Mathematics I MARSO1001A

Course content:
Vectors in R2 and R3
Matrices and determinants. Linear systems of equations.
Complex numbers.
Logarythmic, exponential, trigonometric and cyclometic functions.
Limits, continuity.
The derivative, differentiation formulas, chain rule. Applications of the derivative.
Integration, methods of integration.
Definite integral. Applications of definite integral.
Ordinary differential equations. Linear first and n-th order differential equations.
Laplace transform. Application transform to differential equations.

Learning outcomes: basic knowledge from linear algbra, calculus I, differential equations and Laplace transform and ability for its applications, especially in mechanica and control