Applied Mathematics

The teaching and learning methodologies for this curriculum unit aim to provide students with a comprehensive and applied experience in mathematics, focused on the specific areas of Accounting, Public Management, and Finance.

1. Expository approach combined with a practical component focused on solving practical problems, both individually and in groups, supported by software such as GEOGEBRA.

2. The expository component aims to establish a solid theoretical foundation, introducing fundamental concepts, mathematical symbolism, and essential techniques, providing a clear understanding of the topics to be explored.

3. Emphasis on clear and precise translation into mathematical language and structured resolution of practical problems, highlighting the direct application of learned concepts.

4. Encouraging students to apply their knowledge independently, individually or in workgroups, to solve real-world problems related to Accounting, Public Management, and Finance. This method not only consolidates theoretical learning but also develops practical skills essential for future professional challenges.

5. The introduction of software such as GEOGEBRA as a support tool for problem-solving aims to emphasize practical application and allows students to visualize complex mathematical concepts, understand their practical applications, and develop relevant technological skills.

6. Conducting dedicated group problem-solving sessions where students can discuss strategies, share ideas related to applied mathematics.

7. Implementing regular formative assessments to monitor student progress, identify areas for improvement, and provide opportunities for corrections throughout the course.

8. Considering the possibility of flipped classes, with students previewing texts, videos, etc., outside the classroom context.

The learning objectives of this curriculum unit are intrinsically linked to the adopted teaching method, aiming for students to gain skills in problem-solving within the fields of accounting, management, and finance. Specifically:

1. Acquisition of essential knowledge by exposing students to specific mathematical topics crucial for understanding and solving problems in accounting, management, and finance.

2. Translation into mathematical language and structured resolution of practical problems.

3. Proficiency in the graphical analysis and interpretation of functions and flat regions.

4. Use of Computer Tools such as GEOGEBRA to support problem-solving.

1. Symbolism and mathematical language

2. Matrix Calculus

2.1. Matrix algebra.

2.2. Gauss elimination method applied to the discussion and resolution of systems of linear equations.

2.3. Applications in the areas of management, accounting, and finance.

3. Real functions of a real variable

3.1. Generalities.

3.2. Interpretation of graphical representations of functions.

3.3. Polynomial, exponential, and logarithmic functions.

3.4. Limits and continuity.

3.5. Derivatives: definition, geometric interpretation, and calculation.

3.6. Differentials; approximate values.

3.7. Extremes calculation.

3.8. Applications in the areas of management, accounting, and finance.

4. Functions of two variables

4.1. Generalities.

4.2. Partial derivatives.

4.3. Differentials; approximate values.

4.4. Extremes calculation.

4.5. Applications in the areas of management, accounting, and finance.

5. Integration.

5.1. Concepts, properties, and calculation.

5.2. Differential equations and interpretation of level curves.

5.3. Applications in the areas of management, accounting, and finance.