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\textbf{\Large CALCULUS FOR ENGINEERING TECHNOLOGY I}\\
The University of Toledo\\ Mathematics \& Statistics Department, College of Natural Sciences and Mathematics\\ MATH2450-0XX, CRN XXXXX
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\textbf{Instructor:} & \footnotesize{(Insert Name)} & \textbf{Class Location:} & \footnotesize{(Insert Building/Room)}\\
\textbf{Email:} & \footnotesize{(Insert Email Address)} & \textbf{Class Day/Time:} & \footnotesize{(Insert Days/Time)}\\
\textbf{Office Hours:} & \footnotesize{(Insert Days/Time)} & \textbf{Lab Location:} & \footnotesize{(Insert Bldg/Office \#, if applicable)} \\
\textbf{Office Location:} & \footnotesize{(Insert Building/Office \#)} & \textbf{Lab Day/Time:} & \footnotesize{(Insert Days/Time, if applicable)}\\
\textbf{Office Phone:} & \footnotesize{(Insert Phone Number)} & \textbf{Credit Hours:} & 4\\
\textbf{Term:} & \footnotesize{(Insert Semester/Year)} & &\\
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\noindent{\bf COURSE DESCRIPTION}\\
Differential calculus of algebraic and trigonometric functions, including limits, curve sketching, motion, maxima/minima, related rates, integral calculus of algebraic functions.\\
\noindent {\bf STUDENT LEARNING OUTCOMES}\\
Upon successful completion of this class a student should be able to:
\begin{itemize}
\item {\bf\emph{Derivative}}: Use the concept of the limit definition to verify the power rule. Understand the product rule, quotient rule, implicit differentiation, and the chain rule. Apply the derivative to motion problems and find the tangent lines of curves.\vspace{-.1in}
\item {\bf\emph{Applications of the Derivative}}: Utilize several differentiation techniques and by understanding the first and second derivative tests, be able to sketch curves, identify relative maximums and minimums, and solve related rates problems.\vspace{-.1in}
\item {\bf\emph{Derivative of Transcendental Functions}}: Find the derivatives of trigonometric functions, their inverse functions, and exponential and logarithmic functions. Apply the derivative of these functions in various real world problems and understand L'Hospitals rule.\vspace{-.1in}
\item {\bf\emph{The integral}}: Find indefinite integrals using integration formulas and the method of substitution. Find constants of integration and the area under a single curve.\vspace{-.1in}
\item {\bf\emph{Applications of Integration}}: Find the area between two curves and revolve a function about the x-axis and y-axis using both the disk method and shell method.
\end{itemize}
\noindent {\bf PREREQUISITES}\\
Minimum grade of C- in Math 1320 and Math 1330 or in Math 1340, or satisfactory placement
test scores. If a student's ACT-Math score is 22 or greater a
score of 12 or greater is required on the Trigonometry placement
test. If a student's ACT-Math score is 20 or 21, then the student
must have a score of 12 or greater on the Trigonometry Placement
test and a score of 12 or greater on the College Algebra placement
test. For student's with ACT-Math scores of 20 or 21 who score
between 9 and 11 inclusive on the Trigonometry placement test and
have College Algebra placement test scores of 15 or greater, they
may enroll in MATH 2450 if they concurrently enroll in
Trigonometry Review MATH 1980. Students who enroll in MATH 2450
but have failed prerequisite courses may be administratively
dropped from the class. General education curriculum core course
meets the skills requirements in mathematics.\\
\noindent{\bf TEXTBOOK:}{\sl \ Technical Calculus - Special Edition for UT}, Ewen, Gray, Trefzger, and
Colley\\
(ISBN:9780536987273).\\
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\medskip\noindent{\bf UNIVERSITY POLICIES:}\\
