Fundamentals of Calculus

Course guarantor:

Lecturer:

Tutor:

Supervisor:

Faculty of Nuclear Sciences and Physical Engineering

Synopsis:

Requirements:

Syllabus of lectures:

1. Limits of sequences

2. Functions and their properties

3. Limits of functions

4. The derivative, differentiation formulas, higher order derivatives

5. Indefinite intergral, substitution, intergration per parts

6. The definite integral, Newton's theorem

Syllabus of tutorials:

Study Objective:

Knowledge:

Elementary notions of mathematical analysis of the differential and

integral calculus of functions of one real variable.

Abilities:

Understanding the basics of mathematical logic and mathematical analysis.

Requirements:

Key words: Differential calculus, integral calculus, functions of one

real variable, limits, extremes of functions.

Study materials:

[1] Calculus, One Variable, S.L.Salas, Einar Hille, John Wiley and Sons,

New York, Chichester, Brisbane, Toronto, Singapore, 1990 (6th edition),

ISBN 0-471-51749-6

Note:

Further information:

No time-table has been prepared for this course

The course is a part of the following study plans: