# course

## Aims of the course

To develop logical thinking.
To give to the student the basic mathematical notions, needed to discuss economic and business problems from the quantitative point of view.

## Course syllabus

1. Functions of one variable
1.1. Function, function composition, inverse function
1.2. Linear function
1.3. Polynomials, rational functions
1.4. Exponential function, logarithm
1.5. Continuity and limit
2. Derivative and applications
2.1. Derivative and differential
2.2. Taylor's series
2.3. Analysis of a function
2.4. Applications in economics
3. Functions of two variables
3.1. Partial derivatives and differential
3.2. Unconstrained extrema
4. Indefinite and definite integral
5. Mathematics of finance
6. Linear algebra
6.1. Matrices
6.2. Determinants
6.3. Systems of linear equations
6.4. Input-output models
7. Probability calculus
7.1. Combinatorics
7.2. Event algebra
7.3. Probability, conditional probability
7.3. Bernoulli trials sequence
7.5. Discrete random variables
7.6. Continuous random variables
7.7. Moments

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