Learning outcomes

• CM01 (Write elementary proofs in the field of algebra and analysis in an orderly and precise manner.) Write elementary proofs in the field of algebra and analysis in an orderly and precise manner.
• CM02 (Develop autonomous strategies for solving basic mathematical problems.) Develop autonomous strategies for solving basic mathematical problems.
• KM01 (Identify the basics of linear algebra and single-variable analysis.) Identify the basics of linear algebra and single-variable analysis.
• KM02 (Identify the rules of differentiation and integration of functions, as well as the basic results of the differential calculus in one real variable.) Identify the rules of differentiation and integration of functions, as well as the basic results of the differential calculus in one real variable.
• KM03 (Relate the visual properties of a function graph in a real variable to its analytical properties.) Relate the visual properties of a function graph in a real variable to its analytical properties.
• SM01 (Apply the rules of algebra and single-variable analysis to the classification of applications according to various criteria (rank, determinant, Jordan forms, existence of maxima and minima, asymptotes).) Apply the rules of algebra and single-variable analysis to the classification of applications according to various criteria (rank, determinant, Jordan forms, existence of maxima and minima, asymptotes).
• SM02 (Apply the basics of linear algebra and analysis to a variable to solve mathematical problems.) Apply the basics of linear algebra and analysis to a variable to solve mathematical problems.
• SM03 (Relate the concepts of linear algebra to those of single-variable analysis (linearity of differential and integral operators or continuity of matrix operations, etc.).) Relate the concepts of linear algebra to those of single-variable analysis (linearity of differential and integral operators or continuity of matrix operations, etc.).