Calculus Solvable Math Models include:

  • Differential Equations (ODEs & PDEs)
  • Nonlinear equations
  • Implicit equations
  • Constrained equations
Calculus programming is a Proven Approach ...
  • Allows Rapid Prototyping
  • Decouples Math Models from Algorithms
  • Accelerates Problem "Understanding"
  • Enabled by Automatic Differentiation

Most problems are solved in hours! A PDE make require a day or two. Code consists of ones equations and a dozen or so other lines. Try it you'll like it!


Math Modeling Examples:

Problem-Solving Applications include:

CurvFit: a curve fitting program with Lorentzian, Sine, Exponential and Power series are available models to match your data.

Match-n-Freq: a Matched Filter program used to filter signals and slim pulses.

Industry Problem-Solving Descriptions include:

Electrical Filter Design: find the transfer function's poles & zeros; H(s) = Yout(s) / Yin(s).

Pulse Slimming to minimize InterSymbol Interference: via Arbitrary Equalization with Simple LC Structures to reduce errors.

Voice Coil Motor: basically an electromagnetic transducer in which a coil placed in a magnetic pole gap experiences a force proportional to the current passing through the coil.

AC Motor Design: a simulation program for A.C. motor design that was reapplied as a constrained optimization problem with 12 unknown parameters and 7 constraints.

Digitized Signal from Magnetic Recording: Magnetic recording of transitions written onto a computer disc drive may produce an isolated pulse as shown.

PharmacoKinetics: an open-two- compartment model with first order absorption into elimination from central compartment is presented here.


 
Valid CSS! Calculus (level) Problem-Solving for Engineers & Scientists Author's Amazon Account