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.