\noindent{\bf POLICY STATEMENT ON NON-DISCRIMINATION ON THE BASIS OF DISABILITY (ADA)}\\
The University is an equal opportunity educational institution. Please read The University's Policy Statement on Nondiscrimination on the Basis of Disability Americans with Disability Act Compliance.\\
\noindent{\bf ACADEMIC ACCOMMODATIONS}\\
The University of Toledo is committed to providing equal access to education for all students. If you have a documented disability or you believe you have a disability and would like information regarding academic accommodations/adjustments in this course please contact the Student Disability Services Office (Rocket Hall 1820; 419.530.4981; studentdisabilitysvs@utoledo.edu) as soon as possible for more information and/or to initiate the process for accessing academic accommodations. For the full policy see: \url{http://www.utoledo.edu/offices/student-disability-services/sam/index.html}\\
\noindent{\bf ACADEMIC POLICIES:}\\
\noindent{\bf MISSED CLASS POLICY}\\
If circumstances occur in accordance with The University of Toledo Missed Class Policy (found at \url{http://www.utoledo.edu/policies/academic/undergraduate/index.html}) result in a student missing a quiz, test, exam or other graded item, the student must contact the instructor in advance by phone, e-mail or in person, provide official documentation to back up his or her absence, and arrange to make up the missed item as soon as possible.\\
\noindent{\bf ACADEMIC DISHONESTY}\\
Any act of academic dishonesty as defined by the University of Toledo policy on academic dishonesty (found at \url{ http://www.utoledo.edu/dl/students/dishonesty.html}) will result in an F in the course or an F on the item in question, subject to the determination of the instructor.
Non-Discrimination Policy: The University of Toledo is committed to a policy of equal opportunity in education, affirms the values and goals of diversity.\\
\noindent{\bf STUDENT PRIVACY}\\
Federal law and university policy prohibits instructors from discussing a student's grades or class performance with anyone outside of university faculty/staff without the student's written and signed consent. This includes parents and spouses. For details, see the Confidentiality of Student Records (FERPA) section of the University Policy Page at \url{http://www.utoledo.edu/policies/academic/undergraduate/index.html}\\
\noindent{\bf GRADING AND EVALUATION}\\
Your syllabus should describe the methods of evaluation whether quizzes,
exams, or graded assignments. The usual procedure is to give at
least three 1-hour in-class exams and a two hour final exam. If
quizzes are not used as a portion of the grade, then four 1-hour
exams are recommended. How each evaluation method is to count
toward the class grade should be described and a grading scale or
description of a grading procedure should be provided. It should
be kept in mind when scheduling quizzes and exams that the last
day to add/drop the class is the end of the second week of classes
and the last day to withdraw from the class is the end of the
tenth week. By these dates, students like to have some measure of
their progress in the class.\\
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\noindent{\bf IMPORTANT DATES}\\
*The instructor reserves the right to change the content of the course material if he perceives a need due to postponement of class caused by inclement weather, instructor illness, etc., or due to the pace of the course.\\
\noindent{\bf MIDTERM EXAM:}\\
{\bf FINAL EXAM:}\\
\noindent{\bf OTHER DATES}\\
The last day to drop this course is:\\
The last day to withdraw with a grade of ``W'' from this course is\\
\medskip\noindent{\bf STUDENT SUPPORT SERVICES:}\\
Free math tutoring on a walk-in basis is available in the Math Learning and Resources Center located in Rm B0200 in the lower level of Carlson Library (phone ext 2176). The Center operates on a walk-in basis. MLRC hours can be found at \url{http://www.math.utoledo.edu/mlrc/MLRC.pdf}\\
