??ࡱ? > ?? ? ? ???? ? ? ?????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????? a ?? j bjbjڤڤ 4p ??Cb??Cb?, ?? ?? ?? ? x x ? ? ? ? ? ???? 8 @ T ? ? / F ? ? ? ? ? } } } ?. ?. ?. ?. ?. ?. ?. ?2 ? {5 x ?. Q ? } } } } } ?. ? ? ? ? ? 9/ {" {" {" } ? ? ? ? ?. {" } ?. {" {" r ?, ? ?- ? ???? ?????K? ???? }! ^ >- ?. O/ 0 / L- V ?5 ?! ? ?5 ?- ?- 8 ?5 ? ?- ? {" } } } ?. ?. {" } } } / } } } } ???? ???? ???? ???? ???? ???? ???? ???? ???? ???? ???? ???? ???? ???? ???? ???? ???? ?5 } } } } } } } } } x B ? : Calculus for the Life Sciences with Applications I The University of ToledoMathematics & Statistics Department, College of Natural Sciences and MathematicsMATH1750-0XX, CRN XXXXX_________________________________________________________________________________________ Instructor: (Insert Name] Class Location: (Insert Building/Room) Email: (Insert E-mail Address) Class Day/Time: (Insert Days/Time) Office Hours: (Insert Days/Time) Lab Location: (Insert Building/Office #, if applicable) Office Location: (Insert Building/Office Number) Lab Day/Time: (Insert Days/Time, if applicable) Office Phone: (Insert Phone Number) Credit Hours: 4 Term: (Insert Semester and Year)__________________________________________________________________________________________________ COURSE DESCRIPTIONDefinitions of trigonometric functions, solving trigonometric equations, functions, limits and derivatives, exponential and logarithmic functions, and applications.STUDENT LEARNING OUTCOMESThe successful MATH1750 student should be able to:Trigonometric identities: Define the six trigonometric functions in terms of right triangles and the unit circle. Simplify trigonometric expressions by algebraic manipulation and the use of fundamental trigonometric identities. Graphs of trigonometric functions: Recognize and sketch the graphs of trigonometric and inverse trigonometric functions. Perform transformations of trigonometric functions ? translations, reflections, stretching, shrinking. Determine amplitude, period, phase shift, intercepts and asymptotes of trigonometric functions. Trigonometric equations: Solve trigonometric equations, in degrees and radians, for both special and non-special angles.Exponential models: Use exponential functions to formulate growth and decay models, and solve the resulting exponential equations.Limits: Determine the existence of limits, including one-sided limits, estimate limits numerically and graphically, and evaluate limits algebraically. Recognize and determine infinite limits and limits at infinity and interpret them with respect to asymptotic behavior. Apply L?Hospital?s Rule to limits leading to indeterminate forms of the type QUOTE or QUOTE .Continuity: Determine continuity of a function at a point or on an interval. Analyze and classify the discontinuities at a point.Derivatives: Determine the derivative of a function using the limit definition and differentiation rules. Interpret the derivative as the slope of a tangent line to a graph, and as the rate of change of a dependent variable with respect to an independent variable. Find higher order derivatives.Graph sketching: Use the first derivative of a function to determine intervals on which the graph of a function is increasing or decreasing and to determine the critical points of the function. Use the second derivative to determine intervals on which a function is concave upwards or concave downwards and to determine points of inflection. Use these techniques to sketch the graph of a function, to determine relative and absolute extrema, and to solve optimization problems. PrerequisitesMinimum grade of C- in Math 1320 or Minimum grade of C- in Math 1340 or sufficient score on the Math Placement Exam. REQUIRED MATERIALS Text specific MyMathLab access code with e-text for Neuhauser/Roper, Calculus for Biology and Medicine, 4th edition, Pearson 2018, ISBN 9780134782898. Temporary access (for 14 days) is available at the publisher?s website.??Alternatively, text specific MyMathLab access code with e-text?plus loose-leaf edition of?Neuhauser/Roper, Calculus for Biology and Medicine, 4th edition, Pearson 2018, ISBN 9780135260302. Moyer & Ayres, Trigonometry, Schaum's Outlines, McGraw-Hill, 6th Ed., 2018 (ISBN 9781260011487) or5th Ed., 2013 (ISBN 9780071795357) or4th Ed., 2008 (ISBN 9780071543507)Scientific calculator (non-graphing, non-programmable) UNIVERSITY POLICIES: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.ACADEMIC ACCOMMODATIONSThe 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: HYPERLINK "http://www.utoledo.edu/offices/student-disability-services/sam/index.html" http://www.utoledo.edu/offices/student-disability-services/sam/index.html ACADEMIC POLICIES:Student PrivacyFederal 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 HYPERLINK "http://www.utoledo.edu/policies/academic/undergraduate/index.html" \h