Menu (linked Index) Field Operators: Grad, Div, and Curl Last Update: August 18, 2025 Introduction Definitions Graphing a Vector Field Differentiation Basics The Gradient Operator Divergence Operator The Laplacian Direction of Axis of Rotation The Curl Operator Excellent Educational Video References Appendix 1: Uses of the Derivative Introduction This post is about three fundamental operators […]
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Menu (linked Index) Vector Math Last Update: August 12, 2025 Introduction Vectors and Scalars The Unit Vector Specifying/Defining a Vector Vector Addition Vector Subtraction Vector Multiplication by a Scalar Length (Magnitude) of a Vector Vector Dot Product Vector Cross Product Introduction Vectors are mathematical constructs that indicate magnitude and time. They are very useful in
Menu (linked Index) The Derivative Last Update: August 6, 2025 Introduction The Derivative Derivative Rules Derivatives of Some Useful Functions Ordinary Derivative Partial Derivative Introduction This article is a high level introduction to the mathematical tool called differentiation. At its core, differentiation is the process of finding the instantaneous rate of change of a function
Menu (linked Index) Unit of Measure Conversion Factors Last Update: July 13, 2025 Introduction Exponentials, Scientific Notation, and SI Prefixes Volume Equivalents (Conversion Factors) Mass Equivalents (Conversion Factors) Length Equivalents (Conversion Factors) Pressure Equivalents I.(Conversion Factors) Pressure Equivalents II. (Conversion Factors) Energy Equivalents I. (Conversion Factors) Energy Equivalents II. (Conversion Factors) Power Equivalents I. (Conversion
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Menu (linked Index) Work and Energy Last Update: July 10, 2025 Introduction Work Kinematic Equations Kinetic Energy Gravitational Potential Energy Law of Conservation of Energy Spring Forces (Hooke’s Law) Conservative Forces Mechanical Energy Equations Introduction In this post we’ll review some fundamental principles that govern motion and energy in our universe. The exploration begins with
Menu (linked Index) First Law of Thermodynamics Last Update: July 10, 2025 Introduction Work and Energy Internal Energy U External Energy First Law of Thermodynamics State and Path Functions Enthalpy H Steady State Flow Process Deriving Mechanical Energy Equations from The 1st Law Appendix 1 – History of Energy Introduction In this post, I describe
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Menu (linked Index) Integration Rules Last Update: July 1, 2025 Introduction Integral Definition Integral Notation Integration: Basic Formulas Beyond basic integration Introduction Finding the area under a curve in physics is very useful. For example, the work done on an object that is displaced a distance d is computed as W = force x distance.
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Menu (linked Index) Fundamental Particles and Forces Last Update: June 28, 2025 Introduction Zooming In The Standard Model Quarks and The Strong Force Leptons The Electromagnetic Force Recap of the Strong and Electromagnetic Forces The Weak Force The Higgs Field and the Higgs Boson The Gravitational Force Summary Conclusion Introduction This post describes the elementary
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Menu (Linked Index) SI Base and Derived Units Charts and Tables Last Revision: July 13, 2025 This post is intended to be an addendum to my post on SI Base Unit definitions. Here I present tabulations of the various SI Base Units and the other units (quantities) derived from these units. I also provide a
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Menu SI Base Units Last Revision: July 13, 2025 Introduction Exponentiation and Scientific Notation Primer SI Base Units SI Base Unit Definitions Introduction This post describes the 7 SI Base Units. I first give you a basic primer on scientific notation because some of the base units deal with very big and very small numbers.
