PAU Applied Mathematics for Social Sciences II (Cantabria)

Six blocks: matrices and linear systems, linear programming, functions and limits, differential calculus with applications, integral calculus and areas, and probability with random variables. Questions are open-response problems, often with a choice between alternatives inside the paper, and you must show the method, not only the answer.

The number of problems, the internal options and the duration are set each year in the official call published by the Gobierno de Cantabria and the coordinating university. Those documents are the only reliable source for the current figures, so check them before the exam rather than relying on older papers.

Graphing and scientific calculators are generally permitted under the conditions stated in the call for that year, which also lists any restrictions on programmable or symbolic-capable models. Read the current resolution carefully: using a disallowed device can invalidate your paper regardless of the mathematics.

The content is narrower and more applied: fewer abstract proofs, more modelling and interpretation. Candidates usually find the algebra and linear programming accessible, while optimisation problems and probability distributions demand careful reading. The difficulty lies in justifying steps and interpreting results, not in exotic theory.

Resit arrangements, the number of sittings per year and any limits on repeating are governed by the current access regulations and the annual call. Confirm the applicable rules with the Consejería de Educación or the university you are applying to, since conditions can change between years.

Start with matrices and systems, because the algebra underpins later work, then linear programming, which rewards systematic practice. Move to functions, limits and derivatives as one continuous unit, add integration and areas, and finish with probability. Leave the final weeks for complete timed papers.

Not writing the setup, skipping the discussion of a system's compatibility, forgetting to check the feasibility region's vertices, and failing to interpret a derivative or an integral in context. In probability, the usual losses come from confusing conditional and joint probabilities and from not defining the random variable.

Treat them as timed rehearsals, not reading material. Solve a full paper, then mark it against the official criteria, listing every lost mark by cause: concept, algebra, presentation or interpretation. Revisit only the weak blocks, then repeat with another paper. Three or four cycles usually change your grade noticeably.

It is typically taken as a subject in the access phase and can be weighted by degrees in economics, business and related areas, but the weighting and the applicable rules depend on the university and the year. Check the admission parameters published by the university you are targeting.