The purpose of Analysis 1-3 is to familiarise students with the theory of real and vector valued functions of one and several variables and calculation techniques needed in applications of analysis.
Limit and continuity, elementary functions, differential calculus, l'Hospital's rule, Taylor's Theorem.
1. Salas, Hille, Etgen, Calculus: One and Several Variables
2. Apostol: Calculus vol. I.