# Summer Mini-Courses

**This summer (2014) will feature two mini-courses:**

*Introduction to Hodge Theory*, June 5 through June 30, taught by Jie Wang*Mathematical Models of the Environment*, July 7- Tuesday July 29, taught by Caner Kazanci

**Course Descriptions:**

- Mathematical methods for modeling the environment
- Graph Theoretical Models
- Differential Equation Models
- Stochastic Models
- Ecological Network Analysis
- Network Environ Analysis
- Formulation and properties of environmental health indicators
- Centrality indices and keystone species

Outcome: Gain a decent understanding of how ecological and environmental systems are modeled and analyzed using interesting mathematics. Prerequisites: Basic linear algebra and differential equations knowledge is required. Although we'll discuss some graph theoretical issues, no advanced knowledge is necessary. Field trip: I'll arrange a van for a 2-hour field trip to Lake Herrick for an exercise on the mathematical modeling of terrestrial and aquatic systems. Dr. Whipple or Dr. Patten from Ecology will be joining us. Text book: No text book is required. I will bring notes in class from two books: "A first course in Stochastic processes" by Karlin & Taylor, and "Handbook of Stochastic Methods" by Gardiner. I will use powerpoint style slide shows for some lectures.