Math 318 -- Analysis II
Math 318 begins with a rigorous treatment of multivariable calculus,
and then goes on to apply the definitions of analysis to
infinite-dimensional function spaces
(including, e.g., several definition of the convergence of a sequence or series
of functions, or Fourier analysis)
As in Math 317, the course has a
strong focus on learning how to write clear
and precise mathematical definitions and proofs.
The math major requires either Math 318 or the second semester of algebra Math 334.
Students considering graduate work in a mathematical field are strongly urged
to take both courses. Math 318 is not required for the math minor or math-econ concentration, but can
be counted as an elective toward either program.
Prerequisites: Math 317
Who should take this course?
Math majors, math minors, or concentrators in mathematical economics,
especially those considering pursuing graduate work in any mathematical field
Students with strong interests in conceptual or theoretical material,
looking to reinforce their understanding of multivariable calculus
and see an introduction to infinite-dimensional spaces.
Topics covered:
Limits, derivatives, and integrals in n dimensions
Notions of convergence of sequences and series of functions
Other advanced topics depending on the instructor, including
possibly Fourier analysis and/or Lebesgue integration
For detailed information about Math 318 this year, please consult the list of Fall Courses and Spring Courses linked to
the Mathematics and Statistics Home Page.