Check the contents for the Applied Mathematics leveling course taught at the Orihuela campus (Salesas).

Units:

• Session 1. Introduction to
  Mathematical Notation / Basic Operations, Order of Operations / Operations with Fractions / Proportions / Rule of Three / Logic in Proofs
• Session 2. Equations.
  Solving equations with 1 variable / Quadratic equations / Systems of equations
• Session 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.
• Session 4. Matrices.
  Operations with Matrices: Addition, Multiplication / Determinants
• Session 5. Derivatives of 1 variable
  Immediate derivatives / Linearity of derivatives / Product and quotient derivatives / Chain derivative
• Session 6. Integrals
  Indefinite integral / Definite integral
• Session 7. Descriptive Statistics
  Basic Concepts: Population, Sample, Descriptive, Statistical Inference, etc. /Types of variables: Qualitative and Quantitative (Discrete and Continuous)/ Measures of Central Tendency and Measures of Dispersion/ Construction of Frequency Tables/ Grouped Data
• Session 8. Statistical Graphs
  : Discrete Qualitative and Quantitative Variables: Bar Chart, Pie Chart/ Other graphs/ Continuous Variables: Line Chart, Histogram/ Other graphs
• Session 9. Probability
  Introduction to Combinatorics/ Experiments and Random Events/ Operations with Events: Union, Intersection, etc./ Definition of Probability: Laplace’s Rule/ Properties of Probability/ Conditional Probability/ Theorem of Total Probability/ Bayes’ Theorem.
• Session 10. Some Probability Distributions:
  Probability Function/ Density Function/ Properties/ Introduction to the Binomial Distribution/ Introduction to the Normal Distribution

Faculty:

• Pedro Campillo Herrero
• Mari Carmen Perea Marco
• Nuria Ramón Escolano