The aim of the course is to broaden and consolidate the acquisition of the mathematical method as a fundamental investigation tool for economic, financial and business disciplines. To this end, the course is divided into four parts. In the first part we provide notions of linear algebra to study linear systems and diagonalization of matrices. In the second part the student will be introduced to the study of differential calculus for functions of several variables. In the third part the course provides tools to recognize and study free and constrained optimization problems. In the fourth part solution methods for simple systems and differential equations will be provided.
Curriculum
teacher profile teaching materials
Programme
Summary of the Program: Vectors, matrices, diagonalization, and sign. Functions of several variables: properties, domain, differentiability, and derivability. Taylor polynomial of two variables. Level curves. Unconstrained and constrained optimization. First- and second-order differential equations.Core Documentation
Matematica per le applicazioni Economiche, teoria ed esercizi. Authors: Mastroeni, Mazzoccoli. PearsonReference Bibliography
Matematica per le applicazioni Economiche, teoria ed esercizi. Authors: Mastroeni, Mazzoccoli. PearsonAttendance
Attendance is not mandatory but strongly recommendedType of evaluation
Students are required to take a written examination and, subject to a positive result, they will be admitted to the oral examination. teacher profile teaching materials
Programme
Summary of the Program: Vectors, matrices, diagonalization, and sign. Functions of several variables: properties, domain, differentiability, and derivability. Taylor polynomial of two variables. Level curves. Unconstrained and constrained optimization. First- and second-order differential equations.Core Documentation
Matematica per le applicazioni Economiche, teoria ed esercizi. Authors: Mastroeni, Mazzoccoli. PearsonReference Bibliography
Matematica per le applicazioni Economiche, teoria ed esercizi. Authors: Mastroeni, Mazzoccoli. PearsonAttendance
Attendance is not mandatory but strongly recommendedType of evaluation
Students are required to take a written examination and, subject to a positive result, they will be admitted to the oral examination. teacher profile teaching materials
Programme
Summary of the Program: Vectors, matrices, diagonalization, and sign. Functions of several variables: properties, domain, differentiability, and derivability. Taylor polynomial of two variables. Level curves. Unconstrained and constrained optimization. First- and second-order differential equations.Core Documentation
Matematica per le applicazioni Economiche, teoria ed esercizi. Authors: Mastroeni, Mazzoccoli. PearsonReference Bibliography
Matematica per le applicazioni Economiche, teoria ed esercizi. Authors: Mastroeni, Mazzoccoli. PearsonAttendance
Attendance is not mandatory but strongly recommendedType of evaluation
Students are required to take a written examination and, subject to a positive result, they will be admitted to the oral examination. teacher profile teaching materials
Programme
Summary of the Program: Vectors, matrices, diagonalization, and sign. Functions of several variables: properties, domain, differentiability, and derivability. Taylor polynomial of two variables. Level curves. Unconstrained and constrained optimization. First- and second-order differential equations.Core Documentation
Matematica per le applicazioni Economiche, teoria ed esercizi. Authors: Mastroeni, Mazzoccoli. PearsonReference Bibliography
Matematica per le applicazioni Economiche, teoria ed esercizi. Authors: Mastroeni, Mazzoccoli. PearsonAttendance
Attendance is not mandatory but strongly recommendedType of evaluation
Students are required to take a written examination and, subject to a positive result, they will be admitted to the oral examination. teacher profile teaching materials
Programme
Summary of the Program: Vectors, matrices, diagonalization, and sign. Functions of several variables: properties, domain, differentiability, and derivability. Taylor polynomial of two variables. Level curves. Unconstrained and constrained optimization. First- and second-order differential equations.Core Documentation
Matematica per le applicazioni Economiche, teoria ed esercizi. Authors: Mastroeni, Mazzoccoli. PearsonReference Bibliography
Matematica per le applicazioni Economiche, teoria ed esercizi. Authors: Mastroeni, Mazzoccoli. PearsonAttendance
Attendance is not mandatory but strongly recommendedType of evaluation
Students are required to take a written examination and, subject to a positive result, they will be admitted to the oral examination. teacher profile teaching materials
Programme
Summary of the Program: Vectors, matrices, diagonalization, and sign. Functions of several variables: properties, domain, differentiability, and derivability. Taylor polynomial of two variables. Level curves. Unconstrained and constrained optimization. First- and second-order differential equations.Core Documentation
Matematica per le applicazioni Economiche, teoria ed esercizi. Authors: Mastroeni, Mazzoccoli. PearsonReference Bibliography
Matematica per le applicazioni Economiche, teoria ed esercizi. Authors: Mastroeni, Mazzoccoli. PearsonAttendance
Attendance is not mandatory but strongly recommendedType of evaluation
Students are required to take a written examination and, subject to a positive result, they will be admitted to the oral examination.