Prof. Peter Taborek
Department of Physics & Astronomy, University of California, Irvine
Mathematica is a state-of-the-art computer algebra system. The course will provide a crash course in basic Mathematica syntax and then proceed to consider applications to physical science problems using advanced mathematics at the graduate level.
Students will receive hands-on practical training in using this complex but extremely powerful and versatile software tool. Some of the topics will include:
- Introduction: How to download Mathematica and get started
- Review of computational and geometric aspects of linear algebra
- Multilinear algebra and tensors
- Programming with symbolic patterns for computer algebra
- Review of vector calculus in non-Cartesian coordinate frames
- Nonlinear ordinary differential equations, including time delay and algebraic-differential systems
- Perturbation theory
- Asymptotic analysis
- Numerical and series solutions to PDEs
- Applications to fluid mechanics, elasticity, electricity and magnetism
Please attend first meeting and bring your laptop computer
