After attending this class, students are familiar with basic concepts of multivariable and vector calculus, as well as Fourier and Laplace transforms. 

Blackboard or computer presentations

1. Fields and vector differential operators (Review of vectors, Scalar fields, vector fields and curves, Vector differential operators, Vector differential identities, Special fields and potentials, Total derivative of a curves, Chain rule for fields and curves,  Taylor's theorem, Extreme values, Newton's method)2. Vector integration (Line integrals, Multiple integrals, Special coordinate systems)3. Transformations (Fourier series, Fourier transform, Laplace transform)

Analysis 1 for Engineers

Large parts of the course are based on the lecture notes "Vector Calculus" by Andrea Moiola (https://mate.unipv.it/moiola/ReaDG/VC2016/VectorCalculus_LectureNotes_2016.pdf)

Written exam in the last week of the course

Contents of the class

50% of the obtained points in the exam are sufficient to pass