Electromagnetism: UNIL-208Introduces the basics of electromagnetism, covering derivatives, vector calculus, scalar and vector products, and their applications in physics and engineering.
Implicit Function TheoremCovers the Implicit Function Theorem for functions of two variables and explores graphical representations and tangent lines.
Vector Calculus in 3DCovers the concept of 3D vector space, scalar product, bases, orthogonality, and projections.
Scalar ProductExplains the concept of scalar product, its properties, and geometric interpretation.
Scalar Product and Euclidean SpacesCovers the definition of scalar product, properties, examples, and applications in Euclidean spaces, including the Cauchy-Schwartz inequality.