Check the contents for the Mathematics leveling course taught at the Elche campus.

Units:

• Session 1: Some elementary operations and elementary functions: operations with fractions and operations with inequalities. Description and properties of functions: polynomial, exponential, and logarithmic.
• Session 2: Trigonometric and inverse trigonometric functions: description and properties through trigonometry.
• Session 3: Equations: Equations of some well-known curves: line, circle, ellipse, parabola, hyperbola. Solving nonlinear equations: polynomial, exponential, logarithmic, and trigonometric equations.
• Session 4: Matrices and determinants: basic properties and calculation.
• Session 5: Solving systems of linear equations: methods and examples.
• Session 6: Solving systems of nonlinear equations: Examples of equations with two and three unknowns.
• Session 7: Introduction to derivatives: Definition and interpretations, basic properties, derivatives of elementary functions.
• Session 8: Calculating derivatives: Examples.
• Session 9: Calculation of antiderivatives: Definition, basic properties, immediate integrals. Some integration methods.
• Session 10: The definite integral: Basic ideas and properties. Barrow’s rule. Examples.

Faculty:

• Ángel Giménez Pastor
• Juan Parra López
• Francisco Javier Toledo Melero