Winter Semester 2007/08
Winter Semester 2008/09
Winter Semester 2009/10
Winter Semester 2010/11
Winter Semester 2011/12
Mathematics 1 ES1A100001
Course content:
Linear Algebra: complex numbers, matrices, determinants, linear equation systems, vector analysis, basis, eigenvalues and eigenvectors.
Analytical geometry elements.
Calculus: number and power series, Taylor series, derivatives and its applications, integrals and its applications.
Ordinary differential equations: general notions, differential equations of the first order.
Learning outcomes:
Ability of operation: on complex numbers, matrices,vector calculus.
Derivative and integral single-variable calculus with applications.
Acquaintance of basic question from analytical geometry and vector area, number and power series and differential equations of the first order.
(in Polish) Rodzaj przedmiotu
Course coordinators
Term 2009Z: | Term 2010Z: |
Bibliography
a) basic references:
A course of higher mathematics : integral calculus, differential equations, vector analysis / A.A. Shestakov, I.M. Malysheva, and D.P. Polozkov, 1990;
Single-variable calculus / Robert A. Adams, 1983.
b) supplementary references:
Calculus I, II, III / Jerrold Marsden, Alan Weinstein, 1985.