Topic 1 Introduction to optimization
Topic 2 Mathematical background review
Topic 3 Convex Set and convex function
Topic 4 Convex optimization problems
Topic 5 Duality
Topic 6 Unconstrained minimization
Topic 7 Equality-constrained minimization
Topic 8 Interior-point methods
L. N. Trefethen and D. Bau, Linear Algebra Background, SIAM, 1997.
S. Boyd and L. Vandenberghe, Convex Optimization, Cambridge University Press, 2004.