50188 - QUANTITATIVE METHODS - PREPARATORY
Department of Decision Sciences
Course taught in English
Course Director:
MARGHERITA CIGOLA
MARGHERITA CIGOLA
Mission & Content Summary
MISSION
The precourse presents basic elements of Calculus which are required in the study of mathematics and statistics oriented to legal, economic and financial applications. It rests on certain knowledge, which should be in possession of all admitted students.
Since such knowledge is often missing, Bocconi offers this precourse in which the notions are concisely presented both for a revision and for a first introduction. Therefore, the main goal is to provide each incoming student with the necessary knowledge that will allow them to follow with success the course of "Quantitative Methods"
CONTENT SUMMARY
- Set Theory elements. Numbers: sum of real numbers, factorial.
- Functions; real functions of one real variable; the graph of a function.
- Functions properties; maxima and minima. Elementary functions. Piecewise functions.
- Composition of functions. Inverse function. Continuous functions.
- Derivatives. Elementary derivatives. The tangent line. Algebra of derivatives. The chain rule.
- Stationary points. Monotonicity and derivatives. First order test for maxima and minima.
- Second order derivative; concavity/convexity test. Second order test for maxima and minima.
- Antiderivative of a function. Elementary antiderivatives. Indefinite integral and its properties.
- Integral calculus methods; decomposition, by parts and change of variable.
- Vectors and matrices. Matrix calculus.
Intended Learning Outcomes (ILO)
KNOWLEDGE AND UNDERSTANDING
At the end of the course student will be able to...
- Describe the main properties and notions about functions.
- Reproduce the correct procedure to find stationary points and recognize their nauture.
- Select the convenient method to find an antiderivative.
APPLYING KNOWLEDGE AND UNDERSTANDING
At the end of the course student will be able to...
- Apply differential calculus to argue the behavior of a function.
- Compute antiderivates by choosing the convenient method.
- Solve basic problems of unconstrained optimization.
Teaching methods
- Lectures
- Practical Exercises
DETAILS
Traditional whiteboard lessons with slide support projected into the classroom.
Assessment methods
| Continuous assessment | Partial exams | General exam | |
|---|---|---|---|
|
x |
ATTENDING AND NOT ATTENDING STUDENTS
Assessment is included in the assessment procedures for code 50277.
There will be no additional assessment procedures.
Teaching materials
ATTENDING AND NOT ATTENDING STUDENTS
All teaching material will be available on Bboard classes at the beginning of the preparatory course.
Last change 25/05/2024 12:19
Mission & Content Summary
MISSION
The precourse presents basic elements of Calculus which are required in the study of mathematics and statistics oriented to legal, economic and financial applications. It rests on certain knowledge, which should be in possession of all admitted students. Since such knowledge is often missing, Bocconi offers this precourse in which the notions are concisely presented both for a revision and for a first introduction. Therefore, the main goal is to provide each incoming student with the necessary knowledge that will allow them to follow with success the course of "Quantitative Methods".
CONTENT SUMMARY
- Set Theory elements. Numbers: sum of real numbers, factorial.
- Functions; real functions of one real variable; the graph of a function.
- Functions properties; maxima and minima. Elementary functions. Piecewise functions.
- Composition of functions. Inverse function. Continuous functions.
- Derivatives. Elementary derivatives. The tangent line. Algebra of derivatives. The chain rule.
- Stationary points. Monotonicity and derivatives. First order test for maxima and minima.
- Second order derivative; concavity/convexity test. Second order test for maxima and minima.
- Antiderivative of a function. Elementary antiderivatives. Indefinite integral and its properties.
- Integral calculus methods; decomposition, by parts and change of variable.
- Vectors and matrices. Matrix calculus.
- Square matrices; determinant of a square matrix of order two and three.
- Minors of a square matrix, North-West minors.
Intended Learning Outcomes (ILO)
KNOWLEDGE AND UNDERSTANDING
At the end of the course student will be able to...
- Describe the main properties and notions about functions.
- Reproduce the correct procedure to find stationary points and recognize their nature.
- Select the convenient method to find an antiderivative.
APPLYING KNOWLEDGE AND UNDERSTANDING
At the end of the course student will be able to...
- Apply differential calculus to argue the behavior of a function.
- Compute antiderivates by choosing the convenient method.
- Solve basic problems of unconstrained optimization.
Teaching methods
- Lectures
- Practical Exercises
DETAILS
Traditional whiteboard lessons with slide support projected into the classroom.
Assessment methods
| Continuous assessment | Partial exams | General exam | |
|---|---|---|---|
|
x |
ATTENDING AND NOT ATTENDING STUDENTS
The assessment is included in the Quantitative Methods Course. No specific assessment is required.
Teaching materials
ATTENDING AND NOT ATTENDING STUDENTS
All teaching material will be available on Bboard classes at the beginning of the preparatory course.
Last change 25/05/2024 12:33