Linear Algebra: Vectors These are my notes of the lectures by Denis Auroux. 18.02 Multivariable Calculus. Fall 2007. Massachusetts Institute of Technology: MIT OpenCourseWare, https://ocw.mit.edu. License: Creative Commons BY-NC-SA. Description will use a plane \(\mathbb{R}^2\), or space \(\mathbb{R}^3\), but the same principles apply to higher dimensions. Vectors are commonly displayed on the \(xyz\)-axis, with unit vectors \(\hat\imath\, \hat\jmath, …

Line Integration Vector calculus is about differentiation and integration of vector fields. This article gives an overview of the integration operations.

Curve length Length of the arc in function graphs and parametric functions.

Differentiation with multiple variables Vector calculus is about differentiation and integration of vector fields. This article gives an overview of the differentiation. operations.

Lineair Differential Equations Introduces Lineair Inmomogeneous Differential Equations with constant coefficients.

Binomial Theorem Proof of Isaac Newton generalized binomial theorem

Geometric series Derives formulas for finite and infinite geometric power series.