MCS 122: Calculus II

Fall 2006

Catalog description

A continuation of Calculus I. Topics to be covered include: techniques and applications of integration, an introduction to and the uses of infinite series, including power series and Taylor series, and the basics of ordinary differential equations.
Prerequisite: MCS 121 (Calculus I)

This course meets the MATHL general education requirement (QUANT, pre-2005).

The goals of the course are to give the student

knowledge of the topics in the syllabus
skill in carrying out the operations and algorithms of calculus
practice in mathematical modeling and problem solving
understanding and appreciation of the axiomatic and logical structure of calculus
appreciation of the role of calculus in the history of ideas and its impact on the natural and social sciences.

Instructor: John Holte

schedule

holte@gac.edu

Note:

http://www.gac.edu/~holte/

Class meetings

Section 1:	9:00-9:50	MTRF	Olin 317
Section 2:	2:30-3:20	MTRF	Olin 320

Regular attendance is expected. Class time will be used for a variety of activities--lectures, discussions, problem solving, and presentation of solutions. You should come to each class prepared for the day's work; read the text before (as well as after) the class.

Textbook

Calculus: Single Variable by Hughes-Hallett, Gleason, et al. ( John Wiley & Sons, New York, 4th Edition, 2005). This text is written specifically to aid you in understanding the concepts of calculus, and our questions and problems will require you to invoke your understanding rather than to mimic template problems worked in the text, so you should read this text, both before and after each class

MCS 122 web page

http://www.gac.edu/~holte/courses/mcs122/fall06/

Bookmark this page. You will find problem assignments and course updates posted here.

Calculator

You should have a graphing calculator to use in class and on exams, such as a TI-83 or TI-86 or better TI or a programmable, graphing Casio, HP, or Sharp.

Syllabus & Exam Schedule

Dates	Chapter	Topic	Exam
Sept. 7-11	1-6	Review
Sept. 12-Oct. 2	7	Techniques of integration	Mon., Oct. 2
Oct. 5-20	8	Applications of integration	Fri., Oct. 20
Oct. 26-Nov. 14	9 10	Sequences & series Approximating functions	Tue., Nov. 14
Nov. 16-Dec. 8	11	Differential equations
Dec. 11-12	7-11	Wrap-up & review	Sat., Dec. 16 1:00-3:00

Exams

We will have three evening unit examinations during the semester and a two-hour final examination at the end. They are scheduled as follows:

Exam 1	Monday, October 2	5:30-7:25 in Olin 103 OR 7:30-9:25 in Olin 320/321
Exam 2	Friday, October 20	9:00-9:55 in Olin 317 or 2:30-3:25 in Olin 320
Exam 3	Tuesday, November 14	5:30-7:25 OR 7:30-9:25 in Olin 103
Final exam	Saturday, December 16	1:00-3:00 in Olin 103

Quizzes

Occasional quizzes--some announced and some unannounced--will be given throughout the semester to reward those students (ideally all of them) who are keeping up with the course on a daily basis.

Homework

Homework assignments will be collected about once a week, but you are advised to do the problems from each section right after the class meeting on that section. A selection of the problems turned in will be graded. You are allowed and encouraged to discuss homework problems with others, but (see the College Academic Honesty policy) ultimately you must work the problems and write up the assignment entirely by yourself. As a general rule, you must justify your answers: Explain, or show your work. Occasional extra credit problems will be assigned. These will be especially challenging and should be done without consulting anyone else. Typically one extra credit problem will be worth as much as 1/2 of a week's regular homework.

Homework rules

Acknowledge your sources (people and texts).
In nontrivial problems, show how you get your answers.
Turn in neat, well-written solutions, not messy first drafts. Trim "fringes." Staple pages.
Do not copy collaborative solutions; write up solutions in your own words.
Turn in homework on time. Late homework will not be graded.
Do extra credit problems entirely on your own.

Grading

Percent	Work	Notes
20%	Weekly homework	The lowest assignment score each half-semester will be discarded.
54%	Three unit exams	Six scores, two for each exam,worth 9% each
27%	Final exam	Last unit plus comprehensive coverage Recorded as three scores, each worth 9%
-9%	One exam score	The worst of the nine exam scores will be discarded.
8%	Quizzes & worksheets	The quizzes may have varying values.

Minimum letter grades for tests/exams:

Exam
score 93-100 90-92 87-89 80-86 77-79 73-76 68-72 64-67 60-63 55-59 0-54
Letter
grade A A- B+ B B- C+ C C- D+ D F

Exam score	93-100	90-92	87-89	80-86	77-79	73-76	68-72	64-67	60-63	55-59	0-54
Letter grade	A	A-	B+	B	B-	C+	C	C-	D+	D	F

Participation and performance factors may modify your grade.

You are expected to contribute to a classroom atmosphere that encourages learning and is marked by respect for your fellow learners. This involves, in part, faithful attendance, preparation, and participation, particularly including attendance in the classes immediately before and after each break. Excessive absences will lower your grade. I may take into account exceptional effort and/or a trend of improvement throughout the semester. I appreciate students who are more interested in points of mathematics than in points of grading.

Academic honesty

"The faculty of Gustavus Adolphus College expects all students to adhere to the highest standards of academic honesty... In all academic exercises, examinations, papers, and reports, students shall submit their own work. Footnotes or some other acceptable form of citation must accompany any use of another's words or ideas."
"The following code will be written in full and signed on every examination and graded paper:
'On my honor, I pledge that I have not given, received, or tolerated others' use of unauthorized aid in completing this work.'"
The complete statement of the honor policy may be found at: http://www.gac.edu/oncampus/academics/general_catalog/current/acainfo.cfm.
"By enrolling classes at Gustavus, you have taken up membership in a worldwide community of scholars, and like any community, Academia has ethical standards to which you are expected to adhere. You are expected to learn and follow the principles of honesty and integrity that apply in academic life. Among those standards are that you faithfully represent your own work, acknowledge any borrowing from the work of others, avoid falsifying data or sources, be respectful of other scholars' efforts and not interfere with their access to resources (e.g., by misappropriating or damaging library materials), do a fair share of the work in group efforts, give others the benefit of your informed opinions and observations in discussion, and be respectful of others' values, knowledge, and feelings while developing your own.... Regrettably, serious and deliberate violations of ethics may incur serious penalties.... If you are in doubt about whether your work conforms to ethical standards, please inquire--you are, after all, a learner." --John Rezmerski, Advising and Registration Manual 1995-96, pp. 60-61.
A first violation of the academic honesty policy will result in a zero grade on the paper in question and a report to the office of the Dean of the Faculty. A second case will result in a failing grade for the course.

Make-up policy

not

not

Extra help

Please feel free to see me during office hours and at other times when my door is open.
Student tutors will be available in Olin 6:30-9:30 p.m. Sunday through Thursday evening to help you to learn calculus. They will not work your homework problems for you, but they will answer your relevant questions.
Please contact me during the first week of class if you have specific physical, psychiatric, or learning disabilities and require accommodations. I will do my best to facilitate the necessary arrangements. All discussions will remain confidential. You can provide documentation of your disability to the Advising Center (204 Johnson Student Union) or call Laurie Bickett (x7027).