Math 104: Introduction to Analysis
Section 1, Fall 2015
This course is intended as an introduction to real analysis. Real analysis
is the study of functions on the real numbers. Topics covered
include the real number system, sequences and limits, continuous functions,
differentiation and integration, mean value theorem, power series, and
metric spaces. Some of the topics will look
familiar from your high school and/or college calculus classes, but we
will seek to rigorously develop ideas and prove many of the statements that
you took for granted during calculus.
The course has a reputation for being challenging -- you will regularly
be asked to develop ideas on your own and come up with your own methods
to solve problems, and then write those ideas down as rigorous proofs. This
is an essential skill to learn for upper division courses, especially
if you wish to continue in mathematics in the future. At the beginning of
the course, we will make an effort to write down the details of all proofs
so that you can get an idea of what is expected. However, as the semester
progresses, some details will be left for you to fill in on your own. This
is necessitated by time constraints, but it will also help you practice
the skills needed to succeed in future mathematics courses.
This course meets MWF 9-10am in 20 Wheeler.
The final exam solutions are available.
Midterm 2 was in class on October 30. The
solutions have been posted.
Midterm 1 occurred in class on September 21. The
solutions are available.
The website for the Fall 2013 version of this
course is available.