Penn State University University Park MATH 141 Calculus with Analytic Geometry II Summer 2010 June 14 2010 August 13 2010 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 five 75 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 x 1 Recognize and manipulate important Maclaurin Series e sin x cos x tan x 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 No calculators are allowed on quizzes midterms or on the final examination TUTORS AND PENN STATE LEARNING Free mathematics tutoring is available at Penn State Learning located in 220 Boucke Building For additional 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 Wednesday June 30 Midterm Examination II Thursday July 22 MAKEUP EXAMINATIONS If you have a conflict with either of the midterm examinations please contact your instructor to make arrangements for a makeup examination Only students with official University conflicts or a valid documented excuse such as illness will be permitted to schedule a makeup examination Personal business such as travel employment weddings graduations or attendance at public events such as concerts sporting events etc are not valid excuses Students are responsible for requesting permission from the instructor at least three days before the regularly scheduled examination for conflicts and on exam day in case of illness FINAL EXAMINATION The date and time of the final examination will be announced later The final examination may be scheduled through 9pm on August 13 Do not plan to leave University Park until after Friday August 13 2010 LATE DROP Students may add drop a course without academic penalty through June 19 A student may late drop a course through July 29 but accrues late drop credits equal to the number of credits in the dropped course A baccalaureate student is limited to 16 late drop credits COURSE GRADES Grades will be assigned on the basis of 450 points distributed as follows Examination I 100 Examination II 100 Homework and or quizzes 100 Final Examination 150 Total 450 Final course grades will be assigned as follows A 415 450 POINTS A 405 414 POINTS B 395 404 POINTS B 370 394 POINTS B 360 369 POINTS C 350 359 POINTS C 315 349 POINTS D 270 314 POINTS F 000 269 POINTS NOTE Your grade will be based EXCLUSIVELY on the midterm examinations homework and or quizzes and final examination There is no extra credit work After the second exam and before the late drop deadline the guaranteed grade line cutoffs will be provided to facilitate your planning for the rest of the semester The unavoidable consequence is that some students are just a point away from the higher grade For the reason of fairness the policy in this course is to NOT adjust individual grades in such circumstances DEFERRED GRADES Students who are unable to complete the course because of illness or emergency may be granted a deferred grade which will allow the student to complete the course within the first six weeks of the following semester If the student is scheduled for Math 141 then the student must complete Math 140 within 2 weeks of the following semester Note that deferred grades are limited to those students who can verify and document a valid reason for not being able to take the final