MAT 115: Fall 2002

SYLLABUS

INSTRUCTOR: Andy Long. Office: ST 328; phone: 572-5794; email: longa@nku.edu

MEETING TIME: 11:00-12:00 MWF, HR 107.

EXPECTED BACKGROUND: A math ACT score of 23 or better, an an open and curious mind, and the willingness to put aside any preconceived prejudices or dislikes for mathematics.

TEXT: The Heart of Mathematics, Burger and Starbird, Key College Publishing, 2000. The text comes with a CD including many interesting simulations, games, etc., and a small "toolbox" of manipulatives (3-d glasses, for example) to carry out experiments described in the text.

COURSE DESCRIPTION: In this course we will consider some of the greatest ideas of humankind, ideas comparable in scale and beauty to the works of Shakespeare, Plato, and Michelangelo. These ideas fall within the domain of mathematics. Mathematics is as much an artistic endeavor as it is a scientific one, and, as such, it requires both imagination and creativity. There are three basic goals for this course:

  1. To reach a better understanding of several rich mathematical ideas.
  2. To develop sharper skills for analyzing life issues that transcend mathematics.
  3. To change the way you view the world!
Although you will be challenged, the hope behind this course is that you will gain an appreciation for mathematics, and discover the power of mathematical thinking in your everyday life.

GRADING: There will be two tests over the course of the term (a mid-term and a final). The final will be comprehensive.

There will be one group project. Occasional homework assignments will also be collected. Your course grade will be determined as follows:
Homework: 25%
Project: 20%
Midterm: 25%
Final: 30%
The tests will be given in class, closed book. Make-up exams will be given only under extreme circumstances.

RESEARCH PROJECT/POSTER SESSION: The best way to understand mathematics is to learn and discover it on one's own. You will select a mathematical topic outside of (or beyond) those covered in our class, read and teach yourselves any necessary background to understand it, and then investigate the topic. You are strongly encouraged to work together in groups of two or three on this project. By working together, you can learn from each other and share the experience.
Each group will write a final paper on their findings and present a poster display during a class poster session at the end of the semester. Also, each student will write a short individual statement regarding the experience. Various interim reports will be collected throughout the term. Students are invited and encouraged to discuss all phases of the project with me.

HOMEWORK: Homework will be assigned regularly, and some assignments will be handed in for grading. In particular, each student should do the assigned reading before the class in which it is discussed. Much of our time in class will be spent in conversation: this is a bottom-up course, not a top-down one!

ATTENDANCE: The student is responsible for all material assigned or discussed in class. Attendance will be taken, and may be used along with class effort (as measured by participation - asking questions, answering other students' questions, group work, etc.) to resolve borderline grades.

WITHDRAWAL: The last day to withdraw from any class with a grade of "W" is 10/25/2002. After that day it is not usually permitted.

OFFICE HOURS: MW 10:00-11:00, 12:00-4:00, 7:00-7:45; F 9:00-11:00. I am also available by appointment, and at random when approached with a smile.

Notes:

