Math205 MM syllabus - Department of Mathematics, CCNY
Transcription
Math205 MM syllabus - Department of Mathematics, CCNY
Math 205 Course Guidelines Instructor: Ion Antonescu Email: math205@me.com Course Website: http://math.sci.ccny.cuny.edu/courses?name=Math_20500 Office: NA 6/301 Office Hours: Tue/Thurs. 9:30 - 10:45 (and by appointment) Class Hours: 20500-MM: Tue, Thurs. 11:00AM-12:15PM 6/113 & Fri. 11:00-11:50 AM, room 6/113 Text: Calculus and Its Applications, by Goldstein, Lay & Schneider, Prentice Hall (Custom edition for City College.) Section !"#$$ $ 4"4$$ $ 4"#$$ $ 4">$$ $ 4"@$$ $ 4"B$$ $ 4"D$$ $ 4"H$$ $ >"4$$ $ >"#$$ $ >">$$ $ #"4$$ $ #"#$$ $ #">$$ $ #"@$$ $ !"B$$ $ #"OP#"B$ $$ @"4$$ $ @"#$$ $ @">$$ $ @"@$$ $ @"O$$ $ @"B$$ $ O"4$$ $ O"#$$ $ O"@$$ $ B"4$$ $ W"4$$ $ B"#$$ $ B">$$ $ W">$$ $ B"@$$ $ $ $ $ $ $ $ $ $ $ $ $ $ $ $ $ $ $ $ $ $ $ $ $ $ $ $ $ $ $ $ $ $ Topic %&'($)'*&+,-.,$/0.1,2&.3$$ 56($%7&*($&8$-$%,+-296,$:2.($$ 56($%7&*($&8$-$;0+<($-,$-$=&2.,$$ 56($?(+2<-,2<($$ :2'2,3$-.A$,6($?(+2<-,2<($$ %&'($C07(3$8&+$?288(+(.,2-,2&.$$ E&+($FG&0,$?(+2<-,2<(3$$ 56($?(+2<-,2<($-3$-$C-,($&8$;6-.9($$ 56($=+&A01,$-.A$I0&,2(.,$C07(3$$ 56($;6-2.$C07($-.A$,6($J(.(+-7$=&K(+$C07($$ )'*7212,$?288(+(.,2-,2&.$-.A$C(7-,(A$C-,(3$$ ?(31+2G2.9$J+-*63$&8$/0.1,2&.3$$ 56($/2+3,$-.A$%(1&.A$?(+2<-,2<($C07(3$$ ;0+<($%L(,162.9$M).,+&A01,2&.N$$ ;0+<($%L(,162.9$M;&.17032&.N$$ /0.1,2&.3$-.A$J+-*63$2.$F**721-,2&.3$$ Q*,2'2R-,2&.$=+&G7('3P$/0+,6(+$Q*,2'2R-,2&.$=+&G7('3$$ ST*&.(.,2-7$/0.1,2&.3$$ 56($ST*&.(.,2-7$/0.1,2&.$T($ ?288(+(.,2-,2&.$&8$ST*&.(.,2-7$/0.1,2&.3$$ 56($U-,0+-7$:&9-+2,6'$/0.1,2&.$$ 56($?(+2<-,2<($&8$7.T$ =+&*(+,2(3$&8$,6($U-,0+-7$:&9-+2,6'$/0.1,2&.$$ ST*&.(.,2-7$J+&K,6$-.A$?(1-V$$ ;&'*&0.A$).,(+(3,$$ /0+,6(+$ST*&.(.,2-7$E&A(73$$ F.,2A288(+(.,2-,2&.$$ ).,(9+-,2&.$GV$%0G3,2,0,2&.$$ F+(-3$-.A$C2('-..$%0'3$$ ?(82.2,($).,(9+-73$-.A$,6($/0.A-'(.,-7$56(&+('$$ S<-70-,2&.$&8$?(82.2,($).,(9+-73$$ F+(-3$2.$,6($TVX=7-.($ Grading The grade you earn in this class will be based on homework, quizzes, in-class exams, and your final exam. The grade breakdown is as follows: In-class exams 45% Class participation (HW, Quizzes, Attendance) 15% Final exam 40% 97-100 94-96 90-93 A+ A A- 87-89 84-86 80-83 B+ B B- 77-79 74-76 70-73 C+ C C- 60-69 D Below 60 F Homework Homework is to be checked/turned in at the beginning of class. As a general rule, I do not accept late homework. You are expected to do every assignment in its entirety. Examinations You will have regular in-class tests and quizzes throughout the semester. In general, they will not be cumulative and will be based on material recently covered in class. However, the final exam will contain all the material covered during the entire semester. Attendance and Lateness (in accordance with Math Department policy) Attendance will be taken at the beginning of each class. You are late if you arrive in class after your name is called. You are absent if you do not arrive during the first ten minutes of class. You will be assigned a WU grade after a 6th unexcused absence. In order for an absence to be excused, you need to email me on the same day with a legitimate reason. I strongly recommend you show up to class on time. General advice Get an early start. And do not fall behind in class. The material covered in the beginning is easier than that covered towards the end, but the course builds on prior