33507 - CRASH COURSE IN MATHEMATICS

Anno Accademico 2015/2016

  • Modalità didattica: Convenzionale - Lezioni in presenza
  • Campus: Bologna
  • Corso: Laurea in Economics and finance /economia e finanza (cod. 8835)

Contenuti

1. Set theory and number sets.

2. Powers and roots.

3. Polynomial factorization and polynomial division.

4. Algebraic, rational, irrational and absolute-value equations.

5. Linear and nonlinear systems of equations.

6. Algebraic, rational, irrational and absolute-value inequalities. Systems of inequalities.

7. Cartesian geometry: points and distances; lines, circles and parabolas. Areas and volumes.

8. Functions: main concepts. Natural domain, graph and main properties of rational, irrational, exponential and logarithmic functions. Euler's number. Symmetries: even and odd functions.

9. Exponential and logarithmic equations and inequalities.

10. Degrees and radians. Trigonometric functions: sine, cosine and tangent. Special values. Inverse trigonometric functions. Graph and period of trigonometric functions. Main trigonometric identities. Trigonometric equations and inequalities.

Testi/Bibliografia

Any precalculus book can be used for the course. The following are just a suggestion. 

Fred Safier, Schaum's Outline of Precalculus, 3rd edition, McGraw-Hill, 2012.

W. Michael Kelley, CliffsQuickReview Precalculus, Wiley Publishing, 2004.

Orario di ricevimento

Consulta il sito web di Luca Ferrari