review Session} & 2.1-2.4, 3.1-3.9 & 9/24 \\
\textbf{First Exam} & 2.1-2.4, 3.1-3.9 & 9/25/2014 \\
\textbf{Discussion of First Exam} & & 9/26/2014 \\
\midrule
Related Rates & 3.10 & 9/29-10/1 \\
Taylor's Theorem + Error Analysis & 3.11 + extra & 10/2-10/6 \\
Maxima and Minima, Mean Values. & 4.1-4.2 & 10/8-10/10 \\
The First and Second Derivative Tests. & 4.3-4.4 & 10/13-10/15 \\
L'H\^ospital's rule. Optimization problems. & 4.5-4.6 & 10/16-10/17 \\
Newton's Method. & 4.7 & 10/22 \\
Antiderivatives and Differential Equations & 4.8 & 10/23-10/24 \\
Targeting with a rotating arm. & Lab 3 & 10/29-10/30. \\
Sums of natural numbers, squares. & & 11/3 \\
\midrule
\textbf{Review Session} & 2.1-2.4, 3.1-3.11, 4.1-4.8 & 11/5 \\
\textbf{Second Exam} & 2.1-2.4, 3.1-3.11, 4.1-4.7 & 11/6/2014 \\
\textbf{Discussion of Second Exam} & & 11/7 \\
\midrule
Special Guest Lecture. & (TBA) & 11/10 \\
Sums of cubes. Induction. Sigma notation. & 5.2 & 11/12-11/13 \\
Definite Integral. The fundamental theorem of calculus. & 5.3-5.4 & 11/14-11/20 \\
Indefinite Integral. $u$-substitution & 5.5-5.6 & 11/21-12/5 \\
(extra day) & & 12/8 \\
Review for final exam & & 12/9 \\
\midrule
\textbf{Final Exam (7-10pm)} probably in MLC & (all course material) & 12/11/2014 \\ \bottomrule
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\section{Anki and Reading Quiz Schedule}
\begin{tabular}{lll}
\toprule
Quiz Type& Date & Material Covered \\
\midrule
Anki \#1 & 8/21 & Background Material \\
Reading \#1 & 8/21 & Sections 2.4 and 3.1 \\
Reading \#2 & 8/25 & Section 3.2 \\
Reading \#3 & 8/27 & Section 3.3 \\
Anki \#2 & 8/28 & Background Material and Chapter 2 \\
Reading \#4 & 8/28 & Section 3.4 \\
Anki \#3 & 9/4 & Background Material, Chapter 2-3 \\
Reading \#5 & 9/4 & Section 3.5 \\
Reading \#6 & 9/5 & Section 3.6 \\
Reading \#7 & 9/10 & Section 3.7 \\
Anki \#4 & 9/11 & Background Material, Chapter 2-3 \\
Reading \#8 & 9/12 & Section 3.8 \\
Reading \#9 & 9/17 & Section 3.9 \\
Reading \#10& 9/29 & Section 3.10 \\
Anki \#5 & 10/2 & Background Material, Chapter 2-3 \\
Reading \#11& 10/2 & Section 3.11 \\
Reading \#12& 10/8 & Section 4.1 \\
Anki \#6 & 10/9 & Background Material, Chapter 2-3 \\
Reading \#13 & 10/10 & Section 4.2 \\
Reading \#14 & 10/13 & Section 4.3 \\
Reading \#15 & 10/15 & Section 4.4 \\
Anki \#7 & (cancelled) & Background Material, Chapter 2-3 \\
Reading \#16 & 10/17 & Section 4.6 \\
Reading \#17 & 10/22 & Section 4.7 \\
Reading \#18 & 10/23 & Section 4.8 \\
Anki \#8 & 10/23 & Background Material, Chapter 2-4 \\
Anki \#9 & 11/13 & Background Material, Chapter 2-4 \\
Reading \#19 & 11/17 & Section 5.3 \\
Reading \#20 & 11/19 & Section 5.4 \\
Anki \#10 & 11/20 & Background Material, Chapter 2-5 \\
Reading \#21 & 11/21 & Section 5.5 \\
Reading \#22 & 12/3 & Section 5.6 \\
Anki \#11 & 12/4 & Background Material, Chapter 2-5 \\ \bottomrule
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\section{Prerequisites}
Students are expected to have a solid foundation in high-school algebra and trigonometry, equivalent to that offered in the MATH 1113 precalculus course, in order to enroll in the course. The course webpage contains a 23 question diagnostic self-test covering this material. Generally speaking, to be successful in this course, you should be able to answer at least 17 of these questions correctly. Students scoring less than 12 questions correct should not enroll in this course, but switch to MATH 2200 or MATH 1113.
\section{Course Goals}
Students will develop computational fluency with differentiation and integration. Students will learn to model and solve optimization problems using derivatives. Students will integrate and solidify their knowledge of calculus through real-world ``laboratory'' exercises based on applied mathematics.
\section{Disclaimer}
The course syllabus is a general plan for the course; deviations announced to the class by the instructor may be necessary.
