Math 395/396 topics

Igor Kriz

Regular topics:

• Metric spaces (compact sets, etc.)
• Linear algebra (determinants, orthogonality, linear geometry)
• Differential equations
• Multivariable calculus (implicit function theorem, extrema with constraints)
• Multivariable integrals
• measure and Lebesgue integral
• curve integrals and Green's theorem
• surface integrals and Stokes' theorem

Challenge topics:

• Introduction to complex analysis
• Calculus of variations
• Hilbert spaces