Tentative Schedule

Monday Wednesday Friday
8/19:
Introductions, and overview of course content. Special assignment due Wednesday: Read the chapter "Welcome" (pages ix-xii) and Section 1.1; start #1, 3, 4, 5, 7, 8 from Section 1.1. You may read Section 1.2 (hints), but do not read 1.3 (solutions)!
8/21:
Discuss 1.1 and problems. Do you have any additional hints for your colleagues?
Assignment: Finish 1.1 #1, 3, 4, 5, 7, 8; also do #2, 6.
8/23:
Finish discussing section 1.1.
Assignment: Read section 1.4 and do #5, 7, 9, 14 for discussion.
8/26:
Discuss 1.4.
Assignment: Read section 2.1 for discussion, and consider Mindscapes I.3, 10.
8/28:
Discuss 2.1.
Assignment: Section 2.1, II.4, 5.
8/30:
Finish discussing 2.1, carrying out IV.1.
Assignment: Read section 2.2 for discussion. Do I.1, 2, 10.
9/02:
Labor Day!
9/04:
Discuss 2.2.
Assignment: Section 2.2 do II.4, 5.
9/06:
Continue to discuss 2.2.
Assignment: Section 2.2 do I.17, 19; III.1, 2.
9/09:
Play Fibonacci nim!
Assignment: Read section 2.3, do I.2, 7, 9, 10, 19; II.7.
9/11:
Discuss 2.3.
Assignment: In 2.3, II.10.
9/13:
Continue to discuss 2.3.
Assignment: Read section 2.6 and do I.1, 5; II.5;
9/16:
Discuss 2.6.
Assignment: Section 2.6, III.5;
9/18:
Continue to discuss 2.6.
Assignment: Read section 2.7 and do I.2, 5, 15, 18, 20.
9/20:
Discuss 2.7.
Assignment: Read section 3.1, and do II.1.
9/23:
Discuss 3.1.
Assignment: Read section 3.2, and do I.9, 11, 12, 13.
9/25:
Discuss 3.2.
Assignment: Section 3.2, II 7; III.1.
9/27:
Continue to discuss 3.2.
Assignment: Read section 3.3 and do I. 4, 6, 8, 9; II.1, 2, 4.
9/30:
Discuss 3.3.
Assignment: Read section 3.4 and do I.1, 8.
10/02:
Discuss 3.4;
Assignment: Read and study section 3.5 and do I.1, 4, 5; II.5.
10/04:
Discuss Section 3.5.
10/07:
Review for Midterm
10/09:
Midterm
10/11:
Project work day.
Assignment: Read and study section 4.1 and do I.3, 7, 10.
10/14:
Fall Break!
10/16:
Discuss 4.1.
Assignment: Read section 4.3 and do I.4, 7; II.1, 2, 5.
10/18:
Discuss 4.3.
Assignment: Read and study section 4.5 and do I.1, 2, 3; II.1, 2.
10/21:
Discuss 4.5.
10/23:
Continue to discuss 4.5.
Assignment: Read section 4.7 and do I.2, 7, 9; II.1, 3.
10/25:
Discuss 4.7.
10/28:
Ivars Peterson visit / Poster Session Prep Day
10/30:
Continue to discuss 4.7.
Assignment: Read section 5.1 and do I.1, 4, 5, 6, 7.
11/01:
Discuss 5.1.
Assignment: Read section 5.2 and do I.1, 3, 4, 13, 20; II.8.
11/04:
Discuss 5.2.
11/06:
Continue to discuss 5.2.
Assignment: Read section 5.3 and do I.2, 4, 8; II.1; III.5.
11/08:
Discuss 5.3.
Assignment: Read sections 6.1 and 6.2 and do in 6.2 I.3, 7, 8; II.2, 3.
11/11:
Discuss 6.2.
Assignment: Read section 6.3 and do I.1, 8, 9, 15, 16.
11/13:
Discuss 6.3.
Assignment: In 6.3 I.18, 19, 20; II.1, 2; III.5.
11/15:
Continue to discuss 6.3.
Assignment: Read sections 7.1 and 7.2 and do in 7.2 I.2, 3, 4, 7.
11/18:
Perform experiments from 7.1. Discuss 7.2.
Assignment: In 7.2 do I.13, 14, 15; II.3, 5.
11/20:
Continue to discuss 7.2.
Assignment: Read section 7.6 and do I.16, 17; II.2, 5, 10; III.1.
11/22:
Discuss section 7.6.
11/25:
Continue to discuss 7.6.
11/27:
Thanksgiving break!
11/29:
Thanksgiving break!
12/02:
Prepare for poster session.
12/04:
Poster Session Day
12/06:
Final thoughts; Review for final; Evaluations
12/09:
Final Exam (10:10am-12:10pm)
   

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