## Math 484 :: Syllabus :: Winter 2018

This is the syllabus for History of Mathematical Thought Math 484. Here you'll find information on prerequisites, grading policy, homework, study resources and a tentative course schedule.

### Classroom

Class will be held, unless otherwise noted, at the following days & times.

__Your daily attendance is required__. You are expected to come to class daily, to be fully awake, to pay attention to and participate in the class discussion. I will do my part to make class something you look forward to rather than dread.

### Prerequisites

You need either:

### Course Webpage

### Textbooks

We will read the book *Journey through Genius*, roughly one chapter per week. The Burton text will used as a starting point for papers and projects.

**by William Dunham (required, find at Snowbound Books)**

__Journey through Genius__**by David M. Burton (suggested, find at the University Bookstore)**

__The History of Mathematics__### Office Hours

I am often in my office **JXJ 2226**, just stop by or call and see if I am available, or email me to make an oppointment. My official office hours are :

### Grading

### Assignments

There will be weekly problem sets. In many of the problems you will be writing proofs. As in any higher-level mathematics class, your proofs should be written in complete sentences. The goal of the proof should be to explain not to verify. Pictures and diagrams are encouraged. A selection of problems will be graded.

Some assignments may require that you write biographical sketches or construct timelines.

You are welcome to work with your classmates on your assignments but your final writeup must be your own. You are encouraged to ask me questions about the problem sets.

### Exams

The exams will be in class during our usual time. The exams will be closed book, closed notes, closed friends and open-brained.

### Final Project

In lieu of a final exam, you will complete a final project. Here are details of the project.

- Part I: 6-10 page paper
- Part II: 10-15 minute presentation on your topic (poster or slideshow is recommended)
- You can work alone or in pairs.
- You may talk to anyone about the paper but the writing must be your own.
- The writing center may be helpful.
- Deadline to submit topic: March 19
- Deadline to submit annotated bibliography: April 1

(A list of sources (at least two), with descriptions of why you're using them) - Deadline to submit final paper: May 1
- The final paper will be worth 100 points. Grading will be based as follows:
- 10 points : Submitted paper topic on time
- 15 points : Submitted annotated bibliogrphy on time
- 25 points: Paper exposition
- 50 points: Paper content

### Laptops & Phones

Do not use your laptop, phone or electronic media device in class unless instructed to do so.

### Other Resources

- Math History People
- Bill Cherowitzo
- David Joyce

- Writing Tips
- Thompson's Writing Tips
- The (almost) Perfect Paper Checklist
- Describe the development of various areas of mathematics within and across various civilizations
- Describe the changing character of mathematics over time
- Give examples of significant theorems and applications of mathematics
- Solve some famous mathematical problems
- Week 1 :: Hippocrates' Quadrature of the Lune (440 BC) :: Chapter 1
- Week 2 :: Euclid's Proof of the Pythagorean Theorem (300 BC) :: Chapter 2
- Week 3 :: Euclid & the Infinitude of Primes (300 BC) :: Chapter 3
- Week 4 :: Archimdes' Determination of Circular Area (225 BC) :: Chapter 4
- Week 5 :: Heron's Formula for Triangular Area (AD 75) :: Chapter 5
- Week 6 :: Cardano & the Solution of the Cubic (1545) :: Chapter 6
- Week 7 :: A Gem from Isaac Newton (Late 1660s):: Chapter 7
- Week 8 :: Bernoullis & the Harmonic Series (1689) :: Chapter 8
- Week 9 :: The Extraordinary Sums of Leonhard Euler (1734) :: Chapter 9
- Week 10 :: A Sampler of Euler's Number Theory (1736) :: Chapter 10
- Week 11 :: The Non-Denumerability of the Continuum (1874) :: Chapter 11
- Week 12 :: Cantor and the Transfinite Realm :: Chapter 12
- Weeks 13 & 14 :: Review & Student Presentations

### Learning Outcomes

Upon successful completion of this course students will be able to:

*Evaluation of these learning outcomes will be done through a mix of assignments, class exercises, projects, research papers, group work, written & oral quizzes and exams.*

### Course Description

We will cover the first 7 chapters of the textbook, and various parts of chapters 8-14.

### Natural Sciences Requirement

This course satisfies the Foundation of Natural Sciences/Mathematics requirement. Students who complete this course should be able to demonstrate a basic understanding of mathematical logic; use mathematics to solve scientific or mathematical problems in college classes; express relationships in the symbolic language of mathematics; and appreciate the role of mathematics in analyzing natural phenomena.

### University Policies

**Academic Honesty**: Cheating is not only unethical and pathetic, but is a violation of the Northern Michigan University Student Code and University Policy and grounds for your dismissal from the University.

**Discrimination & Harassment**: Northern Michigan University does not unlawfully discriminate on the basis of race, color, religion, national origin, gender, age, height, weight, martial status, handicap/disability, sexual orientation or veteran status. If you have a civil rights inquiry, contact the Affirmative Action Office at 906-227-2420.

**Americans with Disabilities Act Statement**: The University seeks to provide equal access to its programs, services and activities for people with disabilities. If you have a need for disability-related accommodations or services, please inform the Coordinator of Disability Services in the Dean of Students Office at 2001 C. B. Hedgcock Building (227-1700). at 906-227-1700 as soon as possible. Reasonable and effective accommodations and services will be provided to students if requests are made in a timely manner, with appropriate documentation, in accordance with federal, state, and University guidelines.

**The Registrar**: Withdrawing from any course or any matters relating to registration are the responsibility of the student. For more information regarding this topic, check out the Registrars Website.