1. Multivariable calculus; 2. Vectors and tensors in Cartesian coordinates; 3. First-order ordinary differential equations; 4. Linear ordinary differential equations; 5. Approximation methods; 6. Linear analysis; 7. Linear algebra; 8. Linear integral equations; 9. Dynamical systems.
Joseph Powers joined the University of Notre Dame in 1989. His research has focused on the dynamics of high-speed reactive fluids and on computational science, especially as it applies to verification and validation of complex multi-scale systems. He has held positions at the NASA Lewis Research Center, the Los Alamos National Laboratory, the Air Force Research Laboratory, the Argonne National Laboratory, and the Chinese Academy of Sciences. He is a member of AIAA, APS, ASME, the Combustion Institute, and SIAM. He is the recipient of numerous teaching awards. Mihir Sen has been active in teaching and in research in thermal-fluids engineering - especially in regard to problems relating to modeling, dynamics, and stability - since obtaining his PhD from Massachusetts Institute of Technology. He has worked on reacting flows, natural and forced convection, flow in porous media, falling films, boiling, MEMS, heat exchangers, thermal control, and intelligent systems. He joined the University of Notre Dame in 1986 and received the Kaneb Teaching Award from the College of Engineering in 2001 and the Rev. Joyce University Award for Excellence in Undergraduate Teaching in 2009. He is a Fellow of ASME.