MATH 227: Calculus IICourse Syllabus - Spring 2009Lectures: Every TuTh 11:00-12:15pm in TH 409Instructor: Yitwah Cheung Dr. Jamylle CarterOffice: TH 950 TH 950Phone: (415) 338-1 805 (415) 338-1 805Office Hours: M 2-3pm, Tu 12:20-1:20pm TTh 12:15-1:15 pmand by a ppt. and by a ppt.Email: [email protected] [email protected]: Every F 11:10-12:00pm in TH 211Instructor: Abdelhak MaoujoudiOffice: SCI 264Phone: (415) 338-1 737Office Hours: MW 9:20-10am and by appt.Email: [email protected]: Math 226 with a grade of C or better.Bulletin Description: The second semester of Calculus: integration, areabetween curves, volume, integration by parts, partial fractions, improperintegrals, parametric equations, infinite sequences and series, an intro-duction to Mathematica.Course Objectives: The main objective of Calculus II is for students to con-tinue learning the basics of the calculus o f functions of one variable. Theywill study both the concepts and techniques of integration, parametricequations, and infinite sequences and series, culminating with Taylor se-ries. They will also apply these ideas to a wide range of problems thatinclude area between curves, volume, work, arc length and surface area.They will study approximate integration, a topic that will involve anintroduction to Mathematica. The students should be able to interpretthe concepts of Calculus algebraically, graphically and verbally.More generally, the students will improve their ability to think critically,to analyze a problem and solve it using a wide ar r ay of tools. Theseskills will be inva luable to them in whatever path they choose to follow,be it as a mathematics major or in pursuit of a career in one of the othersciences.Upon successful completion of the course, students should be able to1Integration skills Evaluate definite, indefinite and improp er integralsexactly using basic integration techniques such as substitution, in-tegration by parts and partial fractions;Applications Setup integrals to compute areas, volumes, and evaluateaverage of a function over a closed interval;Parametric equations Use parametric equations to compute geomet-ric quantities such as arclength of a parametric curve and area en-closed by a loop of a parametric curve given in po lar coordinates;Approximate integration carry out numerical integration using Simp-son‘s rule;Finding limits Determine the limit of a given sequence of real numbers;Convergent series Determine whether a series is summable as well asjustify using standard tests such as the r atio test;Power series Compute Taylor polynomial of a given degree as well asdetermine the radius and interval o f convergence of a given powerseries;Textbook: University Calculus by Hass-Weir-Thomas.Homework and Reading Assignments: Students should check the coursewebpage athttp://online.sfsu.edu/~ycheung/227/for daily homework and reading assignments. Handouts and other usefulinformation such as homework due dates can also be found there. Stu-dents are expected to complete a ll homework and reading assignments ina timely fashion. LATE HOMEWOR K WILL NOT BE ACCEPTED.Exams: There are 2 hour-long midterms and a two-hour final exam that willtake place at the times given below.Midterm 1: Friday, March 20 from 11:10-12pm in TH 211.Midterm 2: Friday, April 17 from 11:10-12pm in TH 211.Final: In TH 409 from 10:45am-1:15pm onTuesday, May 19.Absences: A student is considered absent if he/she is not present at the timewhen attendance is taken. Each student will be allowed two unexcusedabsences. After that, 3 points will be deducted from the student’s rawscore (see next item) for each unexcused absence.2Your Grade: There will be at least 10 Homework Sets, each worth 10 points.In addition, there are 2 midterms, each worth 100 points, and a finalexam, worth 200 points. Your raw score out of 500 is the sum of thecombined scores on your Homework Sets (100 po ints) plus the sum ofyour midterm scores (200 points) and your score on the final (200 points)minus points deducted for unexcused absences. Yo ur g r ade for the coursewill be based on your normalised score, which is your raw score dividedby 5, following the scale below. A curve, if used, will only be to youradvantage.Total score 0-59 60-62 63-66 67-69 70-72 73-76Grade F D− D D+ C− CTotal score 77-79 80-82 83-86 87-89 90-92 93-10 0Grade C+ B− B B+ A− AAcademic Integrity: All students are expected to adhere to the SFSU honorcode. Any student caught cheating on an examination will automaticallyfail the course and face expulsion fr om the University. Each Problem Setis to be written up individually. However, students may and are in factencouraged to discuss the homework problems with each other.Enrollment Status: You are solely responsible for maintaining your ownenrollment status. Check the “ Withdrawl Policy” on the course webpagefor the proper pro cedures for maintaining your enrollment status.DPRC: Students with disabilities who need reasonable accommodations areencouraged to contact the instructor. The Disability Programs and Re-source Center (DPRC) is available to facilitate the reasonable accommo-dations process. The DPRC is located in the Student Service Buildingand can be reached by telephone (voice/TTY 415-338-2472) or by email([email protected]).Religious Holidays: Reasonable accomodations will be made f or you to ob-serve religious holidays when such observances require you to be absentfrom class activities. It is your responsibility to inform the instructorduring the first two weeks of class, in writing, about such holidays.3MATH 227: Course ScheduleSpring 2009Text: University Calculus by Hass-Weir-Thomas.In the table below, A.B refers to Section B of Chapter A.1/27 Tu 4.6 3/24 Tu no class1/29 Th 4.7 3/26 Th no class1/30 F discussion 3/27 F no class2/3 Tu 5.1 3/31 Tu no class2/5 Th 5.2 4/2 Th 6.42/6 F discussion 4/3 F discussion2/10 Tu 5.3 4/7 Tu 7.12/12 Th 5.4 4/9 Th 7.22/13 F discussion 4/10 F discussion2/17 Tu 5.5 4/14 Tu 7.32/19 Th 5.6 4/16 Th Review2/20 F discussion 4/17 F Midterm #22/24 Tu 5.7 4/21 Tu 7.42/26 Th 6.1 4/23 Th 7.52/27 F discussion 4/24 F discussion3/3 Tu 6.2 4/28 Tu 7.63/5 Th 6.3 4/30 Th 7.73/6 F discussion 5/1 F di scussion3/10 Tu 8.1 5/5 Tu 7.83/12 Th 8.2 5/7 Th 7.93/13 F discussion 5/8 F discussion3/17 Tu 8.3 5/12 Tu 7.103/19 Th Revi ew 5/14 Th Revi ew3/20 F Midterm #1 5/15 F