Program Overview

Calculus Course Description

The Calculus course consists of five chapters, revisiting basic facts about natural numbers, integers, and rational numbers, and then delving into the concept of real numbers and their properties. The course covers sequences and series of real numbers, the idea of convergence, real functions in one variable, continuity, differentiation, and integration.

Course Objectives

This course teaches the essentials of real analysis relevant to informatics, highlighting applications of theoretical concepts whenever possible. Upon completion, students will possess the mathematical skills required to solve basic problems in a formal and structured way and will have developed a good understanding of differential and integral calculus.

Teaching Methodology

The topics are presented in the form of lectures and tutorials, with weekly homework assignments that are partially graded and discussed.

Examination Method

The course grade is determined by the results of the homework assignments (10%), the written midterm exam (40%), and the written final exam (50%).

Required Bibliography

• Ross, Kenneth A. Elementary Analysis: Elementary Analysis. Springer New York, 2013.

Program Details

• The course is part of the Bachelor of Science in Informatics, taught in the first year.
• It is offered during the Autumn semester.
• The course carries 6.0 ECTS credits.
• The language of instruction is English.

Additional Information

• The course is held at the Universit‡ della Svizzera italiana.
• Campus locations include Lugano, Mendrisio, and Bellinzona.