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08234 - Elements of Mathematics

Academic Year 2023/2024

                
                        Docente:
                        Luca Ferrari
                    
                        Credits:
                        6
                    
                        SSD:
                        MAT/05
                    
                        Language:
                        Italian
                    
                        Teaching Mode:
                        Blended Learning
                        
                            Campus:
                            Bologna
                        
                            Corso:
                            Single cycle degree programme (LMCU) in
                            Pharmacy (cod. 5985)

                            Online Lessons
                        
                            Teaching resources on Virtuale
                        
                                    Course Timetable
                                
from Oct 05, 2023 to Jan 09, 2024

Learning outcomes

At the end of the course the student: - knows the notions of basic mathematics and their main applications in the biological-sanitary field; - possesses the necessary skills for an autonomous use of the mathematical tools in the professional practice.

Course contents

Proportions and percentages.
Proportionality.
Main units of measure. Multiples and submultiples. Scientific notation. Approximation. Conversion of units.
Areas and volumes. Trigonometry.
Points and lines in the cartesian plane.
Definition of function. Domain and image. Image and inverse image. Invertible functions and inverse function.
Graphs of polynomial, rational, irrational, exponential and logarithmic functions. Related problems.
Combinatorics: combinations and permutations.
Probability. Union and intersection of events. Complementary event. Mutually exclusive and non-exclusive events. Dependent and independent events. Conditional probability. Applications: genetics and diagnostic tests.

Readings/Bibliography

V. Villani, G. Gentili, Matematica 5th/ed or 6th/ed - Comprendere e interpretare fenomeni delle scienze della vita, McGraw-Hill.

D. Benedetto, M. Degli Esposti, C. Maffei, Matematica per le scienze della vita, Casa Editrice Ambrosiana.

Teaching methods

Lectures and exercises.

Assessment methods

During the lesson period there are 3 optional tests (20 minutes each) that take place online, consisting of a total of 15 questions. The tests allow to obtain a bonus equal to 1 point if the correct questions are from 9 to 11, 2 points if the correct questions are from 12 to 15. The bonus is added to the final exam grade, but only if the exam is passed in January and February.

The final exam (90 minutes) consists of a written test containing 22 questions: 15 questions of 1.2 points each, and 7 questions of 2 points each. The sum of the scores of the correct answers is the final exam grade.

All further details on the exams are published on Virtuale.

Teaching tools

Virtuale, Teams, Panopto.

Office hours

See the website of Luca Ferrari