Check the contents for the Mathematics leveling course taught at the Orihuela Campus. 

Units:

1. Introduction to
Mathematical Notation / Basic Operations, Order of Operations / Operations with Fractions / Proportions / Rule of Three / Logic in Proofs

2nd Equations
Solving equations with 1 variable / Quadratic equations / Systems of equations

3. Representation of functions:
Coordinate axes, representation of points on the plane / Generalities: representation of functions of 1 variable / Representations of lines / Representations of quadratic functions (parabolas) / Exponential functions / Logarithmic functions.

4th Matrices
Operations with Matrices: Addition, Multiplication /Determinants

5th Derivatives of 1 variable
Immediate derivatives / Linearity of derivatives / Product and quotient derivatives / Chain derivative

6th Integrals
: Indefinite Integral / Definite Integral

7th Elements of Statistics. Frequency Distributions
. Population. Sample/Types of Variables/ The Statistical Process/ Discrete Variable. Construction of Frequency Tables/ Continuous Variable. Grouped Data/ Relationship between the width, range and number of intervals.

8. Statistical graphs.
Statistical graphical representations/ Graphs of discrete random variables/ Graphs of continuous random variables. Grouped data/ Graphs of qualitative variables/ Other types of graphs.

9. Measures of central tendency and measures of dispersion.
Measures of central tendency for discrete variables / Measures of central tendency for continuous variables / Measures of dispersion for discrete variables / Measures of dispersion for continuous variables / Joint interpretation of the mean and standard deviation / Coefficient of variation.

10th Probability
Random events/ Classes of events/ Operations with events (Union and Intersection) / Law of chance and probability/ Laplace’s definition. Equiprobable events/ Properties of probability/ Compound experiments/ Probability of dependent and independent events/ Contingency tables.

Faculty:

• Mari Carmen Perea Marco
• Pedro Campillo Herrero