PCE Mathematics II Exams

Mathematics has been (and is being) a great terror to be able to access many universities, since they usually ask for the Modality criterion in some and it is an essential requirement to take the exam and pass it. It is a very necessary subject, given that many of the subjects rely on it to resolve their theories. From a laboratory, where a vaccine is studied, to the technician who built the road you walk on every day, they have needed a mathematical basis.

Last call data (2024)

• Pass percentage: 24,14% (see approvals of all subjects)
• Average grade of those approved: 6,53
• Exam type: Test + Problems
• Difficulty of the subject: High
• Exam difficulty: High

Mathematics II Syllabus

The content to study in the subject is:

a) Algebra
1. Arrays
2. Determinants
3. System of equations

b) Analysis
1. Limits and continuity
2. Derivatives
3. Application of derivatives
4. Function representation
5. Integrals
6. Curves in the plane

c) Geometry
1. Vectors
2. Straight lines and planes
3. Metric properties

d) Statistics
1. Random events
2. Random variables

Most frequently asked questions

In the test part, statistics, algebra, derivatives, limits and integrals are usually the most typical questions. Without neglecting to leave topics, for the development questions the most frequent part is usually the geometry part (lines and planes and metric in space) along with the analysis of functions and matrices.

How is the Mathematics II exam structured at the PCE?

No calculators allowedProblems are evaluated as a whole, meaning that if any section of a problem is left blank, it will result in a penalty.

The exam is organized as follows:

• 1 part. An 8-question test, 5 of which must be chosen. Correct answers add up to 0.5 points and incorrect answers subtract 0.2 points.
• 2 part. There will be two blocks of two questions each. You must choose one question from each block. Each chosen question is worth 2,5 points, for a total of 5 points for this part.
• 3 part. A competency-based problem with contextualization. You will be asked to use what you've learned to solve the real-life problem. This section is worth 2.5 points.

https://youtu.be/wE0xvQ6TQ-E?si=tfnozJFOGiRpuyp0

Tricks and tips

• Write down all the data that is necessary for the statement.
• Write all the steps of the exercises. Breaking down the problems can facilitate both your development and correction.
• Practice lots of exercises
• Have fast and reliable handling with the calculator
• Pay close attention to the number signs. A high percentage of errors can be derived from putting a sign wrong.
• Although most of the questions are practical, it requires having a high command of theory to be able to see the solution to the problem faster.
• In the questions to be developed, do not limit yourself to putting only the results, try to make clear all the steps you take in the exercise, so that in case of error the corrector will be able to see where the error is and assess its severity. However, even if it is a numbers subject, if you explain each step a little that will make you receive a positive evaluation.
• It is very important to be clear when answering, do not cross out (crossing out the part you don't want with a line is enough).
• Underline or box your answer, this makes it easier to correct.
• The ability to simplify the exercise to reach the solution is valued. But remember to follow all the steps.
• As always, keep an eye out for spelling mistakes.
• It is essential that you have a solid mathematical base, to be able to go fast.
• In the questions about limits, derivatives, determinants and matrices, try to mechanize the way to do them. That way you will achieve speed and fewer mistakes when doing them.
• If we were you, we would start with the test type because they are usually shorter questions. In the first pass we would answer only those that we knew 100%. After a second pass, we would try to solve those that we have not achieved immediately. Since they remain, we would only respond to those in which we have medium-high security. Never at random.

Mathematics Resources II PCE

• See Model of Mathematics II PCE 2026 (If you want to see more models and request the resolution, click here) here)
• Free notes
• Level test