Math 113H-11: Calculus II

Syllabus, Winter 2007

Instructor: Dr. Lynn E. Garner, 348 TMCB, 422-6153

Web Page: http://www.math.byu.edu/~lynng/ e-mail: lynng@math.byu.edu

Teaching Assistant: Claire Newton e-mail: clairenewton@byu.net

Consultation Hours: 9:30–10:30 am TTh and 2–3 pm MWF in my office, 348 TMCB;

2–3 pm TTh in the Math Lab, 159 TMCB

Text: Garner, Calculus (5th Custom Edition), Chapters 7–10.

Class Format: Class will meet MTThF to discuss homework problems, present new material, and practice with new concepts and skills. Class activities might be group discussions, small group work, mini-lectures, quizzes, and other activities. Class meetings on W are usually review sessions (see the Schedule). Attendance is not taken.

Class Pace and Schedule: Chapters 7–10 will be covered at the rate of about 1.5 days per section. Some review of pertinent material from Chapters 2-6 may occur; most review will be conducted by the student individually. Topics and homework due are listed in the Schedule.

Objectives: Calculus is a pivotal course in the college curriculum. It is simultaneously the culmination of all previous work in mathematics, requiring all topics previously studied (and a few that got skipped), and the foundation for all work in subsequent science and mathematics courses. The development of the calculus was also a pivotal event in history, changing the human view of the physical universe and marking the beginning of the modern era in science and mathematics. The core topics of Calculus II appear in Chapters 7–10 of the textbook. Detailed objectives are listed in To The Student at the beginning of the text.

Studying Calculus: In addition to the suggestions given in To The Student at the beginning of the textbook, recognize that you will be expected to spend about twice as much time on this course outside of class as you spend in class. Additional suggestions include using my office hours effectively, studying in the Math Lab, studying with classmates, reviewing topics you know you should understand but have forgotten, and managing your time. If you begin to fall behind for any reason, notify me immediately.

Homework: Problems in each homework set are listed on the Schedule on the date due. You are encouraged to work together on homework, teaching each other the principles involved, but avoid donor-recipient relationships. Late homework can be accepted for full credit in case of extenuating circumstances. Unexcused late homework loses value by 25% per day for the first two school days, and is worth half credit thereafter until class time on the last day of classes, April 17. Homework is submitted in class, spot-checked by the TA, and given a “batting average” score. Your final homework score will contribute 10% of your grade.

Homework Format: Please write problem solutions on one side only of standard letter-sized paper. Put your name at the top of each sheet. Keep problems in order and label each problem with its number and section. Place only one problem in any horizontal space; visually separate consecutive problems by drawing a line between them entirely across the page. If the problem has a numerical or algebraic answer, highlight it in some way; if the answer involves an explanation, use complete sentences and correct grammar.

To submit homework, stack the sheets in order and fold the stack lengthwise to form a “book” with the back of the last page on the outside. On the front of the “book,” write your name, Math 113H, and the section of the textbook from which these problems are taken.

Quizzes: Occasionally, quizzes may be given in class. Quizzes may not be made up, but may be excused if there are extenuating circumstances. Quiz scores will be included with homework.

Term Report: Since this is an honors course, writing is expected. You will be required to write a report on the subject, “Calculus in My Discipline.” You are to interview one or two professionals in a discipline in which you are interested and find out how calculus contributes to the work and goals of that discipline. Report on your findings in a 2–3 page paper; assume that your audience is a group of your peers who are interested in your discipline and who are taking calculus or have taken it. The report will be graded on the standard rules of written English. It will be due in class on Monday, April 9, 2007, and will constitute 10% of your grade.

Midterm Tests: There will be a midterm test following each of Chapters 7–10, as entered in the Schedule. Test problems will be similar to homework problems. Tests 1 and 3 are in-class, closed-book; Tests 2 and 4 are take-home, open-book, and include group problems. Each test accounts for 15% of your grade.

Final Exam: There will be a departmental final exam given during finals week (see the Schedule) at a place to be determined. It will allow no references or calculators. Sample finals can be found at http://www.math.byu.edu/Courses/#exams. The departmental final assists the department in assigning calculus grades fairly across sections. All students in all sections are ranked according to final exam scores and given a grade using a historical distribution. From this, an average grade (“predicted GPA”) is computed for each section. It is department policy that grades be given so that the GPA for each section matches the predicted GPA. Thus, the higher you and your classmates score on the final, the more flexibility your instructor has to give good grades. The final exam will account for 20% of your grade.

Grading: The appropriate weighted average of homework, term report, midterm tests, and final exam will be computed for a course average, and grades will be assigned approximately as follows:

A- to A: 90-100% B- to B+: 80-89% C- to C+: 65-79% D- to D+: 50-64%

Technology: In this course, we assume that you have access to a graphing calculator or a computer mathematics application such as Maple, and know how to use it for graphing functions and integrating numerically. It is allowed on all course work except the final exam. Some suggestions for the use of technology can be found on my web page. Whether technology is helpful for a particular problem, you must decide.

Spirit of the Y: Since matters of faith and philosophy rarely arise in a mathematics class, your instructor wishes you to know at the outset that he fully supports the University, its standards and procedures, and its supporting Church, and he urges you to do the same. His religious philosophy is faith and obedience. He believes in the revelation that "... if a person gains more knowledge and intelligence in this life through his diligence and obedience than another, he will have so much the advantage in the world to come." (D&C 130: 19). He also believes that we have forgotten far more, because of the veil of mortality, than we will ever learn here, so that it is the diligence and obedience that give us the advantage, not just the knowledge. This is summarized in his educational philosophy, in matters of secular learning, more important than what you learn is what you go through to learn it. He also believes in the scriptural injunction to "... seek learning, even by study and also by faith" (D&C 88:118), but cautions, as Charles Schulz puts it:

The Fine Print. Here are some statements included at the suggestion of the University that inform you of some of your legal rights and responsibilities relative to this class.

Preventing Sexual Harassment BYU's policy against sexual harassment extends not only to employees of the university but to students as well. If you encounter sexual harassment, gender-based discrimination, or other inappropriate behavior, please talk to you professor, contact the Equal Employment Office at 422-5895, or contact the Honor Code Office at 422-2847.

Students with Disabilities BYU is committed to providing reasonable accommodation to qualified persons with disabilities. If you have any disability that may adversely affect your success in this course, please contact the Services for Students with Disabilities Office at 422-2767. Services deemed appropriate will be coordinated with the student and instructor by that office.