Mathematical Thinking

The Mathematical Thinking Curricular Unit (CU) aims to provide students with fundamental mathematical concepts that support the resolution of complex problems in various contexts. The CU covers essential topics such as combinatorial calculus, probabilities, differential calculus, trigonometric, exponential, and logarithmic functions, as well as complex numbers, promoting the development of logical and quantitative reasoning. This CU is essential for strengthening students' analytical abilities, being a transversal competence across multiple fields of knowledge and important both for success in other curricular units throughout the course and for solving real-world problems.

1) Combinatorial Calculus 2) Probability 3) Real Functions of a Real Variable 4) Trigonometry and Trigonometric Functions 5) Exponential and Logarithmic Functions 6) Complex Numbers

At the end of the curricular unit, students should be able to: - Apply the rules of combinatorial calculus and probabilities to solve practical problems. - Understand and analyse the behaviour of real functions, including limits, continuity, and derivatives. - Solve optimization problems and graphically interpret differentiable functions. - Apply differential calculus to trigonometric functions and solve problems related to harmonic oscillations. - Understand and apply the properties of exponential and logarithmic functions in problem modelling contexts. - Understand the applicability of complex numbers and know how to use them to solve problems. - Develop structured mathematical thinking and the ability to interpret, model, and solve real-life situations involving mathematics.