Principles of Microeconomics – OCW 14.01As I grow closer to ready to start the MIT DEDP Micromasters program, I need to start shoring up other skillbases so that I’m confident and strong rather than scrambling when the starting pistol fires. …
OCW 6.041SCLecture 1 Probability Models & AxiomsLecture 2: Conditioning and Bayes’ RuleTextbook – Introduction to Probability – Bertsekas & Tsitsiklis1.1 Sets1.2 Probabilistic Models1.3 Conditional Probability1.4 Total Probability Theory & Bayes’ Rule Looking forward at the plans I’m formulating for future…
Professor Leonard – Calculus 314.7: Triple Integrals Over Regions with Cylindrical or Spherical Coordinates14. 8: How to Change Variables in Multiple Integrals (Using the Jacobian)15.1: Introduction to Vector Fields (and what makes them Conservative)15.2: How to Find Divergence and Curl…
Professor Leonard – Calculus 314.4 – Center of Mass (and Moments of Mass and Inertia) for Lamina in 2-D14.6 – How to Solve Triple Integrals (Along with Center of Mass and Volume)Thomas – 15.5 Triple Integrals in Rectangular Coordinates; 15.6…
Constrained Optimization with LaGrange Multipliers Introduction to Double Integrals How to Solve Double/Repeated/Iterated Integrals Double Integrals Over Polar Regions I’ve just finished writing my latest update-on-life kind of blog. I’ve explained that I’ve been at odds with consistently writing my…
Procrastination works the same, regardless of what’s being procrastinated on: The longer it’s procrastinated on, the easier it is to procrastinate further. It’s only urgency that can break the circuit, be it imposed upon externally through circumstances, or chosen and…
Professor Leonard – Calculus 313.8 – Finding Extrema of Functions of 2 Variables (Max and Min)Thomas – 14.7 Extrema and Saddle Points Quick Review of ExtremaIn Calculus 1, we learned the local (relative) extrema are points that are higher (local…
Professor Leonard – Calculus 3 13.4 – Finding Differentials of Multivariable Functions 13.7: Finding Tangent Planes and Normal Lines to SurfacesThomas – 14.6 Tangent Planes and Differentials Review: Derivatives, Tangent Lines, and LinearizationOne begins their Calculus journey learning about the derivative. We…
Professor Leonard – Calculus 3 – 13.6: Finding Directional Derivatives and GradientsThomas – 14.5 Directional Derivatives and Gradient VectorsThe Reason for Directional Derivatives At any point on a surface there are infinitely many directions in which we can travel. Each…
Professor Leonard – Calculus 3 – 13.5: The Chain Rule for Multivariable Functions Thomas – 14.4 The Chain Rule Our Old Friend, the Chain RuleThe Chain Rule is one of the first major tools one learns in Calculus. It is used…
