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@ -5,8 +5,8 @@ The following list is meant to provide a starting point for the type of question
## Topology and Measure Theory
Here are 20 relevant exam questions in the topology and measure theory part of the course:
1. What distinguishes the real numbers from the rational ones? [[ACIT4330/Revision/Real Analysis/Question 1|Answer]]
2. What is an equivalence relation? [[ACIT4330/Revision/Real Analysis/Question 2|Answer]]
1. What distinguishes the real numbers from the rational ones? [[Revision/Real Analysis/Question 1|Answer]]
2. What is an equivalence relation? [[Revision/Real Analysis/Question 2|Answer]]
3. What is a topological space? Examples? [[Question 3|Answer]]
4. What is the ball topology on a metric space? [[Question 4|Answer]]
5. What is the topology on a Banach space? [[Question 5|Answer]] - TODO
@ -27,12 +27,12 @@ Here are 20 relevant exam questions in the topology and measure theory part of t
19. What is a complex measure?
20. State the Lebesgue-Radon-Nikodym theorem.
## Complex Analysis
- Similarities and differences between $\mathbb{C}$ and $\mathbb{R}^2$. [[ACIT4330/Revision/Complex Analysis/Question 1|Answer]]
- Holomorphic functions and their properties. [[ACIT4330/Revision/Complex Analysis/Question 2|Answer]]
- Similarities and differences between $\mathbb{C}$ and $\mathbb{R}^2$. [[Revision/Complex Analysis/Question 1|Answer]]
- Holomorphic functions and their properties. [[Revision/Complex Analysis/Question 2|Answer]]
- Complex exponential and logarithm.
- Integration in the complex plane.
- Cauchy's theorem and integral formula.
- Taylor and Laurent series.
- Singularities and their classification.
- Residues and the residue theorem.
- Applications to the computation of integrals.
- Applications to the computation of integrals.