Content (Syllabus outline)

  • Real numbers and selected elementary functions: graphic presentation and properties of linear, quadratic, exponential and logarithmic functions, solving quadratic, exponential and logarithmic equations, introduction to derivatives, relative and absolute minima and maxima, elasticity, examples of their use in agriculture.

  • Sequences and mathematics of finance: definition and properties of sequences and series, arithmetic and geometric sequences, infinite geometric series, definition of number e, simple interest, compound interest, annuities, present value of annuity, law of natural growth.

  • Introduction to linear algebra: definition of matrices, matrix multiplication, inverse of a matrix, system of linear equations, concept of a linear program and its graphic solution, examples of systems of equations and linear programs in agriculture.

  • Introduction to probability and decision making: basic concepts in combinatorial analysis, computing probabilities, introduction to decision-making methods, decision tree, decision making under uncertainty and risk.

  • Network planning: definition of a network and its graphic presentation, shortest path, scheduling problems.

Prerequisites

1. Prerequisite for course work:

Enrollment in the corresponding (1st) year of the study program

2. Prerequisite for permission to take the final examination:

- Attendance at tutorials

- Fulfilled obligations from lectures and tutorials