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SPRING 2011
MTH 252 INTEGRAL CALCULUS
Tentative Syllabus
COURSE NUMBER: MTH 252 (5 Credits) INSTRUCTOR: Ahmad Rajabzadeh
CRN: HYPERLINK "http://sis.linnbenton.edu/sis/prod/lbw_sched.P_DrawCRNDetail?v_CRN=45568&v_Term=201004&v_Role=" 45568
CLASS HOURS: MW 4:00 6:20PM Classroom: BC 104
OFFICE HOURS: MW 6:30 7:30PM OFFICE LOCATION: BC 201A
Th 3:30 4:00 PM, E-MAIL: HYPERLINK "mailto:rajabza@linnbenton.edu" rajabza@linnbenton.edu
And by appointment PHONE: 757-5150
PREREQUISITES
MTH 251, Differential Calculus, or an equivalent course, or instructors approval with placement test.
COURSE DESCRIPTION
This is the second course in the calculus sequence for students majoring in mathematics, science, and engineering. Topics to be discussed this term include techniques of integration, numerical integration, improper integrals, and applications of integration.
Math 252 covers most of the material found in Chapters 4.9, 5, 6, and 7 of the required text and some of the material in Chapter 8.
MATERIALS NEEDED
Required Text: Single Variable Calculus Early Transcendentals, 6th Edition, by James Stewart
OR
Single and Multiple Variable Calculus Early Transcendentals, 6th Edition, by James Stewart (If you plan to take MTH 254, get the multivariable version.)
A graphing/programmable calculator: a TI-83, TI-83 plus, or TI-84 will be used in class for demonstrations; other calculators are not supported. Any calculator higher than TI-84 will not be allowed on any exam.
Graph paper, a straight edge, a pencil and an eraser are required. Green or yellow engineering graph paper or plain 4 or 5 squares per inch graph paper (without axes) are best. Avoid graph paper with more than 5 squares per inch because it is hard to read.
A Note on Calculator Use
Calculators such as the TI-89 and the TI-92 that can do symbolic algebra and derivatives will not be allowed during tests or the final exam. Also, parts of tests or the final exam may be specified as No Calculators Allowed. Questions about your calculator? See me.
COURSE OBJECTIVES: Upon successfully completing the course the student will be able to:
estimate & calculate totals given information about rates of change.
understand the definite integral as a limit of Riemann sums.
interpret the meaning of and use correct notation for a definite integral.
compute definite integrals using the First Fundamental Theorem of Calculus.
understand how the definite integral and the average value of a function are related.
use properties and theorems pertaining to integrals.
graphically and numerically construct antiderivatives.
work with elementary differential equations and their slope fields.
work with functions defined in terms of definite integrals with a variable limit(s) of integration and apply the Second Fundamental Theorem of Calculus to the analysis of these functions.
understand that the indefinite integral represents a family of antiderivative functions.
find definite & indefinite integrals using basic rules, the substitution method, integration by parts, and tables.
use the midpoint, trapezoid, and Simpson's rule to approximate definite integrals.
use the methods & techniques of integral calculus to solve a variety of application problems.
use a programmable graphing calculator as an effective tool in confirming analytical work and obtaining numerical and graphical results related to integral calculus.
INSTRUCTIONAL METHODS:
The instructional methods used in this class will consist of a combination of lecture, demonstration, question & answer, and some small & large group work as time permits. Appropriate technology will be integrated at the instructor's discretion.
CLASSROOM GUIDELINES:
To help create an atmosphere where I am able to teach and you and your fellow students are able to learn free from disturbance and distraction, please:
Before entering the classroom turn off your cell phone (including the silent ring feature), beeper, I-pod, CD player, and/or any other electronic device(s) that you may have with you.
Do not carry on conversations with one another while class is in session as a large group. If you have a question or comment, please get my attention by raising your hand. When called upon, please speak so that the whole class can hear you.
If your childcare arrangements for the day don't work out, please make other arrangements. As a general rule, children will not be allowed in the classroom. If for some reason you feel that there is no other choice but to bring your child or children into the classroom, please speak with me first.
Feel free to talk with fellow class members before class begins, during group work, when I am circulating and/or helping students individually and when I give permission to do so.
RESOURCES AND HELP
Make a note of my office hours and make use of them. If my hours dont fit your schedule, we can arrange another appointment time. Just ask! I will be glad to help you whenever I can. Please note I am on limited time at BC campus.
The Learning Center is an excellent place to study and get math help. The relaxed atmosphere and table arrangement make it a great location for study groups to meet and work. Please remember to log on and off the sign-in computer with each visit.
Drop-in tutoring is available in the LRC (Albany campus) and Help Desk at Benton Center. An instructional assistant is available at the math help desk whenever the Learning Center is open. S/he is prepared to answer all your algebra, trig, and calculus questions as well as help you with your calculator.