http://www.utoledo.edu/policies/academic/undergraduate/index.htmlMissed Class policy If you miss any graded item, then this item may only be made up in accordance with the University?s Missed Class Policy. This policy requires that you contact me in advance by phone, e-mail or in person, provide official documentation for the absence, and make up the missed item as soon as possible. You can find the University?s Missed Class Policy at HYPERLINK "http://www.utoledo.edu/policies/academic/undergraduate/index.html" http://www.utoledo.edu/policies/academic/undergraduate/index.htmlAcademic Dishonesty Any act of academic dishonesty as defined by the University of Toledo policy on academic dishonesty (found at HYPERLINK "http://www.utoledo.edu/dl/students/dishonesty.html"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.Grading and EvaluationThe syllabus should describe the methods of evaluation whether quizzes, exams, or graded assignments. The usual procedure is to give at least t w o o n e - h o u r i n c l a s s e x a m s a n d a t w o - h o u r ?n a l e x a m . I f q u i z z e s a r e n o t u s e d a s a p o r t i o n o f t h e g r a d e , t h e n t h r e e o n e - h o u r e x a m s a r e r e c o m m e n d e d . A d e s c r i p t i o n o f a g r a d i n g m e t h o d t h a t i n c l u d e s t h e p r o p o r t i o n t h a t e a c h e v a l u a t i n g m e t h o d c o u n t s t o w a r d t h e grade should be described. If the grading method uses a grading scale it should be clearly stated. 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. 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.MIDTERM EXAM:FINAL EXAM:OTHER DATESThe last day to drop this course is ________________The last day to withdraw with a grade of ?W? from this course is ___________________STUDENT SUPPORT SERVICESFree 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 HYPERLINK "http://www.math.utoledo.edu/mlrc/MLRC.pdf" http://www.math.utoledo.edu/mlrc/MLRC.pdf Class ScheduleSyllabus should provide a list of sections to be covered and it is advisable to give an exam and quiz schedule. A s u g g e s t e d c o u r s e s c h e d u l e i s f o u n d b e l o w . M o s t i n s t r u c t o r s ?n d t h e s y l l a b u s t o b e q u i t e c r o w d e d , s o t h e c o u r s e n e e d s t o b e w e l l p a c e d t o a v o i d c r a m m i n g t o o m u c h m a t e r i a l i n a t t h e e n d o f t h e s e m e s t e r . M o s t s t u d e n t s w i l l e n r o l l i n M A T H 1 7 6 0 t h a t h a s M A T H 1 7 5 0 as a prerequisite. The instructor reserves the right to change the content of the course material if s/he perceives a need due to postponement of class caused by inclement weather, instructor illness, etc., or due to the pace of the course.CLASS SCHEDULEChapter/ SectionTopicLearning OutcomeNumber of Lecture HoursNeuhauser: Calculus for Biology and MedicineChapter1Preview and review(2.5 hours)1.2Preliminaries0.5 1.3Elementary FunctionsExponential models2.0 Section2.1 (2.1.1)Exponential Growth and DecayExponential models(1 hour) Schaum?s Outlines Trigonometry(8.5 hours)Sections1.1-1.5Angles and Applications0.5 Chapter2Trigonometric Functions of a General AngleTrigonometric identities1.0 Chapter3Trigonometric Functions of an Acute AngleTrigonometric identities1.0 Chapter6Reduction to Functions of Positive Acute AnglesTrigonometric identities0.5Chapter7Variations and Graphs of the Trigonometric FunctionsGraphs of trigonometric functions2.0 Chapter8Basic Relationships and IdentitiesTrigonometric identities1.0Chapter9Trigonometric Functions of Two Angles1.0Chapter13Inverses of Trigonometric Functions0.5Chapter14Trigonometric EquationsTrigonometric equations1.0Neuhauser: Calculus for Biology and MedicineChapter3Limits and Continuity (5 hours)3.1LimitsLimits2.0 3.2ContinuityContinuity1.0 3.3Limits at InfinityLimits1.0 3.4Trigonometric Limits and the Sandwich Theorem0.53.5Properties of Continuous Functions0.5 Chapter4Differentiation(11.5 hours)4.1Formal Definition of the DerivativeDerivatives1.0 4.2Properties of th3 DerivativeDerivatives0.54.3The Power Rule, the Basic Rules of Differentiation, and the Derivatives of PolynomialsDerivatives1.04.4The Product and Quotient Rules, and the Derivatives of Rational and Power FunctionsDerivatives1.54.5The Chain Rule Derivatives2.04.6*Implicit Functions and Implicit DifferentiationDerivatives(optional/as needed for 4.10)4.7Higher DerivativesDerivatives0.54.8Derivatives of Trigonometric FunctionsDerivatives1.5Chapter/ SectionTopicLearning OutcomeNumber of Lecture Hours4.9Derivatives of Exponential FunctionsDerivatives1.5 4.10Derivatives of inverse Functions, Logarithmic Functions, and the Inverse Tangent FunctionDerivatives1.5 4.11Linear Approximation and Error Propagation0.5Chapter5Applications of Differentiation (7.5 hours)5.1Extrema and the Mean 2 4 ? ? ? ?
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