A structured record of my self-study in mathematics, including study logs, problem walkthroughs, deeper explorations and reflections, and preparation for advanced coursework.
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,…
MIT OCW 18.06SC Sections – Lectures & Reading: Hours Spent ~ 75 hours Summary I’ve been negligent. The last time I committed a blog entry for math was my first Linear Algebra blog back on January 20. Today is March…
MIT OCW 18.06SC Section: Elimination with Matrices Supplementation: Hours Spent: ~30 hours Summary I started the Linear Algebra course more than two weeks ago. The first sections of the OCW, i.e. The Geometry of Linear Equations and An Overview of…
The end of 2025 was busy. I moved out of my home on my birthday, and from Vietnam back to Indonesia. In the last month I’ve moved through Bali, Surabaya, and back to Jogja. There’s a story behind that, but…
