One portion of your final exam consists of the
"Final Exercises". The other is the ...
In-class Final Exam: Friday at 8:00
This portion of the final will be a closed-book and closed-notes exam.
Your will be expected to deomonstrate that you know the following
concepts and theorems and the "big picture."
Definitions/concepts
- Continuity of a function
- at a point
- on a set
- uniform over a set
- Convergence and uniform convergence
of a sequence or series of functions
- Definite integral
- Cauchy integral
- Riemann integral
Major theorems
Sufficient conditions for...
- a series of functions to be continuous
- a series of functions to be differentiable term by term
- a series of functions to be integrable term by term
- convergence of Fourier (trigonometric) series
- uniform approximation by polynomials over an interval
The big picture
Be able to write knowledgeably about real analysis:
What is it about?
What problems or questions does it consider and answer?
What were some key elements of its historical development?
Etc.