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Handheld computer (HP 41C) algorithms are presented for basic and advanced magnetic exploration models along principal profiles. The thirteen models are: monopole, 2D line of poles, sheet of poles, dipole, 2D line of dipoles, 2D horizontal sheet of dipoles, 2D dipping thin sheet, 2D dipping thick sheet, 2D sloping step, 2D body with polygonal cross section, prolate and oblate ellipsoids of revolution, 2D elliptic cylinder, vertical rectangular prism. Key diagrams, program useage instructions, worked numerical example, program listing and register contents are given for each model. Induction, remanence, demagnetization and susceptibility anisotropy effects are calculated. The vertical circular and annular cylinders are treated for the cases of induction and remanence.