- Docente: Luca Ferrari
- Language: English
- Teaching Mode: Traditional lectures
- Campus: Bologna
- Corso: First cycle degree programme (L) in Economics and Finance (cod. 8835)
Course contents
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.
Readings/Bibliography
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.
Office hours
See the website of Luca Ferrari