Insegnamento a.a. 2024-2025

30407 - ADVANCED MATHEMATICS AND STATISTICS - MODULE 1 (APPLIED MATHEMATICS)

Department of Decision Sciences

Course taught in English
code 30407 and code 30408 Advanced mathematics and statistics - Module 2 (Advanced statistical methods) are respectively the first and the second module of the course code 30406 Advanced mathematics and statistics

Student consultation hours
Class timetable
Exam timetable
Go to class group/s: 25
BEMACS (7 credits - I sem. - OB  |  SECS-S/06)
Course Director:
FABIO ANGELO MACCHERONI

Classes: 25 (I sem.)
Instructors:
Class 25: FABIO ANGELO MACCHERONI


Suggested background knowledge

To feel comfortable in this course, students should be familiar with basic differential calculus and linear algebra.

Mission & Content Summary

MISSION

This course covers advanced topics in Linear Algebra. Emphasis is given to mathematical reasoning.

CONTENT SUMMARY

Vector Spaces

 

Finite-Dimensional Vector Spaces

 

Linear Maps

 

Eigenvalues and Eigenvectors

 

Inner Product Spaces

 

Operators on Inner Product Spaces


Intended Learning Outcomes (ILO)

KNOWLEDGE AND UNDERSTANDING

At the end of the course student will be able to...
  • Explain the basic facts about the relevant topics 

  • Describe the theoretical links among mathematical objects 

  • Explain in detail some selected topics of Linear Algebra. 

  • Illustrate the structure of mathematical reasoning through examples. 

APPLYING KNOWLEDGE AND UNDERSTANDING

At the end of the course student will be able to...
  • Use selected basic computational techniques

  • Use definitions, theorems and mathematical reasoning to prove simple statements.

  • Argue about the correctness of statements using the theorems, definitions and techniques learned in class.


Teaching methods

  • Practical Exercises
  • Individual works / Assignments

DETAILS

  • Face to Face lectures present the most important facts about the topics.
  • Multiple Exercises sessions help students familiarize with the mathematical reasoning and some simple computational techniques
  • Individual assignments offer the students the opportunity to test both their computational skills (through quizzes) and their reasoning skills (through open ended questions).

Assessment methods

  Continuous assessment Partial exams General exam
  • Written individual exam (traditional/online)
    x
  • Individual Works/ Assignment (report, exercise, presentation, project work etc.)
x    

ATTENDING AND NOT ATTENDING STUDENTS

The exam can be taken in two ways: 

  • a single written test (100% of the final grade) 

  • some individual written assignments during the semester (50% of the final grade) + an end of semester written test (50% of the final grade) 

 

All tests and assignments consist of open-ended questions. 

 

All questions test the student's knowledge and understanding of the basic facts about the relevant topics, their ability to recognize the links among mathematical objects and to use basic computational techniques. Moreover, the questions test the student's ability to use mathematical reasoning to prove simple statements and to argue about the correctness of other statements. 


Teaching materials


ATTENDING AND NOT ATTENDING STUDENTS

Linear Algebra Done Right

 

fourth edition 17 May 2024

 

© 2024 Sheldon Axler Sheldon Axler

 

Freely available online

Last change 28/05/2024 14:18