MAT 5335 -- The Heart of Mathematics -- Summer 2014
This syllabus is tentative and should not be considered definitive. The instructor reserves the right to modify it to meet the needs of the class. It is the student responsibility to attend class regularly and to make note of any changes. Be sure you check the class website for sections covered on the exams, homework problems and announcements.
Catalog Description
Credit Hours: 3; We will discuss mathematical concepts in the manner of a "great ideas" course. However, the ideas we will explore fall within the realm of mathematics. One of the main goals is to learn how to solve problems using both mathematical techniques and mathematical ways of thinking. In the process we will see that learning and doing mathematics requires both imagination and creativity.
Prerequisites
Admission to the graduate program in Mathematics or Mathematics Education.
Textbook
Course Objectives
Course Grade
Your course grade will be determined using the following distributions:
| Exam 1 | 100 |
| Exam 2 | 100 |
| Homework/Quizzes | 100 |
| Project | 100 |
| Total possible points | 400 |
|---|
You are guaranteed a grade of:
| A | if you earn at least 360 points (90%) |
| B | if you earn at least 320 points (80%) |
| C | if you earn at least 280 points (70%) |
| D | if you earn at least 240 points (60%) |
| F | otherwise |
Exam Information
There will be two exams. The dates and sections covered will be posted here as well as D2L. No calculators allowed unless otherwise stated. Your instructor will grant make-up exams to students for properly verified absences due to illness, emergency, participation in an official University activity, or participation in volunteer emergency work.
Homework and Quizzes
There will be homework consisting problems from the book as well as in-class work. The due dates, problems and scores will be posted on D2L. There may be announced and unannounced quizzes and in-class work which will count towards homework points. Since these are part of your homework score, they cannot be made up. No late homework will be accepted. Instead, the lowest homework score will be dropped. Before attempting the homework problems, you are expected to read the sections carefully. You are strongly encouraged to discuss homework problems with your instructor and to work with your fellow classmates. However, you are expected to write up your own solutions.
Click here for procedures on how to write up your textbook hand graded homework problems.
Click here for the Khan Academy.
Click here for the textbook companion website.
Click here for the Generalized Monty Hall Problem.
Click here for the National Library of Virtual Manipulatives.
Click here for 2.5 slides.
Click here for Chinese Remainder Theorem, from Introduction to Cryptography by Trappe and Washington.
| Section | Problems | Due Dates |
| 6.2 | 11, 12, 17, 20, 22, 24, 27 |
not due, sols posted later |
| 6.1 | 9, 10, 12, 13, 26, 28 |
not due, sols posted later |
| 5.2 | 8, 10, 25, 28, 29, 32, 40 |
not due, sols posted later |
| 5.1 | 7, 12, 15, 27, 28, 29, 39 | Tue 15 July |
| 4.7 | 5, 8, 9, 16, 18, 19, 21 | Tue 15 July |
| 4.5 | 7, 11, 14, 21, 27 not due: 4, 17, 19 sols posted on D2L |
Thur 10 July |
| 4.3 | 9, 11, 17, 20, 21, 22 | Thur 10 July |
| 4.1 | 5, 12, 13, 18, 21, 22 | Tue 8 July |
| 3.4 | 6, 8, 11, 18, 19, 21 | not due, see D2L for sols |
| 3.3 | 4, 9, 13, 16, 21, 22 | not due, see D2L for sols |
| 3.2 | 6, 12, 24, 27, 29, 36 | Mon 30 Jun |
| 3.1 | 3, 8, 19, 21 | Mon 30 Jun |
| 2.6 | 6, 11, 18, 31, 37, 40 | Fri 27 Jun |
| 2.5 | 3, 7, 10, 13, 19, 21 | Fri 27 Jun |
| 2.4 | 4, 5, 40, 45, 46, 48 | Wed 25 Jun |
| 2.3 | 7, 12, 14, 15, 32, 36 | Wed 25 Jun |
| 2.2 | 3, 6, 7, 10, 16, 27, 46 | Mon 23 Jun |
| 2.1 | 3, 6, 10, 14, 16, 24 | Fri 20 Jun |
| 1.4 | 4, 7, 8, 12 | Thurs 19 Jun |
Project
The last three days of classes will consist of project presentations, which should last between 25-35 minutes. You may work alone or in groups of two or three. Projects to choose from: 2.5, 2.7, 3.4, 3.5, 4.2, 4.4, 4.6, 5.3, 5.4, 6.3, 6.4. For details click here and rubric click here.
Attendance
In order to maximize student access to courses, to reduce empty classroom seats, and to ensure smooth financial aid processing, you may be administratively dropped if you have not attended class by the fifth day into the semester, and have not made successful contact with your instructor to explain your absence.
Students are expected to attend class meetings as scheduled. When an absence does occur, the student is responsible for the material covered during the absence. When possible, the student should notify the instructor in advance of an anticipated absence.
Course and Instructor Evaluations
During the last few weeks of the semester, you will be provided an opportunity to evaluate this course and your instructor. Your feedback is vital to improving education at Eastern Illinois University. I strongly urge you to participate in the evaluation system.
Accommodations for Students with Disabilities
Click here to view information regarding accommodations.
Academic Dishonesty
Eastern Illinois University faculty and students commit themselves towards maintaining a culture of academic integrity and honesty. Click here to view the Student Code of Conduct.