Insegnamento a.a. 2025-2026

• Summation symbol and properties. Summation properties. 
• Geometric sequence of real numbers. Elementary exponential equations.
• Real functions of one real variable: general concepts and examples. Graph of a function. Composite and inverse functions. Graphs of elementary functions: constant, linear, affine, power and exponential. Piecewise-defined functions. The maximum and minimum between two functions.

• Function properties: monotonicity, boundedness and concavity. Maximizers and minimizers of a function. Geometric meaning of a derivative of a function at a point. 

• Graph of a function: domain, behavior at the boundaries, zeros (or x-intercepts), y-intercept, sign, monotonicity, points of maximum and minimum, concavity and convexity.

• Introduction to financial mathematics. Elementary financial operations. Accumulation and discount problems. Accumulation and discount factors. Symmetric financial operations. Simple interest. Simple interest and floating interest rates. Compound interest. Equivalent interest rates. Compound interest and floating interest rates. Decomposability property. 

• Introduction to annuity. Present value and final value of an annuity. 

• Describe and identify the main properties of a function.
• Reproduce and explain basic calculations with amounts of money.

• Apply the convenient rules and methods to solve equations.
• Analyze a graph to argue the main properties of a function.
• Using mathematics in evaluating financial operations.

• Lectures
• Practical Exercises

A number of examples and exercises will be illustrated in class. Also a set of exercises for each covered topic will be available so that students may test their learning and comprehension.

Assessment is included in the assessment procedures for Quantitative Method Course, first semester, third year.

There will be no additional assessment procedures.

All teaching material is available on Bboard platform.