Course 2025-2026 a.y.

• Single-variable calculus
• Riemann integration
• Discrete mathematics

• Explain the theoretical foundations of mathematics: axioms, definitions, theorems, and proofs.
• Explain in detail - through definitions, theorems and proofs - selected topics in calculus and discrete mathematics.
• Illustrate the structure of mathematical reasoning through the description of the steps in a proof.

• Use selected computational techniques (derivatives, integrals, truth tables, etc.)
• Formulate definitions, theorems and proofs as presented in the course.
• Use the theorems, definitions and techniques learnt in class to analyze the correctness of new statements.
• Perform corresponding calculations and solve problems posed in the form of exercises.

• Lectures
• Practical Exercises
• Individual works / Assignments

• Lectures held in presence aimed at explaining the theoretical and methodological parts of the course.
• The course material includes a collection of exercises, some of them taken from past exam papers, that help students improve their performance.

• Students can take the exam in two ways:

   

  - through assignments and a short final exam taken only in the first two exam sessions. The final grade will come from the assignments grade (12 points out of 30) and the short final exam grade (19 points out of 30).

  - through a general exam covering the entire program, worth 100% of the final grade.

   

• Assignments and general exams consist of open-ended questions. All types of questions contribute to the assessment of the student's acquired knowledge. Questions are aimed at verifying the knowledge of specific facts and properties about mathematical objects in order to assess the student's ability to correctly apply theorems and other mathematical statements in solving problems.

The grade distribution will be coherent with University Guidelines.

• Lecture notes and slides prepared by the teachers, homework assignments and exercises, available online.