MATH 113: Calculus II

Kalamazoo College

Spring 2006

Syllabus

Topics to be covered (and tentative course schedule):
Week 1: Antiderivatives and Areas
Differentiation Skills Mastery Exam
Week 2: The Mean Value Theorem
Definite Integrals
The Fundamental Theorem of Calculus
Week 3: Techniques of Integration
Week 4: Approximation Methods
Hour Exam 1 (Friday)
Week 5: Areas and Volumes: Slicing Techniques
Week 6: Applications of Integration
Differential Equations
Week 7: Improper Integrals
Sequences
Week 8: First look at Series
Hour Exam 2 (Monday)
Week 9: Convergence Tests
Power Series & Taylor Series
Week 10: Review
Integration and Series Skills Mastery Exam
Exam Week: Final Exam, 8 - 11 Wednesday

Grades: Will be based on:

Differentiation Skills Mastery Exam 5%
Homework and Projects 30%
Two In-class Exams 30%
Calculus II Mastery Exam 10%
Comprehensive Final Exam 25%

Attendance and Participation:

Regular attendance and fully engaged participation is expected of all students in this course. In the case of any absence, whether excused or not, you are responsible for all the material covered in class. We may occasionally do in-class projects: If you are not in class, you cannot get credit for these projects. Active participation in the class means being on time, being prepared, listening to others, contributing ideas of your own, and asking questions as they come up.

Assignments:

Assignments, announcements, class notes, and other material will be made available on the course web site:
http://max.cs.kzoo.edu/math113/
Students are responsible for checking this resource frequently.

Homework is an integral part of the course. Homework problems from the textbook, and possibly elsewhere, will be assigned each day, along with several pages of reading. You are expected to come to class having completed the reading. You should also bring questions you have from the reading and exercises to class. There will always be one class day for questions and discussion between the assignment and its collection. Homework is due by 10:30 am on class day. To allow for illness and excused absences, everyone will be allowed three late days for asignments over the entire quarter. This means that you will be allowed to turn in three assignments any number of days late. After you have used your late days, I will not accept late assignments.

There will be approximately two Projects assigned throughout the quarter. These will provide opportunities to use technology to explore applications in more depth than the homework problems. There will be an emphasis on clear mathematical thinking and writing of the solutions.

There are two Mastery Exams in the course. These provide opportunities to display your mastery of skills in calculus. The first is the Differentiation Skills Mastery Exam, and must be completed by Monday, April 3, 11:30 AM. You must print out an exam, do it yourself from memory, then bring it to me. We will then discuss the exam together. The only possible scores on the exam are 100%, which corresponds to mastery, and 0%. The exam may be repeated as many times as necessary until the deadline but no late exams will be considered. The second mastery exam will follow the same format as the Differentiation Skills Mastery Exam, and will be due in Week 10.

There will be two In-class Exams during the quarter and a Comprehensive Final Exam. The in-class exams will be around weeks 4 and 8. The exams are meant to indicate how well you can apply what you have learned. They will not be generic homework questions or mastery exam questions, but will be similar to a set of review questions that will be distributed a few days before the exam. The emphasis will be on clear mathematical thinking and writing.

Collaboration and the Honor System:

This course operates in accordance with the principles of the Kalamazoo College Honor System: responsibility for personal behavior, independent thought, respect for others, and environmental responsibility. In particular, academic integrity is a fundamental principle of scholarship. Representing someone else's work as your own, in any form, constitutes academic dishonesty. Unauthorized collaboration and receiving help from others outside the bounds permitted by the instructor are also violations of the College honor code. You are responsible for working within the permitted bounds, and acknowledging any help from others or contributions from other sources.

Any student with a disability who needs an accommodation or other assistance in this course should make an appointment to speak with me as soon as possible.