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".

Solutions

• Brief solutions to January 2013 Collection exam
• Week 5 Tutorial Solutions