# 20106 Infinitesimal Calculus I 1

**Credits**: 6 intermediate credits in Mathematics

**Prerequisites**: none

Recommended: Introduction to Mathematics

Structured along the lines of *A Programmed Course in Calculus*, by the Committee on Educational Media of the Mathematical Association of America (W.A. Benjamin, 1968), this course was developed by Daniela Leibowitz, Eli Levin, Naomi Shaked-Monderer and Shmuel Berger.

The course is compulsory for students majoring in Mathematics, in Computer Science and in all dual-disciplinary degrees that include Mathematics. It is also recommended for Physics students. It acquaints students with the basic concepts of calculus, emphasizing mathematical rigor.

Together with **Infinitesimal Calculus II** (20212), it corresponds to undergraduate calculus courses taken by Mathematics students in other Israeli universities. The topics covered here are also covered in **Differential and Integral Calculus I** (20406), but through a different approach. Beyond providing techniques and applications, this course strongly emphasizes the theoretical aspects of calculus, and provides complete and rigorous proofs for all the theorems presented. As a result, it is not easy. Therefore, although no specific prior Mathematics courses are required, it is not recommended as a student’s first encounter with university-level Mathematics.

**Topics**: Functions, limits and continuity; Bounded sets and bounded functions; Properties of continuous functions; The derivative; The definite integral; Methods of integration.

1There is some overlap in the content of this and other courses. For details, see Overlapping Courses.