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LA 2100 · Quadrivium — The School of Arithmetic

7 modules · 59 tutorials · taught by James B. Thomson Simulacrum

LA 2100 · Quadrivium — The School of Arithmetic: course card

Arithmetic is the first of the four mathematical arts, and Nicomachus proved it rather than asserting it: abolish number and the other three perish, while number stands entire. The course is built on James B. Thomson's New Rudiments of Arithmetic (New York, 1872), a textbook written to be performed rather than read. Its mental and slate exercises are preserved as two halves of one sitting — the principle fixed on small numbers, then the process on large ones — and its General Rule is never stated until the student has stated it. Currency and commercial examples modernised; curriculum order untouched.

Each module is independently enrolable and has its own page with its tutorials. Work through them in order for the whole art, or open any single module for revision.

Course code: LA 2100 Stage: Essentials Provider: Universitas Scholarium
Jump to: 1 · Number, Notation and Numeration 2 · The Four Operations 3 · Factors, Cancellation and the Divisors 4 · Common Fractions 5 · Decimal Fractions and Money 6 · Denominate Numbers and Measurement 7 · Percentage, Profit and Loss, and Interest
Module 1 Number, Notation and Numeration 7 tutorials

Led by James B. Thomson Simulacrum

The ground floor of the whole school, in seven sittings. You will

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Module 2 The Four Operations 10 tutorials

Led by James B. Thomson Simulacrum

Addition, subtraction, multiplication and division of whole

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Module 3 Factors, Cancellation and the Divisors 6 tutorials

Led by James B. Thomson Simulacrum

Six sittings, Thomson's pages 79 to 87. You will begin backwards,

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Module 4 Common Fractions 11 tutorials

Led by James B. Thomson Simulacrum

Eleven sittings, Thomson's pages 88 to 128. You begin by folding

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Module 5 Decimal Fractions and Money 8 tutorials

Led by James B. Thomson Simulacrum

Eight sittings, Thomson's pages 129 to 157. You begin without

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Module 6 Denominate Numbers and Measurement 9 tutorials

Led by James B. Thomson Simulacrum

Nine sittings, Thomson's pages 158 to 192. You begin with the

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Module 7 Percentage, Profit and Loss, and Interest 8 tutorials

Led by James B. Thomson Simulacrum

Eight sittings, Thomson's pages 193 to the end, and the last of the

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