Program, Semester Week 2

Sets and Functions

This week dives into set theory and general proporties of functions. Among other things we will study the inverse functions. A particularly interesting type of inverse function is the inserves of the trigonometric functions, which we will introduce - these are called the arcus functions.

Remark

The lectures in weeks 1 and 2 will be taught by guest lecturer Jens K. Gravesen, associate professor at DTU Compute.

Key Terms

Sets and set relations. Set union \(\cup\). Set intersection \(\cap\). Set difference \(\setminus\). Open and closed interval. Functions and functional expressions. Domain. Co-domain. Image set. Composite function \(\circ\). Inverse function. The arcus functions.

Preparation and Syllabus

This week will cover Chapter [02 - Sets and functions].

Exercises

Exercises for Long Day.

Exercises for Short Day.