MIT OCW 18.06SC Sections – Lectures & Reading: Lecture 22: Diagonalization & Powers of A Strang 6.2 Diagonalizing a matrix is rewriting it in a form such as Where D equals a diagonal matrix of eigenvalues and P contains the…
MIT OCW 18.06SC Sections – Lectures & Reading: Lecture 21: Eigenvalues and Eigenvectors Strang 6.1 Early on in Linear Algebra I tried my best to see the study of Linear Algebra as the study of linear transformations, as functions that…
Introduction to Vector Functions Professor Leonard – Calculus 3 – 12.1: Introduction to Vector Functions 12.2: Derivatives and Integrals of Vector Functions We’re already familiar with parametric equations from previous work in Calculus Vector functions are the logical progression into…
Cylindrical and Spherical Coordinates Professor Leonard – Calculus 3 – 11.7 Using Cylindrical and Spherical Coordinates Now that we’ve had a look at cylinders and quadric surfaces, we switch our attention to effective ways of describing them in equations. Rather…
Cylinders and Quadric Surfaces Professor Leonard – Calculus 3 – Cylinders and Surfaces in 3D Prior to moving into what will surely be the examination of change in patterns we can describe geometrically, we first look at the types of…
Lines and Planes in Space Professor Leonard – Calculus 3 – 11.5 ‘Lines and Planes in 3D’ Thomas – 12.5 ‘Lines and Planes in Space’ If we have a point on an unknown line L, and we also have…
The Cross Product Professor Leonard – Calculus 3 – 11.4 ‘The Cross Product’ Thomas – 12.4 ‘The Cross Product’ I apologize to you, the vacuum of non-readership, and me, the perpetrator and victim, for my blogging neglect. It’s happened again…
MIT OCW 18.06SC Sections – Lectures & Reading: Hours Spent ~ 20 hours The determinant has been with me since the beginning of Linear Algebra. We learn almost immediately that it’s an important concept, although we don’t know why. I…
MIT OCW 18.06SC Sections – Lectures & Reading: Hours Spent ~ 60 hours Calculus 3 Professor Leonard Hours Spent ~ 12 hours I did it again – I neglected my blogging duties. I was sure I’d get back on track,…
February flew by in a blur. I hardly had time to breathe, let alone stop and smell the roses. When I have stopped, I’ve generally found myself confused about what’s happening, missing the human elements in life (friendship, interaction, physical…
