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\textbf{\Large CALCULUS FOR ENGINEERING TECHNOLOGY II}\\
The University of Toledo\\ Mathematics \& Statistics Department, College of Natural Sciences and Mathematics\\ MATH2460-0XX, 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}\\
Transcendental functions, methods of integration, applications of the integral, polar coordinates, vectors and vector operation, lines and panes, parametric equations.\\
\noindent {\bf STUDENT LEARNING OUTCOMES}\\
Upon successful completion of this class a student should be able to:
\begin{itemize}
\item {\bf\emph{Definite Integrals}}: Use antiderivatives to evaluate definite integrals and apply definite integrals in a variety of applications including center of mass, moments of inertia, work, fluid pressure, and average value.\vspace{-.1in}
\item {\bf\emph{Techniques of Integration}}: Employ a variety of integration techniques to evaluate special types of integrals, including substitution, integration by parts, trigonometric substitution, and partial fraction decomposition.
Polar Coordinates: Analyze curves given in polar form and find the areas of regions defined with polar coordinates.\vspace{-.1in}
\item {\bf\emph{Three-Space}}: Use partial derivatives to find the tangent lines, critical points, and relative maximum or minimum of a function of two variables. Evaluate double integrals to find the volume of a solid.\vspace{-.1in}
\item {\bf\emph{Vectors}}: Perform and apply vector operations, including the dot and cross product of vectors, and use them to derive analytic descriptions of lines and planes.\vspace{-.1in}
\item {\bf\emph{Differential Equations}}: Use the method of separation of variables and integrating factor to solve differential equations. Apply differential equations in a variety of engineering applications including radioactive decay, electric circuits, mixtures, and temperature change.
\end{itemize}
\noindent {\bf PREREQUISITES}\\
Minimum grade of C- in Math 2450 or Math 1850 or Math 1920. Students who enroll in Math 2460
but have not the prerequisite course may be administratively
dropped from the class. General education curriculum core course
meets the skills requirements in mathematics.\\
\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.
{\sl \ APEX Calculus III}, by Gregory Hartman. This is a free textbook located at \url{http://www.apexcalculus.com/downloads/}\\
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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}\\
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\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}\\
The syllabus should describe the methods of evaluation whether quizzes,
exams, or graded assignments. The usual procedure is to give at
least two 3 hour in-class exams and a two hour final exam. If
quizzes are not used as a portion of the grade, then three 4 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:\\
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\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 CLASS SCHEDULE}\\
Syllabus should provide a list of sections to be covered and it is
advisable to give an exam schedule. See the list of suggested number of periods needed for each section.\\
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\noindent {\bf Suggested Schedule for MATH 2460}\hfill \footnotesize \vspace{.2in} \noindent
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Chapter& Section& Topic & Hours & Learning Objectives\cr \noalign{\bigskip}
Chapter & 6 & Derivatives of Transcendental Functions & 6 hours \\
&6.6 & Exponential and Logarithmic Functions & 1.0 & \\
&6.7 & Derivative of the Logarithmic Function & 1.0 & \\
&6.8 & Derivative of the Exponential Function & 1.0 & \\
&6.9 & L'Hospital's Rule & 1.0 & \\
&6.10& Applications & 2.0 & \\
&6.11& Newton's Method (Optional) & 1.0 & \\
& & & \\
Chapter & 7 & Integration Techniques & 10.5 hours \\
&7.1 & The Power Formula Again & 1.0 & Techniques of Integration\\
&7.2 & The Logarithmic and Exponential Forms & 1.0 & Techniques of Integration\\
&7.3 & Trigonometric Forms & 1.0 & Techniques of Integration\\
&7.4 & Further Trigonometric Forms & 1.0 & Techniques of Integration\\
&7.5 & Inverse Trigonometric Forms & 0.5 & Techniques of Integration\\
&7.6 & Integration by Trigonometric Substitution & 2.0 & Techniques of Integration\\
&7.7 & Integration by Parts & 2.0 & Techniques of Integration\\
&7.8 & Integration of Rational Functions & 2.0 & Techniques of Integration\\
& & & \\
Chapter & 8 & Parametric Equations, Vectors, and & 6 hours \\
& & Polar Coordinates & & \\
&8.1 & Vectors and Parametric Equations & 1.0 & Three-Space\\
&8.2 & Arc Length & 1.0 & Definite Integrals\\
&8.3 & Polar Coordinates & 1.0 & Polar Coordinates\\
&8.4 & Curves in Polar Coordinates & 1.0 & Polar Coordinates\\
&8.5 & Areas in Polar Coordinates; Tangents & 2.0 & Polar Coordinates\\
& & & \\
Chapter & 9 & Three-Dimensional Space; Partial Derivatives; & 9 hours\\
& & Multiple Integrals & & \\
&9.1 & Surfaces in Three Dimensions & 1.0 & Three-Space\\
&9.2 & Partial Derivatives & 1.0 & Three-Space\\
&9.3 & Applications of Partial Derivatives & 2.0 & Three-Space \\
&9.4 & Iterated Integrals & 2.0 & Three-Space\\
&9.5 & Volumes by Double Integration & 1.0 & Three-Space\\
&9.6 & Mass, Centroids, and Moments of Inertia (Optional) & 2.0 & Three-Space\\
& & & \\
Chapter & 10 & Vectors (APEX Calculus) & 7 hours \\
&10.2 & An Introduction to Vectors & 2.0 & Vectors\\
&10.3 & The Dot Product & 1.5 & Vectors\\
&10.4 & The Cross Product & 1.5 & Vectors\\
&10.5 & Lines & 1.0 & Vectors\\
&10.6 & Planes & 1.0 & Vectors\\
& & \\
Chapter & 11 & First Order Differential Equations & 5.5 hours \\
&11.1 & What is a Differential Equation? & 1.0 & Differential Equations\\
&11.2 & Separation of Variables & 2.0 & Differential Equations\\
&11.3 & First-Order Linear Differential Equations & 1.0 & Differential Equations\\
&11.4 & Applications of First-Order Differential Equations & 1.5 & Differential Equations \\
& & & \\
& & & \\
& & Total Hours & 44
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