University of Arizona

Math 407, Synthesis of Mathematical Concepts, Fall 2007

William McCallum, MW 2:00—3:15 p.m., Math East 143

This course is about high school mathematics—algebra, functions, geometry, probability, and statistics—viewed from an advanced perspective. We will see how concepts that arise early in the study of mathematics evolve at higher levels, and how simple mathematics problems can lead to sophisticated insights. We will learn to make connections between different areas of mathematics by identifying underlying structures and principles.


Course Information


Assignments

There will be periodic assignments. You may discuss them with me in office hours and on the course listserv. However, your work must be your own. They should be legible, with pages stapled and your name at the top of each page. I will not accept late assignments. It is your responsibility to remember to hand in your work. The first assignment is due Friday, September 5.


Participation in the class listserv

A portion of your final grade will be determined by your participation in email discussions on the course listserv. Your grade will be determined not so much by the correctness of your postings as by your willingness to respond to questions and participate in discussions about the mathematics.


Exams

There will be two exams, a one-hour midterm exam in class on October 10 and a two-hour final exam on Friday, December 7.


Grade

You can earn up to 600 points: 250 points from assignments, 50 from participation in the course listserv, 100 from the midterm exam, and 200 from the final exam. Your grade will depend on your score out of 600: 90% or higher for an A, 80% for a B, 70% for a C, 60% for a D. A score below 60% will give you an E.


Policies

Read them.


Syllabus


Algebra (4 weeks)


Functions (3 weeks)


Geometry (3 weeks)


Linear Algebra (3 weeks)


Probability and Statistics (3 weeks)


What was on the smart board

William McCallum

Course listserv

math407@listserv.arizona.edu

Office hours

Room 839, Gould-Simpson Building

Monday 10–11, Tuesday 11–12, Wednesday 9–10

, or by appointment.

Phone and email