Calculus

The course is intended to the students at the first semester of their studies in Physics. The students usually have a good background on mathematics. as they have been taught them in the high school. This initial background differs from year to year and this made the first introductory chapter necessary. The Final goal for the student is to understand the basics of the Calculus and to use calculus intelligently for solving a wide variety of mathematical and physical problems.

Objectives

The main goal is tο understand the basic notions of the Calculus of one variable which is necessary to continue studying Physics. Finally the student will learn: the notion of the limit and how the notions of derivative and of continuity are produced. the way these concepts create Calculus and especially the development of calculation capabilities in relation to algebra. the way the concepts of limit, derivative, integral, etc. are used in Physics to calculate the physical quantities.

Prerequisites

Basic high school knowledge of Calculus

Syllabus

1. Numbers 2. Functions of one Variable 3. Limit and Continuity 4. Differentiation 5. Applications of the Derivative 6. The Integral 7. Applications