Beginners are supposed to be familiar with fundamentals of Commutative Algebra,
Topology and Differential Geometry. For instance, all this can be found in the
following sources:

M. F. Atiyah, I. G. MacDonald, - Introduction to Commutative Algebra, - Westview
Press, 1969.

Chapter 1: Rings and Ideals;

Chapter 2: Modules.

It is strongly suggested to solve exercises to these two chapters.

First chapters of this book will introduce you to the spirit of the school. People
who have read this book
and solved 70% of the exercises will be able follow the veteran courses.