Elements of calculus: sets, number sets, numerical sequences, functions, limits, continuity, differential calculus in one variable, analysis of a function, integral calculus in one variable. 2. Linear Algebra: matrices, matrix operations, invertible matrices, matrix determinant, inverse matrix. Systems of linear equations and the gaussian elimination method. 3. Elements of Statistics: Data and sampling. Graphic presentations. Measures of location: arithmetic mean, geometric mean, median, mode. Measures of dispersion: quartiles, interquartile range, variance and standard deviation. Normal distribution. Coefficient of correlation and linear regression line. Iphotesis test
Prerequisites for admission
Knowledge and skill in the following arguments: equations and inequalities of first and second degrees; the equation of a line; trigonometric functions and main identities; properties of powers and logarithms.
Frontal lessons using multimedia devices. Exercises
Handouts provided by the teacher
Assessment methods and Criteria
The general learning outcome is to develop the students' abstract thought, to provide them with basic mathematical concepts, tools and rigorous language, together with problem solving abilities and the capacity to read and understand simple mathematical texts. To this purpose, the methods of calculus will be illustrated and applied to the analysis of real valued functions in one variable. The matrix methods for solving systems of linear equations will be presented, as well as the basic methods of descriptive statistics in the context of life sciences. In this way the students will become skillful at differential and integral calculus, and statistical data analysis.