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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)}\\
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\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.\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}\\
A minimum grade of C- in MATH 1340 or a minimum grade of C- in both MATH 1320 and MATH 1330 or satisfactory placement test scores. Satisfactory placement test scores are a minimum score of 76 in Aleks math placement test or a minimum score of both (24 in ACT Math or 560 in SAT old Math score or 580 in SAT new math score or 15 in College Algebra placement test) and 12 in Trigonometry placement test. Students with marginal trigonometric placement test scores take MATH 1980 concurrently.\\
%updated 02/18 V.Cheruvu
%\noindent {\bf PREREQUISITES}\\
%Before enrolling in MATH 2450, students must
%attain sufficient ACT MATH, College Algebra and Trigonometry placement test %results or
%minimum grade of C- in MATH 1320 and MATH 1330 or MATH 1340. Students with %marginal trig
%placement test scores take MATH 1980 concurrently. For details on the scores %on the ACT MATH, College Algebra and Trigonometry placement tests required for MATH %2450, see the Department's placement table.\\
\noindent{\bf TEXTBOOK:}{\sl \ Technical Calculus with Analytic Geometry Fifth Edition}, by Kuhfittig (ISBN:9781133945192), Brooks/Cole Cengage Learning.
Students have the option to subscribe to Cengage Unlimited \url{https://www.cengage.com/unlimited} to bundle all of their Cengage textbooks at one cost for eBooks.
Then a physcial textbook may be rented from Cengage.\\
\newpage
\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.
Please note that any use of, or visibility of, a cell phone or smart watch (or any other device capable of connecting to the internet or storing information, or anything not approved by the instructor) during a test, quiz or exam will be considered academic dishonesty.\\
\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 & Introduction to Calculus: The Derivative & 9.0 hours & \\
&2.1 & Functions and Intervals (Optional) & 0.5 & \\
&2.2 & Limits & 1.5 & Limits \\
&2.3 & The Derivative (Optional) & 0.5 & Derivatives \\
&2.4 & The Derivative by the Four-Step Process & 1.5 & Derivatives \\
&2.5 & Derivatives of Polynomials & 1.0 & Derivatives \\
&2.6 & Instantaneous Rates of Change & 1.0 & Limits \\
&2.7 & Differentiation Formulas & 2.0 & Derivatives \\
&2.8 & Implicit Differentiation & 1.0 & Derivatives \\
&2.9 & Higher Derivatives & 1.0 & Higher Order Derivatives \\
& & & \\
Chapter & 3 & Applications of the Derivative & 8 hours & \\
&3.1 & The First-Derivative Test & 1.5 & Applications of Derivatives \\
&3.2 & The Second-Derivative Test & 2.0 & Applications of Derivatives \\
%&3.3 & Exploring with Graphing Utilities & & \\
&3.4 & Applications of Minima and Maxima & 2.5 & Applications of Derivatives \\
&3.5 & Related Rates & 1.0 & Higher Order Derivatives \\
&3.6 & Differentials & 1.0 & Higher Order Derivatives \\
& & & \\
Chapter & 4 & The Integral & 9.5 hours & \\
&4.1 & Antiderivatives & 1.0 & Antiderivatives \\
%&4.2 & Area Problem & & \\
&4.3 & The Fundamental Theorem of Calculus & 1.0 & Antiderivatives \\
&4.4 & The Integral: Notation and General Definition (Optional) & 1.0 & Definite Integration \\
&4.5 & Basic Integration Formulas & 2.0 & Antiderivatives\\
&4.6 & Area Between Curves & 2.0 & Definite Integration \\
&4.7 & Improper Integrals & 1.5 & Definite Integration \\
&4.8 & The Constant of Integration & 1.0 & Antiderivatives \\
&4.9 & Numerical Integration & 1.0 & Definite Integration \\
& & & \\
Chapter & 5 & Applications of the Integral & 11 hours & \\
&5.1 & Means and Root Mean Squares & 1.0 & Definite Integration \\
&5.2 & Volumes of Revolution: Disk Method and Washer Methods & 2.0 & Definite Integration \\
&5.3 & Volumes of Revolution: Shell Method & 2.0 & Definite Integration \\
&5.4 & Centroids & 2.0 & Definite Integration \\
&5.5 & Moments of Inertia & 2.0 & Definite Integration \\
&5.6 & Work and Fluid Pressure (Optional) & 2.0 & Definite Integration \\
& & & \\
Chapter & 6 &Derivatives of Transcendental Functions & 5 hours & \\
&6.1 & Review of Trigonometry & 1.0 & Derivatives of Transcendentals \\
&6.2 & Derivatives of Sine and Cosine Functions & 1.0 & Derivatives of Transcendentals \\
&6.3 & Other Trigonometric Functions & 1.0 & Derivatives of Transcendentals \\
&6.4 & Inverse of Trigonometric Functions & 1.0 & Derivatives of Transcendentals \\
&6.5& Derivatives of Inverse Trigonometric Functions & 1.0 & Derivatives of Transcendentals \\
& & & \\
& & Total Hours & 42.5
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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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