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__Sign Up__- Illinois Tech Interview Questions
- It took about 46 minutes.
- [Functional Analysis]
- What is a Banach space?
- If ∫f_ndx converges to zero, then can we say that f_n converges to zero?
- What is the dominated convergence theorem?
- [Probability Theory]
- Describe convergence of random variables.
- What is convergence in distribution?
- Does convergence in distribution imply convergence in probability?
- Does almost sure convergence imply convergence in probability?
- [Linear Algebra]
- Define the rank of a matrix.
- Define the linear independence of vectors.
- Describe the Gaussian elimination.
- [ODE Theory]
- Solve y'=5y, y(0)=1.
- Solve y'=5y+x, y(0)=1.
- [Complex Analysis]
- Evaluate the integral of e^z on the unit circle.
- [Discrehe Mathematics]
- What is the maximal number of edges in the graph of n vertices?
- [Group Theory]
- {0,1,2,3,4} forms a group with addition x+y := x+y(mod 5).
- What is the inverse of 2?
- ---
- After those questions, I got time to ask questions to the professor.

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