Analysis 1 - 2013/14 - Durham
Handouts
- Series convergence tests summary and strategy
- epsilon-delta proofs
- See also examples of how to directly find delta (external link) in simple epsilon-delta proofs
Extra Problems
Some extra, or interesting, or challenging questions:
- Definitely have a look at the Questions in "ε-N Proofs of Limit Computations" - there is a similar question on last year's collection exam.
- Also look at Questions 1 and 2 in "Limit Theorems" - Q1i) has appeared in past exams, as has Q2i).
- There are several questions on the using the integral test in "Infintie Series Convergence", since it doesn't appear much on the main problem sheet.
Last updated March 2014:
- Added some questions on the second term material.
- Added some more questions on "Limit Theorems", added questions on "Completeness", "Infinite Series Theorems" and "Power Series".
- Rephrased question 5 on "Infinite Series Convergence Tests".