Calculus and Differential Equations

The Laplace Equation and Harmonic Functions
Curvature, Intrinsic and Extrinsic
Radial Paths in Schwarzschild Spacetime
Analytic Functions, The Magnus Effect, and Wings
Fourier Transforms and Uncertainty
Integrating the Bell Curve
Compressor Stalls and Mobius Transformations
Dual Failures with General Densities
Phase, Group, and Signal Velocity
Series Solutions of the Wave Equation
The Limit Paradox
Proof That PI is Irrational
Simple Proof that e is Irrational
The Filter Of Observation
Eigenvalue Problems and Matrix Invariants
Root-Matched Recurrences For DiffEQs
Zero-Order Remainders
Why Calculus?
The Fundamental Anagram of Calculus
Functions With No Zero Derivatives
High Order Integration Schemes
Do We Really Need Eigen Values?
Leibniz's Rule
Convergence of Series (How NOT to Prove PI is Irrational)
Sum of n^2 / (n^3 + 1), n=1 to inf
Tilting Pencils
Curvature of Linear Interpolation
Ptolemy's Orbit
Distances In Bounded Regions
Newton's Proposition LXXI
Rolling Spheres and Cones
Integrating Factors
Series Solution of Non-Linear Equation
Volume of n-Spheres and the Gamma Function
Choice Without Context?
Infinite Products and a Tangent Fan
Maximizing A Symmetrical Function
Cylinders with Cylindrical Holes
Ratio Populations
Harmonic Sums of Integers with k Binary 1's
Perpendicular Regression Of A Line
The Prismoidal Formula
On Random Chords
Potential Flow and d'Alembert's Paradox
Logarithmic Integral and a Recurrence
Round-Robin Ties
Refractions on Relativity
Irrationality of Quadratic Sums
Time for a Rocking Chair
Gravitational Acceleration in Schwarzschild Coordinates
Net Area and Green's Theorem
How Leibniz Might Have Anticipated Euler
Meandering Convergence of a Dirichlet Series
Mean Distance from Vertex to Interior of Plane Figures
Aliasing and Uncertainty
Frequency Response of First-Order Lag
Mean Partial Sums of Non-Convergent Series
Constant Headings and Rhumb Lines
Inverse-Square Forces and Orthogonal Polynomials
Did Archimedes Know Gauss-Bonnet?
Enveloping Circular Arcs
Laplace Transforms
The Wave Equation and Permutation of Rays
Huygens' Principle
The Helen of Geometers
Recurrence Relations for Ordinary Differential Equations
The Curvatures of Hypersurfaces
Poisson Processes and Queues
Lagrangian and Hamiltonian Mechanics
Lead-Lag Frequency Response
Differential Operators and the Divergence Theorem
Precession in a Circle
Higher-Order Wave Equations and Matter Waves
Complete Solutions of Linear Systems