MATH 113 is a continuation of Calculus I - Differential Calculus (MATH 112), and provides students an opportunity to further develop and refine their mathematical skills. In particular, the emphasis of this course is on integral calculus and an introduction to sequences and series.
| Instructor: |
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| Required Text: | Stewart, Calculus Concepts and Contexts, 2nd edition, Brooks/Cole, 2001. |
| Class Web Site: | http://max.cs.kzoo.edu/math113/ |
| Goals: | At the conclusion of this course, students should have developed a mastery of the traditional computational techniques of integral calculus, and should have some knowledge of sequences and series. Students should also be stronger problem solvers and feel more comfortable reading and writing mathematics. |
| Prerequisites: | MATH 112 (Calculus I). |
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 |
| 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.
Homework: You should feel free to work with others on the homework questions. As you work with others, keep in mind that the goal is not just getting a solution to the problem, but learning how to solve the problem yourself. Working together does not include copying solutions from someone. You must include a statement at the top of each assignment documenting who you worked with and any help you received.
Projects: You may choose to work individually, or in pairs. If you chose to work with a partner, you may work on the computations and mathematics together, but you must write up the solution individually. You must include the name of your partner in your write-up. You may not have the same partner more than once for projects. I may also ask students to individually evaluate how much/what work was done by each partner in the project.
Exams should be entirely your own work.
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.