Course description

The course discusses the mathematics curriculum required for further probability and statistical studies. Fundamentals of set theory. Descartes product. Relations. Logical symbols. Basic concepts of graph theory. Vectors and matrices. Matrix operations and their properties. Linear transformations. Determinants. Singularity. Linear dependence. Solvability of systems of linear equations. Infinite series. Fundamentals of functions. Limit and continuity. Important function types. Inverse functions. Basics of differential and integral calculus, Newton-Leibnitz rule.

Mandatory resources:

• Lang, Z.: Biomathematics 1, lecture and practical slides handouts (for internal use)
• Abbott P, and Neill H. Calculus: A Complete Introduction. Hodder and Stoughton, 2013.

Recommended resources:

• Cherney D, Denton T, and Waldron AK. Linear Algebra. CreateSpace Independent Publishing Platform, 2016.