Degree in Physics

Zero Courses in Mathematics

Introductory Course to University Mathematics

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.

This course is aimed at newly enrolled students who have identified gaps in the content of the 2nd year of Bachillerato curriculum. As a guide, we recommend taking this course if you meet any of the following conditions:

  • 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 27, 2026).

Mode: Online

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

Organization and contentsThis course is entirely voluntary and free. It is offered online and has no time limit, but we recommend completing it before the official start of the 2026-27 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).
The course content is organized into 5 blocks:

  • 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 like.

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.

Important: This course does not grant academic credit. Its purpose is to serve as a support tool to help overcome difficulties related to the use and understanding of mathematics.

CommunicationThe course has a forum where you can ask questions about the course.
For any questions or individual queries regarding the organization of the course, you can contact the course coordinator at the following email address: cursoceromat@ull.es

Introductory Course toMathematical Reasoning

Goals:

This course is designed as an adaptation tool for newly enrolled students in mathematics and physics degrees. Its objectives include:

  • Introduce methodology and reflection into the mathematics learning process.
  • To prepare students for the methodological and final change in the classes of the mathematics and/or physics degrees: handling of symbolic language, fundamental and abstract concepts and logical and structured deductive processes.
  • To provide support material for the development of the first university course.

Credits: 2 ECTS = 20 hours.

Timing: From 01/09/26 to 04/09/26.

Schedule: from 9:00 to 13:45. 

Mode: In-person group, rest streaming. It is recommended to do so in person, as some activities are only available in person.

Place: Faculty of Sciences – Mathematics Section: Room 3 (Mathematics Degree), Room 2 (Physics Degree).

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

Ccontents:

  • BLOCK 1: Mathematical language and symbology
    Preliminaries. Sets and Relations. Symbolic Logic and Quantifiers. Direct and Indirect Proofs. Existence and Proofs by Contradiction. Proofs and Refutation.
  • BLOCK 2: Mathematical reasoning 
    Induction. Introduction to geometry. Functions.

Certification: It is considered only one rating of PASS = COURSE COMPLETED which is obtained when the following two conditions are met:

  1. The 90% questionnaires have been completed.
  2. At least 75% of the questionnaires has been passed.

A certificate will be issued if you are PASSED.