Math 317 -- Analysis I
Math 317 is a rigorous treatment of the foundations of single-variable calculus.
The basic definitions, theorems, and proofs of calculus are
studied in detail, and, in some cases, extended to a wide array
of more abstract settings.
The course also has a strong focus on learning how to write clear
and precise mathematical definitions and proofs. In many ways, it
is a writing class, with frequent assignments involving student
writing of proofs, and in-depth feedback on the mathematical content
and style of these proofs.
This course is required for the math major and the math minor,
as well as the math-econ concentration.
Prerequisites: Math 121 or Math 216,
or consent of the instructor.
Who should take this course?
Math majors or minors
Concentrators in mathematical economics
Students interested in the abstract or conceptual side of mathematics,
who want to see the true meaning of the ideas encountered in calculus.
Topics covered:
Axioms of the real numbers
Cardinality
Basic topology (open/closed,interior/closure/boundary)
Compactness, Completeness
Rigorous definitions of limits, derivatives, integrals, and major theorems of calculus
For detailed information about Math 317 this year, please consult the list of Fall Courses and Spring Courses linked to
the Mathematics and Statistics Home Page.