Penn State University University Park MATH 140 Calculus with Analytic Geometry I Fall 2011 CATALOG DESCRIPTION MATH 140 GQ CALCULUS WITH ANALYTIC GEOMETRY I 4 semester hours Functions limits analytic geometry derivatives differentials applications integrals applications Students may only take one course for credit from MATH 110 140 140A 140B 140E 140G and 140H PREREQUISITE Math 22 AND 26 or Math 40 or Math 41 or satisfactory performance on the algebra and trigonometry math proficiency examination TEXT Calculus Seventh Edition OR Calculus Single Variable Seventh 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 140 LEARNING OBJECTIVES Upon successful completion of Math 140 the student should be able to 1 Calculate or estimate limits of functions given by formulas graphs or tables 2 Determine whether a function given by a graph or formula is continuous at a given point or on a given interval or on its domain 3 Determine whether a function given by a graph or formula is differentiable at a given point or on a given interval 4 Distinguish between average and instantaneous rate of change and interpret the definition of the derivative graphically 5 Determine derivatives of some functions using the limit definition of the derivative 6 Calculate derivatives of polynomial rational and common transcendental functions and combinations of these functions 7 Calculate derivatives of composite functions 8 Calculate derivatives of implicitly defined functions 9 Give examples to illustrate important theorems Intermediate Value Thm Rolle s Thm Mean Value Thm Extreme Value Thm Squeeze Thm 10 Apply the ideas and techniques of derivatives to related rate problems 11 Apply the ideas and techniques of derivatives to finding local and absolute extrema 12 Apply the ideas and techniques of derivatives to graphing functions 13 Apply the ideas and techniques of derivatives to optimization problems 14 Find linear approximations of functions differentials 15 Calculate the Riemann sum for a given function and partition 16 Describe a definite integral as the limit of a Riemann sum 17 Determine antiderivatives of some algebraic functions and some trigonometric functions 18 Calculate values of definite integrals using antiderivatives and areas 19 Use the Fundamental Theorem of Calculus to determine the derivative of an integral 20 Use the Fundamental Theorem of Calculus to evaluate definite integrals 21 Apply substitution techniques to integrate functions 22 Apply the ideas of definite integrals to calculate the area of a region between curves 23 Apply the ideas of definite integrals to calculate the volume of a solid of revolution rotated about a coordinate axis 24 Apply the ideas of definite integrals to calculate the volume of a solid of revolution rotated about a line parallel to a coordinate axis 25 Synthesize concepts from two or more separate sections of the text 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 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 Monday October 3 Midterm Examination II Tuesday November 1 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 Each student must bring his or her 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 after 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 Personal business such as travel employment weddings graduations or attendance at public events such as concerts sporting events and Greek Rush events are not valid excuses Forgetting the date time or room of an examination is not a valid excuse Students who do not have a valid reason for missing the examination 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 The makeup examinations are given from 6 30 to 7 45 PM on the evenings listed below Makeup Examination I Tuesday October 11 Makeup Examination II Monday