Penn State University University Park MATH 141 Calculus with Analytic Geometry II Fall 2009 CATALOG DESCRIPTION MATH 141 GQ Calculus with Analytic Geometry II 4 Derivatives integrals applications sequences and series analytic geometry polar coordinates Students may take only one course for credit from MATH 141 141B 141E 141G and 141H PREREQUISITE Math 140 or a score of 4 or 5 on AP Calculus AB Exam TEXT Calculus Single Variable Sixth Edition OR Calculus Sixth Edition by James Stewart published by Thomson Brooks Cole An electronic version of the text e text is available chapter by chapter through http pennstate ichapterssites com COURSE FORMAT There are four 50 minute lectures each week The sections covered in lectures are listed at the end of this syllabus MATH 141 LEARNING OBJECTIVES Upon successful completion of Math 141 the student should be able to 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 Differentiate exponential logarithmic and inverse trigonometric functions Integrate exponential logarithmic and inverse trigonometric functions Recognize integrands for which integration by parts is appropriate Use the formula to integrate by parts Use techniques for integrals of products of sines and cosines Use techniques for integrals of secants and tangents Use techniques of trigonometric substitution to integrate various forms of integrands Complete the square to express an irreducible quadratic polynomial as a sum or difference of squares Perform polynomial long division to reduce an integrand to a more easily integrated form Use the technique of partial fraction decomposition to reduce an integrand to a more easily integrated form Given a random integration problem choose the proper method and proceed with integration Identify indeterminate limit forms Evaluate limits using L Hospital s Rule Recognize improper integrals and put in proper form for determination Determine if an improper integral diverges or converges and if so to what Identify and compare different types of sequences Determine if a sequence diverges or converges and if so to what Recognize famous series in standard and non standard form Apply infinite series tests for convergence and divergence Find the interval of convergence and radius of convergence for a given power series Generate power series representations of some functions from a geometric series perspective Generate power series representations of some functions from a Taylor Series perspective Recognize and manipulate important Maclaurin Series ex sin x cos x tan 1x 1 1 x by differentiation integration and substitution Find the nth degree Taylor Polynomial of a function f at a point a and determine the error associated with the estimate Sketch graphs of curves defined parametrically Use calculus techniques to analyze the behavior of graphs of parametrically defined curves Sketch graphs of polar equations Find slopes of tangents to polar defined curves Find points of intersection of two or more polar functions Find areas enclosed by polar defined curves CALCULATORS A graphics calculator is useful as a study and learning tool when used appropriately but it is not essential Calculus is a collection of ideas that are not mastered through calculator skills No calculators are allowed on quizzes midterms or on the final examination TUTORS AND MATH CENTER Free mathematics tutoring is available at Penn State Learning located in 220 Boucke Building For more information go to the PSU Learning webpage If you need extra help a paid tutors list maintained by the Mathematics Department Undergraduate Office is available EXAMINATIONS Two 75 minute evening examinations will be given during the semester and a comprehensive final examination will be given during the final examination period NO books notes or calculators may be used on the examinations You must bring your University ID card to all exams The examinations will be given from 6 30 to 7 45 PM on the following dates Midterm Examination I Thursday October 1 Midterm Examination II Wednesday November 4 Rooms for examinations will be announced by your instructor at a later date and may also be found on the Courses website CONFLICT EXAMINATIONS For the two mid semester examinations there is a conflict examination from 5 05 to 6 20 PM on the same night as the regular examination Who may take the Conflict Exam If you have a valid conflict with the regular examination time such as a class or other scheduled activity you may sign up for the conflict exam How and when to sign up for the Conflict Exam Students must sign up for the Conflict Exam in class with your instructor on a pink form The student is responsible for knowing the room and time of the conflict examination This information is on the pink form Your instructor must turn in the pink form 2 class days prior to the examination date If you have not signed up with your instructor you will not be allowed to take the conflict exam Instructions on Conflict Exam night The student is responsible for knowing the room and time of the conflict examination Students must bring their University ID to the conflict examination The ID will be checked by the proctor Although the conflict examination will end at 6 20 PM no student will be permitted to leave the examination room before 6 25 PM Any student who leaves before 6 25 PM will receive a grade of zero on the examination and will not be allowed to retake it MAKEUP EXAMINATIONS A makeup exam will be given about a week following the regularly scheduled exam Who may take the makeup exam Students who have a valid documented reason such as a class conflict or illness during both the conflict and regular examination times are permitted to schedule a makeup examination with no penalty You must be prepared to verify the reason for taking the makeup Students who do not have a valid reason for missing the examination such as forgetting the date time or room of an examination or attending Greek rush events are permitted to schedule the makeup but 20 points will be deducted from their score Students who have taken either the regularly scheduled examination or conflict examination are not permitted to take the makeup examination Students who have not signed up for the makeup exam 2 days prior to the exam date will not be allowed to take the exam The makeup examinations are given from 6 30 to 7 45 PM on the evenings listed below Makeup Examination I Wednesday October7 Makeup Examination II Tuesday