material, and the speed at which I cover the topics will increase. So if you keep pace, you won’t have to worry about catching up. I will give regular tests and homework so that you can keep track of how you are doing, but if you are having trouble in the class or if there are circumstances I should be made aware of, it is your responsibility to speak to me. If you don't tell me, I can't help you. Miscellaneous All information not detailed in this syllabus will be supplemented by the City College of New York Rules and Regulations. Optional Reference books: Bob Miller's Calc for the Clueless: Calc I (Bob Miller's Clueless Series) (Paperback) http://www.amazon.com/Bob-Millers-Calc-CluelessI/dp/0070434085/ref=sr_1_2?ie=UTF8&s=books&qid=1233590374&sr=1-2 Schaum’s Outline of Calculus (various..Beginning Calculus, Concepts, 3000 Solved Problems) http://www.amazon.com/s/ref=nb_ss_b_6_5?url=search-alias=stripbooks&fieldkeywords=schaum%27s+calculus&x=0&y=0&sprefix=schau COURSE #: Math 205 COURSE TITLE: Elements of Calculus CATEGORY: Introductory; Part of sequence M205, M209 TERM OFFERED: Spring 2008 PRE-REQUISITES: Grade C or higher in Math 195 precalculus; or placement by the department. Credit will be given for only one of M201 or M205. HOURS/CREDITS: 4 hours; 4 credits DATE EFFECTIVE:1/23/07 COURSE SUPERVISOR: Chun Sae Park CATALOG DESCRIPTION : Limits, derivatives, rules of differentiation, graph sketching, maximum and minimum problems, related rates, exponential and logarithmic functions, differential equations, anti-derivatives, area, volume, Suggested Text: Calculus & Its Applications, Goldstein; custom edition (10th ed.) COURSE LEARNING OUTCOMES 1 Use limits to calculate derivatives Contributes to Departmental Learning Outcome(s): a,b.e1.e2 2.Differentiate algebraic, logarithmic and exponential functions a,b,e1,e2 3. Solve related rates problems a,b,c 4. Apply methods of calculus to curve sketching a, b 5 Solve maximum and minimum problems a,b,c,e1,e2 6. Use exponential functions to model growth and decay a, c 7 Antidifferentiate polynomial, logarithmic and exponential a,b,c,e1,e2 After taking this course, the student should be able to: functions 8 Use calculus to find areas and volumes a,b COURSE ASSESSMENT TOOLS Please describe below all assessment tools that are used in the course. You may also indicate the percentage that each assessment contributes to the final grade. 1. Class work (60%) 2. Final exam (40%) DEPARTMENTAL LEARNING OUTCOMES The mathematics department, in its varied courses, aims to teach students to a. perform numeric and symbolic computations b. construct and apply symbolic and graphical representations of functions c. model real-life problems mathematically d use technology appropriately to analyze mathematical problems e. state (e1) and apply (e2) mathematical definitions and theorems f. prove fundamental theorems g. construct and present (generally in writing, but, occasionally, orally) a rigorous mathematical argument. Academic Integrity: The CCNY policy on academic integrity will be followed. (See the link to this policy on the bottom of the home page of the CCNY website.) In regard to homework problems: Students are strongly encouraged to work together, but should not simply copy someone else’s work. When homework problems are due, students will be chosen at random to present their solutions to the class.