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Course 2020-2021 a.y.

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

BEMACS
Department of Decision Sciences

Course taught in English


Go to class group/s: 25

BEMACS (7 credits - I sem. - OB  |  SECS-S/06)
Course Director:
FABRIZIO IOZZI

Classes: 25 (I sem.)
Instructors:
Class 25: FABRIZIO IOZZI


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 Real Mathematical Analysis and Linear Algebra. Emphasis is given to mathematical reasoning.

CONTENT SUMMARY
  • Linear Algebra: Vector Spaces over Fields, Bases, Subspaces, Linear Operators in Vector Spaces, Eigenvalues and Eigenvectors, Applications.
  • Fundamental ideas and theorems on Several Variables Differential Calculus (Continuity, Partial Derivatives, Differentiability).

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 Real Analysis and 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
  • Face-to-face lectures
  • Exercises (exercises, database, software etc.)
  • Individual 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 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 (66% of the final grade) + an end of semester written test (34% of the final grade)

     

    All tests and assignments consist of multiple choice and open-ended questions.

     

    Multiple choice questions test the student's knowledge and understanding the basic facts about the relevant topics, their ability to recognize the links among mathematical objects and to use basic computational techniques.
     

    Open-ended questions test the student's ability to explain the key-concepts about fundamental topics, to use mathematical reasoning to prove simple statements and to argue about the correctness of other statements.


    Teaching materials
    ATTENDING AND NOT ATTENDING STUDENTS

    Lecture notes and exercises, available online.

    Last change 01/08/2020 12:59