**Mathematics 35, Winter 2019**

**Professor:**** ****Vladimir Chernov**

**ORC Course Description: **This course
introduces the basic concepts of real-variable theory. Topics include real
numbers and cardinality of sets, sequences and series of real numbers, metric
spaces, continuous functions, integration theory, sequences and series of
functions, and polynomial approximation. Some applications of the theory may be
presented. Mathematics 63 presents similar material, but from a more
sophisticated point of view. *This
course may not serve as an adequate prerequisite for either Mathematics 73 or
83. Students who contemplate taking one of these two advanced courses should
consider taking Mathematics 63 instead of this course.*

Prerequisite: Mathematics 13 and permission of the
instructor, or Mathematics 22. *Dist:
QDS.*