\section{Principal Course Assignments}
\textbf{This course has a substantial workload.} Student responsibilities include:
\begin{itemize}
\item Nightly reading assignments in the calculus book before each class, previewing the material we are about to cover in lecture. These will be assessed with quick ``reading comprehension'' quizzes at the start of class.
\item Weekly homework assignments using the ``WebWork'' system.
\item Memorizing Anki flashcards. These will be assessed with weekly ``memorization'' quizzes at the start of class.
\item Three lab assignments on applied aspects of calculus.
\item Two midterm examinations, each 80 minutes in length.
\item One final exam, three hours in length.
\end{itemize}
For this class, we're using a web-based homework system called \texttt{WebWork}. The login link is
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\url{https://webwork.math.uga.edu/webwork2/Math2250_Cantarella_F14/}
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Your username comes from your uga.edu email address. If your email address is \texttt{jones@uga.edu}, then your username is \texttt{jones}. Your password is your nine-digit 810 number, without spaces.
\texttt{WebWork} lets you try the homework questions as many times as you like until the assignment is due. The system will tell you whether or not you have the right answer. This lets you correct your work immediately. After the assignment's due date, the system will show you the correct answer for each problem when you try it (but your answers won't be scored). The funny thing about \texttt{WebWork} is that \textbf{the due dates are absolute}. Since the system shows you the answers immediately after the due time, I can't give extensions on homework. You may complete assignments in advance if you want to.
You are welcome to work together on \texttt{WebWork} problems, but be warned: \textbf{the problems are a little different for each student}, so copying other students answers won't work. It is certainly possible to solve many of the homework problems using online tools such as Wolfram|Alpha. You should use these tools with care. If you are stuck on a problem, using the "Show steps" option on Alpha can give you good information about how to solve a problem. On the other hand, if you become dependent on tools like Alpha, you are likely to do very poorly on the exams.
When you first login to \texttt{WebWork}, you'll see three buttons on the left. Use the ``Change Email'' button to enter your email address and the ``Change Password'' button to change your password. Then try ``Begin Problem Sets'' to see how the system works. You can select a set and print it out in PDF format to work out the problems on paper if you like. Your problems will be the same when you login again to enter the answers.
\section{Grading and WP/WF Policy}
The overall course grade is computed from homework, exam, and final grades by the formula:
\begin{enumerate}
\item 10\% for each of the three laboratory projects
\item 20\% for each of the two regular exams.
\item 20\% for the final exam.
\item 10\% for the homework assignments and in-class quizzes.
\end{enumerate}
The laboratory assignments are considered to be equivalent to tests or term papers and assess your understanding of different material than the in-class exams. For this reason, much of the laboratory material will not be tested during the in-class exams.
After grades are calculated for each student using these weights, the instructor will rank the students by average and determine thresholds for grades of A, B, C, D, and F. Generally, these are somewhat lower than 90 \%, 80 \%, 70 \%, and 60 \% of the total points in the course. Though improvement and other circumstances are taken into account in deciding thresholds for letter grades, students with a higher numerical average almost always receive higher letter grades than those with lower numerical averages.
In order to receive a grade of "WP" before the first exam, you must have scored at least 50 \% of the homework points available by the date of withdrawal. After the first exam, this policy will remain in force for a two week grace period. After this period expires, you must have scored at least 50 \% of the homework points \textbf{ and } 50 \% of the first exam points in order to receive a grade of "WP".
\section{Attendance Policy}
Students are expected to attend class regularly. Students who miss more than 6 classes (two weeks of class) may be withdrawn from the course by the instructor.
\section{Academic Honesty}
In this class, we maintain a cooperative culture of honesty. This means that you are responsible for your own honesty, and for reporting the academic honesty violations of others. As a University of Georgia student, you have agreed to abide by the University's academic honesty policy, ``A Culture of Honesty,'' and the Student Honor Code. All academic work must meet the standards described in ``A Culture of Honesty'' found at: \url{www.uga.edu/honesty}. Lack of knowledge of the academic honesty policy is not a reasonable explanation for a violation. Questions related to course assignments and the academic honesty policy should be directed to the instructor.
It is perfectly acceptable to work on homework problems in groups in this course. However, the help you should get from your fellow students should enable you to complete the problem on your own. Recruiting another student to complete the homework for you, or to simply provide answers to the problems, is a violation of the honesty policy.
\section{Required Course Material}
Some version of the book is required, but you're welcome to use the first edition (cheap!) instead of paying the exorbitant price for the second edition. Students are required to download and install the shareware ``Anki'' application to complete the memorization assignments.
\section{Make-up Examinations}
\textbf{No makeup examinations will be given in the course.} If you are absent from a scheduled exam, and your absence is excused (generally, this requires a medical or legal explanation, with supporting documentation), the portion of the course grade determined by the missing exam will be divided equally between the other exams (including the final exam). Students with an excused absence from both in-class exams and the final will be withdrawn or given a grade of ``I''.
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