MAT 322: Analysis in Several Dimensions
Spring 2015

## Welcome to MAT 322

This is a mathematically rigorous course with complete proofs. Topics covered will include:
• topology of $\mathbb{R}^{n}$
• derivatives
• the inverse function theorem
• the Riemann integral
• the change of variables theorem for multiple integrals
• manifolds and differential forms in $\mathbb{R}^{n}$
• Stokes's theorem and applications
• and other topics if time permits.