Engineering

Units and Vectors: Standards and units. Dimensions. Vectors. The unit vector. The position vector. Components of a vector. Scalar and vector products. Types of vectors. The derivative of a vector. Problems. Motion of a Particle: Rectilinear motion. Average and instantaneous velocity, acceleration. Motion in a plane. Physical coordinates. General motion in space. Coordinate systems. Motion of a […]

Applied Mathematics I

Vector calculus in euclidean space Matrice calculus and determinants Systems of linear equations Linear transformations Eigenvalues, eigenvectors and diagonalization Analytic geometry

Mathematics I

Differential Calculus – Functions of one variable (Real Functions of a real variable, the derivative and the differential of the function, applications of a derivative, study of the real functions using derivatives) – Integral Calculus – Functions of one variable (Indefinite integrals, the definite integral, improper integrals, approximate methods, applications of integrals).