Grading
Success in calculus requires a serious commitment on your part. Class attendance, as well as regular reading and homework practice, are critical to your success. Plan to spend at least 10 hours per week studying calculus outside of class. This course will include lecture, small-group work, and written assignments. You will be expected to take an active role in your study of calculus.
Grading (continued)
It is responsibility of the student to withdraw from the course if they do not wish to receive a letter grade. The last day to withdraw is listed in the current schedule of classes. No grades of Y or WP will be given in this class.
An incomplete I grade will not be assigned unless a student has talked with me in advance and a signed agreement between the student and me has been agreed upon. I will consider giving an incomplete to a student only if the student has a good reason for making the request. An incomplete will not be given just because a student is not satisfied with his/her performance in the class.
Course grades will be based upon a 600 point scale. Your grade in the course will be based on your total number of points accumulated from the following:
2 midterm tests at 100 points each... 2 100 = 200
Final Exam 200
Group activities . . = 70
Homework Quizzes/ concept quiz/ in class problems... = 80
Skill Test .. 50
Total 600
Grading Scale:
Course grades will be assigned using the following point scale:
A: 530 600 D: 350 414 B: 475 529 F: 0 349
C: 415 474
I reserve the right to move the grade boundaries down, but I will not move them up.
Attendance
Important! The first week, you MUST attend at least 50% of the class sessions, or you may be administratively dropped.
Class attendance is most important in the learning process. Students are expected to attend every class meeting for which they have registered. In case of absence, it is your responsibility to find out the extent of the materials you missed. On most lecture days, there will be problems selected from textbook, or from hand-outs to solve in class and turn in for participation grade. This in-class activity is based on the development of the day lecture and will not be with prior notice.
It is expected that you will show up for class meetings on time. Entering the classroom late is distracting for me and the other students in the class. If you show up for a lecture, plan to stay for the entire period. It is just as distracting if you leave early as if you arrive late. Please be respectful of your classmates.
TESTS
There will be a two midterm (Wednesday of 5th week, and Monday of 9th week) and a final exam for this course. Be prepared to demonstrate your understanding and command of the course material listed in the syllabus for a test.
Midterm tests are given in the classroom as scheduled (as closely as possible) in the matrix of this syllabus. You have 60 minutes (or as specified on the test) to complete the midterm test and two hours for the final exam. The final exam for MTH 252 is comprehensive and will be 200 points. Tests may be of varied format: essay, short-answer, multiple-choice, problem solving, etc. Makeup tests will only be given on extenuating circumstances.
There will also be a 50 point skills quiz on differentiation techniques. Calculators are not allowed on this quiz. Your score for this quiz cannot be dropped.
ACTIVITIES
There are several activities in MTH 252. Each activity is a hands-on application of calculus concepts that you will complete as part of a group. Your grade on an activity will be based on accuracy, clarity of explanation, organization, and neatness, as well as on your contribution to the group effort. Since an activity requires that you work with classmates and may require special materials, you must be in class on the activity day to earn credit for the activity.
In-class Practice Problems
On most class meetings one or two problems from end of each section of textbook is chosen to work on in groups of two or three students. You are encouraged to work as a team to come up with the correct solution to the problem. Each of these sets will be worth 5 points and sometimes will be considered extra points toward your total. There will be no make up for these activities; therefore it is important that you attend all class meetings.
HOMEWORK
To be successful in this class you must do homework on a regular basis. On most days you will have about 10 minutes at the start of class to discuss homework. This time is your opportunity to ask questions about the homework or to better understand a math concept by explaining it to someone else. Make a habit of coming to class on time and ready to talk about homework. To get the most from the homework discussions, bring your homework to class each day, have it neatly-organized in your notebook, and mark problems about which you have questions. We will not always discuss homework problems as a whole class
Homework Quizzes
Eight homework quizzes will be given on the dates shown on the tentative term schedule (or on Wednesdays). The homework quiz will be given during the last ten minutes of class and will consist of four or five problems primarily taken directly from the required homework assignments for the section. One problem may not be chosen from the assigned homework. You may use your written homework on the quiz, but you may not use your book or a copy of someone else's homework. A logical sequence of steps leading to an answer (your work) must be shown in order to receive full credit for a problem. That means you will not receive credit for just writing down the correct answer to a problem or for including sketchy or illegible work.
The homework problems will not be explicitly stated on the homework quiz but will be identified by section, page, and problem number only. For example, you might see "Section 1.2, page 24, problem number 7." Thus, you will find it helpful to organize your homework carefully. Number the problems, put them in sequential order in your notebook, and highlight your answers, etc., so that you can complete the quiz quickly and accurately. The quiz is simply a check of your homework. You should be able to just copy your work onto the quiz paper. You will not have enough time to work out the homework problems on the quiz if you have not already worked them. As you do your homework, be sure to show enough steps so that your work makes sense to you later on. Also, be sure to check your answers!
