Films · Mathematics · Financial mathematics, part 1
Prof. Dr. Dirk Schieborn
Higher Mathematics 1 · Reutlingen University
Lecture film · Higher Mathematics 1 · Financial Mathematics, Part 1
A Staircase, a Curve, an Old Machine: Arithmetic and Geometric Sequences
Lecture film · Higher Mathematics 1 · Financial Mathematics, Part 1
A Staircase, a Curve, an Old Machine: Arithmetic and Geometric Sequences
Prof. Dr. Dirk Schieborn
Higher Mathematics 1 · Reutlingen University
Arithmetic means always plus the same, geometric always times the same. Output, depreciation and compound interest are almost always one of the two sequences.
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A Staircase, a Curve, an Old Machine: Arithmetic and Geometric Sequences
Prof. Dr. Dirk SchiebornHigher Mathematics 1 · Reutlingen UniversityAn explainer film in five chapters, made from a real lecture: two rows of bars that look like a financial plan but are pure mathematics, the arithmetic sequence as a staircase with equal steps, the geometric sequence with a constant factor, explicit versus recursive (how many sleeps left?) and a machine that loses value straight-line or declining-balance and, declining, never reaches zero. Pause anywhere and ask.
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