The course deals with the foundations of the Riemann theory of integration and of ordinary differential equations.

The student is expected to be able to compute the most common types of integrals and to solve the most common ordinary differential equations.

All the topics covered during the course 'Calculus I'.

-The Riemann integral
-Introduction to ordinary differential equations

Written exercises will be proposed on all the topics covered in the course.

R. Adams, Calculus: a complete course, 6th edition, Pearson, 2007.

There will be a written examination involving both exercises about the topics covered in the course and theoretical arguments. If necessary, an oral examination will follow. The students cannot use books, notes, tables, computers during the exam.