Calculus II
MAT 225 Fall 1998
MTWF 10:00 to 10:50 AM in Draper 105 at Berea College
Course Description:
This course is a continuation of Calculus I. Main topics include the definite integral; integration techniques; numerical integration; indeterminate forms; exponential, logarithmic and trigonometric functions. In addition to using a state-of-the-art graphing calculator, the microcomputer graphing program, computational package, and computer algebra system, Maple, will be introduced and used in the analysis of selected problems.
Course Goals:
The main goal is to have fun gaining knowledge about integral calculus! After satisfactory completion of this course, students should be have gained facility with applying the ideas of integral calculus in a variety of applications, and they will have gained familiarity with using the computer to explore mathematical and graphical representations of quantitative ideas. Students will also gain experience in communicating mathematical ideas to others, and will gain experience in using technology to solve complicated problems, such as arise in the real world.
Help is Available:
| Instructor: Dr. Jan Pearce | MATH LAB |
| 103 Draper ext. 6388 | 105 Draper |
| 9:30-10 A.M. MTWF & 2-3 PM MF | 7-9:30 PM M-R & 6-8 PM Sun |
Calculator:
Graphic Calculator HP-38G with included manual
If you already have another graphing calculator that you know how to use well, then use it instead. Otherwise, buy the HP-38G, so that you can learn how to use it with the class.
Text:
Calculus, by Hughes-Hallett, Gleason, et al
This text has become one of the most used college calculus texts. In this course, we will cover most of chapter 5, all of chapter 6, all of chapter 7 with additional supplements on partial fractions, part of chapter 8, and possibly have time for additional topics like polar coordinates. If you want to learn more beyond this course, then the material in Chapter 9 is covered in MAT 237, Differential Equations; and the material in chapter 10 is covered in MAT 230, Calculus III.
Atmosphere:
The members of this class constitute a learning community. Learning in such a community best takes place in an atmosphere in which instructor and students treat one another with mutual respect. Students need not raise their hands in order to ask questions or to make comments, but they should not interrupt the instructor or fellow students in doing so. Students typically find the atmosphere set by the instructor to be a sometimes playful and nearly always relaxed one, but they should be careful not mistake a relaxed atmosphere for an easy course. Students will need to work hard and consistently both in and out of class in order to succeed.
Attendance Policy:
Class lectures and discussions are considered to be a vital key to success in this course. It is the hope of the instructor that class sessions are both informative and useful, therefore attendance is expected at each class session unless a specific exception is made. This policy will be enforced in several ways. Quizzes may be announced or occasionally "popped", and under most circumstances, make-up quizzes will not be given. Make-up tests will under almost no circumstances be given, so missed tests will therefore count as the student's dropped 100 points. Absences from class are sporadically noted, and repeatedly unexcused absences will adversely affect the participation portion of the grade. In addition, the final grade may be lowered by one third of a letter grade for each absence after the fourth. Thus, it is the responsibility of the student to speak to the instructor about each absence from class. This should be done as soon as possible, and if at all possible before the absence occurs. Students who miss class are held responsible for all of the material covered, assigned, and collected in during their absence. Please note that assignments will be available on the course home page, so that students miss class will have access to the assignments.
System of Evaluation:
| points | Maximum Scale | Grade |
|---|
| Each of 4 Tests | 100 | 90-100% | A's | Yey! |
|---|
| Quiz Total | 100 | 80-89% | B's |
|---|
| Homework | 100 | 70-79% | C's |
|---|
| Journal, Maple Labs, & Participation | 100 | 60-69% | D's |
|---|
| Final Exam | 200 | 0-59% | F | Yuk! |
|---|
Grading Policies:
All student course grade computations are continually updated by the instructor, and students are strongly encouraged to check on their in-progress course grade during the term. After having completed all work prior to the final exam and before dropping any points, any student who is receiving an A or B on the above maximum scale using the appropriately weighted set of tests, quizzes, homework, and projects and who is satisfied with her or his grade, may elect to receive that grade as a final grade and will not be required to take the final exam. This decision must be discussed in advance with the instructor. For students taking the final, the lowest score earned on one 100 point exam score, quiz total or homework item will be dropped before computing the final grade. (Note that the project and participation grades can not be dropped.) If the lowest percentage score is earned on the final exam, the amount dropped will be scaled to 100 points. A student's final grade may be raised above her or his earned percentage grade if in the instructor's opinion the student has shown significant improvement throughout the course or shows outstanding work on the final. On all final grades the "+" and "-" designations will be assigned at the instructor's discretion, and the grading scale may be lowered from, but not elevated from, the maximum scale.
Tests and Quizzes:
Tests and frequent short quizzes will be given in this course. In general, the announced quizzes will consist of questions on the assigned text readings or one or two homework-like problems. Problems that appear on a test will be more varied in nature, ranging from simple homework-like problems to problems that require a deeper synthesis of ideas and from true or false questions to short-answer questions. Students should not use red pen when taking quizzes or tests.
