Goals:

• Provide adapted, organized, and targeted material for new students.
• To offer, throughout the academic year, a study and learning platform that complements or corrects possible deficiencies in necessary knowledge, and that can be reviewed when detected and required.

Este curso se dirige al alumnado de nuevo ingreso que tenga identificado deficiencias en contenidos del currículum de 2º de Bachillerato. Como orientación, te recomendamos cursar si estás en alguna de estas condiciones:

• You have obtained a score lower than 7 in the subject Mathematics II in the PAU or 2nd year of Baccalaureate.
• You have left unstudied some sections of the syllabus for the subject Mathematics II.
• Clearly identify that you have deficiencies in the management of the subject of mathematics.

Timing: Throughout the academic year (available from July 25, 2025).

Mode: Online

Registration: New students will be sent a message with registration instructions.

Organization and contentsThis course is completely voluntary and free of charge. It is offered online and has no time limit, but we recommend completing it before the official start of classes for the 2025-26 academic year.

It has a modular structure and can be completed sequentially (module by module in order, which is what we recommend) or selectively (only the modules of interest, for those who wish to address a specific knowledge gap).
Los contenidos del curso de organizan en 5 Bloques:

• Block 1: Numbers and operations
  Numbers, exponents, radicals, and scientific notation. Algebraic expressions, notable identities, and equations.
• Block 2: Geometry
  Plane figures. Solid bodies. Surfaces and volumes. Trigonometry. Vectors, lines, and planes in the plane and in space.
• Block 3: Algebra
  Matrices and systems of linear equations. Matrix algebra. Inverses of matrices and matrix equations. Determinants. Cramer's rule
• Block 4: Functions. Differential Calculus
  Basic functions. Elementary transformations. Rate of change. Limits. Derivatives. Applications
• Block 5: Integral Calculus
  Indefinite Integration: Primitives. Indefinite Integral. Immediate Integrals. Integration by Substitution. Integration by Parts. Integrals of Rational Functions.

You can access each block in any order you wish, but in each block you will have to complete a series of questionnaires.

Methodology: Each block consists of the following teaching materials:

• PDF Notes: Very visual, very graphic, with definitions, properties, examples and exercises.
• Videos explaining the material in the notes.
• Videos with typical problem solving.
• Sheets of proposed problems.
• Progress quizzes: As you achieve the minimum score on your attempts, you'll be able to access subsequent content.

Evaluation and certification: Para obtener el certificado de aprovechamiento, deberán completarse al menos el 75% de los cuestionarios del curso y obtener una nota media de ellos de al menos 5 puntos. Una vez completados estos requisitos, se emitirá un certificado acreditativo de aprovechamiento de 3 créditos.

Credits: 3 ECTS

Communication: El curso tiene habilitado un Foro donde podrás plantear las dudas con respecto al desarrollo del curso.
Para cualquier duda o consulta individual sobre la organización del curso, puedes dirigirte a la coordinadora del curso en la dirección de correo: cursoceromat@ull.edu.is