• Understand the concept of function in mathematical modeling to identify the relationship between a group of variables of interest.
• Analyze the mathematical properties of the main functions used in business and finance.
• Design mathematical equations to describe and analyze problems in the areas of finance and business .
• Use specialized software to simulate a function.

Topic 1: Linear Functions

1.1 Geometric presentation of a linear equation. Linear interpolation. Slope concept.

1.2 First order difference equation. Introduction to simulation.

Topic 2: Linear Algebra

2.1 Solution of simultaneous equations. Concept of a vector and a matrix.. Geometric representation.

2.2 Matrix operations. Characterization of the number of solutions in a system. Linear Transformation Concept.

Topic 3: Nonlinear functions

3.1 Polynomials and root determination. Concepts of Concavity and Convexity.

3.2 Exponential and Logarithmic Equations .

Topic 4: Infinitesimal calculus.

4.1 Concept of limit and derivation rules. Interpretation of the derivative as a measure of sensitivity.

4.2 Approach to nonlinear functions through Taylor series. Non-linear optimization and First Order Conditions.

Topic 5 : Financial Mathematics.

5 .1 Yield and Discount Rates, Geometric Series, Present Value Formulas,

5 .2 Calculation of Perpetuities, Annuities and IRR of a bond.