Week Program, Semester Week 5

Polynomials and Recursion

This week our study of polynomials continues. The division algorithm for polynomials will be covered and used among other things for determination of the multiplicity of a root in a polynomial. Another topic that will be touched upon is recursion. This is a compact way of defining functions by using the function itself. Summation notation and dot notation will be introduced from this point of view.

Key Terms

The division algorithm. Roots of a polynomial vs. factor of a polynomial. Multiplicity of roots in a polynomial. Recursive definitions. Dot notation and summation notation.

Preparation and Syllabus

This week covers sections 4.5 and 4.6 from [04 - Polynomials] as well as sections 5.1 through 5.3 from [05 - Recursion and induction].

Opgaver

Exercises for Long Day.

Exercises for Short Day.