Math 403/603 Foundations of Math

- Learning to understand written theoretical mathematics
- Learning how to discover and write mathematical proofs

- Mastering conventions for
mathematical oral and written
communication

- Learning foundational concepts used throughout
mathematics, including aspects of set theory, functions, and
equivalence relations

At the end of the course you should know the main definitions
and
the main
theorems we have covered, but more importantly, you should understand
why the
definitions and theorems are formulated in the way that they are, and
what they mean. You should also know the proofs for the main theorems,
as well as the kinds of reasoning that go into these proofs. A part of
the second objective is developing
the ability to understand and construct proofs. At the end of the
course
you should be able to analyze an unfamiliar proof, and either verify
that
the proof is valid, or find errors in it. You should also be able to
construct
your own proofs of new or unfamiliar results. In addition, you should
know
how to communicate your findings orally and verbally using accepted
conventions
and methods of the discipline of mathematics.

**Attendance**. Attendance in this
course is
expected, but not required or monitored; I will
not keep track of days you miss class. However, you **are**
responsible for anything presented in class, including announced
schedule changes, modifications to assignments, and material that
supplements what is in the text. Note also that the subjective
component of your grade will take into account regular participation in
class activities. Electing to skip these activities may lower your
subjective grade.

**Missed Exam Policy. **If you are
forced
to miss an
in-class exam for reasons beyond your control (such as an illness,
family emergency, etc.), a makeup may be arranged, **but ONLY if I am
informed in advance.** I will **NOT** approve requests to
reschedule an exam for reasons of convenience. For example, if you plan
to travel during a school break and leave early or return late, that is
not a valid reason to reschedule an exam. Similarly, avoidable
conflicts for recreational, entertainment, social, or work activities
are generally not valid reasons to miss an exam. The **exam dates** are listed on the
overview webpage. Be sure to plan other activities around them.