Final:
The comprehensive final will be during the regularly scheduled final exam time on Thursday, December 19 from 3:00 to 5:00 P.M.
Homework:
Homework will be assigned on a near-daily basis, since doing homework thoughtfully and conscientiously is one of the keys to success in this course. All written work should be neat, organized, and should show sufficiently many steps to demonstrate a clear understanding of the techniques used. All homework assignments must clearly include all of the authors' names at the top of each page. All electronic work should have names in the header when possible and good comments in programs. Homework is due at the beginning of class on the announced date due. Late assignments will be accepted for reduced credit up until the homework is returned, and late work must be labeled as late. Written or printed homework assignments should be turned in before class or at the instructors office, but should NOT be sent through the CPO, or given to a student assistant. Electronic work should be turned in the class folder on the network and not handed in on disk or through ccMail (unless otherwise instructed). A selection of the assigned homework problems will be graded for credit, and assignments not meeting the above standards may receive reduced credit. Students should not use red pen for written homework.
Working on homework assignments in groups is strongly encouraged, and some assignments will be specifically designed for teamwork, others for individual work. (Due to forces beyond our control, tests and quizzes must be taken individually.) On any assignment in which half or more of the work was completed in a group, a single copy of the assignment should be handed in with all of the group's participants listed as authors. Due to the nature of the work in this course no group shall consist of more than two members. On any assignment where less than half of the work was completed in a group, individual papers should be handed in with the author acknowledging all of the help received for each problem. This includes significant help received from the instructor or in the computer lab. Note that the instructor or a lab assistant may help with homework, and while this help should not be acknowledged as co-authorship, it should still be mentioned. This is meant to be a sharing process; do not "give credit" to other students who have not attempted to contribute to the work or to the group's work, because it is ultimately not a help for the student who did not contribute to the work. Thoughtful practice, not (even mindful) copying, is ultimately the best way to learn. Warning: please be careful to conform to these standards, as failure to do so may result in a charge of academic dishonesty.
In addition, a separate cover slip is required to be attached or turned in with all assignments. On this cover slip, you must include all of the following:
- The names of all authors, including the roles played by each author
- Acknowledgment of all additional help received from those other than co-authors
- A short but clear descriptor of the assignment (text section numbers, etc.)
- The date the homework was due
- If the homework is being turned in late, this must be clearly indicated and the reason given.
Homework Bonus:
Through homework, students get the needed practice of application of the concepts. The instructor desires to strongly encourage a diligent effort on homework, so students who turn in 90% or more of all of the homework assignments on time, will be awarded an additional 10% on the homework grade!
Additional Help:
The Math Lab is open each Sunday from 6:00 to 8:00 P.M. and each Monday through Thursday 7:00 to 9:30 P.M.(except on evenings of convocations). The Math Lab Consultants should be able to answer most, but probably not all questions. Students are strongly encouraged to make use of the help available in the lab, as well as in the instructor's office hours. Best results are obtained trying to solve problems alone or in a group before asking for help, so in either place, students should be prepared to show what they have already tried. Topics in this course build throughout the course, so students should be sure to do their best to keep up with the class, so as to not get behind and possibly forever lost. Remember, no question to which one does not know the answer is ever "dumb" unless it goes unanswered because it remained unasked.
Journal:
In this course students are required to keep a journal. This should be a binder or notebook that used for this purpose only. Class notes should not be kept in the journal. All journal entries must be dated and kept in chronological order in this journal for the duration of the course. Failure to conform to these standards may result in a reduction of the journal grade.
The journal should serve several purposes. It will serve both as a place for students to summarize and reflect on the assigned readings and as a forum for a continuing dialogue between the student,and the instructor. The written format will allow time for reflection about certain topics and may be helpful in forming and clearly expressing views. It is the hope of the instructor that in the journal students will feel free to be honest in comments about the course content, structure, instruction, etc., as well as about your goals, hopes, and fears in relation to the course. The instructor will try to use these comments to alter the structure and pace of the course to best fit the class. The journal should be useful to the student, as well. For example, some of the questions will be directed to helping students discover (or confirm) their most effective learning, problem-solving, and studying styles.
Assignments of on-going as well as required topical entries will be announced. Students should feel free to write in the journal on any additional topics. Journals will be collected sporadically for comments.
Maple Labs:
Maple is what-is called a computer algebra system. This means that Maple can do your algebra (and much more) for you! Such systems are being used increasingly in industry, and students will gain experience in using this state-of-the-art tool though labs that will be assigned throughout the term. Since these labs may require a significant time commitment as well as a specific location requirement, they will have more extended deadlines. Due to the sometimes unpredictable nature of technology, students are forewarned not to procrastinate. The labs will be handed in electronically, but should never be sent through ccMail.
Projects:
A major project may be assigned during the term. Such projects require a much more substantial time commitment than regular homework assignments, and so will have more extended deadlines. Students are reminded not to procrastinate. Because students have access to professional state-of-the-art computers and application software, completed write-ups of the projects should be professional in both appearance and content. Some projects may be handed in electronically, but should never be sent through ccMail.