Formulas & shortcuts
History of Azerbaijan · 41
Every formula in this course and the easiest ways to remember them, on one page.
1Ancient AzerbaijanBeginner
The first people of Azerbaijan
Open lessonThe first states: Manna and Atropatene
Open lessonCaucasian Albania
Open lessonMonuments of Azerbaijan on the map, by period and district
Open lesson2Medieval AzerbaijanIntermediate
Azerbaijan in the 3rd–7th centuries: the Sasanians, the Mehranids and Javanshir
Open lessonAzerbaijani states of the 9th–11th centuries
Open lessonThe Seljuks and the Atabeg state of Azerbaijan
Open lessonThe Shirvanshah state
Open lessonThe Qaraqoyunlu state
Open lessonThe Aghqoyunlu state
Open lesson3From the khanates to the RepublicIntermediate
Russian conquest, the oil boom and the enlightenment
Open lessonThe Azerbaijan Democratic Republic (1918–1920)
Open lesson4In depth: from the Mongols to the Russian conquestIntermediate
The Mongol invasions and the Hulaguid state
Open lessonThe Safavid state: rise, reforms and decline
Open lessonBetween empires: Azerbaijan in 1722–1797
Open lessonThe conquest of Northern Azerbaijan: Gulistan and Turkmenchay
Open lesson5The Soviet era and independent AzerbaijanAdvanced
Azerbaijan in the Soviet era (1920–1991)
Open lessonIndependent Azerbaijan
Open lesson6In depth: the 20th century — from the national movement to state buildingAdvanced
The national movement, 1905–1918
Open lessonThe Democratic Republic: state building and diplomacy
Open lessonSoviet Azerbaijan: borders, society and culture
Open lessonRestoring independence and building the state (1988–1995)
Open lesson7Historical method, trade and economyUniversity
Sources and historiography: how historians verify facts
Open lesson- Namount of ¹⁴C left in the sample now
- N₀amount of ¹⁴C at the time of death
- ttime since death, in years
- T½half-life of ¹⁴C ≈ 5,730 years
The law of radioactive decay: the amount halves every T½. The second form follows from the first by taking logarithms.
- MGregorian (AD) year
- HHijri (AH) year
Derivation: a Hijri year is about 354 / 365 ≈ 32 / 33 of a solar year, so H Hijri years ≈ H · 32 / 33 = H − H / 33 solar years; 622 is the starting year. Accuracy ±1 year.
Azerbaijan on the Silk Road: trade, cities and crafts
Open lesson- tjourney time in days (number of day-stages)
- sdistance, km
- vdistance a caravan covers per day, km/day
- nnumber of intermediate caravanserais for overnight stops, not counting the start and end points
A simple model: the caravan covers about the same distance each day and stops at a new caravanserai every evening.
- Pₙfinal price after n middlemen
- P₀initial price where the goods were produced
- reach middleman's markup as a decimal (20% → 0.2)
- nnumber of middlemen
At each step the price is multiplied by (1 + r); after n steps, by (1 + r)ⁿ.
The economy and foreign policy of independent Azerbaijan
Open lesson- M(new)amount in new manats (AZN)
- M(old)amount in old manats (AZM)
From 1 January 2006: 5,000 old manats = 1 new manat. Redenomination changes prices and incomes in the same proportion; it does not change purchasing power.
- Vdaily volume, in litres
- Qdaily throughput, in barrels
- 1591 barrel ≈ 159 litres
In the oil industry, volume is usually measured in barrels; 1,000 litres = 1 m³.
- g(real)real growth, % (after removing price rises)
- g(nominal)nominal growth, % (at current prices)
- πinflation, %
Exact form: 1 + g(real) = (1 + g(nominal)) / (1 + π). For small percentages, simple subtraction is accurate enough.
8Source criticism and the economic history of oilUniversity
Reading sources critically: names, dates and bias
Open lesson- Δthe difference between the two calendars (days)
- Ythe year; for Old Style dates from 1 January to 28 February of 1700, 1800 or 1900 use Y − 1
- ⌊x⌋the integer part of x (round down)
Valid for 1582–2099 (2000 was a leap year in both calendars, so Δ = 13 for 2000–2099).
Economic history of Baku oil (1846–1949)
Open lesson- mmass in tonnes (t)
- nnumber of puds; 1 pud = 16.38 kg
Puds → tonnes.
- Nnumber of barrels
- mmass of oil, t
- ρdensity of the oil, t/m³ (usually 0.8–0.95)
- vvolume of one barrel ≈ 0.159 m³ (158.99 L)
Tonnes → barrels: first volume from mass (m / ρ), then the number of barrels from the volume.
- gaverage annual growth rate (e.g. 0.02 = 2 %)
- V₀, V₁start and end values (in the same unit)
- nnumber of years
It follows from compound growth: V₁ = V₀ · (1 + g)ⁿ; divide both sides by V₀ and take the n-th root.
- sshare, %
- xthe part (e.g. Baku's output)
- Xthe whole (e.g. world output)