Linear algebra
Characteristic Polynomials and Minimal Polynomials
- Problem 3: January 2003 (done in class)
- What you need to know about characteristic Polynomials and Minimal Polynomials.
- Others related problems for practicing.
Inner Product Spaces-Gram-Schmidt Process
- Problem 5: September 1990 (done in class)
- Problem 3: September 2011 (done in class)
- About Inner product Spaces and Gram-Schimdt
- Practice on Gram-Schmidt Process
- Practice on Inner product spaces
-
Change of Basis
- Problem 3: September 1995 (done in class)
- Practice on change of Basis
Advanced calculus
Dirac Delta Type Integrals, Multivariable Change of Variables
- 1994 September: Problem 4 (done in class)
- Others related problems for practicing (Dirac Delta Type Integrals).
- Others related problems for practicing (Multivariable Change of Variables).
Dominated Convergence. Leibniz Integral Rule
- Advanced Calculus: 2005 September: Problem 5 (done in class)
- 1993 January: Problem 2 (done in class)
- Practice on Dominated Convergence
- Practice on Leibniz Integral Rule
-
Taylor's Theorem
- 1997 January: Problem 4 (done in class)
- Practice on Taylor's Theorem
Complex Variables
Contour Integration, Jordan's Lemma
- 1997 January: Problem 1 (done in class)
- 1999 September: Problem 1 (done in class)
- Others related problems for practicing. (Contour Integration)
- Others related problems for practicing. (Jordan's Lemma)
Argument Principle
- 2006 September: Problem 5 (done in class)
- Practice on Argument Principle
- Practice on Inner product spaces
-
Power series
- 2006 September: Problem 3 (done in class)
- Practice on Power series
-
Maximum Modulus Principle, Rouche's Theorem