I. COURSE INFORMATION
II. COURSE DESCRIPTION
This course is mostly about integrals and anti-derivatives, as well as their applications. Specifically, you will learn fundamental rules for finding anti-derivatives and evaluating definite integrals, and apply your knowledge to problems from geometry, probability, and physics. You will also learn applications of anti-derivatives to setting up and solving differential equations. Finally, you will also learn about Taylor polynomials and Taylor series (which, other than time constraints, could have been covered in Calculus I).
III.PREREQUISITES
MATH 2413, Calculus I, or equivalent; or, placement by departmental test.
IV.TEXT AND OTHER SUPLIES REQUIRED
V.COURSE OBJECTIVES
Objective #1. Most real applications of the definite integral are developed starting from its definition. You will understand the definition of the definite integral as the limit of Riemann sums, and use it to translate word problems into integrals. This goal corresponds roughly to Chapters 6 and 8 of the textbook, as well as Labs 1, 2, 3, 5, 6, and 7. You'll learn this idea through classroom interaction and work on the homework and labs mentioned above.
Objective #2. The result of goal 1 will be definite integrals, which must then be evaluated. You will be able to analyze the algebraic pattern of functions in integrals to determine the best evaluation technique for those integrals. This goal corresponds roughly to Chapter 7 of the text, as well as Lab 4. You'll learn evaluation methods and how to decide among them through classroom interaction and work on the homework and labs mentioned above.
Objective #3. The last two topics in the text, Taylor series and differential equations, are critical topics for later study in mathematics. You will understand the purpose for, and simple mathematical methods of, differential equations and Taylor series. This goal corresponds to Chapters 9 and 10 of the text, as well as Labs 8-11. You'll learn about differential equations and Taylor series through classroom interaction and work on the homework and labs mentioned above.
VI. INSTRUCTIONAL METHODS AND ACTIVITIES
The class uses lecture format but students are expected to
participate in the class. Students are expected to read the text
before class as directed and be prepared to participate in the class
by calculating and evaluating models. The lab meetings are held in a
computer laboratory, and consist of directed student inquiries with a
lab assistant to help as needed.
VIII. EVALUATION AND GRADE ASSIGNMENT
Grades: Course grades will be based on homework (10%),
group/daily work (10%), midterm (10%), qualitative asessments (15%),
skills assessments (15%), a project (5%), labs (25%) and a final exam
(10%). A weighted average of at least 90% earns an A, 80% earns a B,
70% earns a C, 60% earns a D. Less than 60% earns an F.
Homework: Homework will be assigned at each class meeting that we cover new material. Please turn it in at the second class meeting of the next week after it is assigned. Homework will be scored for completion.
Group and Daily Work: Some of the time spent in class will be in groups. The purpose of the groups is to increase your active participation in the class. You will be interacting with your group members, working on assignments, and so on. Your participation and production will be noted and recorded. Also, study questions which can be answered after reading the sections should be completed and turned in at the start of class. They will form the basis for discussion that day.
Qualitative Assessments: There will be 6 brief written assessments over the course of the semester. They will be cover the content of the most recent chapters. Emphasis will be on your written explanation of your solution and answers. All such assessments are in class. Materials allowed include a graphing calculator and a handwritten sheet of notes.
Skills Assessments: There will be 6 skills assessments over the course of the semester. Their purpose is to give you a chance to demonstrate your mastery of the skills necessary to "do" calculus. Mastery will be demonstrated by scoring 9 of 10 questions completely correctly, without notes or book or calculator. You will be allowed three attempts do so. The first time, full credit will be awarded, The second time, 90% of full credit will be awarded, and the third time 80%.
Midterm/Final Exam: The midterm and final exams will be comprehensive. The final will be held on Tuesday, December 16 from 4:30 - 7 PM. Materials allowed include a graphing calculator and a handwritten sheet of notes. PLAN TO BE THERE.
Project: All students will complete an independent project based on material from the textbook or an idea of their own choice. The topic will need to be approved by the instructor. The work should be independent or joint with one other student. It should incorporate material learned in the class. The product will be a 2-3 page typed paper and a 5 minute presentation. A topic will be presented to the instructor by Oct 31 and the paper turned in by November 15.
Labs: One quarter of the grade and credit for the course will be based the student's performance in the lab. The labs are available at the bookstore. Peer discussion is promoted in the lab setting, however unless otherwise directed, the final product should be the result of individual work. Students are expected to download the appropriate lab and complete any pre-lab assignment before coming to lab each week! Unless otherwise indicated, pre-lab assignments will be due at the beginning of lab. The lab instructor will inform you of the grading policies for the labs.
All lab assignments must be completed using Derive for Windows software, unless prior approval is given by the lab instructor. Lab assignments will be due at the beginning of the next lab session. Late work will not be accepted without prior approval of the lab instructor! A grade of zero may be given for any lab assignment not turned in to the lab instructor on time.--Please keep in touch with the lab instructor if you miss a lab for any reason.
VIII. TENTATIVE COURSE SCHEDULE (Attached.)
IX. CLASS POLICIES
Attendance: I take attendance to check for registration snafus
and to learn your names, and will not check after the first week or
so. You are on your own after that. However, if you miss any in-class
work, you will not be allowed to make it up. If you miss a test or
final without prior permission or a verifiable medical excuse, you
will receive a 0 for that test or final. If you do have an excused
absence, you must submit a written claim (e-mail is OK) to that
effect. Do not assume that I have acknowledged your excuse until you
have your claim returned with my approval.
Late Homework: In general, I accept homework after deadlines without penalty until such time as I have graded the homework of your classmates. After that time, I will continue to accept late homework, but with an increasing penalty as its lateness increases. Homework turned in more than 3 weeks after the due date will receive no credit. I also reserve the right to enforce exact deadlines on particular assignments if I feel it is important.
Registration: You are the only person responsible for your registration in this class. If for some reason you decide not to continue with the course, you will need to see your advisor or the registrar to drop the course. If you quit coming to class and do not drop, I will be forced to assign you a grade based on the work you have completed, usually an F. Please don't make me do that. The last day to drop any university grade without that happening is November 3, 2003
Help: Free tutoring is available at the Tutoring and Learning Center on the Second floor of the library. The hours are 9 AM to 8 PM, Monday to Friday, closing early at 3 PM on Friday. Don't forget that I hold regular office hours. Wherever you get it, don't wait for the last minute to get help!
Responsibility: This class is run for the mathematical development of all participants. All students must accept responsibility for participating and consequences of not participating.
ADA: TheMathematics Program complies with the Americans with Disabilities Act in making reasonable accommodations for qualified students with disabilities. If you need disability accommodations in this class, please see me as soon as possible. Please have your accommodation letter from TAMU-CC Services for Students with Disabilities Office with you when you come see me. If you suspect that you may have a disability (physical impairment, learning disability, psychiatric disability, etc.), please contact the Services for Students with Disabilities Office (located in Driftwood 101) at 825-5816. It is important that you contact them in a timely fashion as it may take several days to review requests and prepare accommodations.