Each homework quiz counts as a 10-point. Only your best 6 quizzes are taken for grade calculation. You should keep track of your homework quiz scores and all of your in-class activity scores on the page provided at the end of this syllabus.
Disabilities Services and Emergency Planning Meet with Instructor in Week 1
If you need support or assistance because of a disability, you may be eligible for academic accommodations through Disability Services. If you have emergency medical information for your instructor, need special arrangements to evacuate campus, or have a documented disability, please meet with your instructor, by appointment, no later than the first week of the term, to discuss your needs and present your ODS accommodation letter. If you have a documented disability that will impact you at college and you have yet to seek accommodations, contact the Office of Disability Services (ODS) for intake and to document your disability with LBCC. Only students who document a disability and present an accommodation letter to an instructor are entitled to academic accommodation. Instructors may need time to arrange your accommodations. ODS may be reached from any LBCC campus/center by e-mail to HYPERLINK "mailto:ODS@linnbenton.edu"ODS@linnbenton.edu or by calling 917-4789. Letter pickup is available at each LBCC campus/center.
Academic Integrity
Integrity is extremely important in any science or engineering discipline. It is taken no less seriously in the classroom.
The Instructor has the right to issue a grade of "F" for the course in which the instructor believes the student has cheated.
Math 252: Tentative Weekly Schedule
Week 1Mon: Mar 28
Wed: Mar 30Introduction to Course
Quiz #1 (Diagnostic Test: Pre-calculus and Derivatives and Math 251)
Sec 4.9: (Hwk: 2, 5, 9, 14, 15, 19, 21, 29, 31, 39, 40, 47, 49, 57, 63)
Sec 5.1: (Hwk: 1, 4, 5, 12, 13, 16, 17, 18, 20, 21)Week 2Mon: Apr 4
Wed: Apr 6Quiz #2 (Mon)
Sec 5.2: (hwk: 1, 4, 7, 10, 17, 20, 21, 24, 29, 33, 36, 39, 42, 47, 48)
Sec 5.3: (hwk: 1 - 56 by 5s i.e. 1, 6, 11, 16, .)
Sec 5.4: (hwk: 1 - 61 by 5s, not 46)
Refund Deadline is Sunday, April 11Week 3Mon: Apr 11
Wed: Apr 13Quiz #3 (Mon)
Sec 5.5: (hwk: 1 - 66 by 5s)
Sec 6.1: (hwk: 1 - 51 by 5s, not 31)Week 4Mon: Apr 18
Wed: Apr 20Quiz #4 (Mon)
Sec 6.2: (hwk: 1 - 36 by 5s, and 56, 61)
Sec 6.3: (hwk: 1 - 26 by 5s, and 37, 40)Week 5Mon: Apr 25
Wed: Apr 27Sec 6.4: (hwk: 1 - 4, 7, 10, 12, 13, 15, 18, 20, 21, 22, 26)
Sec 6.5: (hwk: 1 - 19 by 3's , i.e. 1, 4, 7, 10, 13, .)
Test 1 ( over 4.9 6.4) (Wed 4/28)Week 6Mon: May 2
Wed: May 4Sec 7.1 (hwk: 1 - 51 by 5s, (not 16, 21, 46) add 59)
Sec 7.2 (hwk: 1 - 51 by 5s, 56abc, and 61)
Quiz #5 (Wed)Week 7Mon: May 9
Wed: May11Sec 7.3 (hwk: 1 - 28 by 3's)
Sec 7.4 (hwk: 1 - 36 by 5s, and 47)
Quiz #6 (Wed)
Schedule Change Deadline (grade change) is Friday, May 14, and on sis may 16Week 8Mon: May16
Wed: May18Sec 7.5 (hwk: 1, 8, 15, 22, 29, 38, 43, 57, 64, 71, 74)
Sec 7.6 (hwk: 1 - 31 by 5s)
Skill Quiz (Wed May 19)Week 9Mon: May23
Wed: May25Test 2 (Over 4.9 7.6) (MondayMay 24)
Sec 7.7: (hwk: 1 - 21 by 5s)
Sec 7.8: (hwk: 1 - 41 by 5s, and 64)
Sec 8.1: (hwk: , 4, 11, 16, 21, 35)
Week 10Mon: May30
Wed: Jun 1Memorial Day (Mon) (College Closed)
Sec 8.2: (hwk: 1 - 16 by 3's)
Sec 8.3: (hwk: 1, 4, 6, 9, 12, 13, 21 33 by 3s)
Quiz #7 (wed)Week 11Mon: Jun 6
Final Exam (Over all topics covered)
Monday, June 9th 2010, From 4:00 6:00PM
PAGE 5
Math 252, LBCC sp2011
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