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\noindent {\bf Suggested Schedule for MATH 2450}\hfill \small \vspace{.1in} \noindent
\begin{tabular}{ll@{\quad}l@{\quad}l@{\quad}l@{\quad}l}
Chapter& Section& Topic & Hours & Learning Objectives\cr \noalign{\bigskip}
Chapter & 2 & The Derivative & 9.5 hours & \\
&2.1 & Motion & 1.0 & Limits \\
&2.2 & The Limit & 1.0 & Limits \\
&2.3 & Slope of a Tangent Line to a Curve & 0.5 & Limits \\
&2.4 &The Derivative & 0.5 & Derivatives \\
&2.5 & Differentiation of Polynomials& 1.0 & Derivatives \\
&2.6 & Derivatives of Products and Quotients & 2.0 & Derivatives \\
&2.7 & Derivatives of a Power & 1.5 & Derivatives \\
&2.8 & Implicit Differentiation & 1.0 & Derivatives \\
%&2.9 & Proofs of Derivative Formulas (Optional) & 1.0 \\
&2.10& Higher Derivatives & 1.0 & Higher Order Derivatives \\
& & & \\
Chapter & 3 &Applications of the Derivative & 10 hours & \\
&3.1 &Curve Sketching & 1.5 & Applications of Derivatives \\
&3.2 &Using the Derivative in Curve Sketching & 2.0 & Applications of Derivatives \\
&3.3 &More Curve Sketching & 2.0 & Applications of Derivatives \\
&3.5 &Maximum and Minimum Problems & 2.5 & Applications of Derivatives \\
&3.6 &Related Rates & 1.0 & Higher Order Derivatives \\
&3.7 &Differentials &1.0 & Higher Order Derivatives \\
& & & \\
Chapter & 4 &Derivatives of Transcendental Functions & 12 hours & \\
&4.1 &Trigonometric Functions & 2.0 & Derivatives of Transcendentals \\
% &4.1 &Trigonometric Functions & 3.0 \\
&4.2 &Derivatives of Sine and Cosine Functions & 2.0 & Derivatives of Transcendentals \\
&4.3 &Derivatives of Other Trigonometric Functions & 1.0 & Derivatives of Transcendentals \\
&4.4 &The Inverse of Trigonometric Functions & 1.0 & Derivatives of Transcendentals \\
&4.5 &Derivatives of Inverse Trigonometric Functions & 1.0 & Derivatives of Transcendentals \\
&4.6 &Exponential and Logarithmic Functions & 1.0 & Derivatives of Transcendentals \\
&4.7 &Derivatives of Log Functions & 1.0 & Derivatives of Transcendentals \\
&4.8 &Derivatives of Exponential Functions &1.0 & Derivatives of Transcendentals \\
&4.9 &L'Hospital's Rule & 1.5 & Indeterminate Forms\\
% &4.9 &Applications &1.0 \\
&4.10 &Applications &0.5 & Higher Order Derivatives \\
& & & \\
Chapter & 5 & The Integral & 6.5 hours & \\
&5.1 & The Indefinite Integral & 2.0 & Antiderivatives \\
&5.2 & The Constant of Integration & 1.0 & Antiderivatives \\
&5.3 & Area Under a Curve & 2.0 & Definite Integration \\
&5.4 & The Definite Integral & 1.5 & Definite Integration \\
& & & \\
Chapter & 6 & Applications of Integration & 6 hours & \\
&6.1 & Area between Curves & 2.0 & Definite Integration \\
&6.2 &Volumes of Revolution: Disk Method & 2.0 & Definite Integration \\
&6.3 &Volumes of Revolution: Shell Method & 2.0 & Definite Integration \\
& & & \\
& & Total Hours & 44
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\noindent{\bf CLASS SCHEDULE}\\
Syllabus should provide a list of sections to be covered and it is
advisable to give an exam schedule. It is also important to list
dates such as the last day to drop, the last day to withdraw, and
exam dates. The suggested number of periods needed for each
section is listed above. Given the fact that the class schedule
includes two 1-hour recitations giving the class 5 contact hours per
week, the suggested lecture time to be devoted to these topics
leaves ample time for problem solving and review. Instructors find
that providing ample time for review and working problems is
important for student success in this course. Most students will
enroll in MATH 2460 which has MATH 2450 as a prerequisite.
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