Course 2024-2025 a.y.

30626 - QUANTITATIVE METHODS - PREPARATORY

Department of Decision Sciences

Course taught in English
Go to class group/s: 28
BGL (II sem. - P)
Course Director:
MARGHERITA CIGOLA

Classes: 28 (II sem.)
Instructors:
Class 28: MARIA BEATRICE ZAVELANI ROSSI


Suggested background knowledge

None

Mission & Content Summary

MISSION

The aim of the preparatory course in Quantitative Methods is to consolidate some topics in pre-undergraduate mathematics which are considered as known and which are not repeated in the University courses. The topics covered by the course will contribute to face basic quantitative aspects in several fields and will help students to study with comfort and competence any further course involving quantitative notions.

CONTENT SUMMARY

  • Numbers, set of numbers, operations and properties.
  • Real functions of one real variable: general concepts and examples. Composite and inverse functions. Graph of a function. Graphs of elementary functions: linear, power, exponential, and logarithmic functions. Piecewise-defined functions and their graphs. Transformations of elementary functions.
  • Exponential equations and inequalities. Properties of logarithms. Logarithmic equations and inequalities.

  • More on functions: increasing/decreasing, concave/convex, and bounded functions. Global and local extrema of a function.

  • Graph of a function: domain, behavior at the boundaries, zeros (or x-intercepts), y-intercept, sign, monotonicity, points of maximum and minimum, concavity and convexity.

  • Summation symbol and remarkable sums. Summation properties. 

  • Basic language and examples of differential calculus.

 


Intended Learning Outcomes (ILO)

KNOWLEDGE AND UNDERSTANDING

At the end of the course student will be able to...
  • Describe and identify the main properties of a function.
  • Reproduce and explain basic calculations with numbers.

APPLYING KNOWLEDGE AND UNDERSTANDING

At the end of the course student will be able to...
  • Apply the convenient rules and methods to solve equations and inequalities.
  • Analyze a plot to argue the main properties of a function.
  • Use and interpret mathematical symbols and expressions.

Teaching methods

  • Lectures
  • Practical Exercises

DETAILS

A number of examples and exercises will be illustrated in class. Also a set of exercises for each covered topic will be available so that students may test their learning and comprehension.

 

 


Assessment methods

  Continuous assessment Partial exams General exam
  • assessment will be included in the course of Quantitative methods
 x    

ATTENDING AND NOT ATTENDING STUDENTS

Assessment is included in the assessment procedures for Quantitative Method Course, first semester, third year.

 

There will be no additional assessment procedures.


Teaching materials


ATTENDING AND NOT ATTENDING STUDENTS

All teaching material is available on Bboard platform.

Last change 25/05/2024 14:40