08234 - Elements of Mathematics

Academic Year 2017/2018

  • Docente: Luca Ferrari
  • Credits: 5
  • SSD: MAT/05
  • Language: Italian
  • Teaching Mode: Traditional lectures
  • Campus: Bologna
  • Corso: Single cycle degree programme (LMCU) in Pharmacy (cod. 9219)

Course contents

  1. Proportions and percentages.
  2. Proportionality.
  3. Main units of measure. Multiples and submultiples. Scientific notation. Approximation.
  4. Areas and volumes. Trigonometry.
  5. Points and lines in the cartesian plane.
  6. Definition of function. Domain and image. Image and inverse image. Invertible functions and inverse function.
  7. Graphs of polynomial, rational, irrational, exponential and logarithmic functions. Related problems.
  8. Limits and derivatives (hints).
  9. Combinatorics: combinations and permutations.
  10. 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.
  11. Arithmetic mean, weighted mean, median, variance and standard deviation of a data set.
  12. Random variables and probability distributions. Normal distribution and gaussian function. Standardization. Continuity correction.

Readings/Bibliography

V. Villani, G. Gentili, Matematica 5/ed - Comprendere e interpretare fenomeni delle scienze della vita, McGraw-Hill, 2012.

F. Cagliari, Matematica per Farmacia, McGraw-Hill Create, 2014 (special edition from Marco Abate, Matematica e Statistica - Le basi per le scienze della vita, seconda edizione, McGraw-Hill, 2013).

D. Benedetto, M. Degli Esposti, C. Maffei, Matematica per le scienze della vita, Casa Editrice Ambrosiana, 2008.


Assessment methods

Written exam.

Office hours

See the website of Luca Ferrari