Lectures: (T R) 04:15P - 05:30P, 103 Osmond Building.
Instructor: Chun Liu , 309 McAllister Bldg, 865-3611, firstname.lastname@example.org.Luen-Chau Li, 319 McAllister Bldg, 865-3563, email@example.com.
Office hours: TR 2:30p --- 3:30p or by appointment.
Text: Notes from the class.
more to be given later in the class.
Approximate Course Content:1. Introduction (1.5 week) 2. Calculus (2.5 weeks): topological spaces, homeomorphism, linear spaces, linear maps, normed linear spaces, differential manifolds, tangent bundle and tangent maps, vector fields, dynamical system (flows). 3. differential forms (2 weeks) 4. curves and surfaces (2 weeks) 5. Riemannian manifold (1.5 weeks) 6. Lie groups and Lie algebra (2 weeks) 7. Lagrangian and Hamiltonian mechanics (1 week) 8. Newtonian fluids (2 weeks): Euler equations, viscosity, changing density, Lagrangian average. 9. Visco-elastic fluids (1 week) 10. Liquid crystals (1 week) 11. Polymeric materials (1.5 weeks): Dumbbell model, etc
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