2024
Mathematical Calculus I
Name: Mathematical Calculus I
Code: MAT12877L
6 ECTS
Duration: 15 weeks/156 hours
Scientific Area:
Mathematics
Teaching languages: Portuguese
Languages of tutoring support: Portuguese
Presentation
In this course, the knowledge of mathematical analysis essential for the formation of students is addressed.
Sustainable Development Goals
Learning Goals
The intended learning outcomes of the curricular unit are the following:
Learn the basics of Mathematical Analysis;
Know how to apply the main concepts acquired and make rigorous demonstrations, justifying the several steps;
Know how to formulate a problem mathematically and identify and implement strategies appropriate to its analytical
resolution;
Master the main concepts and tools of differential and integral calculus in IR and know how to apply them in the
different contexts of the curricular units of the specialty that this curricular unit serves;
Demonstrate analysis, calculation and deductive reasoning skills;
To develop the abstract reasoning.
The skills and competencies developed in the curricular unit are the following:
Ability to understand and solve mathematical problems;
Construction of mathematical models;
Abstraction skills;
Creative intuition and critic capability
Spoken and written capability to solve and explain the results.
Learn the basics of Mathematical Analysis;
Know how to apply the main concepts acquired and make rigorous demonstrations, justifying the several steps;
Know how to formulate a problem mathematically and identify and implement strategies appropriate to its analytical
resolution;
Master the main concepts and tools of differential and integral calculus in IR and know how to apply them in the
different contexts of the curricular units of the specialty that this curricular unit serves;
Demonstrate analysis, calculation and deductive reasoning skills;
To develop the abstract reasoning.
The skills and competencies developed in the curricular unit are the following:
Ability to understand and solve mathematical problems;
Construction of mathematical models;
Abstraction skills;
Creative intuition and critic capability
Spoken and written capability to solve and explain the results.
Contents
1. Sequences and series.
2. Real functions of one variable.
3. Differential calculus.
4. Sequences and series of functions.
5. Integral calculus and applications.
2. Real functions of one variable.
3. Differential calculus.
4. Sequences and series of functions.
5. Integral calculus and applications.
Teaching Methods
Theoretical classes, with presentation of concepts, results and respective demonstrations, as well as application examples; and theoretical-practical classes, where exercises in which the learned concepts are applied are solved. Special emphasis is given to problems that interconnect the tools developed with the concepts studied, and lists of exercises are made available to cement the knowledge presented.
Student service hours are available to clarify doubts.
Student service hours are available to clarify doubts.
Assessment
The assessment of knowledge comprises two alternative aspects: assessment by frequency and assessment by examination. The continuous assessment is composed of three tests (with 80% weight of the final grade) and three minitests (with 20% weight of the final grade), performed during the period. The evaluation by exam consists of a global exam, which will be carried out in the normal period and/or in the appeal period.
Teaching Staff (2023/2024 )
