A rigorous introduction designed for mathematicians into perturbative quantum field theory, using the language of functional integrals. Basics of classical field theory. Free quantum theories. Feynman diagrams. Renormalization theory. Local operators. Operator product expansion. Renormalization group equation. The goal is to discuss, using mathematical language, a number of basic notions and results of QFT that are necessary to understand talks and papers in QFT and string theory.

In this lesson students will be learning about 3-D shapes. They watch a video about 3-D shape and how to describe those shapes by identifying the number of faces those shapes have. Students will then either find examples of 3-D shapes in the classroom and photograph them or they will create 3-D shapes using toothpicks and playdough.Image Citation: Picture taken by Amanda Lawing

In this lesson students will be learning about 3-D shapes. They watch a video about 3-D shape and how to describe those shapes by identifying the number of faces those shapes have. Students will then find examples of 3-D shapes in the classroom and photograph them. They will then create a book using the Pages app on the iPad to show what they have learned about 3-D shapes in their environment.Image Citation: Picture taken by Amanda Lawing