Introduction to the mathematical approach

Teacher(s)

Caprace Pierre-Emmanuel; Van Schaftingen Jean;

Language

French

Content

Teaching methods

Evaluation methods

In this course, students are evaluated in a continuous manner :

1. attendance and participation to the course sessions (group work, homeworks following the instructions received, and witnessing substantial work), for one fourth of the final grade,
2. homeworks: evaluation by the teachers of the quality of writing and reasoning, for one half of the final grade,
3. individual oral presentation of a portfolio based on the work during the quadrimester, for one fourth of the final grade.

The grade of the first exam session (in January) relies only on the parts 1. and  2. and will be taken into account for 50% of those parts in the final grade of the course, provided this is beneficial to the student.
The grade of the second exam session (in June) relies on the parts 1. 2. and 3. according to the ratios described above. That grade is final, and  fixed for all subsequent exam sessions of the academic year. The attendance in class is required. The teachers can, by virtue of the article 72 of the General Regulations of studies and exams, propose to the board of examiners to reject the registration of a student to an exam session if he/she has not attended 80% of the course sessions.

Online resources

Course material and exercise sheets available on Moodle.

Bibliography

Daniel J. Velleman, How to Prove It: A Structured Approach, Cambridge University Press, 2019.
Kevin Houston, How to Think Like a Mathematician: A Companion to Undergraduate Mathematics, Cambridge University Press, 2009.

Teaching materials

• Support de cours et énoncés d'exercices sur Moodle.

Faculty or entity

MATH