ISLA IPGT 902

Mathematical Analysis

• ApresentaçãoPresentation

  The main objective of this course is to equip students with fundamental knowledge in the fields of diferential and integral calculus and logical and mathematical reasoning. The aim is that, through various theoretical and practical strategies, students can apply the knowledge acquired throughout the semester and solidify their Computational Thinking, which is essential for a future in the field of Computer Science
• ProgramaProgramme

  Real Functions of a Real Variable: Definitions and generalities Polynomial functions Rational functions Irrational functions Exponential functions Logarithmic functions Limits and Continuity: Definition of the limit of a function Limit calculation Indeterminate forms Continuity Asymptotes Differential Calculus: Definition Derivation rules Applications Integral Calculus: Definition and properties Integration techniques Fundamental Theorem of Calculus Series: Definition and convergence Convergence criteria for numerical series Calculation of numerical series Taylor series and Maclaurin series
• ObjectivosObjectives

  The Course Unit (CU) was created with the aim of consolidating and expanding students' mathematical knowledge. Understanding concepts and techniques of differential calculus is the primary objective. Students are expected to master the topics outlined in the syllabus, develop abstraction skills, and intuitively and critically apply what they learn in this CU to their field of study. The goal is to equip students with an awareness of the need for rigor in language use and clarity in presentation, as well as the analytical capacity and autonomy to use mathematical techniques in solving concrete problems in their professional lives. By the end of the course, students should master the techniques of differentiation and integration in IR, model and solve optimization problems, identify convergent series, calculate their values and develop functions in power series, apply integral calculus in IR to problem-solving, and enhance their reflective and computational skills.
• BibliografiaBibliography

  Notes for the Curricular Unit provided by the teacher
• MetodologiaMethodology

  The approach will be made to teach subjects in a simple way where the student role will primarily forward and express their shortcomings, both in what concerns the field of materials, both in its correct interpretation and use. The pedagogical approach of content is done in three phases properly monitored: interpretation of utterances, solving exercises by the students, individually and collective discussion of the issues that raises the problem solving and expository whenever necessary. Students will be assessed through two Intermediate Tests or through a Global Evaluation Test (the student can choose).
• LínguaLanguage

  Português
• TipoType

  Semestral
• ECTS

  6
• NaturezaNature

  Mandatory
• EstágioInternship

  Não